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Galerkin methods and L2-error estimates for hyperbolic integro-differential equations |
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| Authors: | J. R. Cannon Yanping Lin Chong-Yuan Xie |
| Affiliation: | (1) Mathematics Department Lamar University, Box 10047, 77710 Beaumont, TX;(2) Department of Applied Mathematics, University of Waterloo, N2L 3G1 Waterloo, Ontario, Canada;(3) Department of Mathematics Shenyang College of Metallurgical Machinery, Shenyang, People's Republic of China |
| Abstract: | In this paper we shall study Galerkin approximations to the solution of linear second-order hyperbolic integro-differential equations. The continuous and Crank-Nicolson discrete time Galerkin procedures will be defined and optimal error estimates for these procedures are demonstrated by using a “non-classical” elliptic projection. |
| Keywords: | 65J10 65N30 |
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