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Semi-Analytical ERKN Integrators for Solving High-Dimensional Nonlinear Wave Equations

In: Geometric Integrators for Differential Equations with Highly Oscillatory Solutions

Author

Listed:
  • Xinyuan Wu

    (Nanjing University, Department of Mathematics)

  • Bin Wang

    (Xi’an Jiaotong University, School of Mathematics and Statistics)

Abstract

Incorporating the operator-variation-of-constants formula for high-dimensional nonlinear wave equations with Fast Fourier Transform techniques in this chapter, we present a class of semi-analytical ERKN integrators, which can nearly preserve the spatial continuity as well as the oscillations of the underlying nonlinear waves equations.

Suggested Citation

  • Xinyuan Wu & Bin Wang, 2021. "Semi-Analytical ERKN Integrators for Solving High-Dimensional Nonlinear Wave Equations," Springer Books, in: Geometric Integrators for Differential Equations with Highly Oscillatory Solutions, chapter 0, pages 427-458, Springer.
    • Handle: RePEc:spr:sprchp:978-981-16-0147-7_13
    DOI: 10.1007/978-981-16-0147-7_13
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