yusuke1997/dblp-id-title huggingface dataset:
Convergence Theory for Two-Level Hybrid Schwarz Preconditioners for High-Frequency Helmholtz Problems
On Really Locking-Free Mixed Finite Element Methods for the Transient Incompressible Stokes Equations
Adaptive Multiprecision Path Tracking
Analysis of a Darcy-Cahn-Hilliard Diffuse Interface Model for the Hele-Shaw Flow and Its Fully Discrete Finite Element Approximation
A Globally and Superlinearly Convergent Gauss-Newton-Based BFGS Method for Symmetric Nonlinear Equations
Adaptive Edge Element Approximation for H(curl) Elliptic Variational Inequalities of Second Kind
On the Convergence of Adaptive Nonconforming Finite Element Methods for a Class of Convex Variational Problems
Finite Element Error Estimates for a Nonlocal Problem in American Option Valuation
Anderson Acceleration for Nonsmooth Fixed Point Problems
Conforming Finite Element DIVDIV Complexes and the Application for the Linearized Einstein-Bianchi System
Schemes with Well-Controlled Dissipation
Crank-Nicolson Schemes for Optimal Control Problems with Evolution Equations
A Hybridizable Discontinuous Galerkin Method for the Helmholtz Equation with High Wave Number
Carleman-Based Reconstruction Algorithm for Waves
Ultraspherical Stieltjes Polynomials and Gauss-Kronrod Quadrature Behave Nicely for Lambda< 0
L 2 Error Estimates for a Class of Any Order Finite Volume Schemes Over Quadrilateral Meshes
Mixed hp -DGFEM for Incompressible Flows
Approximating Linear Response by Nonintrusive Shadowing Algorithms
Unified Stabilized Finite Element Formulations for the Stokes and the Darcy Problems
High-order Time Stepping Schemes for Semilinear Subdiffusion Equations
The Discontinuous Galerkin Approximation of the Grad-Div and Curl-Curl Operators in First-Order Form Is Involution-Preserving and Spectrally Correct
Affine Approximation of Parametrized Kernels and Model Order Reduction for Nonlocal and Fractional Laplace Models
A General Framework of Low Regularity Integrators
A Reynolds-SemiRobust Method with Hybrid Velocity and Pressure for the Unsteady Incompressible Navier-Stokes Equations
Mathematical and Numerical Study of Transient Wave Scattering by Obstacles with a New Class of Arlequin Coupling
Radial Complex Scaling for Anisotropic Scalar Resonance Problems
Fast Semi-Lagrangian Schemes for the Eikonal Equation and Applications
Numerical Integration of Functions of a Rapidly Rotating Phase
Convergence of Hardy Space Infinite Elements for Helmholtz Scattering and Resonance Problems
A Posteriori Error Analysis of the inf-sup Constant for the Divergence
Error Analysis of Proper Orthogonal Decomposition Stabilized Methods for Incompressible Flows
Direct and Inverse Approximation Theorems for the p-Version of the Finite Element Method in the Framework of Weighted Besov Spaces. Part I: Approximability of Functions in the Weighted Besov Spaces
Discontinuous Galerkin Methods for Anisotropic Semidefinite Diffusion with Advection
Cell Size Error in Stochastic Particle Methods for Coagulation Equations with Advection
Stability and Error Analysis of IMEX SAV Schemes for the Magneto-Hydrodynamic Equations
Pointwise a Posteriori Error Bounds for Blow-Up in the Semilinear Heat Equation
Variance of Finite Difference Methods for Reaction Networks with Non-Lipschitz Rate Functions
Y -Scale Regularization
Adaptive Vertex-Centered Finite Volume Methods with Convergence Rates
Finite Volume Maximum Principle for Hyperbolic Scalar Problems
Analysis of a Quadratic Programming Decomposition Algorithm
Combined DG-CG Time Stepping for Wave Equations
Analysis of an Asymptotic Preserving Scheme for Linear Kinetic Equations in the Diffusion Limit
Duality-Based Error Control for the Signorini Problem
Adaptive Finite Element Approximations for Elliptic Problems using Regularized Forcing Data
Superlinear Convergence of Conjugate Gradients
A Fully Computable A Posteriori Error Estimate for the Stokes Equations on Polytopal Meshes
Numerical Simulation of Some Variational Inequalities Arisen from Unilateral Contact Problems by the Finite Element Methods
