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math.NA2011★ 20 cited
A numerical method with properties of consistency in the energy domain for a class of dissipative nonlinear wave equations with applications to a Dirichlet boundary-value problem
J. E. Macías-Díaz, A. Puri
In this work, we present a conditionally stable finite-difference scheme that consistently approximates the solution of a general class of (3+1)-dimensional nonlinear equations tha…
math.NA2011★ 5 cited
Two finite-difference schemes that preserve the dissipation of energy in a system of modified wave equations
J. E. Macías-Díaz, S. Jerez-Galiano
In this work, we present two numerical methods to approximate solutions of systems of dissipative sine-Gordon equations that arise in the study of one-dimensional, semi-infinite ar…