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Your search keyword '"Luming ZHANG"' showing total 2 results
Start Over Author "Luming ZHANG" Database Academic Search Index Publisher hindawi limited
2 results on '"Luming ZHANG"'

1. Two Energy Conserving Numerical Schemes for the Klein-Gordon-Zakharov Equations.

Author

Juan Chen and Luming Zhang

Subjects
*MATHEMATICAL models, *ENERGY conservation, *NUMERICAL analysis, *KLEIN-Gordon equation, *BOUNDARY value problems, *STOCHASTIC convergence, *APPLIED mathematics
Abstract

Two new difference schemes are proposed for an initial-boundary-value problem of the Klein-Gordon-Zakharov (KGZ) equations. They have the advantage that there is a discrete energy which is conserved. Their stability and convergence of difference solutions are proved in order O(h² + τ²) on the basis of the prior estimates. Results of numerical experiments demonstrate the efficiency of the new schemes. [ABSTRACT FROM AUTHOR]

Published
2013
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2. Numerical Simulation for General Rosenau-RLW Equation: An Average Linearized Conservative Scheme.

Author

Xintian Pan and Luming Zhang

Subjects
*NUMERICAL analysis, *EQUATIONS, *FINITE differences, *REASONING, *ARGUMENT
Abstract

Numerical solutions for the general Rosenau-RLW equation are considered and an energy conservative linearized finite difference scheme is proposed. Existence of the solutions for the difference scheme has been shown. Stability, convergence, and a priori error estimate of the scheme are proved using energy method. Numerical results demonstrate that the scheme is efficient and reliable. [ABSTRACT FROM AUTHOR]

Published
2012
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