DOI10.1016/S0377-0427(99)00321-0zbMath0952.65082OpenAlexW2050873915MaRDI QIDQ1567364
Nami Matsunaga, Tetsuro Yamamoto
Publication date: 15 January 2001
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00321-0
Convergence of finite difference methods for convection--diffusion problems with singular solutions,
Superconvergence of solution derivatives for the Shortley--Weller difference approximation of Poisson's equation. I: Smoothness problems,
ANALYSIS OF GHOST-FLUID METHOD WITH CUBIC EXTRAPOLATION FOR TWO-POINT BOUNDARY VALUE PROBLEM,
A second-order cut-cell method for the numerical simulation of 2D flows past obstacles,
Convergence analysis of the standard central finite difference method for Poisson equation,
Super-convergence in maximum norm of the gradient for the Shortley-Weller method,
Convergence Analysis of the Shortley-Weller Method on Refinement Grids for Elliptic Equations with Singularities,
The convergence rate for difference approximations to fractional boundary value problems,
Monotonicity of some perturbations of irreducibly diagonally dominant \(M\)-matrices,
Superconvergent second-order Cartesian method for solving free boundary problem for invadopodia formation,
A new finite difference representation for Poisson's equation on \(\mathbb R^3\) from a contour integral,
Local boundary element based a new finite difference representation for Poisson equations,
Immersed boundary methods for the numerical simulation of incompressible aerodynamics and fluid-structure interactions,
Solution of the Dirichlet problem by a finite difference analog of the boundary integral equation,
The Shortley-Weller scheme for variable coefficient two-point boundary value problems and its application to tumor growth problem with heterogeneous microenvironment,
Convergence of the Swartztrauber-Sweet Method for Parabolic Problems on a Disk with Singularities,
The Shortley-Weller embedded finite-difference method for the 3D Poisson equation with mixed boundary conditions,
A node-centered local refinement algorithm for Poisson's equation in complex geometries,
The embedded finite difference method for the Poisson equation in a domain with an irregular boundary and Dirichlet boundary conditions,
Nonuniform FDM for Poisson-Type Equations on a Disk with Singular Solutions,
A finite difference continuation method for computing energy levels of Bose-Einstein condensates,
Error Analysis of Adaptive Finite Difference Methods Using Stretching Functions for Polar Coordinate Form of Poisson-Type Equation,
Superconvergence of finite difference approximations for convection-diffusion problems,
Superconvergence of finite difference approximations for convection-diffusion problems,
A stable SPH discretization of the elliptic operator with heterogeneous coefficients,
Superconvergence of Solution Derivatives for the Shortley–Weller Difference Approximation for Parabolic Problems,
Convergence of consistent and inconsistent finite difference schemes and an acceleration technique