Keywords: Exterior Robin problem; Boundary integral equations; Laplace equation; 35J25; 31A10; 45B05; 65N35;
مقالات ISI (ترجمه نشده)
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Keywords: Method of fundamental solution; Angular basis functions; Transformed angular basis functions; 65N22; 65N35;
Keywords: Triangule rectangle mapping; Spectral method; General domain; Structured meshes; 65N35; 65E05; 65M70; 41A05; 41A10; 41A25;
Keywords: Fractional integro-differential equations; Weakly singular kernels; Modification of hat functions; Operational matrix; 26A33; 45G05; 65N35;
Keywords: Modified Kawahara equation; Finite element method; Collocation; Solitary waves; B-spline; 74S05; 41A15; 65N35; 76B25;
Keywords: 65N35; 65M70; 41A05; 41A10; 41A25; Hermite and Laguerre differentiation matrices; New collocation schemes; Unbounded domains;
Keywords: 65F30; 65N35; 15A18; 15A24; Low rank approximation; Sylvester matrix equation; Fast Poisson solver; Alternating direction implicit method; Singular values; Displacement structure;
Keywords: 35K59; 35Q92; 65G20; 65N35; Rigorous numerics; Cross-diffusion; Steady states; Eigenvalue problem; Spectral analysis; Fixed point argument;
Keywords: Chebyshev wavelet finite difference method; System of ordinary differential equations; Boundary value problems; 65M70; 65N35; 35C10; 42C106;
Keywords: Four-species tumor-growth model; Two and three-dimensional equations; Meshless collocation technique; Explicit time integration; Mathematical biology; 65N35;
Keywords: 35J25; 35Q60; 35Q86; 65N35; 78A45; 78M22; High-Order Perturbation of Surfaces methods; Layered media; Linear wave scattering; Helmholtz equation; Diffraction gratings;
Keywords: Dual Petrov–Galerkin method; Chebyshev polynomials of third and fourth kinds; Integrated forms; High odd-order two points boundary value problems65M70; 65N35; 35C10; 42C10
Keywords: 65N35; 65D30; Finite elements; Transport equation; Mass lumping; Dispersion;
Keywords: 65M12; 65M70; 65N12; 65N35; 65M15; 65M22; 65J10; 65J20; 35D30; 35D35; 35B65; 41A25; 41A63Stability; Partial differential equations; Tau methods; Pseudospectral methods; Collocation; Discretization
Keywords: Ultraspherical polynomials; Wavelets; Bernstein-type inequality; Collocation method; Even-order differential equations; Burger’s equation65M70; 65N35; 35C10; 42C10
Improved Kansa RBF method for the solution of nonlinear boundary value problems
Keywords: Radial basis functions; Kansa method; Collocation; 65N35; 65H10;
On multilevel RBF collocation to solve nonlinear PDEs arising from endogenous stochastic volatility models
Keywords: Endogenous stochastic equity volatility model; Nonlinear partial differential equations; Radial basis functions; Multiquadric method; Multilevel newton iteration; 91G80; 65N35;
Theoretical study on continuous polynomial wavelet bases through wavelet series collocation method for nonlinear Lane-Emden type equations
Keywords: Legendre wavelet; Hermite wavelet; Laguerre wavelet; Lane-Emden type equations; Collocation method; Isomorphism; 42C40; 34A12; 65N35;
Dual-primal isogeometric tearing and interconnecting solvers for multipatch dG-IgA equations
Keywords: 65N22; 65N35; 65N55; Diffusion problems; Heterogeneous diffusion coefficients; Isogeometric analysis; Domain decomposition; Discontinuous Galerkin; ETI-DP algorithms;
The third kind Chebyshev wavelets collocation method for solving the time-fractional convection diffusion equations with variable coefficients
Keywords: The third kind Chebyshev wavelets; Time-fractional convection diffusion equations; Operational matrix of fractional order integration; Block pulse functions; Collocation method42C40; 65N35
Laguerre pseudospectral approximation to the Thomas-Fermi equation
