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portada Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations
Type
Physical Book
Author
Publisher
Language
English
Pages
345
Format
Paperback
Dimensions
23.4 x 15.6 x 1.9 cm
Weight
0.51 kg.
ISBN13
9789811342967
Categories

Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations

Xinyuan Wu (Author) · Bin Wang (Author) · Springer · Paperback

Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations - Wu, Xinyuan ; Wang, Bin

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Synopsis "Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations"

Functionally fitted continuous finite element methods for oscillatory Hamiltonian system.- Exponential average-vector-field integrator for conservative or dissipative systems.- Exponential Fourier collocation methods for first-order differential Equations.- Symplectic exponential Runge-Kutta methods for solving nonlinear Hamiltonian systems.- High-order symplectic and symmetric composition integrators for multi-frequency oscillatory Hamiltonian systems.- The construction of arbitrary order ERKN integrators via group theory.- Trigonometric collocation methods for multi-frequency and multidimensional oscillatory systems.- A compact tri-colored tree theory for general ERKN methods.- An integral formula adapted to different boundary conditions for arbitrarily high-dimensional nonlinear Klein-Gordon equations.- An energy-preserving and symmetric scheme for nonlinear Hamiltonian wave equations.- Arbitrarily high-order time-stepping schemes for nonlinear Klein-Gordon equations.- An essential extension of the finite-energy condition for ERKN integrators solving nonlinear wave equations.- Index

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