Mathematical geosciences : hybrid symbolic-numeric methods / Joseph L. Awange, Béla Paláncz, Robert H. Lewis, Lajos Völgyesi.
2018
QE33.2.M3
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Title
Mathematical geosciences : hybrid symbolic-numeric methods / Joseph L. Awange, Béla Paláncz, Robert H. Lewis, Lajos Völgyesi.
Author
Awange, Joseph L., author.
ISBN
9783319673714 (electronic book)
3319673718 (electronic book)
9783319673707
331967370X
3319673718 (electronic book)
9783319673707
331967370X
Published
Cham : Springer, 2018.
Language
English
Description
1 online resource (xxvii, 596 pages) : illustrations.
Item Number
10.1007/978-3-319-67371-4 doi
Call Number
QE33.2.M3
Dewey Decimal Classification
550.1/51
Summary
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.
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Digital File Characteristics
text file PDF
Series
Mathematical geosciences.
Available in Other Form
Print version: 9783319673707
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Table of Contents
Solution of algebraic polynomial systems
Homotopy solution of nonlinear systems
Over and underdeterminated systems
Simulated annealing
Genetic algorithm
Particle swarm optimization
Integer programming
Multiobjective optimization
Approximation with radial bases functions
Support vector machines (SVM)
Symbolic regression
Quantile regression
Robust regression
Stochastic modeling
Parallel computations.
Homotopy solution of nonlinear systems
Over and underdeterminated systems
Simulated annealing
Genetic algorithm
Particle swarm optimization
Integer programming
Multiobjective optimization
Approximation with radial bases functions
Support vector machines (SVM)
Symbolic regression
Quantile regression
Robust regression
Stochastic modeling
Parallel computations.