a kinetic transport and reaction model and simulator for rarefied gas flow in the transition regime we present a model for rarefied gas flows that are characterized by reactive species as minor constituents in a dominant inert carrier species the kinetic transport and reaction model consists of a system of transient linear boltzmann equations for the reactive species in the flow this model applies to a wide range of transport regimes including the transition regime in which both transport and collisions between molecules must be taken into account characterized by knudsen numbers on the order of unity a numerical simulator based on a spectral galerkin method in velocity space approximates each linear boltzmann equation by a system of transient conservation laws in space and time with diagonal coefficient matrices which are solved using the discontinuous galerkin method this deterministic solver gives direct access to the kinetic density that is the solution to the boltzmann equation as a function of position velocity and time it is valuable to have direct access to the velocity dependence in order to analyze the underlying kinetic causes of macroscopic observeables using chemical vapor deposition as an important application example the influence of process parameters is studied in two dimensional reference studies and transient studies for a three dimensional domain that represents structures seen during integrated circuit fabrication

an iterative scheme for a class of quasi variational inequalities an iterative scheme is given to obtain the approximate solution of a class of quasi variational inequalities it is shown that the approximate solution obtained by the iterative scheme converges strongly in the hilbert space to the exact solution as a special case we obtain the corresponding iterative scheme for variational inequalities

discretization of the multiscale semiconductor boltzmann equation by diffusive relaxation schemes in this paper we derive diffusive relaxation schemes for the linear semiconductor boltzmann equation that work in both the kinetic and diffusive regimes similar to our earlier approach for multiscale transport equations we use the even and odd parity formulation of the kinetic equation and then reformulate it into the diffusive relaxation system drs in order to handle the implicit anisotropic collision term efficiently we utilize a suitable power series expansion based on the wild sum which yields a time discretization uniformly stable with any desired order of accuracy yet is explicitly solvable with the correct drift diffusion limit the velocity discretization is done with the gauss hermite quadrature rule equivalent to a moment expansion method asymptotic analysis and numerical experiments show that the schemes have the usual advantages of a diffusive relaxation scheme for multiscale transport equations and are asymptotic preserving

a new completely general class of variational inclusions with noncompact valued mappings abstract in this paper we introduce and study a new completely general class of variational inclusions with noncompact valued mappings and construct some new iterative algorithms we prove the existence of solutions for the completely general class of variational inclusions and the convergence of iterative sequences generated by the algorithms

a new class of generalized set valued implicit variational inclusions in banach spaces with an application in this paper we introduce and study a new class of generalized set valued implicit variational inclusions in real banach spaces by using nadler s theorem and the resolvent operator technique for m accretive mapping in real banach spaces we construct some new iterative algorithms for solving this class of generalized set valued implicit variational inclusions we prove the existence of solution for this kind of generalized set valued implicit variational inclusions without compactness and the convergence of iterative sequences generated by the algorithms in banach spaces we also give an application to generalized set valued implicit variational inequalities in real hilbert spaces

perturbed proximal point algorithms for general quasi variational like inclusions in this paper we introduce two new concepts of subdifferential and proximal mappings of proper functionals on hilbert spaces the existence and lipschitz continuity of proximal mapping of a proper functional are proved by applying these concepts we introduce and study a class of general quasi variational like inclusions and develop some new perturbed proximal point algorithms of mann and ishikawa type for finding the approximate solutions of the general quasi variational like inclusions the convergence criteria of the sequences of approximate solutions generated by these new algorithms are also discussed our algorithms and results improve and generalize many known results in the literature

generalized mixed quasivariational inclusions and generalized mixed resolvent equations for fuzzy mappings in this paper we introduce the concept of generalized mixed quasivariational inclusions and generalized mixed resolvent equations for fuzzy mappings by using the resolvent operator technique for maximal monotone mapping we obtain that the generalized mixed quasivariational inclusions for fuzzy mappings are equivalent to the fuzzy fixed point problems and the generalized mixed resolvent equations for fuzzy mappings respectively we suggest a number of iterative algorithms establish the existence results of solutions for the generalized mixed quasivariational inclusions for fuzzy mappings and prove the convergence of the algorithms the results presented in this paper are improvements of previously known results

a perturbed algorithm of variational inclusions for fuzzy mappings in this paper we introduce a class of variational inclusions for fuzzy mappings and show its equivalence with a class of fixed point problems using this equivalence we develop the perturbed iterative algorithms for this class of variational inclusions further we prove the existence of solutions for the class of variational inclusions and discuss the convergence criteria for the perturbed algorithms

