Free Download High-Order Finite Difference and Finite Element Methods for Solving Some Partial Differential Equations
English | 2024 | ISBN: 3031447832 | 126 Pages | PDF (True) | 2 MB
The monograph is devoted to the construction of the high-order finite difference and finite element methods for numerical solving multidimensional boundary-value problems (BVPs) for different partial differential equations, in particular, linear Helmholtz and wave equations, nonlinear Burgers' equations, and elliptic (Schrödinger) equation. Despite of a long history especially in development of the theoretical background of these methods there are open questions in their constructive implementation in numerical solving the multidimensional BVPs having additional requirement on physical parameters or desirable properties of its approximate solutions.