Numerical and Symbolic Scientific Computing Progress and Prospects /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Langer, Ulrich (Editor), Paule, Peter (Editor)
• Format: Electronic eBook
• Language: English
• Published: Vienna : Springer Vienna : Imprint: Springer, 2012.
• Series: Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria,
• Subjects: Mathematics.; Algebra.; Computer mathematics.; Applied mathematics.; Engineering mathematics.; Computational Mathematics and Numerical Analysis.; Appl.Mathematics/Computational Methods of Engineering.
• Physical Description: VIII, 358 p. 50 illus., 13 illus. in color. online resource.
• ISBN: 9783709107942
• ISSN: 0943-853X

The book presents the state of the art, new results, and it also includes articles pointing to future developments. Most of the articles center around the theme of 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.