Finding nonoverlapping substructures of a sparse matrix.
Finding roots of nonlinear systems of equations on a domain.
Finite Difference Approximation of Strong Solutions of a Parabolic Interface Problem on Disconnected Domains
Finite difference approximation to the Cauchy problem for non-linear parabolic differential equations
Finite difference approximations for a class of nonlocal parabolic equations.
Finite difference approximations for nonlinear first order partial differential equations.
Finite difference approximations for partial differential equations with rapidly oscillating coefficients
Finite Difference Approximations to the Dirichlet Problem for Elliptic Systems.
Finite difference discretization of the Kuramoto-Sivashinsky equation.
Finite difference discretization with variable mesh of the Schrodinger equation in a variable domain
Finite difference method for hyperbolic equations with the nonlocal integral condition.
Finite difference method for the parabolic problem with delta function
Finite Difference Methods and Their Convergence for a Class of Singular Two Point Boundary Value Problems.
Finite difference methods for computing eigenvalues of fourth order boundary value problems.
Finite difference methods for coupled flow interaction transport models.
Finite difference operators from moving least squares interpolation
In a foregoing paper [Sonar, ESAIM: M2AN39 (2005) 883–908] we analyzed the Interpolating Moving Least Squares (IMLS) method due to Lancaster and Šalkauskas with respect to its approximation powers and derived finite difference expressions for the derivatives. In this sequel we follow a completely different approach to the IMLS method given by Kunle [Dissertation (2001)]. As a typical problem with IMLS method we address the question of getting admissible results at the boundary by introducing “ghost...
Finite difference scheme for the Willmore flow of graphs
In this article we discuss numerical scheme for the approximation of the Willmore flow of graphs. The scheme is based on the finite difference method. We improve the scheme we presented in Oberhuber [Obe-2005-2,Obe-2005-1] which is based on combination of the forward and the backward finite differences. The new scheme approximates the Willmore flow by the central differences and as a result it better preserves symmetry of the solution. Since it requires higher regularity of the solution, additional...
Finite Difference Schemes on Nonuniform Meshes for Parabolic Problems With Generalized Solutions
Finite Dimensional Approximation of Bifurcation Problems in Presence of Symmetries.
Finite Dimensional Approximation of Nonlinear Problems. Part I. Branches of Nonsingular Solutions.