Global Error Bounds of One-Stage Explicit ERKN Integrators for SemilinearWave Equations

Xinyuan Wu () and Bin Wang ()
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Xinyuan Wu: Nanjing University, Department of Mathematics
Bin Wang: Xi’an Jiaotong University, School of Mathematics and Statistics

Chapter Chapter 7 in Geometric Integrators for Differential Equations with Highly Oscillatory Solutions, 2021, pp 213-233 from Springer

Abstract: Abstract In this chapter, we analyse global error bounds for one-stage explicit extended Runge–Kutta–Nyström integrators for semilinear wave equations with periodic boundary conditions. We show optimal second-order convergence without requiring Lipschitz continuity and higher regularity of the exact solution.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-16-0147-7_7

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DOI: 10.1007/978-981-16-0147-7_7

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