1.

Record Nr.

UNINA9910299407503321

Autore

Awange Joseph L

Titolo

Mathematical Geosciences : Hybrid Symbolic-Numeric Methods / / by Joseph L. Awange, Béla Paláncz, Robert H. Lewis, Lajos Völgyesi

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018

ISBN

3-319-67371-8

Edizione

[1st ed. 2018.]

Descrizione fisica

1 online resource (XXVII, 596 p. 460 illus., 440 illus. in color.)

Disciplina

550.151

Soggetti

Geology

Mathematical physics

Environmental sciences

Geographical information systems

Atmospheric sciences

Mathematical Applications in the Physical Sciences

Math. Appl. in Environmental Science

Geographical Information Systems/Cartography

Atmospheric Sciences

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

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.

Sommario/riassunto

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.