Splitting Methods for Partial Differential Equations with Rough Solutions: Analysis and Matlab Programs (EMS Series of Lectures in Mathematics)

by Helge Holden, Kenneth H. Karlsen, and Knut-Andreas Lie

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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.
  • ISBN10 3037190787
  • ISBN13 9783037190784
  • Publish Date 30 April 2010
  • Publish Status Active
  • Publish Country CH
  • Imprint European Mathematical Society
  • Format Paperback
  • Pages 236
  • Language English