yusuke1997/dblp-id-title huggingface dataset:
An Energy Stable Discontinuous Galerkin Spectral Element Discretization for Variable Coefficient Advection Problems
Exploiting Multiple Levels of Parallelism in Sparse Matrix-Matrix Multiplication
Deep Splitting Method for Parabolic PDEs
Random Relaxation of Fixed-Point Iteration
Multidimensional Staggered Grid Residual Distribution Scheme for Lagrangian Hydrodynamics
A Multilevel, Hierarchical Sampling Technique for Spatially Correlated Random Fields
A Block Projection Method for Sparse Matrices
Efficient Computation of Option Prices and Greeks by Quasi-Monte Carlo Method with Smoothing and Dimension Reduction
Collocation Methods for General Volterra Functional Integral Equations with Vanishing Delays
The Alpha-Method Direct Transcription in Path Constrained Dynamic Optimization
String Gradient Weighted Moving Finite Elements in Multiple Dimensions with Applications in Two Dimensions
Invariant Discretization Schemes for the Shallow-Water Equations
Methods for Reducing Approximate-Factorization Errors in Two- and Three-Factored Schemes
Fast Algorithms for Adaptive Free Knot Spline Approximation Using Nonuniform Biorthogonal Spline Wavelets
Improvement of Space-Invariant Image Deblurring by Preconditioned Landweber Iterations
Numerical Methods for Stochastic Delay Differential Equations Via the Wong-Zakai Approximation
An Adaptively Refined Least-Squares Finite Element Method for Generalized Newtonian Fluid Flows Using the Carreau Model
A Bound-Preserving and Positivity-Preserving Path-Conservative Discontinuous Galerkin Method for Solving Five-Equation Model of Compressible Two-Medium Flows
Structure-Preserving Parametric Finite Element Method for Surface Diffusion Based on Lagrange Multiplier Approaches
A Trust Region Method for Nonlinear Programming Based on Primal Interior-Point Techniques
Sparse Tomography
Special Section: 2023 Copper Mountain Conference
Combining Kronecker Product Approximation with Discrete Wavelet Transforms to Solve Dense, Function-Related Linear Systems
Weakly Intrusive Low-Rank Approximation Method for Nonlinear Parameter-Dependent Equations
On GSOR, the Generalized Successive Overrelaxation Method for Double Saddle-Point Problems
Order Reduction Methods for Solving Large-Scale Differential Matrix Riccati Equations
Surface Finite Element Approximation of Spherical Whittle-Matérn Gaussian Random Fields
Scalable Algorithms for Multiple Network Alignment
Toward Front Tracking Based on Conservation in Two Space Dimensions
Adaptive Quadrature by Expansion for Layer Potential Evaluation in Two Dimensions
A New Multiscale Representation for Shapes and Its Application to Blood Vessel Recovery
Parallel Element-Based Algebraic Multigrid for \(\boldsymbol{H}\) (curl) and \(\boldsymbol{H}\) (div) Problems Using the ParELAG Library
Variational Mass Lumping in the Partition of Unity Method
Increasing the Performance of the Jacobi-Davidson Method by Blocking
The Matrix Equation X+A TX -1 A=Q and Its Application in Nano Research
Algebraic Distance on Graphs
A Minimum-Phase LU Factorization Preconditioner for Toeplitz Matrices
Robust First- and Second-Order Differentiation for Regularized Optimal Transport
Asymptotic Solution of Stiff PDEs with the CSP Method: The Reaction Diffusion Equation
A Simplified Method for Upscaling Composite Materials with High Contrast of the Conductivity
A Numerical Method for Transport Equations with Discontinuous Flux Functions: Application to Mathematical Modeling of Cell Dynamics
The Inverse Fast Multipole Method: Using a Fast Approximate Direct Solver as a Preconditioner for Dense Linear Systems
Robust Iterative Method for Symmetric Quantum Signal Processing in All Parameter Regimes
Learned Infinite Elements
Radially Projected Finite Elements
Scalable Optimization-Based Sampling on Function Space
Numerical Integrators for the Hybrid Monte Carlo Method
To Be or Not to Be Intrusive? The Solution of Parametric and Stochastic Equations - the "Plain Vanilla" Galerkin Case
