High-Order Finite Difference and Finite Element Methods for Solving Some Partial Differential Equations

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 developme...