This book presents the main themes, techniques, and applications of geometric integrators for researchers in mathematics, physics, astronomy, and chemistry and offers a bridge from traditional training in the numerical analysis of differential equations to understanding recent, advanced research literature on numerical geometric integration.
This book presents the main themes, techniques, and applications of geometric integrators for researchers in mathematics, physics, astronomy, and chemistry and offers a bridge from traditional training in the numerical analysis of differential equations to understanding recent, advanced research literature on numerical geometric integration.
Sergio Blanes is a Professor of Applied Mathematics at Universitat Politècnica de València, Spain. He earned his PhD in Theoretical Physics from the Universitat de València in 1998. Following this, he held postdoctoral research positions at the University of Cambridge, the University of Bath, and the University of California, San Diego. In 2002, he was awarded a Ramón y Cajal Research Fellowship. He was also a visiting researcher at the Isaac Newton Institute in 2019. His research interests include geometric numerical integration and computational mathematics and physics. Fernando Casas is a Professor of Applied Mathematics at Universitat Jaume I in Castellón, Spain. He has served as a Visiting Research Associate at the University of Maryland, College Park, and as a Temporary Assistant Research Scientist at Texas A&M University at Qatar. In 2018, he held the Lebesgue Chair (Senior Position) at the Centre Henri Lebesgue, Université de Rennes. His primary research interests lie in the numerical analysis of differential equations and geometric numerical integration.
Inhaltsangabe
Preface to the First Edition. Preface to the Second Edition. 1 What is geometric numerical integration?. 2 Classical integrators and preservation of properties. 3 Splitting and composition methods. 4 Other types of geometric numerical integrators. 5 Long-time behavior of geometric integrators. 6 Time-splitting methods for PDEs of evolution. 7 Geometric integrators in action: other relevant applications. A Additional mathematical results. Bibliography. Index.
Preface to the First Edition. Preface to the Second Edition. 1 What is geometric numerical integration?. 2 Classical integrators and preservation of properties. 3 Splitting and composition methods. 4 Other types of geometric numerical integrators. 5 Long-time behavior of geometric integrators. 6 Time-splitting methods for PDEs of evolution. 7 Geometric integrators in action: other relevant applications. A Additional mathematical results. Bibliography. Index.
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