This paper is concerned with numerical methods for a class of two-dimensional quasilinear elliptic boundary value problems. A compact finite difference method with a nonisotropic mesh is proposed for ...

SIAM Journal on Numerical Analysis, Vol. 50, No. 4 (2012), pp. 2088-2110 (23 pages) We develop a quadratic C° interior penalty method for linear fourth order boundary value problems with essential and ...

Mathematical approaches for numerically solving partial differential equations. The focus will be (a) iterative solution methods for linear and non-linear equations, (b) spatial discretization and ...

ABSTRACT: This paper presents a comprehensive numerical study of the two-dimensional time-dependent heat conduction equation using the Forward Time Centered Space (FTCS) finite difference scheme. The ...

ABSTRACT: This study presents a comprehensive numerical investigation of fourth-order nonlinear boundary value problems (BVPs) using an efficient and accurate computational approach. The present work ...

LAMBERT, J.D. Computational Methods in Ordinary Differential Equation . John Wiley & Sons, 1973. SMITH, G.D. Oxford Applied Mathematics and Computing Science Series-Numerical Solution of Partial ...

Abstract: This manuscript proposes a general parallel directsolver framework to parallelize and accelerate the implicit numerical simulation of wave propagation. To illustrate the concept, 1D implicit ...