a stochastic index flow model of flow duration curves 1 annual flow duration curves afdcs are used increasingly because unlike traditional period of record flow duration curves fdcs they provide confidence intervals for the median afdc they enable one to assign return periods to individual afdcs and they offer opportunities for developing a generalized stochastic model of daily streamflow previous stochastic models of fdcs and afdcs were unable to reproduce the variance of afdcs we introduce an index flow approach to modeling the relationship between an fdc and afdcs of daily streamflow series which is able to reproduce the fdc as well as the mean median and variance of the afdcs without resorting to assumptions regarding the seasonal or persistence structure of daily streamflow series our approach offers additional opportunities for the regionalization of flow duration curves and for the generation of time series of daily streamflows at ungauged sites our approach is tested on three river basins in eastern central italy

algorithm of solutions for mixed implicit quasi variational inequalities with fuzzy mappings abstract in this paper by applying the auxiliary variational principle technique some existence theorems of solutions for a class of mixed implicit quasi variational inequalities with fuzzy mappings are proved in hilbert spaces a novel and innovative iterative algorithm to compute approximate solutions is suggested and analyzed the convergence criteria is also given as special cases of these results the open problem put forward by noor is answered positively our results are new and generalize a number of known results to mixed implicity quasi variational inequalities with fuzzy mappings

asymptotic induced domain decomposition methods for kinetic and drift diffusion semiconductor equations this paper deals with domain decomposition methods for kinetic and drift diffusion semiconductor equations in particular accurate coupling conditions at the interface between the kinetic and drift diffusion domain are given the cases of slight and strong nonequilibrium situations at the interface are considered and numerical examples are shown

completely generalized strongly quasivariational inequalities for fuzzy mappings abstract in this paper we prove an existence theorem of solutions and develop the algorithms of approximating solutions for a completely generalized strongly variational inequality problem for fuzzy mappings and a completely generalized strongly complementarity problem for fuzzy mappings by using the projection method

generalized strongly quasivariational inequalities for fuzzy mappings abstract in this paper we prove an existence theorem of solutions and develop the algorithms of approximating solutions for a generalized strongly variational inequality for fuzzy mappings and a generalized strongly complementaryty problemsfor fuzzy mappings by using the projection method

fuzzy nonlinear set valued variational inclusions the purpose of this paper is to study a new class of fuzzy nonlinear set valued variational inclusions in real banach spaces by using the fuzzy resolvent operator techniques for m accretive mappings we establish the equivalence between fuzzy nonlinear set valued variational inclusions and fuzzy resolvent operator equation problem applying this equivalence and nadler s theorem we suggest some iterative algorithms for solving fuzzy nonlinear set valued variational inclusions in real banach spaces by using the inequality of petryshyn the existence of solutions for these kinds of fuzzy nonlinear set valued variational inclusions without compactness is proved and convergence criteria of iterative sequences generated by the algorithm are also discussed

an asymptotic preserving stochastic galerkin method for the radiative heat transfer equations with random inputs and diffusive scalings abstract in this paper we develop an asymptotic preserving ap stochastic galerkin scheme for the radiative heat transfer equations with random inputs and diffusive scalings in this problem the random inputs arise due to uncertainties in cross section initial data or boundary data we use the generalized polynomial chaos based stochastic galerkin gpc sg method which is combined with the micro macro decomposition based deterministic ap framework in order to handle efficiently the diffusive regime for linearized problem we prove the regularity of the solution in the random space and consequently the spectral accuracy of the gpc sg method we also prove the uniform in the mean free path linear stability for the space time discretizations several numerical tests are presented to show the efficiency and accuracy of proposed scheme especially in the diffusive regime

convergence and stability of perturbed three step iterative algorithm for completely generalized nonlinear quasivariational inequalities in this paper we introduce a new class of completely generalized nonlinear quasivariational inequalities and obtain its equivalence with a class of fixed point problems by using the resolvent operator technique using this equivalence we develop perturbed three step iterative algorithm for this class of completely generalized quasivariational inequalities we establish a few existence theorems of unique solution for the class of completely generalized quasivariational inequalities involving relaxed monotone generalized pseudocontractive and strongly monotone mappings and prove some convergence and stability results of iterative sequence generated by perturbed three step iterative algorithm

