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Splitting methods for partial differential equations with rough solutions : analysis and MATLAB programs

Author: H Holden; et al
Publisher: Zürich : European Mathematical Society ; [Providence, R.I. : Distributed within the Americas by the American Mathematical Society], ©2010.
Series: EMS series of lectures in mathematics.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:
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  Read more...
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Document Type: Book
All Authors / Contributors: H Holden; et al
ISBN: 3037190787 9783037190784
OCLC Number: 640095737
Description: viii, 226 p. : ill. ; 24 cm.
Series Title: EMS series of lectures in mathematics.
Responsibility: Helge Holden ... [et al.].

Abstract:

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.

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