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

Discover the cutting-edge techniques in numerical analysis with High-Order Finite Difference and Finite Element Methods for Solving Some Partial Differential Equations by Ulziibayar Vandondoo. Published by Springer International Publishing AG in 2024, this insightful monograph spans 114 pages and focuses on the development of high-order finite difference and finite element methods tailored for multidimensional boundary-value problems (BVPs).

Delve into the intricacies of solving various partial differential equations, including linear Helmholtz and wave equations, nonlinear Burgers’ equations, and the elliptic Schrödinger equation. This book is an essential resource for researchers and practitioners seeking advanced methodologies in numerical solutions. Enhance your understanding and application of these powerful mathematical tools, and elevate your problem-solving skills in the field of applied mathematics.