Convergence of a second-order scheme for semilinear hyperbolic equations in $2+1$ dimensions
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- by Robert Glassey and Jack Schaeffer PDF
- Math. Comp. 56 (1991), 87-106 Request permission
Abstract:
A second-order energy-preserving scheme is studied for the solution of the semilinear Cauchy Problem ${u_{tt}} - {u_{xx}} - {u_{yy}} + {u^3} = 0\;(t > 0;x,y \in \mathbb {R})$. Smooth data functions of compact support are prescribed at $t = 0$. On any time interval [0, T], second-order convergence (up to logarithmic corrections) to the exact solution is established in both the energy and uniform norms.References
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Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Math. Comp. 56 (1991), 87-106
- MSC: Primary 65M12; Secondary 35L70
- DOI: https://doi.org/10.1090/S0025-5718-1991-1052095-5
- MathSciNet review: 1052095