multiscaling and skew separation in regional floods matalas et al 1975 msw found that the simulated values of flood peaks in a region using various common forms of flood frequency distributions did not reproduce the empirical skew statistics for 14 different regions covering the conterminous united states specifically the field data always demonstrated a higher value of standard deviation of skew for a given sample value of mean skew than did the simulations msw termed this difference separation and further showed that it could not be explained either by autocorrelation of flood peaks or as a small sample property in this paper we discuss an explanation of this property using the recently developing scaling theories of regional floods it is shown that in a homogeneous region recently defined by us separation would result from the multiscaling structure of flood peaks separation would not occur if floods obey simple scaling nor would separation necessarily occur with heterogeneity or mixing among different homogeneous regions mixing must be of a particular kind in order to cause separation the use of normalized flood frequencies having mean of zero and variance of 1 in the simulations carried out by msw is shown to be consistent with the assumption of index flood or simple scaling but not multiscaling in the 14 megaregions analyzed by msw mixing among subregions within each megaregion may add to the magnitude of separation the separation in 14 regions is physically interpreted based on different physical mechanisms that have been recently hypothesized by us to be responsible for the presence of simple scaling or multiscaling in floods

existence and algorithm of solutions for mixed quasi variational like inclusions in banach spaces in this paper we study a class of mixed quasi variational like inclusion with a bifunction in reflexive banach spaces by applying a minimax inequality due to the first author some existence and uniqueness theorems of solutions for the mixed quasi variational like inclusions are proved next by applying the auxiliary variational inequality technique we suggest an iterative algorithm to compute the approximate solutions of the mixed quasi variational like inclusions the convergence criteria of the algorithm is studied under quite mild conditions our results represent improvement and generalization of the previously known results in literature

estimation of descriptive statistics for multiply censored water quality data this paper extends the work of gilliom and helsel 1986 on procedures for estimating descriptive statistics of water quality data that contain less than observations previously procedures were evaluated when only one detection limit was present here we investigate the performance of estimators for data that have multiple detection limits probability plotting and maximum likelihood methods perform substantially better than simple substitution procedures now commonly in use therefore simple substitution procedures e g substitution of the detection limit should be avoided probability plotting methods are more robust than maximum likelihood methods to misspecification of the parent distribution and their use should be encouraged in the typical situation where the parent distribution is unknown when utilized correctly less than values frequently contain nearly as much information for estimating population moments and quantiles as would the same observations had the detection limit been below them

a perturbed algorithm for variational inclusions a perturbed method for solving a new class of variational inclusions is presented and a convergence result which includes as a special case some known results in this field is given

the auxiliary principle and an algorithm for a system of generalized set valued mixed variational like inequality problems in banach spaces in this paper we introduce and study a new system of generalized set valued mixed variational like inequality problems sgsmvlip and its related auxiliary problems in reflexive banach spaces the auxiliary principle technique is applied to study the existence and an iterative algorithm of solutions for the system of generalized set valued mixed variational like inequality problems at first the existence and uniqueness of solutions of the auxiliary problems for sgsmvlip is shown next an iterative algorithm for solving sgsmvlip is constructed by using the existence and uniqueness result finally we prove the existence of solutions of sgsmvlip and discuss the convergence analysis of the algorithm these results improve unify and generalize many corresponding known results given in the literature

nonconvex fuzzy mappings and the fuzzy pre variational inequality in this paper we introduce the concepts of fuzzy pseudoconvex fuzzy invex fuzzy pseudoinvex and fuzzy preinvex mapping from r n to the set of fuzzy numbers and put forward the concepts of fuzzy extended directional differential subgradient and subdifferential some properties are obtained for fuzzy pseudoconvex fuzzy invex fuzzy pseudoinvex and fuzzy preinvex mapping relations are discussed between the fuzzy pre variational inequality and the fuzzy vector optimization problem

existence and iterative approximation of solutions of generalized mixed quasi variational like inequality problem in banach spaces in this paper some existence theorems for the mixed quasi variational like inequalities problem in a reflexive banach space are established the auxiliary principle technique is used to suggest a novel and innovative iterative algorithm for computing the approximate solution for the mixed quasi variational like inequalities problem consequently not only the existence of theorems of the mixed quasi variational like inequalities is shown but also the convergence of iterative sequences generated by the algorithm is also proven the results proved in this paper represent an improvement of previously known results

using partial probability weighted moments to fit the extreme value distributions to censored samples the estimation of floods of large return periods from lower bound censored samples may often be advantageous because interpolation and extrapolation are made by exploring the trend of larger floods in each of the records the method of partial probability weighted moments partial pwms is an useful technique for fitting distributions to censored samples in this paper partial pwms are redefined along with a brief discussion on the definition of ordinary pwms the expression for partial pwms is derived for the extreme value type i or gumbel distribution combined with those for the extreme value type ii and iii distributions an unified expression for partial pwms is presented for the generalized extreme value gev distribution the equations for solving the distribution parameters are provided monte carlo simulation shows that lower bound censoring at a moderate level does not unduly reduce the efficiency of high quantile estimation even if the samples have come from a true gev distribution

iterative algorithm for completely generalized set valued strongly nonlinear mixed variational like inequalities a class of completely generalized set valued strongly nonlinear mixed variational likeinequalities is introduced the auxiliary principle technique is extended to study this new class of mixed variational like inequalities the existence of a solution of the auxiliary problem for this new class of mixed variational like inequalities is shown the iterative algorithm for this new class of mixed variational like inequalities is given by virtue of this existence result moreover the existence of a solution of this new class of mixed variational like inequalities and the strong convergence of iterative sequences generated by the algorithm are shown the convergence criteria are different from some early and recent ones presented in the literature

probability plot goodness of fit and skewness estimation procedures for the pearson type 3 distribution uniform flood frequency guidelines in the united states currently recommend fitting a pearson p3 distribution to the logarithms of annual maximum flood flows as a result a plethora of procedures have been recommended for obtaining unbiased plotting positions and unbiased estimates of the skew coefficient and for inverting the cumulative distribution function of a p3 variate these developments are precisely the ingredients required for the construction of p3 probability plots using monte carlo simulation we develop a probability plot correlation coefficient ppcc hypothesis test for the p3 distribution power studies are performed to evaluate the ability of the test to discriminate among competing distributional alternatives and to enhance our understanding of why the p3 distribution often appears to provide such a good fit to observed flood flow data a new estimator of the skew coefficient is presented which unlike the biased and unbiased moment estimators is unbounded and has significantly lower root mean square error than the moment estimators for highly skewed samples

on random variational inclusions with random fuzzy mappings and random relaxed cocoercive mappings in this paper we introduce and study the random variational inclusions with random fuzzy and random relaxed cocoercive mappings we define an iterative algorithm for finding the approximate solutions of this class of variational inclusions and establish the convergence of iterative sequences generated by proposed algorithm our results improve and generalize many known corresponding results

moment methods for the semiconductor boltzmann equation on bounded position domains galerkin methods for the semiconductor boltzmann equation based on moment expansions for a discretization in the velocity direction are studied for the moment equations boundary conditions are proposed which are analogues to inflow and respectively reflecting boundary conditions for the boltzmann equation stability and an error estimate are proved for an expansion in terms of hermite polynomials finally an adaptive numerical implementation is introduced and results of numerical experiments are presented

fuzzy quasivariational inclusions in banach spaces the purpose of this paper is to introduce the concept of general fuzzy quasi variational inclusions and to study the existence problem and iterative approximation problem of solutions for some kinds of fuzzy quasivariational inclusions in banach spaces by using the resolvent operator technique nadler s fixed point theorem and new analytic technique some existence theorems of solutions and iterative approximation for solving this kind of fuzzy quasivariational inclusions are established the results presented in this paper are new which generalize improve and unify a number of recent results

generalized convex fuzzy mappings and fuzzy variational like inequality in this paper we introduce the concepts of some generalized convex fuzzy mappings from r n to the set of fuzzy numbers under the condition of upper or lower semicontinuity a new criterion be obtained for the existence of a fuzzy preinvex mapping a fuzzy preinvex mapping can be achieved when the invex subset of r n satisfies certain conditions the relations between generalized convex fuzzy mappings are discussed and some properties are obtained that relate the concepts of fuzzy pseudoinvex and fuzzy prequasiinvex mapping fuzzy invex and fuzzy preinvex mapping fuzzy preinvex and fuzzy prequasiinvex mapping we also discuss the relationship between the fuzzy variational like inequality the fuzzy weak variational like inequality and fuzzy optimization problems and an application example of a fuzzy variational like inequality the fuzzy variational like inequality representation of a fuzzy transportation equilibrium problem

sensitivity analysis for parametric completely generalized nonlinear implicit quasivariational inclusions in this paper we introduce a new class of parametric completely generalized nonlinear implicit quasivariational inclusions and study the behavior and sensitivity analysis of the solution set of the parametric completely generalized nonlinear implicit quasivariational inclusion dealing with multivalued and single valued nonlinear mappings in hilbert spaces our results extend improve and unify the previously many known results in this area

