High-Order Finite Difference and Finite Element Methods for Solving Some Partial Differential Equations (Synthesis Lectures on Engineering, Science, and Technology) - Tapa dura

Libro 84 de 110: Synthesis Lectures on Engineering, Science, and Technology

Vandandoo, Ulziibayar; Zhanlav, Tugal; Chuluunbaatar, Ochbadrakh; Gusev, Alexander; Vinitsky, Sergue; Chuluunbaatar, Galmandakh

 
9783031447839: High-Order Finite Difference and Finite Element Methods for Solving Some Partial Differential Equations (Synthesis Lectures on Engineering, Science, and Technology)

Sinopsis

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.

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De la contraportada

This monograph is intended for graduate students, researchers and teachers. It is devoted to the construction of high-order schemes of the finite difference method and the finite element method for the solution of multidimensional boundary value problems for various partial differential equations, in particular, linear Helmholtz and wave equations, and nonlinear Burgers' equation. The finite difference method is a standard numerical method for solving boundary value problems. Recently, considerable attention has been paid to constructing an accurate (or exact) difference approximation for some ordinary and partial differential equations. An exact finite difference method is developed for Helmholtz and wave equations with general boundary conditions (including initial condition for wave equation) on the rectangular domain in R2. The method proposed here comes from [4] and is based on separation of variables method and expansion of one-dimensional three-point difference operators for sufficiently smooth solution. The efficiency and accuracy of the method have been tested on several examples.

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Otras ediciones populares con el mismo título

9783031447860: High-Order Finite Difference and Finite Element Methods for Solving Some Partial Differential Equations (Synthesis Lectures on Engineering, Science, and Technology)

Edición Destacada

ISBN 10:  3031447867 ISBN 13:  9783031447860
Editorial: Springer, 2025
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