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.Progress and Prospects Ulrich Langer, Peter Paule ... Following Colella, researches in parallel computation at the University of California at Berkeley, who include David Patterson ... A subject on the boundary not included is computational number theory. ... Symbolic Modelsa [http://www.math.ncsu.edu/ kaltofen/bibliography/07/SNSC07.pdf] at 4th International Conference on Symbolic and Numerical Scientific Computing SNSC a#39;08 at RISC Linz, Hagenberg, Austria, on July 24, 2008.
|Title||:||Numerical and Symbolic Scientific Computing|
|Author||:||Ulrich Langer, Peter Paule|
|Publisher||:||Springer Science & Business Media - 2011-11-19|