A Shadowing Lemma Approach to Global Error Analysis for Initial Value ODEs
Fast Monte Carlo Simulation Methods for Biological Reaction-Diffusion Systems in Solution and on Surfaces
Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes
Nested Iteration and First-Order Systems Least Squares for a Two-Fluid Electromagnetic Darwin Model
A Robust Hyperviscosity Formulation for Stable RBF-FD Discretizations of Advection-Diffusion-Reaction Equations on Manifolds
A Stable Added-Mass Partitioned (AMP) Algorithm for Elastic Solids and Incompressible Flow: Model Problem Analysis
Implementing Generating Set Search Methods for Linearly Constrained Minimization
Solving Hyperbolic PDEs Using Interpolating Wavelets
A Discontinuous Galerkin Solver for Front Propagation
Robust Preconditioning for XFEM Applied to Time-Dependent Stokes Problems
Interpolating Parametrized Quantum Circuits Using Blackbox Queries
Deflation Techniques for Finding Multiple Local Minima of a Nonlinear Least Squares Problem
Implicit-Explicit Integral Deferred Correction Methods for Stiff Problems
Spectral and Discontinuous Spectral Element Methods for Fractional Delay Equations
On the Use of Discrete Laplace Operator for Preconditioning Kernel Matrices
Efficient Weighted Lattice Rules with Applications to Finance
Special Section: 2012 Copper Mountain Conference
Algebraic Wavelet Transform via Quantics Tensor Train Decomposition
The Wick-Malliavin Approximation of Elliptic Problems with Log-Normal Random Coefficients
Boundary Element Preconditioners for Problems Defined on Slender Domains
Smoothness-Increasing Accuracy-Conserving Filters for Discontinuous Galerkin Solutions over Unstructured Triangular Meshes
On Effective Methods for Implicit Piecewise Smooth Surface Recovery
Minimal Convex Combinations of Sequential Laplace-Dirichlet Eigenvalues
On Schwarz Alternating Methods for Nonlinear Elliptic PDEs
Constrained Centroidal Voronoi Tessellations for Surfaces
Constraint Preserving Schemes for Some Gauge Invariant Wave Equations
On Preconditioned Iterative Methods for Burgers Equations
Invariant Domain-Preserving Approximations for the Euler Equations with Tabulated Equation of State
An Evaluation of Parallel Multigrid as a Solver and a Preconditioner for Singularly Perturbed Problems
Adaptive Pattern Research for Block FSAI Preconditioning
Hybrid High-Order Approximations of Div-Curl Systems on Domains with General Topology
Computing the Distance between Two Finite Element Solutions Defined on Different 3D Meshes on a GPU
Fast Evaluation of Multiquadric RBF Sums by a Cartesian Treecode
Robust Decoding from 1-Bit Compressive Sampling with Ordinary and Regularized Least Squares
A Second-Order Tridiagonal Method for American Options under Jump-Diffusion Models
A Robust Solver for \({H}\)\((\textrm {curl})\) Convection-Diffusion and Its Local Fourier Analysis
A Scaled Gradient Projection Method for Bayesian Learning in Dynamical Systems
Kaczmarz-Type Inner-Iteration Preconditioned Flexible GMRES Methods for Consistent Linear Systems
Numerical Simulation of Microflows Using Hermite Spectral Methods
Asynchronous Parallel Generating Set Search for Linearly Constrained Optimization
Some Aspects of Circulant Preconditioners
Central-Upwind Schemes for Two-Layer Shallow Water Equations
The Fringe Region Technique and the Fourier Method Used in the Direct Numerical Simulation of Spatially Evolving Viscous Flows
Solving Dirichlet Boundary-value Problems on Curved Domains by Extensions from Subdomains
Multivariate Monte Carlo Approximation Based on Scattered Data
C ∞ Compactly Supported and Positive Definite Radial Kernels
Preconditioned Low-Rank Riemannian Optimization for Symmetric Positive Definite Linear Matrix Equations
Rational Approximation to the Fractional Laplacian Operator in Reaction-Diffusion Problems
Energy Stable Numerical Schemes for a Hydrodynamic Model of Nematic Liquid Crystals
Stochastic Algorithms for Inverse Problems Involving PDEs and many Measurements
Estimates of the Norm of the Error in Solving Linear Systems with FOM and GMRES
