Mesh Methods

Viktor A Rukavishnikov, Pedro M Lima, Ildar B Badriev

ISBN 10: 3036503765 / ISBN 13: 9783036503769

Published by Mdpi AG, 2021

About this Item

Seller Inventory # LU-9783036503769

Bibliographic Details

• Title: Mesh Methods
• Publisher: Mdpi AG
• Publication Date: 2021
• Language: English
• ISBN 10: 3036503765
• ISBN 13: 9783036503769
• Binding: Hardback
• Condition: New
• Dimensions: 16.99W x 1.27H x 24.41D centimeters 16.99 centimeters width by 1.27 centimeters height by 24.41 centimeters depth
• Weight: 481 grams

About this title

Synopsis

Mathematical models of various natural processes are described by differential equations, systems of partial differential equations and integral equations. In most cases, the exact solution to such problems cannot be determined; therefore, one has to use grid methods to calculate an approximate solution using high-performance computing systems. These methods include the finite element method, the finite difference method, the finite volume method and combined methods. In this Special Issue, we bring to your attention works on theoretical studies of grid methods for approximation, stability and convergence, as well as the results of numerical experiments confirming the effectiveness of the developed methods. Of particular interest are new methods for solving boundary value problems with singularities, the complex geometry of the domain boundary and nonlinear equations. A part of the articles is devoted to the analysis of numerical methods developed for calculating mathematical models in various fields of applied science and engineering applications. As a rule, the ideas of symmetry are present in the design schemes and make the process harmonious and efficient.