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

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

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...

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Weitere Verfasser: Holden, Helge (BerichterstatterIn), Hvistendahl Karlsen, Kenneth (BerichterstatterIn), Lie, Knut-Andreas (BerichterstatterIn), Risebro, Nils Henrik (BerichterstatterIn)
Format: UnknownFormat
Sprache:eng
Veröffentlicht: Zürich European Mathematical Society 2010
Schriftenreihe:EMS series of lectures in mathematics
Schlagworte:
Differential equations, Partial > Differential equations, Nonlinear > Nichtlineare partielle Differentialgleichung > Operator-Splitting-Verfahren
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Zusammenfassung: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
Beschreibung:Literaturverz. S. [201] - 223
Beschreibung:VIII, 226 S.
Ill., graph. Darst.
ISBN:9783037190784
978-3-03719-078-4