A Variable Step Runge-Kutta-Nyström Integrator for Reversible Systems of Second Order Initial Value Problems
Accelerated A Posteriori Error Estimation for the Reduced Basis Method with Application to 3D Electromagnetic Scattering Problems
Computation of Shot-Noise Probability Distributions and Densities
FFT, FMM, or Multigrid? A comparative Study of State-Of-the-Art Poisson Solvers for Uniform and Nonuniform Grids in the Unit Cube
Error Minimization of Multipole Expansion
Fitting Data with Errors in All Variables Using the Huber M-estimator
Nesterov's Accelerated Jacobi-Type Methods for Large-Scale Symmetric Positive Semidefinite Linear Systems
Orderings for Parallel Conjugate Gradient Preconditioners
A Novel Multigrid Based Preconditioner For Heterogeneous Helmholtz Problems
Distributed Immersed Boundary Simulation in Titanium
Krylov-Riemann Solver for Large Hyperbolic Systems of Conservation Laws
Fourth- and Higher-Order Semi-Lagrangian Finite Volume Methods for the Two-Dimensional Advection Equation on Arbitrarily Complex Domains
Multiphysics Computational Modeling in CHeart
Optimal Two-Dimensional Finite Difference Grids Providing Superconvergence
Relaxation Exponential Rosenbrock-Type Methods for Oscillatory Hamiltonian Systems
New Fourth Order Postprocessing Techniques for Plate Bending Eigenvalues by Morley Element
A Novel Hybrid Sequential Design Strategy for Global Surrogate Modeling of Computer Experiments
Acceleration on Adaptive Importance Sampling with Sample Average Approximation
Uniformly Accurate Methods for Three Dimensional Vlasov Equations under Strong Magnetic Field with Varying Direction
On Adaptive Choice of Shifts in Rational Krylov Subspace Reduction of Evolutionary Problems
Sequential Regularization Methods for Simulating Mechanical Systems with Many Closed Loops
Preconditioning for the Steady-State Navier-Stokes Equations with Low Viscosity
Numerical Solution of the Hartree - Fock Equation in Multilevel Tensor-Structured Format
Robust Multisecant Quasi-Newton Variants for Parallel Fluid-Structure Simulations - and Other Multiphysics Applications
A Note on Adaptive Nonlinear Preconditioning Techniques
Interpolation of Inverse Operators for Preconditioning Parameter-Dependent Equations
Langevin Diffusion for Population Based Sampling with an Application in Bayesian Inference for Pharmacodynamics
Adaptive and Recursive Time Relaxed Monte Carlo Methods for Rarefied Gas Dynamics
Physics-Aware Deep Learning Framework for the Limited Aperture Inverse Obstacle Scattering Problem
Special Section: 2018 Copper Mountain Conference
Construction of Simple, Stable, and Convergent High Order Schemes for Steady First Order Hamilton--Jacobi Equations
A Weak Formulation of the Immersed Boundary Method
On Signed Incomplete Cholesky Factorization Preconditioners for Saddle-Point Systems
High-Order Conservative Positivity-Preserving DG-Interpolation for Deforming Meshes and Application to Moving Mesh DG Simulation of Radiative Transfer
Symmetric Positive Definite Flux-Continuous Full-Tensor Finite-Volume Schemes on Unstructured Cell-Centered Triangular Grids
Self-Sorting In-Place Fast Fourier Transforms
Modular Parameter Identification of Biomolecular Networks
A New Algorithm for Computing the Exponential of a Block Triangular Matrix
A Preconditioned and Shifted GMRES Algorithm for the PageRank Problem with Multiple Damping Factors
Quality Triangulations with Locally Optimal Steiner Points
Accelerating the LSTRS Algorithm
Rapid Computation of the Discrete Fourier Transform
Substructuring Preconditioners for the Systems Arising from Plane Wave Discretization of Helmholtz Equations
A Parallel Algorithm to Evaluate Chebyshev Series on a Message Passing Environment
A Front Tracking Method for Compressible Flames in One Dimension
Local Orthogonal Cutting Method for Computing Medial Curves and Its Biomedical Applications
Scalable Low-Order Finite Element Preconditioners for High-Order Spectral Element Poisson Solvers
Stabilized Explicit-Implicit Domain Decomposition Methods for the Numerical Solution of Parabolic Equations