lh moments for statistical analysis of extreme events statistical analysis of extremes is often conducted for predicting large return period events in this paper lh moments a generalization of l moments that are based on linear combinations of higher order statistics are introduced for characterizing the upper part of distributions and larger events in data using lh moments reduces undesirable influences that small sample events may have on the estimation of large return period events the method of lh moments is formulated for the generalized extreme value gev distribution along with two detailed examples monte carlo simulations are conducted to illustrate the performance of using the method of lh moments to fit the gev distribution to both gev and non gev samples lh moment diagrams are constructed using annual maximum flow data for 107 streams worldwide to examine the ability of the gev distribution to model those series

existence and iterative approximations of solutions for mixed quasi variational like inequalities in banach spaces abstract in this paper we introduce and investigate a new class of mixed quasi variational like inequalities in reflexive banach spaces by applying a minimax inequality due to ding tan and a lemma due to chang we establish some existence and uniqueness results of solution for the mixed quasi variational like inequality next by using a kkm theorem due to fan and an auxiliary principle technique due to cohen we suggest two iterative algorithms and study the convergence criteria of iterative sequences generated by the iterative algorithms our results extend improve and unify several known results in the literature

abstract variational inequality problems and a basic theorem of complementarity abstract in this paper a basic theorem of complementarity is established for an abstract variational inequality problem in particular we obtain a basic theorem of complementarity for a class of generalized variational inequality problems studied by parida and sen 1 we also obtain some sufficient conditions for the existence of a solution of this class of problems

hierarchical boltzmann simulations and model error estimation abstract a hierarchical simulation approach for boltzmann s equation should provide a single numerical framework in which a coarse representation can be used to compute gas flows as accurately and efficiently as in computational fluid dynamics but a subsequent refinement allows to successively improve the result to the complete boltzmann result we use hermite discretization or moment equations for the steady linearized boltzmann equation for a proof of concept of such a framework all representations of the hierarchy are rotationally invariant and the numerical method is formulated on fully unstructured triangular and quadrilateral meshes using a implicit discontinuous galerkin formulation we demonstrate the performance of the numerical method on model problems which in particular highlights the relevance of stability of boundary conditions on curved domains the hierarchical nature of the method allows also to provide model error estimates by comparing subsequent representations we present various model errors for a flow through a curved channel with obstacles

l moment diagrams should replace product moment diagrams it is well known that product moment ratio estimators of the coefficient of variation c skewness and kurtosis exhibit substantial bias and variance for the small n 100 samples normally encountered in hydrologic applications consequently l moment ratio estimators termed l coefficient of variation 2 l skewness 3 and l kurtosis 4 are now advocated because they are nearly unbiased for all underlying distributions the advantages of l moment ratio estimators over product moment ratio estimators are not limited to small samples monte carlo experiments reveal that product moment estimators of c and are also remarkably biased for extremely large samples n 1000 from highly skewed distributions a case study using large samples n 5000 of average daily streamflow in massachusetts reveals that conventional moment diagrams based on estimates of product moments c and reveal almost no information about the distributional properties of daily streamflow whereas l moment diagrams based on estimators of 2 3 and 4 enabled us to discriminate among alternate distributional hypotheses

approximate goodness of fit tests of fitted generalized extreme value distributions using lh moments approximate goodness of fit tests of fitted generalized extreme value gev distributions using lh moments are formulated on the basis of comparison of sample lh kurtosis estimates and theoretical lh kurtosis values of the fitted distributions these tests are different from those that have been derived for testing the gev distributions of which parameter values are known a priori the tests are intended to answer the following questions does a fitted gev distribution describe adequately a given data series if not can the gev distribution function describe adequately the larger events in that data series for use for high quantile estimation if so what degree of emphasis on the larger events is needed in order that the gev distribution becomes acceptable the use of the gev distribution in conjunction with the lh moment estimation method and the formulated tests should alleviate the need for finding the correct distribution the tests are evaluated by monte carlo simulations using generated samples of both gev and wakeby distributions applications of the tests to observed annual maximum streamflow data are presented

on sufficiency of the kuhn tucker conditions if all the functions fo x f x f x are convex on c then these conditions are also sufficient various classes of functions have been defined for the purpose of weakening this limitation of convexity in mathematical programming mangasarian 11 has speculated that pseudo convexity of x and quasiconvexity off x are the weakest conditions that can be imposed so that the above conditions are sufficient for optimality it will be shown that there are other wide classes of functions for which the conditions are sufficient 545