A Posteriori Error Estimation Based on Potential and Flux Reconstruction for the Heat Equation
Convergence Framework for the Second Boundary Value Problem for the Monge-Ampère Equation
A Defect-Deferred Correction Method for Fluid-Fluid Interaction
An Age-Structured Population Model with State-Dependent Delay: Derivation and Numerical Integration
The L 2 Norm Error Estimates for the Div Least-Squares Method
A Quantitative Description of Mesh Dependence for the Discretization of Singularly Perturbed Nonconvex Problems
Convergence of Petviashvili's Iteration Method for Numerical Approximation of Stationary Solutions of Nonlinear Wave Equations
An Adaptive Finite Element Method for the Diffraction Grating Problem with Transparent Boundary Condition
Convergence of the Lagrange-Galerkin Method for the Equations Modelling the Motion of a Fluid-Rigid System
Boundary-Value Problems of Functional Differential Equations with State-Dependent Delays
A Fourth-Order Unfitted Characteristic Finite Element Method for Solving the Advection-Diffusion Equation on Time-Varying Domains
A Quasi-nonlocal Coupling Method for Nonlocal and Local Diffusion Models
Analysis of a Coupled Fluid-Structure Model with Applications to Hemodynamics
Exponential Convergence of Perfectly Matched Layers for Scattering Problems with Periodic Surfaces
Discontinuous Galerkin Finite Element Approximation of Nonlinear Non-Fickian Diffusion in Viscoelastic Polymers
Observable Error Bounds of the Time-Splitting Scheme for Quantum-Classical Molecular Dynamics
Natural Superconvergence Points in Three-Dimensional Finite Elements
Reliable Computation of the Zeros of Solutions of Second Order Linear ODEs Using a Fourth Order Method
Runge-Kutta Methods for the Strong Approximation of Solutions of Stochastic Differential Equations
Asymptotic-Preserving and Energy Stable Dynamical Low-Rank Approximation
Uniform-in-Time Error Estimates for the Postprocessing Galerkin Method Applied to a Data Assimilation Algorithm
Ultra-Weak Least Squares Discretizations for Unique Continuation and Cauchy Problems
High Order Biorthogonal Functions in \({H}\)(curl)
Well-Posedness, Regularity, and Convergence Analysis of the Finite Element Approximation of a Generalized Robin Boundary Value Problem
Performing Interpolation and Anterpolation Entirely by Fast Fourier Transform in the 3-D Multilevel Fast Multipole Algorithm
A Class of Intrinsic Schemes for Orthogonal Integration
New Time Domain Decomposition Methods for Parabolic Optimal Control Problems II: Neumann-Neumann Algorithms
A Higher Degree Immersed Finite Element Method Based on a Cauchy Extension for Elliptic Interface Problems
An Error Analysis of a Finite Element Method with IMEX-Time Semidiscretizations for Some Partial Integro-differential Inequalities Arising in the Pricing of American Options
PML and High-Accuracy Boundary Integral Equation Solver for Wave Scattering by a Locally Defected Periodic Surface
Space Localization and Well-Balanced Schemes for Discrete Kinetic Models in Diffusive Regimes
Immersed-Interface Finite-Element Methods for Elliptic Interface Problems with Nonhomogeneous Jump Conditions
On Stability, Accuracy, and Fast Solvers for Finite Element Approximations of the Axisymmetric Stokes Problem by Hood-Taylor Elements
Finite Element Discretization of the Steady, Generalized Navier-Stokes Equations with Inhomogeneous Dirichlet Boundary Conditions
Uniformly Convergent Interior Penalty Methods Using Multilinear Approximations for Problems in Elasticity
Analysis of a High-Order Trace Finite Element Method for PDEs on Level Set Surfaces
Sharp Wavenumber-Explicit Stability Bounds for 2D Helmholtz Equations
A Convergent Adaptive Method for Elliptic Eigenvalue Problems
An Efficient Second-Order Finite Difference Method for the One-Dimensional Schrödinger Equation with Absorbing Boundary Conditions
A Second-Order, Global-in-Time Energy Stable Implicit-Explicit Runge-Kutta Scheme for the Phase Field Crystal Equation
