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Highly Oscillatory Problems
Language: en
Pages: 254
Authors: Bjorn Engquist
Categories: Mathematics
Type: BOOK - Published: 2009-07-02 - Publisher: Cambridge University Press

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Review papers from experts in areas of active research into highly oscillatory problems, with an emphasis on computation.
Riemann-Hilbert Problems, Their Numerical Solution, and the Computation of Nonlinear Special Functions
Language: en
Pages: 370
Authors: Thomas Trogdon
Categories: Mathematics
Type: BOOK - Published: 2015-12-22 - Publisher: SIAM

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Riemann?Hilbert problems are fundamental objects of study within complex analysis. Many problems in differential equations and integrable systems, probability a
An Efficient Numerical Method for Highly Oscillatory Ordinary Differential Equations
Language: en
Pages: 288
Authors: Linda Ruth Petzold
Categories: Eigenvalues
Type: BOOK - Published: 1978 - Publisher:

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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
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