Splitting Methods for Partial Differential Equations with Rough Solutions Analysis and MATLAB Programs

Name: Splitting Methods for Partial Differential Equations with Rough Solutions Analysis and MATLAB Programs
Price: 42.95 USD
Availability: InStock
ISBN: 9783037190784

ISBN-10: 3037190787

ISBN-13: 9783037190784

Edition: 2010

Authors: Helge Holden, Kenneth H. Karlsen, Knut-Andreas Lie, Nils Henrik Risebro

List price: $48.00

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Description:

Operator splitting (or the fractional steps method) is a very common tool to analyze nonlinear partial differential equations both numerically and analytically. By applying operator splitting to a complicated model one can often split it into simpler problems that can be analyzed separately. In this book one studies operator splitting for a family of nonlinear evolution equations, including hyperbolic conservation laws and degenerate convection-diffusion equations. Common for these equations is the prevalence of rough, or non-smooth, solutions, e.g., shocks. Rigorous analysis is presented, showing that both semi-discrete and fully discrete splitting methods converge. For conservation laws,…

Book details

List price: $48.00
Copyright year: 2010
Publisher: European Mathematical Society
Publication date: 4/15/2010
Binding: Paperback
Pages: 236
Size: 6.75" wide x 9.25" long x 0.50" tall
Weight: 1.012
Language: English