Sergio Blanes, Fernando Casas

A Concise Introduction to Geometric Numerical Integration (eBook, PDF)

• Format: PDF

Produktbeschreibung

This introductory book presents the main themes, techniques, and applications of geometric integrators for researchers in mathematics, physics, astronomy, and chemistry who are already familiar with numerical tools for solving differential equations. It also offers a bridge from traditional training in the numerical analysis of differential equations to understanding recent and advanced research literature on numerical geometric integration. Readers can reproduce the figures and results given in the text using the MATLAB® programs and model files available online.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 230
• Erscheinungstermin: 22. November 2017
• Englisch
• ISBN-13: 9781482263442
• Artikelnr.: 45435203

Autorenporträt

Sergio Blanes is an associate professor of applied mathematics at the Universitat Politècnica de València. He is also editor of The Journal of Geometric Mechanics. He was a postdoc researcher at the University of Cambridge, University of Bath, and University of California, San Diego. His research interests include geometric numerical integration and computational mathematics and physics.

Fernando Casas is a professor of applied mathematics at the Universitat Jaume I. His research focuses on geometric numerical integration, including the design and analysis of splitting and composition methods for differential equations and their applications, Lie group methods, perturbation techniques, and the algebraic issues involved.

Inhaltsangabe

What is geometric numerical integration? Classical integrators and preservation of properties. Splitting and composition methods. Other types of geometric numerical integrators. Long-time behavior of geometric integrators. Time-splitting methods for PDEs of evolution. Appendix. Bibliography. Index.

Rezensionen

"[A Concise Introduction to Geometric Numerical Integration] is highly recommended for graduate students, postgraduate researchers, and researchers interested in beginning study in the field of geometric numerical integration."

- David Cohen, Mathematical Reviews, November 2017