an:00022516
Zbl 0736.65074
Funaro, Daniele; Gottlieb, David
Convergence results for pseudospectral approximations of hyperbolic systems by a penalty-type boundary treatment
EN
Math. Comput. 57, No. 196, 585-596 (1991).
00006444
1991
j
65M70 65M15 35L45
penalty-type; boundary treatment; collocation; pseudospectral approximation; constant coefficient hyperbolic systems; error estimates; pseudospectral Legendre method
A new method of imposing boundary conditions in the pseudospectral approximation of a scalar hyperbolic equation is presented. The idea is to collocate the equation at the boundary points as well as in the inner grid points, using the boundary conditions as penalty terms. This technique is extended to general constant coefficient hyperbolic systems of equations. Error estimates for the pseudospectral Legendre method are given.
W.Heinrichs (D??sseldorf)