Keywords: 34B16; 34B40; 65N35; Thomas-Fermi equation; Pseudospectral; Laguerre function; Singular; Initial slope;
Robust and optimal multi-iterative techniques for IgA collocation linear systems
Keywords: 65D07; 65N35; 15B05; 65F08; 65N55Isogeometric analysis; B-splines; Collocation method; Toeplitz matrices; Symbol; P-GMRES, multigrid, and multi-iterative methods
Approximations by orthonormal mapped Chebyshev functions for higher-dimensional problems in unbounded domains
Keywords: 65N35; 65N15; 35J05Error estimates; Spectral method; Hyperbolic cross; Higher-dimensional problems; Unbounded domains; Mapped Chebyshev functions
A meshless method for an inverse two-phase one-dimensional nonlinear Stefan problem
Keywords: 35K05; 35A35; 65N35; Heat conduction; Inverse Stefan problem; Method of fundamental solutions; Two-phase change; Regularization;
Sparsity optimized high order finite element functions for H(curl) on tetrahedra
Keywords: 65N30; 33C45; 65N35; 33F10; 13P10; 68W30; High order finite elements; Orthogonal polynomials; Symbolic computation; Solution of discretized equations;
Robust multilevel solvers for high-contrast anisotropic multiscale problems
Keywords: 65F10; 65N22; 65N30; 65N35; 65N55; High contrast; Robust AMLI; Anisotropic problems; Multiscale problems;
Finite element simulations of window Josephson junctions
Keywords: 65N35; 65N05; 65F10Window Josephson junctions; Superconductivity; Sine-Gordon; Composite PDE; Finite element; Interface relaxation
Efficient numerical solution of the generalized Dirichlet–Neumann map for linear elliptic PDEs in regular polygon domains
Keywords: 15A06; 15A90; 15A57; 65F05; 65F10; 65N35; 15A57; 35J25Elliptic PDEs; Dirichlet–Neumann map; Global Relation; Collocation; Block circulant matrices; Fast Fourier Transform (FFT)
Tensors-structured numerical methods in scientific computing: Survey on recent advances
Keywords: 65F30; 65F50; 65N35; 65F10High-dimensional problems; Rank structured tensor approximation; Quantics folding of vectors; Matrix valued functions; FEM/BEM; Computational quantum chemistry; Stochastic PDEs
A new class of massively parallel direction splitting for the incompressible Navier–Stokes equations
Keywords: 65N35; 76M20; 65F05; 35J05; 76D30ADI; Direction splitting; Incompressible flows; Navier–Stokes; Pressure Poisson equation; Time splitting
Pseudospectral method for quadrilaterals
Keywords: 65N35; 41A30; 35J05Legendre–Gauss-type interpolation on quadrilaterals; Pseudospectral method
A new theoretical error estimate of the method of fundamental solutions applied to reduced wave problems in the exterior region of a disk
Keywords: 65N35; 35J05Wave problem; Helmholtz equation; Method of fundamental solutions; Dirichlet boundary value problem
Error saturation in Gaussian radial basis functions on a finite interval
Keywords: 65D05; 65N35; 41A05Radial basis functions; Interpolation; Scattered data approximation
Time-harmonic solution for acousto-elastic interaction with controllability and spectral elements
Keywords: 74F10; 65N30; 65N35; 93B05Fluid-structure interaction; Acoustic waves; Elastic waves; Coupled problem; Time-harmonic solution; Spectral element method; Controllability; Conjugate gradient algorithm
Numerical solution of the Poisson equation over hypercubes using reduced Chebyshev polynomial bases
Keywords: 65C05; 65D15; 65D32; 65N35; Reduced size polynomial approximation; Poisson equation on hypercubes; Hybrid variational formulation;
On very accurate enclosure of the optimal constant in the a priori error estimates for H02-projection
Keywords: 65L10; 65L60; 65L70; 65N15; 65N30; 65N35; 65G99; 35J40Constructive a priori error estimates; Legendre polynomials; Fourth-order elliptic problem
