Numerical and Symbolic Scientific Computing

Abstract

The book presents the state of the art, new results, and it also includesarticles pointing to future developments. Most of the articles centeraround the theme of partial differential equations. Major aspectsare fast solvers in elastoplasticity, symbolic analysis for boundaryproblems, symbolic treatment of operators, computer algebra, andfinite element methods, a symbolic approach to finite differenceschemes, cylindrical algebraic decomposition and local Fourier analysis,and white noise analysis for stochastic partial differential equations.Further numerical-symbolic topics range from applied and computationalgeometry to computer algebra methods used for total variation energyminimization.