Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations

Xinyuan Wu () and Bin Wang ()
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Xinyuan Wu: Nanjing University, Department of Mathematics
Bin Wang: Qufu Normal University, School of Mathematical Sciences

in Springer Books from Springer

Date: 2018
ISBN: 978-981-10-9004-2
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Chapters in this book:

Ch Chapter 1 Functionally Fitted Continuous Finite Element Methods for Oscillatory Hamiltonian Systems

Xinyuan Wu and Bin Wang

Ch Chapter 10 An Energy-Preserving and Symmetric Scheme for Nonlinear Hamiltonian Wave Equations

Xinyuan Wu and Bin Wang

Ch Chapter 11 Arbitrarily High-Order Time-Stepping Schemes for Nonlinear Klein–Gordon Equations

Xinyuan Wu and Bin Wang

Ch Chapter 12 An Essential Extension of the Finite-Energy Condition for ERKN Integrators Solving Nonlinear Wave Equations

Xinyuan Wu and Bin Wang

Ch Chapter 2 Exponential Average-Vector-Field Integrator for Conservative or Dissipative Systems

Xinyuan Wu and Bin Wang

Ch Chapter 3 Exponential Fourier Collocation Methods for First-Order Differential Equations

Xinyuan Wu and Bin Wang

Ch Chapter 4 Symplectic Exponential Runge–Kutta Methods for Solving Nonlinear Hamiltonian Systems

Xinyuan Wu and Bin Wang

Ch Chapter 5 High-Order Symplectic and Symmetric Composition Integrators for Multi-frequency Oscillatory Hamiltonian Systems

Xinyuan Wu and Bin Wang

Ch Chapter 6 The Construction of Arbitrary Order ERKN Integrators via Group Theory

Xinyuan Wu and Bin Wang

Ch Chapter 7 Trigonometric Collocation Methods for Multi-frequency and Multidimensional Oscillatory Systems

Xinyuan Wu and Bin Wang

Ch Chapter 8 A Compact Tri-Colored Tree Theory for General ERKN Methods

Xinyuan Wu and Bin Wang

Ch Chapter 9 An Integral Formula Adapted to Different Boundary Conditions for Arbitrarily High-Dimensional Nonlinear Klein–Gordon Equations

Xinyuan Wu and Bin Wang

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DOI: 10.1007/978-981-10-9004-2

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