A meshfree numerical method for acoustic wave propagation problems in planar domains with corners and cracks
Keywords: 35J05; 35E05; 65N25; 65N35; 74J20; 65Y99Meshfree methods; Method of fundamental solutions; Singular problems; Acoustic wave propagation; Room acoustics; Acoustic resonance
Fast and accurate tensor approximation of a multivariate convolution with linear scaling in dimension
Keywords: 65F30; 65F50; 65N35; 65F10Kronecker products; Tucker tensor decomposition; Canonical tensors; Multidimensional convolution; FFT; Collocation–projection method; Richardson extrapolation; Composite grids
Numerical solution of certain classes of transport equations in any dimension by Shannon sampling
Keywords: 65M25; 65M70; 65N35; 65T60; 94A20; 35L60Nonlinear transport equations; Integro-differential hyperbolic equations; Characteristics; Shannon sampling; Shannon wavelets
A method of fundamental solutions for transient heat conduction in layered materials
Keywords: Heat conduction; Layered materials; Method of fundamental solutions35K05; 35A35; 65N35
Faster convergence and higher accuracy for the Dirichlet–Neumann map
Keywords: 65D25; 65E05; 65N35; 76D27Dirichlet–Neumann map; Integral equations; Nyström method; Potential theory; Fast multipole method
Quadratic spline quasi-interpolants and collocation methods
Keywords: 65D07; 65D25; 65N35; Spline approximants; Numerical differentiation; Spline collocation methods;
Tensor decomposition in electronic structure calculations on 3D Cartesian grids
Keywords: 65F30; 65F50; 65N35; 65F10Tucker-type tensor decomposition; Hartree–Fock equation; Discrete convolution; Orthogonal adaptive tensor-product basis
Direct and iterative solution of the generalized Dirichlet–Neumann map for elliptic PDEs on square domains
Keywords: 35J25; 65N35; 64N99; 65F05; 65F10Elliptic PDEs; Dirichlet–Neumann map; Global relation; Collocation; Iterative methods; Jacobi; Gauss–Seidel; GMRES; Bi-CGSTAB
Exponential decay of errors of a fundamental solution method applied to a reduced wave problem in the exterior region of a disc
Keywords: 65N35; 35J05Reduced wave problem; Helmholtz equation; Fundamental solution method; Collocation method for integral equations of convolution type; Dirichlet boundary value problem; Normalized wave number; Shadow
Computation of the scattering amplitude for a scattering wave produced by a disc — Approach by a fundamental solution method
Keywords: 65N35; 35J05; 78A45Scattering by a disc; Scattering amplitude; Scattering cross section; Far-field coefficient; High frequency wave problem; Reduced wave problem in the exterior region of a disc; Fundamental solution method
Efficient spectral ultraspherical-dual-Petrov–Galerkin algorithms for the direct solution of (2n + 1)th-order linear differential equations
Keywords: 65M70; 65N35; 35C10; 42C10Dual-Petrov–Galerkin method; Ultraspherical polynomials; Nonhomogeneous Dirichlet conditions
Efficient multi-dimensional solution of PDEs using Chebyshev spectral methods
Keywords: 65F05; 65F50; 65N35; 65N22Numerical linear algebra; Spectral methods; Partial differential equations; Discretized equations; Chebyshev polynomials; Quasi-inverse
An FEM identification procedure for a wing section within a class of finite Laurent series
Keywords: 65N30; 65N35; 76M10; 76M40Conformal mapping of wing; Finite element computation of potential function; 2-dimensional perfect fluid around wing section; Finite Laurent series; Collocation method; NACA23012 wing section
Integration matrix based on arbitrary grids with a preconditioner for pseudospectral method
Keywords: 45J05; 65N35; 65L60; 41A30Pseudospectral; Preconditioner; Arbitrary grids; Random grids; Integro-differential equations