variational inequalities for fuzzy mappings ii in this paper we establish the equivalence between the variational inequalities for fuzzy mappings and the wiener hopf equations for fuzzy mappings we use this equivalence to suggest a number of new iterative algorithms for solving the variational inequalities for fuzzy mappings we also study the convergence criteria of these iterative algorithms the auxiliary principle technique is used to study the existence of a solution of the variational inequality for fuzzy mappings and to suggest a novel and innovative iterative algorithm for computing the approximate solution the results proved in this paper represent an improvement of previously known results

a mixed spectral difference method for the steady state boltzmann poisson system the approximate solution of the boltzmann transport equation via galerkin type series expansion methods leads to a system of conservation laws in space and time for the expansion coefficients in this paper we derive discretization methods for these equations in the mean field approximation which are based on the entropy principles of the underlying boltzmann equation and discuss the performance of these discretizations and the series expansion approach in nonequilibrium regimes

on chidume s open questions and approximate solutions of multivalued strongly accretive mapping equations in banach spaces abstract some new convergence theorems of the ishikawa iteration process for multi valued pseudo contractive mappings and multi valued accretive mappings are obtained which affirmatively answer the open questions put forth by 4

moment closure hierarchies for kinetic theories this paper presents a systematicnonperturbative derivation of a hierarchy of closed systems of moment equations corresponding to any classical kinetic theory the first member of the hierarchy is the euler system which is based on maxwellian velocity distributions while the second member is based on nonisotropic gaussian velocity distributions the closure proceeds in two steps the first ensures that every member of the hierarchy is hyperbolic has an entropy and formally recovers the euler limit the second involves modifying the collisional terms so that members of the hierarchy beyound the second also recover the correct navier stokes behavior this is achieved through the introduction of a generalization of the bgk collision operator the simplest such system in three spatial dimensions is a 14 moment closure which also recovers the behavior of the grad 13 moment system when the velocity distributions lie near local maxwellians the closure procedure can be applied to a general class of kinetic theories

generalized extreme value distribution fitted by lh moments for low flow frequency analysis 1 this study introduces a method based on lh moments to use the generalized extreme value gev distribution for low flow frequency analysis and investigates the capability of the gev distribution fitted by lh moments to effectively model the lower tail of the low flow frequency curve without explicitly censoring the data sample the performance of the gev l moment the gev distribution fitted by l moments and gev lh moment the gev distribution fitted by lh moments methods are assessed by evaluating the bias mean square error and relative accuracy of quantile estimates through monte carlo simulations it is shown that when both frequent low flows and extreme low flows can be adequately described by an assumed parent distribution both gev l2 moment and gev l moment methods make equally accurate quantile estimates however when frequent low flows and extreme low flows do not follow a single trend the bias of the gev l2 moment estimator is negligible while the bias of the gev l moment estimator is significant at large annual recurrence intervals on average the gev l2 moment quantile estimator displays less bias than the gev l moment quantile estimator furthermore as the annual recurrence interval increases the relative accuracy of the gev l2 moment method consistently improves over the gev l moment method the gev lh moment method is thus considered to be the more suitable method to model low flows

a new class of generalized nonlinear implicit quasivariational inclusions with fuzzy mappings in this paper we introduce and study a new class of generalized nonlinear implicit quasivariational inclusions with fuzzy mappings an existence theorem of solutions is proved without compactness assumptions a new iterative algorithm is suggested and analysed the convergence of iterative sequences generated by the new algorithm are also given as special cases some known results are also discussed

a numerical method for kinetic semiconductor equations in the drift diffusion limit an asymptotic induced scheme for kinetic semiconductor equations with the diffusion scaling is developed the scheme is based on the asymptotic analysis of the kinetic semiconductor equation it works uniformly for all ranges of mean free paths the velocity discretization is done using quadrature points equivalent to a moment expansion method numerical results for different physical situations are presented

l moment diagrams for censored observations observed data sets containing values above or below the analytical threshold of measuring equipment are referred to as censored such data are frequently encountered in quality and quantity monitoring applications of water soil and air samples most of the previous literature on the statistical analysis of censored data relates to the problems of moment parameter and quantile estimation methods such estimation methods usually assume an underlying probability distribution few goodness of fit methods exist for censored data we introduce l moment diagrams for the evaluation of the goodness of fit of alternative distributional hypotheses for left censored data experiments with artificial censored data sets document the conditions under which l moment diagrams should be useful our approach like hosking s 1995 approach for right censoring derived l moment diagrams for left censored observations from partial probability weighted moments

