A collocation-Galerkin method for a first order hyperbolic equation with space and time dependent coefficient
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- by David Archer and Julio César Díaz PDF
- Math. Comp. 38 (1982), 37-53 Request permission
Abstract:
A collocation-Galerkin scheme is proposed for an initial-boundary value problem for a first order hyperbolic equation in one space dimension. The Galerkin equations satisfied by the approximating solution are obtained from a weak-weak formulation of the initial-boundary value problem. The collocation points are taken to be affine images of the roots of the Jacobian polynomials of degree $r - 1$ on [0, 1] with respect to the weight function $x(1 - x)$. Optimal ${L^\infty }({L^2})$-norm estimates of the error are derived.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Math. Comp. 38 (1982), 37-53
- MSC: Primary 65M60; Secondary 65N35
- DOI: https://doi.org/10.1090/S0025-5718-1982-0637285-X
- MathSciNet review: 637285