A Method to Calculate Numerical Errors Using Adjoint Error Estimation for Linear Advection
A Convergent Finite Volume Scheme for Diffusion on Evolving Surfaces
Finite Element Approximations of Wave Maps into Spheres
A Posteriori Error Estimates for Lowest-Order Mixed Finite Element Discretizations of Convection-Diffusion-Reaction Equations
Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen-Cahn Equation
A Dual Finite Element Method for a Singularly Perturbed Reaction-Diffusion Problem
On Least-Squares Finite Element Methods for the Poisson Equation and Their Connection to the Dirichlet and Kelvin Principles
On Noncoercive Variational Inequalities
A Family of Finite Element Stokes Complexes in Three Dimensions
A Laguerre-Legendre Spectral Method for the Stokes Problem in a Semi-Infinite Channel
Shape Design in Aorto-Coronaric Bypass Anastomoses Using Perturbation Theory
Entropy Stable Finite Volume Scheme for Ideal Compressible MHD on 2-D Cartesian Meshes
Quasi-Monte Carlo Integration for Affine-Parametric, Elliptic PDEs: Local Supports and Product Weights
An Ensemble Algorithm for Numerical Solutions to Deterministic and Random Parabolic PDEs
Convergence of Time-Stepping Schemes for Passive and Extended Linear Complementarity Systems
Convergence of Optimal Prediction for Nonlinear Hamiltonian Systems
A High Order Accurate Bound-Preserving Compact Finite Difference Scheme for Scalar Convection Diffusion Equations
Pointwise Best Approximation Results for Galerkin Finite Element Solutions of Parabolic Problems
A Probabilistic Scheme for Semilinear Nonlocal Diffusion Equations with Volume Constraints
Continuous Interior Penalty Finite Element Method for Oseen's Equations
A Discontinuous Galerkin Method for Convection-Dominated Compressible Viscous Navier-Stokes Equations with an Inflow Boundary Condition
Convergence Analysis of Strang Splitting for Vlasov-Type Equations
Convergent Difference Schemes for Degenerate Elliptic and Parabolic Equations: Hamilton-Jacobi Equations and Free Boundary Problems
Convergence of Adaptive Discontinuous Galerkin Approximations of Second-Order Elliptic Problems
Fully Discrete Finite Element Approximations of a Polymer Gel Model
Weak Ill-Posedness of Spatial Discretizations of Absorbing Boundary Conditions for Schrödinger-Type Equations
Preconditioning Legendre Spectral Collocation Methods for Elliptic Problems I: Finite Difference Operators
Adaptive Wavelet Schemes for Parabolic Problems: Sparse Matrices and Numerical Results
Multilevel First-Order System Least Squares for Elliptic Grid Generation
On the Sobolev and L p -Stability of the L 2 -Projection
Error Analysis for Probabilities of Rare Events with Approximate Models
A Study on Regularization for Discrete Inverse Problems with Model-Dependent Noise
Stabilization of High Aspect Ratio Mixed Finite Elements for Incompressible Flow
Error Analysis of the SAV-MAC Scheme for the Navier-Stokes Equations
Galerkin Finite Element Approximations for Stochastic Space-Time Fractional Wave Equations
Error Analysis for a Fractional-Derivative Parabolic Problem on Quasi-Graded Meshes using Barrier Functions
Solving BSDE with Adaptive Control Variate
Rigorous Error Bounds for the Optimal Value in Semidefinite Programming
A Hybrid Phase Flow Method for Solving the Liouville Equation in a Bounded Domain
A Posteriori Error Estimate for a PDE-Constrained Optimization Formulation for the Flow in DFNs
Average Interpolation under the Maximum Angle Condition
Two Finite Element Approximations of Naghdi's Shell Model in Cartesian Coordinates
High-Order BDF Convolution Quadrature for Subdiffusion Models with a Singular Source Term
On Comparing the Writhe of a Smooth Curve to the Writhe of an Inscribed Polygon
A New Discretization for mth-Laplace Equations with Arbitrary Polynomial Degrees
Local A Posteriori Error Estimates for Convex Boundary Control Problems
On a Numerical Liapunov-Schmidt Spectral Method and Its Application to Biological Pattern Formation
Iterative Polynomial Approximation Adapting to Arbitrary Probability Distribution
