Splitting methods for partial differential equations with rough solutions
Subtitle: analysis and MATLAB programs
By: Helge Holden ... [et al.].
Series: EMS series of lectures in mathematics; EMS series of lectures in mathematics
Publisher: European Mathematical Society; Distributed within the Americas by the American Mathematical Society]
Published: 2010
Place of publication: Zürich; [Providence, R.I
Language: eng
Number of pages: 226
ISBN-13: 9783037190784
Subjects: Nonlinear Differential equations; Partial Differential equations
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.
Notes: Includes bibliographical references (p. [201]-223) and index.