New Difference Schemes for Partial Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook New Difference Schemes for Partial Differential Equations write by Allaberen Ashyralyev. This book was released on 2012-12-06. New Difference Schemes for Partial Differential Equations available in PDF, EPUB and Kindle. This book explores new difference schemes for approximating the solutions of regular and singular perturbation boundary-value problems for PDEs. The construction is based on the exact difference scheme and Taylor's decomposition on the two or three points, which permits investigation of differential equations with variable coefficients and regular and singular perturbation boundary value problems.
Finite Difference Schemes and Partial Differential Equations
Finite Difference Schemes and Partial Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Finite Difference Schemes and Partial Differential Equations write by John C. Strikwerda. This book was released on 1989-09-28. Finite Difference Schemes and Partial Differential Equations available in PDF, EPUB and Kindle.
Analysis of Finite Difference Schemes
Analysis of Finite Difference Schemes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Analysis of Finite Difference Schemes write by Boško S. Jovanović. This book was released on 2013-10-22. Analysis of Finite Difference Schemes available in PDF, EPUB and Kindle. This book develops a systematic and rigorous mathematical theory of finite difference methods for linear elliptic, parabolic and hyperbolic partial differential equations with nonsmooth solutions. Finite difference methods are a classical class of techniques for the numerical approximation of partial differential equations. Traditionally, their convergence analysis presupposes the smoothness of the coefficients, source terms, initial and boundary data, and of the associated solution to the differential equation. This then enables the application of elementary analytical tools to explore their stability and accuracy. The assumptions on the smoothness of the data and of the associated analytical solution are however frequently unrealistic. There is a wealth of boundary – and initial – value problems, arising from various applications in physics and engineering, where the data and the corresponding solution exhibit lack of regularity. In such instances classical techniques for the error analysis of finite difference schemes break down. The objective of this book is to develop the mathematical theory of finite difference schemes for linear partial differential equations with nonsmooth solutions. Analysis of Finite Difference Schemes is aimed at researchers and graduate students interested in the mathematical theory of numerical methods for the approximate solution of partial differential equations.
Numerical Partial Differential Equations: Finite Difference Methods
Numerical Partial Differential Equations: Finite Difference Methods - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Numerical Partial Differential Equations: Finite Difference Methods write by J.W. Thomas. This book was released on 2013-12-01. Numerical Partial Differential Equations: Finite Difference Methods available in PDF, EPUB and Kindle. What makes this book stand out from the competition is that it is more computational. Once done with both volumes, readers will have the tools to attack a wider variety of problems than those worked out in the competitors' books. The author stresses the use of technology throughout the text, allowing students to utilize it as much as possible.
Finite Difference Methods for Ordinary and Partial Differential Equations
Finite Difference Methods for Ordinary and Partial Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Finite Difference Methods for Ordinary and Partial Differential Equations write by Randall J. LeVeque. This book was released on 2007-01-01. Finite Difference Methods for Ordinary and Partial Differential Equations available in PDF, EPUB and Kindle. This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples.
