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.
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.
"[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
"[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
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