Special Section on Two Themes: Planet Earth and Big Data
Least-Squares Mixed Finite Element Solution of Variably Saturated Subsurface Flow Problems
Temporal Error Control for Convection-Dominated Equations in Two Space Dimensions
Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension
The Hermite Spectral Method for Gaussian-Type Functions
Hybrid Dealiasing of Complex Convolutions
An Efficient Proximal Block Coordinate Homotopy Method for Large-Scale Sparse Least Squares Problems
When Bifidelity Meets CoKriging: An Efficient Physics-Informed MultiFidelity Method
A Nonsmooth Multiscale Method for Solving Frictional Two-Body Contact Problems in 2D and 3D with Multigrid Efficiency
Elliptic Preconditioner for Accelerating the Self-Consistent Field Iteration in Kohn-Sham Density Functional Theory
Unbiased Estimation Using Underdamped Langevin Dynamics
An Exponential Time Integrator for the Incompressible Navier-Stokes Equation
Central WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes
Optimal Quadrature-Sparsification for Integral Operator Approximation
Enhancing Performance and Robustness of ILU Preconditioners by Blocking and Selective Transposition
Third-Order Sectorially A-Stable Alternating Implicit Runge-Kutta Schemes
A Framework for Discrete Integral Transformations II-The 2D Discrete Radon Transform
On Two-Dimensional Sparse Matrix Partitioning: Models, Methods, and a Recipe
A Second Order Nonsmooth Variational Model for Restoring Manifold-Valued Images
The Accumulation of Rounding Errors and Port Validation for Global Atmospheric Models
Exact Simulation of the Multifactor Ornstein-Uhlenbeck Driven Stochastic Volatility Model
A Multiresolution Method for Distributed Parameter Estimation
Wavelet and Fourier Methods for Solving the Sideways Heat Equation
Quality-Bayesian Approach to Inverse Acoustic Source Problems with Partial Data
Superconvergence and Postprocessing of Fluxes from Lowest-Order Mixed Methods on Triangles and Tetrahedra
A Posteriori Local Subcell Correction of High-Order Discontinuous Galerkin Scheme for Conservation Laws on Two-Dimensional Unstructured Grids
Preconditioning Markov Chain Monte Carlo Simulations Using Coarse-Scale Models
A New Finite Element Gradient Recovery Method: Superconvergence Property
An Efficient Frequency-Independent Numerical Method for Computing the Far-Field Pattern Induced by Polygonal Obstacles
Structure-Preserving Function Approximation via Convex Optimization
An Essentially Oscillation-Free Discontinuous Galerkin Method for Hyperbolic Systems
Multirevolution Integrators for Differential Equations with Fast Stochastic Oscillations
The Ultra-Weak Variational Formulation for Elastic Wave Problems
A Multigrid-Preconditioned Newton-Krylov Method for the Incompressible Navier-Stokes Equations
A Neural Network Approach for Stochastic Optimal Control
A Comparison of Techniques for the Reconstruction of Leaf Surfaces from Scanned Data
Efficient Quadrature Rules for Computing the Stiffness Matrices of Mass-Lumped Tetrahedral Elements for Linear Wave Problems
Kinetic Flux Vector Splitting Schemes for Ideal Quantum Gas Dynamics
Robust and Accurate Stopping Criteria for Adaptive Randomized Sampling in Matrix-Free Hierarchically Semiseparable Construction
The Hierarchical Basis Extrapolation Method
Fast Computation for Large Magnetostatic Systems Adapted for Micromagnetism
Multigrid Algorithms for Nonconforming and Mixed Methods for Nonsymmetric and Indefinite Problems
Sequential Regularization Methods for Nonlinear Higher-Index DAEs
A Three-Dimensional Mixed Finite-Element Approximation of the Semiconductor Energy-Transport Equations
Helmholtz Scattering by Random Domains: First-Order Sparse Boundary Element Approximation
Optimizing a Parallel Conjugate Gradient Solver
Simulating Self-Avoiding Isometric Plate Bending
Solution of Structured Geometric Programs in Sample Survey Design
Implicit Schemes for the Fokker-Planck-Landau Equation
Axially Symmetric Acoustic Wave Propagation Through Flows with Vorticity