A Posteriori Error Estimates for the Laplace-Beltrami Operator on Parametric C 2 Surfaces
Convergence Analysis of an Adaptive Interior Penalty Discontinuous Galerkin Method
Convergence Analysis of a Discontinuous Galerkin/Strang Splitting Approximation for the Vlasov-Poisson Equations
Convergence Analysis of Energy Conserving Explicit Local Time-Stepping Methods for the Wave Equation
Fourth Order Accurate Scheme for the Space Fractional Diffusion Equations
Monotone Difference Approximations Of BV Solutions To Degenerate Convection-Diffusion Equations
Analysis and Approximation of Mixed-Dimensional PDEs on 3D-1D Domains Coupled with Lagrange Multipliers
Conservative P 1 Conforming and Nonconforming Galerkin FEMs: Effective Flux Evaluation via a Nonmixed Method Approach
Stability of FD-TD Schemes for Maxwell-Debye and Maxwell-Lorentz Equations
Finite Element Approximation of Electromagnetic Fields Using Nonfitting Meshes for Geophysics
Accurate Stationary Densities with Partitioned Numerical Methods for Stochastic Differential Equations
Convergence analysis of the Generalized Empirical Interpolation Method
Galerkin Methods for Parabolic and Schrödinger Equations with Dynamical Boundary Conditions and Applications to Underwater Acoustics
Analysis of a Local Discontinuous Galerkin Method for Linear Time-Dependent Fourth-Order Problems
Uniform Convergence of a Nonlinear Energy-Based Multilevel Quantization Scheme
Convergence Analysis of a Finite Element Approximation of Minimum Action Methods
Stepsize Conditions for Boundedness in Numerical Initial Value Problems
Two-Derivative Error Inhibiting Schemes and Enhanced Error Inhibiting Schemes
Stability and Convergence of Finite-Element Approximation Schemes for Harmonic Maps
Projection Multilevel Methods for Quasilinear Elliptic Partial Differential Equations: Theoretical Results
A Fast Collocation Method for Solving Stochastic Integral Equations
Local Discontinuous Galerkin Methods for the Stokes System
Robust A Priori and A Posteriori Error Analysis for the Approximation of Allen-Cahn and Ginzburg-Landau Equations Past Topological Changes
Analysis and Approximation of a Fractional Cahn-Hilliard Equation
Inexact Newton Regularization Using Conjugate Gradients as Inner Iteration
Strong Convergence of Euler-Type Methods for Nonlinear Stochastic Differential Equations
The Accuracy of the Fractional Step Method
Asymptotic-Preserving and Positivity-Preserving Implicit-Explicit Schemes for the Stiff BGK Equation
A Symplectic Discontinuous Galerkin Full Discretization for Stochastic Maxwell Equations
Simplex-Averaged Finite Element Methods for H(grad), H(curl), and H(div) Convection-Diffusion Problems
Constrained Spline Smoothing
Twofold Saddle-Point Formulation of Biot Poroelasticity with Stress-Dependent Diffusion
Numerical Analysis for a Macroscopic Model in Micromagnetics
A Discontinuous Galerkin Time-Stepping Scheme for the Velocity Tracking Problem
Analysis of an Upwind-Mixed Hybrid Finite Element Method for Transport Problems
Analysis of Quantization Error in Financial Pricing via Finite Difference Methods
A High Order Method for the Approximation of Integrals Over Implicitly Defined Hypersurfaces
A Convergent Evolving Finite Element Method with Artificial Tangential Motion for Surface Evolution under a Prescribed Velocity Field
Fast Sweeping Methods for Eikonal Equations on Triangular Meshes
Galerkin Methods in Age and Space for a Population Model with Nonlinear Diffusion
Analysis of Expanded Mixed Finite Element Methods for a Nonlinear Parabolic Equation Modeling Flow into Variably Saturated Porous Media
Verified Eigenvalue Evaluation for the Laplacian over Polygonal Domains of Arbitrary Shape
Convergence Analysis of Newton-Schur Method for Symmetric Elliptic Eigenvalue Problem
On the Relationship Between the Pole Condition, Absorbing Boundary Conditions, and Perfectly Matched Layers
A Mapped Polynomial Method for High-Accuracy Approximations on Arbitrary Grids
Multigrid Algorithms for C0 Interior Penalty Methods
