Finite Difference Schemes for ∂u∂t=(∂∂x)αδGδu That Inherit Energy Conservation or Dissipation Property

Daisuke Furihata

Type: Article

Publication Date: 1999-11-01

Citations: 153

DOI: https://doi.org/10.1006/jcph.1999.6377

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Locations

Journal of Computational Physics - View

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+	<i>Nonlinear Partial Differential Equations in Engineering</i>	1967	W.F. Ames J. Gillis
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+	Conservative numerical methods for	1984	Donald Greenspan
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+	Numerical solution of a nonlinear Klein-Gordon equation	1978	Walter A. Strauss Luis Vázquez
+	Finite Difference Calculus Invariant Structure of a Class of Algorithms for the Nonlinear Klein–Gordon Equation	1995	Shaofan Li L. Vu‐Quoc
+	Numerical Analysis of a Continuum Model of Phase Transition	1991	Qiang Du R. A. Nicolaides
+	Accuracy and conservation properties in numerical integration: the case of the Korteweg-de Vries equation	1997	Javier de Frutos J. M. Sanz‐Serna
+	On Stability of Some Finite Difference Schemes for the Korteweg-de Vries Equation	1975	Katuhiko Goda
+	An explicit finite-difference scheme with exact conservation properties	1982	J. M. Sanz‐Serna