Multirate Exponential Rosenbrock Methods
Smoothers with Localized Residual Computations for Geometric Multigrid Methods for Higher-Order Finite Elements
Enriched Galerkin-Characteristics Finite Element Method for Incompressible Navier-Stokes Equations
A General Alternating-Direction Implicit Framework with Gaussian Process Regression Parameter Prediction for Large Sparse Linear Systems
Solution of Linear Systems and Matrix Inversion in the TT-Format
On Computation of the Design Function Gradient for the Sensor-Location Problem in Variational Data Assimilation
Efficiency Based Adaptive Local Refinement for First-Order System Least-Squares Formulations
Absolute Value Preconditioning for Symmetric Indefinite Linear Systems
A Singular Function Boundary Integral Method for Laplacian Problems with Boundary Singularities
Identification of Polynomial Chaos Representations in High Dimension from a Set of Realizations
Fixing Nonconvergence of Algebraic Iterative Reconstruction with an Unmatched Backprojector
A Variational Lagrangian Scheme for a Phase-Field Model: A Discrete Energetic Variational Approach
To Be or Not to Be Stable, That Is the Question: Understanding Neural Networks for Inverse Problems
Efficient Variants of the Vertex Space Domain Decomposition Algorithm
Genetic Column Generation for Computing Lower Bounds for Adversarial Classification
Adaptive Timestepping for Elastohydrodynamic Lubrication Solvers
Algorithms for Kullback-Leibler Approximation of Probability Measures in Infinite Dimensions
On the Nonnormality of Subiteration for a Fluid-Structure-Interaction Problem
An Overdetermined Schwarz Alternating Method
A Modified Finite Volume Approximation of Second-Order Elliptic Equations with Discontinuous Coefficients
Enhancing ZFP: A Statistical Approach to Understanding and Reducing Error Bias in a Lossy Floating-Point Compression Algorithm
The Reformulation and Numerical Solution of Certain Nonclassical Initial-Boundary Value Problems
On NonAsymptotic Optimal Stopping Criteria in Monte Carlo Simulations
Relaxed Regularization for Linear Inverse Problems
Monolithic Multigrid Methods for Magnetohydrodynamics
Adaptive Selection of Primal Constraints for Isogeometric BDDC Deluxe Preconditioners
Domain-Decomposition-Type Methods for Computing the Diagonal of a Matrix Inverse
Parallel Lagrange-Newton-Krylov-Schur Methods for PDE-Constrained Optimization. Part I: The Krylov-Schur Solver
Local Compatibility Boundary Conditions for High-Order Accurate Finite-Difference Approximations of PDEs
Fast Deconvolution by a Two-Step Method
Numerical Implementation of a Space-Transformation Approach for Solving the Three-Dimensional Flow Equation
Wavelet-In-Time Multigrid-In-Space Preconditioning of Parabolic Evolution Equations
A Multigrid Method for the Helmholtz Equation with Optimized Coarse Grid Corrections
Multiway Monte Carlo Method for Linear Systems
Conservative Multimoment Transport along Characteristics for Discontinuous Galerkin Methods
Exploiting Multilevel Preconditioning Techniques in Eigenvalue Computations
A New Parareal Algorithm for Problems with Discontinuous Sources
Low-Rank Matrix Iteration Using Polynomial-Filtered Subspace Extraction
Optimized Schwarz Waveform Relaxation for the Primitive Equations of the Ocean
Regularization of Poisson-Boltzmann Type Equations with Singular Source Terms Using the Range-Separated Tensor Format
Fast and Accurate Evaluation of Wigner 3j, 6j, and 9j Symbols Using Prime Factorization and Multiword Integer Arithmetic
Runge-Kutta Discontinuous Galerkin Method Using WENO Limiters
An Analysis of Approximate Nonlinear Elimination
Atomistic/Continuum Blending with Ghost Force Correction
A Globally Convergent Numerical Method for a 3D Coefficient Inverse Problem for a Wave-Like Equation
An Efficient Third-Order WENO Scheme with Unconditionally Optimal Accuracy
Robustness of an Elementwise Parallel Finite Element Method for Convection-Diffusion Problems
Approximation of the Wave and Electromagnetic Diffusion Equations by Spectral Method
