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Symbolic-Numeric Computation

  • Dongming Wang
  • Lihong Zhi

Part of the Trends in Mathematics book series (TM)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Erich Kaltofen, Zhengfeng Yang, Lihong Zhi
    Pages 69-83
  3. Bingyu Li, Zhuojun Liu, Lihong Zhi
    Pages 85-97
  4. Zilin Du, Vikram Sharma, Chee K. Yap
    Pages 113-129
  5. Hiroshi Sekigawa, Kiyoshi Shirayanagi
    Pages 167-184
  6. Victor Y. Pan, Brian Murphy, Rhys Eric Rosholt, Dmitriy Ivolgin, Yuqing Tang, Xiaodong Yan et al.
    Pages 185-210
  7. David A. Cox
    Pages 211-222
  8. Marc Moreno Maza, Greg J. Reid, Robin Scott, Wenyuan Wu
    Pages 279-298
  9. Ming-Deh Huang, Qing Luo
    Pages 299-313
  10. David J. Jeffrey, Silvana Ilie, James M. Gardiner, Steven W. Campbell
    Pages 349-359
  11. Jichao Zhao, Robert M. Corless, Matt Davison
    Pages 361-374
  12. Majid A. Al-Taee, Fawzi M. Al-Naima, Bessam Al-Jewad
    Pages 375-394
  13. Back Matter
    Pages 395-395

About these proceedings

Introduction

The growing demand of speed, accuracy, and reliability in scientific and engineering computing has been accelerating the merging of symbolic and numeric computations, two types of computation coexisting in mathematics yet separated in traditional research of mathematical computation. This book with 23 chapters presents original research and tutorial survey on the integration and interaction of symbolic and numeric computations. It represents the current state of the art and will serve as a valuable reference on the development of algorithms and software packages for hybrid symbolic-numeric computation.

The book highlights the interaction between symbolic and numeric computations. It contains tutorial surveys by distinguished experts, covers recent advances on key topics, and provides effective methods illustrated with applications.

Keywords

Differential equations GCD computation Gröbner bases Numeric Computation Numeric polynomial algebra Symbolic Computation geometric computation geometry

Editors and affiliations

  • Dongming Wang
    • 1
    • 2
  • Lihong Zhi
    • 3
  1. 1.School of ScienceBeihang UniversityBeijingChina
  2. 2.Laboratoire d’Informatique de Paris 6Université Pierre et Marie Curie - CNRSParisFrance
  3. 3.Key Laboratory of Mathematics MechanizationAcademy of Mathematics and System SciencesBeijingChina

Bibliographic information

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