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- Engquist, Björn, et al.
(author)
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Particle method approximation of oscillatory solutions to hyperbolic differential equations
- 1989
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In: SIAM Journal on Numerical Analysis. - : Society for Industrial & Applied Mathematics (SIAM). - 0036-1429 .- 1095-7170. ; 26:2, s. 289-319
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Journal article (peer-reviewed)abstract
- Particle methods approximating hyperbolic partial differential equations with oscillatory solutions are studied. Convergence is proved for approximations for which the continuous solution is not well resolved on the computational grid. Highly oscillatory solutions to the Broadwell and variable coefficients Carleman models are considered. Homogenization results are given and the approximations of more general systems are discussed. Numercial exampels are presented
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