On the Use of the Gautschi-Type Exponential Integrator for Wave Equations

Volker Grimm ()
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Volker Grimm: Heinrich-Heine-Universität, Mathematisches Institut, Lehrstuhl für Angewandte Mathematik, Universitätsstraσe 1

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 557-563 from Springer

Abstract: Abstract Wave equations are especially challenging for numerical integratorss since the solution is often not smooth and there is no smoothing in time. The largest usable step size of standard integrators, as for example the often used Störmer- Verlet-Leap-Frog-scheme, depends on the space discretisation. The better the approximation in space, the smaller the required step size of the integrator. The presented exponential integrator allows for error bounds independent of the space discretisation but only dependent on constants arising from the original problem. This favourable property is demonstrated with the Sine-Gordon equation.

Keywords: Error Bound; Space Discretisation; Global Error; Gordon Equation; Exponential Integrator (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-34288-5_52

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DOI: 10.1007/978-3-540-34288-5_52

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