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Numerical and Symbolic Scientific Computing : Progress and Prospects - Ulrich Langer

Numerical and Symbolic Scientific Computing

Progress and Prospects

By: Ulrich Langer, Peter Paule

eText | 19 November 2011

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The book presents the state of the art and results and also includes articles pointing to future developments. Most of the articles center around the theme of linear partial differential equations. Major aspects are fast solvers in elastoplasticity, symbolic analysis for boundary problems, symbolic treatment of operators, computer algebra, and finite element methods, a symbolic approach to finite difference schemes, cylindrical algebraic decomposition and local Fourier analysis, and white noise analysis for stochastic partial differential equations. Further numerical-symbolic topics range from applied and computational geometry to computer algebra methods used for total variation energy minimization.

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