iterative algorithm for generalized quasi variational like inclusions with fuzzy mappings in banach spaces in this paper we introduce and study a class of generalized quasi variational like inclusions with fuzzy mappings in real banach spaces and show its equivalence with a class of relations using this equivalence we suggest and analyze an iterative algorithm for finding the approximate solution of this class of inclusions further we prove the existence of solution of this class of inclusions and discuss the convergence criteria of iterative sequences generated by the iterative algorithm

a bivariate extension of the hosking and wallis goodness of fit measure for regional distributions this study presents a bivariate extension of the goodness of fit measure for regional frequency distributions developed by hosking and wallis 1993 for use with the method of l moments utilising the approximate joint normal distribution of the regional l skewness and l kurtosis a graphical representation of the confidence region on the l moment diagram can be constructed as an ellipsoid candidate distributions can then be accepted where the corresponding theoretical relationship between the l skewness and l kurtosis intersects the confidence region and the chosen distribution would be the one that minimises the mahalanobis distance measure based on a set of monte carlo simulations it is demonstrated that the new bivariate measure generally selects the true population distribution more frequently than the original method results are presented to show that the new measure remains robust when applied to regions where the level of inter site correlation is at a level found in real world regions finally the method is applied to two different case studies involving annual maximum peak flow data from italian and british catchments to identify suitable regional frequency distributions

moment closure approximations of the boltzmann equation based on varphi divergences this paper is concerned with approximations of the boltzmann equation based on the method of moments we propose a generalization of the setting of the moment closure problem from relative entropy to varphi divergences and a corresponding closure procedure based on minimization of varphi divergences the proposed description encapsulates as special cases grad s classical closure based on expansion in hermite polynomials and levermore s entropy based closure we establish that the generalization to divergence based closures enables the construction of extended thermodynamic theories that avoid essential limitations of the standard moment closure formulations such as inadmissibility of the approximate phase space distribution potential loss of hyperbolicity and singularity of flux functions at local equilibrium the divergence based closure leads to a hierarchy of tractable symmetric hyperbolic systems that retain the fundamental structural properties of the boltzmann equation

convergence of moment methods for linear kinetic equations numerical methods for linear kinetic equations based on moment expansions for a discretization in the velocity direction are examined the moment equations are hyperbolic systems which can be shown to converge to the kinetic equation as the order of the expansion tends to infinity and to a drift diffusion model as the knudsen number tends to zero a discretization of the moment equations with respect to time and space is presented a stability result is proven and some aspects of an implementation are discussed in particular an adaptive procedure is described where the order of the expansion is determined locally results of numerical experiments are presented

estimation of moments and quantiles using censored data censored data sets are often encountered in water quality investigations and streamflow analyses a monte carlo analysis examined the performance of three techniques for estimating the moments and quantiles of a distribution using censored data sets these techniques include a lognormal maximum likelihood estimator mle a log probability plot regression estimator and a new log partial probability weighted moment estimator data sets were generated from a number of distributions commonly used to describe water quality and water quantity variables a robust fill in method which circumvents transformation bias in the real space moments was implemented with all three estimation techniques to obtain a complete sample for computation of the sample mean and standard deviation regardless of the underlying distribution the mle generally performed as well as or better than the other estimators though the moment and quantile estimators using all three techniques had comparable log space root mean square errors rmse for censoring at or below the 20th percentile for samples sizes of n 10 the 40th percentile for n 25 and the 60th percentile for n 50 comparison of the log space rmse and real space rmse indicated that a log space rmse was a better overall metric of estimator precision

the generalized quasi variational inequality problem with applications a new problem called the generalized quasi variational inequality problem is introduced this new problem extends all the existing variational inequality problems in finite dimensional spaces and enlarges the class of problems that can be approached by the variational inequality theory some existence results without convexity assumptions are presented applications to mathematical and equilibrium programming are given

