Mathematical Geosciences

Hybrid Symbolic-Numeric Methods

  • Joseph L. Awange
  • Béla Paláncz
  • Robert H.  Lewis
  • Lajos Völgyesi

Table of contents

  1. Front Matter
    Pages i-xxvii
  2. Solution of Nonlinear Systems

    1. Front Matter
      Pages 1-1
    2. Joseph L. Awange, Béla Paláncz, Robert H. Lewis, Lajos Völgyesi
      Pages 3-40
    3. Joseph L. Awange, Béla Paláncz, Robert H. Lewis, Lajos Völgyesi
      Pages 41-76
    4. Joseph L. Awange, Béla Paláncz, Robert H. Lewis, Lajos Völgyesi
      Pages 77-110
  3. Optimization of Systems

    1. Front Matter
      Pages 111-111
    2. Joseph L. Awange, Béla Paláncz, Robert H. Lewis, Lajos Völgyesi
      Pages 113-136
    3. Joseph L. Awange, Béla Paláncz, Robert H. Lewis, Lajos Völgyesi
      Pages 137-166
    4. Joseph L. Awange, Béla Paláncz, Robert H. Lewis, Lajos Völgyesi
      Pages 167-184
    5. Joseph L. Awange, Béla Paláncz, Robert H. Lewis, Lajos Völgyesi
      Pages 185-206
    6. Joseph L. Awange, Béla Paláncz, Robert H. Lewis, Lajos Völgyesi
      Pages 207-241
  4. Approximation of Functions and Data

    1. Front Matter
      Pages 243-243
    2. Joseph L. Awange, Béla Paláncz, Robert H. Lewis, Lajos Völgyesi
      Pages 245-278
    3. Joseph L. Awange, Béla Paláncz, Robert H. Lewis, Lajos Völgyesi
      Pages 279-320
    4. Joseph L. Awange, Béla Paláncz, Robert H. Lewis, Lajos Völgyesi
      Pages 321-357
    5. Joseph L. Awange, Béla Paláncz, Robert H. Lewis, Lajos Völgyesi
      Pages 359-404
    6. Joseph L. Awange, Béla Paláncz, Robert H. Lewis, Lajos Völgyesi
      Pages 405-515
    7. Joseph L. Awange, Béla Paláncz, Robert H. Lewis, Lajos Völgyesi
      Pages 517-557
    8. Joseph L. Awange, Béla Paláncz, Robert H. Lewis, Lajos Völgyesi
      Pages 559-596

About this book

Introduction

This book showcases powerful new hybrid methods that combine numerical and symbolic algorithms. Hybrid algorithm research is currently one of the most promising directions in the context of geosciences mathematics and computer mathematics in general.

One important topic addressed here with a broad range of applications is the solution of multivariate polynomial systems by means of resultants and Groebner bases. But that’s barely the beginning, as the authors proceed to discuss genetic algorithms, integer programming, symbolic regression, parallel computing, and many other topics.

The book is strictly goal-oriented, focusing on the solution of fundamental problems in the geosciences, such as positioning and point cloud problems. As such, at no point does it discuss purely theoretical mathematics.

"The book delivers hybrid symbolic-numeric solutions, which are a large and growing area at the boundary of mathematics and computer science." Dr. Daniel Li

chtbau

Keywords

Numeric-symbilic Methods Global Optimization Data Modeling Parallel Computation Cloud Computing

Authors and affiliations

  • Joseph L. Awange
    • 1
  • Béla Paláncz
    • 2
  • Robert H.  Lewis
    • 3
  • Lajos Völgyesi
    • 4
  1. 1.Spatial SciencesCurtin UniversityPerthAustralia
  2. 2.Budapest University of Technology and EconomicsBudapestHungary
  3. 3.Fordham UniversityNew YorkUSA
  4. 4.Budapest University of Technology and EconomicsBudapestHungary

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-67371-4
  • Copyright Information Springer International Publishing AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Earth and Environmental Science
  • Print ISBN 978-3-319-67370-7
  • Online ISBN 978-3-319-67371-4
  • About this book