A Local Discontinuous Galerkin Method for the Complex Modified KdV Equation

Journal Article · Thu Sep 30 00:00:00 EDT 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3498555· OSTI ID:21428614

Wenting, Li; Kun, Jiang ^[1]

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1. School of Mathematical Sciences, Heilongjiang University, Haerbin 150080 (China)

In this paper, we develop a local discontinuous Galerkin(LDG) method for solving complex modified KdV(CMKdV) equation. The LDG method has the flexibility for arbitrary h and p adaptivity. We prove the L{sup 2} stability for general solutions.

• OSTI ID: 21428614
• Journal Information: AIP Conference Proceedings, Vol. 1281, Issue 1; Conference: ICNAAM 2010: International conference of numerical analysis and applied mathematics 2010, Rhodes (Greece), 19-25 Sep 2009; Other Information: DOI: 10.1063/1.3498555; (c) 2010 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CONVECTION
KORTEWEG-DE VRIES EQUATION
MATHEMATICAL SOLUTIONS
PLASMA WAVES
SOLITONS
STABILITY
DIFFERENTIAL EQUATIONS
ENERGY TRANSFER
EQUATIONS
HEAT TRANSFER
MASS TRANSFER
PARTIAL DIFFERENTIAL EQUATIONS
QUASI PARTICLES