the relationship between monte carlo estimators of heterogeneity and error for daily to monthly time steps in a small minnesota precipitation gauge network precipitation quantile estimates are used in engineering agriculture and a variety of other disciplines index flood regional frequency methods pool normalized gauge data in the case of homogeneity among the constituent gauges of the region unitless regional quantile estimates are outputted and rescaled at each gauge because violation of the homogeneity hypothesis is a major component of quantile estimation error in regional frequency analysis heterogeneity estimators should be reasonable proxies of the error of quantile estimation in this study three monte carlo heterogeneity statistics tested in hosking and wallis 1997 are plotted against monte carlo estimates of quantile error for all five or more gauge regionalizations in a 12 gauge network in the twin cities region of minnesota upper tail quantiles with nonexceedance probabilities of 0 75 and above are examined at time steps ranging from daily to monthly a linear relationship between heterogeneity and error estimates is found and quantified using pearson s r score two of hosking and wallis s 1997 heterogeneity measures incorporating the coefficient of variation in one case and additionally the skewness in the other are found to be reasonable proxies for quantile error at the l moment ratio values characterizing these data this result in addition to confirming the utility of a commonly used coefficient of variation based heterogeneity statistic provides evidence for the utility of a heterogeneity measure that incorporates skewness information

general algorithm of solutions for nonlinear variational inequalities in banach space abstract in this paper we shall study a class of general nonlinear variational inequalities in reflexive banach spaces by applying a minimax inequality obtained by the author some existence uniqueness theorems of solutions for the general nonlinear variational inequalities are proved next by applying the auxiliary problem technique we suggest an innovative iterative algorithm to compute the approximate solutions of the general nonlinear variational inequality finally the convergence criteria is also discussed

l moment and probability plot correlation coefficient goodness of fit tests for the gumbel distribution and impact of autocorrelation this paper analyzes the power of two l moment and the probability plot correlation coefficient ppcc goodness of fit tests for the gumbel distribution and the impact of autocorrelation the two l moment tests are the kappa test suggested by hosking et al 1985 using biased pwm estimators and the l cs test suggested by chowdhury et al 1991 using unbiased pwm estimators the generalized extreme value gev distribution with various values of the shape parameter was used as the parent distribution results show that the l moment based tests outperform the ppcc test for independent data or data with small autocorrelations 0 4 for high autocorrelation 0 8 all tests are invalid because the type 1 error probability is larger than the target value an example demonstrates consistency problems with scale and shape parameters estimated using the biased pwm estimators these cause us to advise against their use and to recommend instead unbiased pwm estimators that employ a sample s order statistics overall this paper provides another endorsement of the use of unbiased l moment estimators for goodness of fit tests and distribution selection as well as a recommendation for parameter estimation

solving variational inequalities in a fuzzy environment this paper deals with the variational inequalities in a fuzzy environment it shows that solving the fuzzy variational inequalities is equivalent to solving a fuzzy generalized complementarity problem by using the tolerance approach we show that the fuzzy generalized complementarity problem can be converted to a regular unconstrained nonlinear programming problem an entropic regularization technique is then applied to solve the resulting optimization problem some computational results are included

generalized quasi variational inequalities in locally convex topological vector spaces abstract let e be a hausdorff topological vector space and x e an arbitrary nonempty set denote by e the dual space of e and the pairing between e and e by w x for w e and x e given a point to set map s x 2x and a point to set map t x 2e the generalized quasi variational inequality problem gqvi is to find a point y s y and a point u t y such that re u y x 0 for all x s y by using the ky fan minimax principle or its generalized version as a tool some general theorems on solutions of the gqvi in locally convex hausdorff topological vector spaces are obtained which include a fixed point theorem due to ky fan and i l glicksberg and two different multivalued versions of the hartman stampacchia variational inequality

iterative algorithm for finding approximate solutions to completely generalized strongly quasivariational inequalities for fuzzy mappings in this paper we construct a new iterative algorithm which includes many known algorithms as special cases to solve variational inequalities and quasivariational inequalities for fuzzy mappings further we prove the convergence of the iterative sequences generated by this algorithm our results are the extension and improvements of the earlier and recent results in this field

a hierarchy of diffusive higher order moment equations for semiconductors a hierarchy of diffusive partial differential equations is derived by a moment method and a chapman enskog expansion from the semiconductor boltzmann equation assuming dominant collisions the moment equations are closed by employing the entropy maximization principle of levermore the new hierarchy contains the well known drift diffusion model the energy transport equations and the six moments model of grasser et al it is shown that the diffusive models are of parabolic type two different formulations of the models are derived a drift diffusion formulation allowing for a numerical decoupling and a symmetric formulation in generalized dual entropy variables inspired by nonequilibrium thermodynamics an entropy inequality or h theorem follows from the latter formulation