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Geometric Numerical Integration
Language: en
Pages: 526
Authors: Ernst Hairer
Categories: Mathematics
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

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This book deals with numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems wit
A Concise Introduction to Geometric Numerical Integration
Language: en
Pages: 287
Authors: Sergio Blanes
Categories: Mathematics
Type: BOOK - Published: 2017-11-22 - Publisher: CRC Press

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Discover How Geometric Integrators Preserve the Main Qualitative Properties of Continuous Dynamical Systems A Concise Introduction to Geometric Numerical Integr
Simulating Hamiltonian Dynamics
Language: en
Pages: 464
Authors: Benedict Leimkuhler
Categories: Mathematics
Type: BOOK - Published: 2004 - Publisher: Cambridge University Press

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Geometric integrators are time-stepping methods, designed such that they exactly satisfy conservation laws, symmetries or symplectic properties of a system of d
A First Course in the Numerical Analysis of Differential Equations
Language: en
Pages: 481
Authors: A. Iserles
Categories: Mathematics
Type: BOOK - Published: 2009 - Publisher: Cambridge University Press

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lead the reader to a theoretical understanding of the subject without neglecting its practical aspects. The outcome is a textbook that is mathematically honest
Symplectic Geometric Algorithms for Hamiltonian Systems
Language: en
Pages: 690
Authors: Kang Feng
Categories: Mathematics
Type: BOOK - Published: 2010-10-18 - Publisher: Springer Science & Business Media

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"Symplectic Geometric Algorithms for Hamiltonian Systems" will be useful not only for numerical analysts, but also for those in theoretical physics, computation