Analysis of Finite Difference Schemes

For Linear Partial Differential Equations with Generalized Solutions

Nonfiction, Science & Nature, Mathematics, Number Systems, Differential Equations
Cover of the book Analysis of Finite Difference Schemes by Boško S. Jovanović, Endre Süli, Springer London
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Boško S. Jovanović, Endre Süli ISBN: 9781447154600
Publisher: Springer London Publication: October 22, 2013
Imprint: Springer Language: English
Author: Boško S. Jovanović, Endre Süli
ISBN: 9781447154600
Publisher: Springer London
Publication: October 22, 2013
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer London

Cover of the book Quasi-Dimensional Simulation of Spark Ignition Engines by Boško S. Jovanović, Endre Süli
Cover of the book Control of Surge in Centrifugal Compressors by Active Magnetic Bearings by Boško S. Jovanović, Endre Süli
Cover of the book Cancer: Palliative Care by Boško S. Jovanović, Endre Süli
Cover of the book The Anticipation of Converging Industries by Boško S. Jovanović, Endre Süli
Cover of the book Statistical Treatment of Turbulent Polydisperse Particle Systems by Boško S. Jovanović, Endre Süli
Cover of the book Designing Socially Embedded Technologies in the Real-World by Boško S. Jovanović, Endre Süli
Cover of the book Future Wireless and Optical Networks by Boško S. Jovanović, Endre Süli
Cover of the book Phenotypes and Genotypes by Boško S. Jovanović, Endre Süli
Cover of the book Fish Oil and Vascular Disease by Boško S. Jovanović, Endre Süli
Cover of the book Diagnostic Imaging of the Nose and Paranasal Sinuses by Boško S. Jovanović, Endre Süli
Cover of the book Reproductive Surgery in Assisted Conception by Boško S. Jovanović, Endre Süli
Cover of the book Extremum-Seeking Control and Applications by Boško S. Jovanović, Endre Süli
Cover of the book Female Genital Tract Congenital Malformations by Boško S. Jovanović, Endre Süli
Cover of the book Adaptive Dynamic Programming for Control by Boško S. Jovanović, Endre Süli
Cover of the book Closing the Gap by Boško S. Jovanović, Endre Süli
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy