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Splitting Methods for Partial Differential Equations with Rough Solutions
Helge HoldenKenneth Hvistendahl KarlsenKnut-Andreas LieNils Henrik Risebro
其他書名
Analysis and MATLAB Programs
出版European Mathematical Society, 2010
主題MATHEMATICS / CalculusMATHEMATICS / Mathematical Analysis
ISBN30371957899783037195789
URLhttp://books.google.com.hk/books?id=EP27DAEACAAJ&hl=&source=gbs_api
註釋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.