Numerical and Symbolic Scientific Computing

Progress and Prospects

  • Ulrich Langer
  • Peter Paule

Part of the Texts & Monographs in Symbolic Computation book series (TEXTSMONOGR)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Martin Aigner, Bert Jüttler, Adrien Poteaux
    Pages 1-19
  3. Sven Beuchler, Veronika Pillwein, Joachim Schöberl, Sabine Zaglmayr
    Pages 21-44
  4. Peter G. Gruber, Johanna Kienesberger, Ulrich Langer, Joachim Schöberl, Jan Valdman
    Pages 45-63
  5. Mădălina Hodorog, Josef Schicho
    Pages 65-94
  6. Erich L. Kaltofen
    Pages 95-104
  7. Christoph Koutschan, Christoph Lehrenfeld, Joachim Schöberl
    Pages 105-121
  8. Markus Rosenkranz, Georg Regensburger, Loredana Tec, Bruno Buchberger
    Pages 273-331

About this book

Introduction

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.

Keywords

applied geometry computational mathematics numerical analysis scientific computing symbolic computation

Editors and affiliations

  • Ulrich Langer
    • 1
  • Peter Paule
    • 2
  1. 1.Inst. Numerische MathematikUniversität LinzLinzAustria
  2. 2., Research Institute for Symbolic ComputatJohannes Kepler UniversityLinzAustria

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-7091-0794-2
  • Copyright Information Springer-Verlag/Wien 2012
  • Publisher Name Springer, Vienna
  • eBook Packages Computer Science
  • Print ISBN 978-3-7091-0793-5
  • Online ISBN 978-3-7091-0794-2
  • Series Print ISSN 0943-853X
  • About this book