Implicit-explicit Schemes for Incompressible Flow Problems with Variable Viscosity
Mass-Conserving Front Tracking for Miscible Two-Phase Flow
The Method of Fundamental Solutions for Stationary Heat Conduction Problems in Rotationally Symmetric Domains
Evaluation of an Efficient Stack-RLE Clustering Concept for Dynamically Adaptive Grids
Algorithms for Special Tridiagonal Systems
SemiAutomatic Task Graph Construction for $\mathcal{H}$-Matrix Arithmetic
A MUSTA Scheme for a Nonconservative Two-Fluid Model
Tensor-Train Decomposition
A Low-Storage Curvilinear Discontinuous Galerkin Method for Wave Problems
Balanced Truncation Model Reduction for a Class of Descriptor Systems with Application to the Oseen Equations
Divide and Conquer on Hybrid GPU-Accelerated Multicore Systems
A New Implementation of Symplectic Runge-Kutta Methods
High Order Asymptotic Preserving Deferred Correction Implicit-Explicit Schemes for Kinetic Models
Weakly Implicit Numerical Schemes for a Two-Fluid Model
Computing with Expansions in Gegenbauer Polynomials
A Systematic Approach to Constructing Preconditioners for the $hp$-Version Mass Matrix on Unstructured and Hybrid Finite Element Meshes
Iterative Importance Sampling Algorithms for Parameter Estimation
A Fast Treecode for Multiquadric Interpolation with Varying Shape Parameters
An Efficient Unconditionally Stable Method for Dirichlet Partitions in Arbitrary Domains
Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy
Splitting for Dissipative Particle Dynamics
Efficiently Computing Many Roots of a Function
Algebraic Multigrid for Linear Systems Obtained by Explicit Element Reduction
Simulations of Acoustic Wave Phenomena Using High-Order Finite Difference Approximations
On Least Squares Problems with Certain Vandermonde-Khatri-Rao Structure with Applications to DMD
Alternating Mahalanobis Distance Minimization for Accurate and Well-Conditioned CP Decomposition
Sparse Discrete Empirical Interpolation Method: State Estimation from Few Sensors
Conditions at the Downstream Boundary for Simulations of Viscous, Incompressible Flow
A New Triangular Finite-Element with Optimum Constraint Ratio for Compressible Fluids
Energy-Dissipative Spectral Renormalization Exponential Integrator Method for Gradient Flow Problems
Asymptotic Analysis and Numerical Method for Singularly Perturbed Eigenvalue Problems
A MultiHarmonic Finite Element Method for Scattering Problems with Small-Amplitude Boundary Deformations
Oscillation-Free Numerical Schemes for Biot's Model and Their Iterative Coupling Solution
P3DFFT: A Framework for Parallel Computations of Fourier Transforms in Three Dimensions
Efficient and Reliable Multiprecision Implementation of Elementary and Special Functions
Adaptive Wick-Malliavin Approximation to Nonlinear SPDEs with Discrete Random Variables
Modeling Fractures and Barriers as Interfaces for Flow in Porous Media
Low-Rank Tensor Methods with Subspace Correction for Symmetric Eigenvalue Problems
Iterative Solvers for a Spectral Galerkin Approach to Elliptic Partial Differential Equations with Fuzzy Coefficients
Fast Iterative Solvers for Discrete Stokes Equations
On Constraint Preservation in Numerical Simulations of Yang-Mills Equations
On Efficient Solutions to the Continuous Sensitivity Equation Using Automatic Differentiation
Robust Pricing of European Options with Wavelets and the Characteristic Function
Element-Free AMGe: General Algorithms for Computing Interpolation Weights in AMG
Optimized Schwarz Methods for Maxwell's Equations
Mixed-Dimensional Auxiliary Space Preconditioners
A Mixed Discontinuous Galerkin Method for a Linear Viscoelasticity Problem With Strongly Imposed Symmetry
Cheap Error Estimation for Runge-Kutta Methods
New Algorithms for Computing the Real Structured Pseudospectral Abscissa and the Real Stability Radius of Large and Sparse Matrices
Anisotropic Measures of Third Order Derivatives and the Quadratic Interpolation Error on Triangular Elements
Time-Marching Algorithms for Nonlocal Evolution Equations Based Upon "Approximate Approximations"