Numerical and Symbolic Scientific Computing
Subtitle: Progress and Prospects
By: edited by Ulrich Langer, Peter Paule
Contributors: Paule, Peter; SpringerLink (Online service)
Series: Texts and Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria -- 1
Publisher: Springer-Verlag/Wien
Published: 2012
Place of publication: Vienna
Language: eng
Format: [electronic resource] :
ISBN-13: 9783709107935; 9783709107942
Subjects: Appl.Mathematics/Computational Methods of Engineering; Engineering mathematics; Computational Mathematics and Numerical Analysis; Algebra; Mathematics; Computer science
Description: 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.