Energy-Preserving Algorithms for the Benjamin Equation
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DOI: 10.1007/s10915-017-0371-5
Abstract: This paper presents several hybrid algorithms to preserve the global energy of the Benjamin equation. The Benjamin equation is a non-local partial differential equation involving the Hilbert transform. For this sake, quite few structure-preserving integrators… read more here.
Keywords: energy preserving; preserving algorithms; method; equation ... See more keywords
The formulation and analysis of energy-preserving schemes for solving high-dimensional nonlinear Klein–Gordon equations
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DOI: 10.1093/imanum/dry047
Abstract: In this paper we focus on the analysis of energy-preserving schemes for solving high-dimensional nonlinear Klein–Gordon equations. A novel energy-preserving scheme is developed based on the discrete gradient method and the Duhamel principle. The local… read more here.
Keywords: schemes solving; energy; preserving schemes; energy preserving ... See more keywords
A Linear Energy-Preserving Finite Volume Element Method for the Improved Korteweg−de Vries Equation
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DOI: 10.3103/s1541308x18030093
Abstract: In this paper, we introduce a linearized energy-preserving scheme which preserves the discrete global energy of solutions to the improved Korteweg−deVries equation. The method presented is based on the finite volume element method, by resorting… read more here.
Keywords: energy preserving; energy; element method; finite volume ... See more keywords