Essential Partial Differential Equations

Analytical and Computational Aspects

Nonfiction, Science & Nature, Mathematics, Differential Equations, Applied
Cover of the book Essential Partial Differential Equations by David F. Griffiths, John W. Dold, David J. Silvester, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: David F. Griffiths, John W. Dold, David J. Silvester ISBN: 9783319225692
Publisher: Springer International Publishing Publication: September 24, 2015
Imprint: Springer Language: English
Author: David F. Griffiths, John W. Dold, David J. Silvester
ISBN: 9783319225692
Publisher: Springer International Publishing
Publication: September 24, 2015
Imprint: Springer
Language: English

This volume provides an introduction to the analytical and numerical aspects of partial differential equations (PDEs). It unifies an analytical and computational approach for these; the qualitative behaviour of solutions being established using classical concepts: maximum principles and energy methods. Notable inclusions are the treatment of irregularly shaped boundaries, polar coordinates and the use of flux-limiters when approximating hyperbolic conservation laws. The numerical analysis of difference schemes is rigorously developed using discrete maximum principles and discrete Fourier analysis. A novel feature is the inclusion of a chapter containing projects, intended for either individual or group study, that cover a range of topics such as parabolic smoothing, travelling waves, isospectral matrices, and the approximation of multidimensional advection–diffusion problems.

The underlying theory is illustrated by numerous examples and there are around 300 exercises, designed to promote and test understanding. They are starred according to level of difficulty. Solutions to odd-numbered exercises are available to all readers while even-numbered solutions are available to authorised instructors.

Written in an informal yet rigorous style, Essential Partial Differential Equations is designed for mathematics undergraduates in their final or penultimate year of university study, but will be equally useful for students following other scientific and engineering disciplines in which PDEs are of practical importance. The only prerequisite is a familiarity with the basic concepts of calculus and linear algebra.

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

This volume provides an introduction to the analytical and numerical aspects of partial differential equations (PDEs). It unifies an analytical and computational approach for these; the qualitative behaviour of solutions being established using classical concepts: maximum principles and energy methods. Notable inclusions are the treatment of irregularly shaped boundaries, polar coordinates and the use of flux-limiters when approximating hyperbolic conservation laws. The numerical analysis of difference schemes is rigorously developed using discrete maximum principles and discrete Fourier analysis. A novel feature is the inclusion of a chapter containing projects, intended for either individual or group study, that cover a range of topics such as parabolic smoothing, travelling waves, isospectral matrices, and the approximation of multidimensional advection–diffusion problems.

The underlying theory is illustrated by numerous examples and there are around 300 exercises, designed to promote and test understanding. They are starred according to level of difficulty. Solutions to odd-numbered exercises are available to all readers while even-numbered solutions are available to authorised instructors.

Written in an informal yet rigorous style, Essential Partial Differential Equations is designed for mathematics undergraduates in their final or penultimate year of university study, but will be equally useful for students following other scientific and engineering disciplines in which PDEs are of practical importance. The only prerequisite is a familiarity with the basic concepts of calculus and linear algebra.

More books from Springer International Publishing

Cover of the book Arming the Confederacy by David F. Griffiths, John W. Dold, David J. Silvester
Cover of the book Protein Toxins in Modeling Biochemistry by David F. Griffiths, John W. Dold, David J. Silvester
Cover of the book Performative Experience Design by David F. Griffiths, John W. Dold, David J. Silvester
Cover of the book Radio Frequency Identification and IoT Security by David F. Griffiths, John W. Dold, David J. Silvester
Cover of the book Errors-in-Variables Methods in System Identification by David F. Griffiths, John W. Dold, David J. Silvester
Cover of the book Carbon-related Materials in Recognition of Nobel Lectures by Prof. Akira Suzuki in ICCE by David F. Griffiths, John W. Dold, David J. Silvester
Cover of the book The Analysis of Nuclear Materials and Their Environments by David F. Griffiths, John W. Dold, David J. Silvester
Cover of the book Agent Environments for Multi-Agent Systems IV by David F. Griffiths, John W. Dold, David J. Silvester
Cover of the book The Intelligent Marketer’s Guide to Data Privacy by David F. Griffiths, John W. Dold, David J. Silvester
Cover of the book Restoration of Root Canal-Treated Teeth by David F. Griffiths, John W. Dold, David J. Silvester
Cover of the book Migrant Integration in Times of Economic Crisis by David F. Griffiths, John W. Dold, David J. Silvester
Cover of the book Trauma Responsive Child Welfare Systems by David F. Griffiths, John W. Dold, David J. Silvester
Cover of the book Information and Communications Technology in Primary School Education by David F. Griffiths, John W. Dold, David J. Silvester
Cover of the book Advances in Enterprise Engineering XII by David F. Griffiths, John W. Dold, David J. Silvester
Cover of the book Deterministic Abelian Sandpile Models and Patterns by David F. Griffiths, John W. Dold, David J. Silvester
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