Well Posedness of the Initial Value Problem for Vertically Discretized Hydrostatic Equations
Spectral Analysis of a Mixed Method for Linear Elasticity
Multiscale Asymptotic Method for Maxwell's Equations in Composite Materials
A Measure Approximation for Distributionally Robust PDE-Constrained Optimization Problems
Spectral Discretization of a Naghdi Shell Model
Convergence Rate Analysis of a Multiplicative Schwarz Method for Variational Inequalities
On the Convergence of the Escalator Boxcar Train
Coherent Interferometry Algorithms for Photoacoustic Imaging
Time Discretization of a Tempered Fractional Feynman-Kac Equation with Measure Data
A Multirate Discontinuous-Galerkin-in-Time Framework for Interface-Coupled Problems
A Superconvergent Ensemble HDG Method for Parameterized Convection Diffusion Equations
Convergence Analysis of Meshfree Approximation Schemes
Numerical Approximation of Discontinuous Solutions of the Semilinear Wave Equation
Compactness Properties of the DG and CG Time Stepping Schemes for Parabolic Equations
Optimal Rate of Convergence for Approximations of SPDEs with Nonregular Drift
A Sparse Spectral Method for Volterra Integral Equations Using Orthogonal Polynomials on the Triangle
Mixed Covolume Methods for Quasi-Linear Second-Order Elliptic Problems
Computing Sacker-Sell spectra in Discrete Time Dynamical Systems
Study of a Maximal Monotone Model with a Delay Term
Rational Gauss Quadrature
A Numerical Method for an Integro-Differential Equation with Memory in Banach Spaces: Qualitative Properties
A State Space Error Estimate for POD-DEIM Nonlinear Model Reduction
Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics
Piecewise Polynomial Collocation for Fredholm Integro-Differential Equations with Weakly Singular Kernels
Unified Analysis of Finite Volume Methods for the Stokes Equations
Good Behavior with Respect to the Stiffness in the Numerical Integration of Retarded Functional Differential Equations
A Robust Lower-Order Mixed Finite Element Method for a Strain Gradient Elastic Model
A Convexity-Preserving and Perimeter-Decreasing Parametric Finite Element Method for the Area-Preserving Curve Shortening Flow
Fourier Spectral Approximation to Long-time Behavior of Dissipative Generalized KdV-Burgers Equations
First-Order System Least Squares for the Signorini Contact Problem in Linear Elasticity
Spectral Analysis of Dirichlet-Neumann Operators and Optimized Schwarz Methods with Robin Transmission Conditions
Optimal \(\boldsymbol{L}^{\boldsymbol{2}}\) Error Analysis of a Loosely Coupled Finite Element Scheme for Thin-Structure Interactions
On the Norms of Inverses of Pseudospectral Differentiation Matrices
On Korobov Lattice Rules in Weighted Spaces
Asymptotically Compatible Schemes and Applications to Robust Discretization of Nonlocal Models
Poincaré-Friedrichs Inequalities for Piecewise H 1 Functions
Analysis of Finite Element Approximations of Stokes Equations with NonSmooth Data
A Multigrid Method for Viscoelastic Fluid Flow
Erratum: Analysis and Numerical Approximation of Stationary Second-Order Mean Field Game Partial Differential Inclusions
On a Family of Unsplit Advection Algorithms for Volume-of-Fluid Methods
Adaptive Defect-Correction Methods for Viscous Incompressible Flow Problems
Robin-Robin Domain Decomposition Methods for the Stokes-Darcy Coupling
A Partial Fourier Transform Method for a Class of Hypoelliptic Kolmogorov Equations
Regularity of the Diffusion-Dispersion Tensor and Error Analysis of Galerkin FEMs for a Porous Medium Flow
Elimination of First Order Errors in Time Dependent Shock Calculations
A Dual-Dual Formulation for the Coupling of Mixed-FEM and BEM in Hyperelasticity
Superconvergence for the Gradient of Finite Element Approximations by L 2 Projections
Distributional Finite Element curl div Complexes and Application to Quad Curl Problems
Low Regularity Full Error Estimates for the Cubic Nonlinear Schrödinger Equation
Overlapping Domain Decomposition Methods for Numerically Thin Reissner-Mindlin Plates Approximated with the Falk-Tu Elements
A Low-order Nonconforming Finite Element for Reissner-Mindlin Plates
Analysis of an hp-Nonconforming Discontinuous Galerkin Spectral Element Method for Wave Propagation
Geometric Low-Rank Approximation of the Zeitlin Model of Incompressible Fluids on the Sphere
Secant Acceleration of Sequential Residual Methods for Solving Large-Scale Nonlinear Systems of Equations
Convergence of a Finite Volume Scheme for the Vlasov-Poisson System
Optimal Error Estimates of Spectral Petrov-Galerkin and Collocation Methods for Initial Value Problems of Fractional Differential Equations
Provably Positive Central Discontinuous Galerkin Schemes via Geometric Quasilinearization for Ideal MHD Equations
Second Order Exponential Splittings in the Presence of Unbounded and Time-Dependent Operators: Construction and Convergence
An Error Analysis of Conservative Space-Time Mesh Refinement Methods for the One-Dimensional Wave Equation
Optimal Error Estimates for Linear Parabolic Problems with Discontinuous Coefficients
Time Splitting Error in DSMC Schemes for the Spatially Homogeneous Inelastic Boltzmann Equation
Optimality of a Standard Adaptive Finite Element Method for the Stokes Problem
Some Extended Explicit Bel'tyukov Pairs for Volterra Integral Equations of the Second Kind
Frequency-Explicit A Posteriori Error Estimates for Finite Element Discretizations of Maxwell's Equations
A Residual-Based A Posteriori Error Estimator for the Stokes-Darcy Coupled Problem
Pointwise Error Estimates of Discontinuous Galerkin Methods with Penalty for Second-Order Elliptic Problems
Automatic Smoothness Detection of the Resolvent Krylov Subspace Method for the Approximation of C 0 -Semigroups
Geometric Ergodicity for Hamiltonian Monte Carlo on Compact Manifolds
Convergence of Linear Barycentric Rational Interpolation for Analytic Functions
Least Squares Approximations in Linear Statistical Inverse Learning Problems
Perturbative Analysis of the Method of Particular Solutions for Improved Inclusion of High-Lying Dirichlet Eigenvalues
Rational Methods for Abstract, Linear, Nonhomogeneous Problems without Order Reduction
Orthogonal Hessenberg Reduction and Orthogonal Krylov Subspace Bases
Numerical Evaluation of Two and Three Parameter Mittag-Leffler Functions
A Discontinuous Finite Element Method for Solving a Multiwell Problem
Superconvergence and Gradient Recovery of Linear Finite Elements for the Laplace-Beltrami Operator on General Surfaces
Convergence Analysis for Incompressible Generalized Newtonian Fluid Flows with Nonstandard Anisotropic Growth Conditions
Adaptive Finite Element Method for the Maxwell Eigenvalue Problem
Pointwise Error Estimates and Asymptotic Error Expansion Inequalities for the Finite Element Method on Irregular Grids: Part II. Interior Estimates
Optimization of Transmission Conditions in Waveform Relaxation Techniques for RC Circuits
Convergence Analysis of a Residual Local Projection Finite Element Method for the Navier-Stokes Equations
Reduced-Order Optimal Control Based on Approximate Inertial Manifolds for Nonlinear Dynamical Systems
Convergence of Adaptive Finite Element Methods for General Second Order Linear Elliptic PDEs
Robust Multigrid for Isogeometric Analysis Based on Stable Splittings of Spline Spaces
Isogeometric Discrete Differential Forms in Three Dimensions
An Analysis of Some High Accuracy Finite Element Methods for Hyperbolic Problems
A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods
Finite Element Pointwise Results on Convex Polyhedral Domains
Efficient Approximation of SDEs Driven by Countably Dimensional Wiener Process and Poisson Random Measure
A Preconditioning Framework for Sequences of Diagonally Modified Linear Systems Arising in Optimization
Three-Scale Finite Element Discretizations for Quantum Eigenvalue Problems
A Domain Decomposition Method for Stochastic Evolution Equations
An Analysis of Equivalent Operator Preconditioning for Equation-Free Newton-Krylov Methods
Central Discontinuous Galerkin Methods on Overlapping Cells with a Nonoscillatory Hierarchical Reconstruction