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Geometric Numerical Integration [: Structure-Preserving Algorithms for Ordinary Differential Equations

Springer Berlin Heidelberg 2002

Monografía

monografia Rebiun02829302 https://catalogo.rebiun.org/rebiun/record/Rebiun02829302 cr|||||||||||| 130217s2002 gw | s |||| 0|eng d 9783662050187 978-3-662-05018-7 10.1007/978-3-662-05018-7 doi UPNA0142164 UPCT u336804 ES-MaCSI. spa. Springer Hairer, Ernst author Geometric Numerical Integration Recurso electrónico] : Structure-Preserving Algorithms for Ordinary Differential Equations by Ernst Hairer, Gerhard Wanner, Christian Lubich Berlin, Heidelberg Springer Berlin Heidelberg Imprint: Springer 2002 Berlin, Heidelberg Berlin, Heidelberg Springer Berlin Heidelberg Imprint: Springer XIII, 515 p. online resource XIII, 515 p. Springer Series in Computational Mathematics 0179-3632 31 I. Examples and Numerical Experiments -- II. Numerical Integrator -- III. Order-Conditions, Trees, and B-Series -- IV. Conservation of First Integrals and Methods on Manifolds -- V. Symmetric Integration and Reversibility -- VI. Symplectic Integration of Hamiltonian Systems -- VII. Further Topics in Structure Preservation. - VIII. Structure-Preserving Implementation -- IX. Backward Error Analysis and Structure Preservation -- X. Hamiltonian Perturbation Theory and Symplectic Integrators -- XI. Reversible Perturbation Theory and Symmetric Integrators -- XII. Dissipatively Perturbed Hamiltonian and Reversible Systems -- XIII. Highly Oscillatory Differential Equations -- XIV. Dynamics of Multistep Methods -- Bibliography Reproducción electrónica Analysis Global analysis (Mathematics) Mathematical Methods in Physics Mathematical and Computational Biology Mathematical physics Mathematics Numerical Analysis Numerical analysis Numerical and Computational Physics Theoretical, Mathematical and Computational Physics Lubich, Christian. author Wanner, Gerhard author SpringerLink (Online service) Springer series in computational mathematics 0179-3632 31

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Formato:

Título:

Geometric Numerical Integration [ Recurso electrónico] : Structure-Preserving Algorithms for Ordinary Differential Equations / by Ernst Hairer, Gerhard Wanner, Christian Lubich

Editorial:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2002

Descripción física:

XIII, 515 p. : online resource

Tipo Audiovisual:

Analysis

Global analysis (Mathematics)

Mathematical Methods in Physics

Mathematical and Computational Biology

Mathematical physics

Mathematics

Numerical Analysis

Numerical analysis

Numerical and Computational Physics

Theoretical, Mathematical and Computational Physics

Mención de serie:

Springer Series in Computational Mathematics, 0179-3632 ; 31

Contenido:

I. Examples and Numerical Experiments -- II. Numerical Integrator -- III. Order-Conditions, Trees, and B-Series -- IV. Conservation of First Integrals and Methods on Manifolds -- V. Symmetric Integration and Reversibility -- VI. Symplectic Integration of Hamiltonian Systems -- VII. Further Topics in Structure Preservation. - VIII. Structure-Preserving Implementation -- IX. Backward Error Analysis and Structure Preservation -- X. Hamiltonian Perturbation Theory and Symplectic Integrators -- XI. Reversible Perturbation Theory and Symmetric Integrators -- XII. Dissipatively Perturbed Hamiltonian and Reversible Systems -- XIII. Highly Oscillatory Differential Equations -- XIV. Dynamics of Multistep Methods -- Bibliography

ISBN:

9783662050187 978-3-662-05018-7

Autores: