Multistep-Galerkin Methods for Hyperbolic Equations
نویسندگان
چکیده
Multistep methods for firstand second-order ordinary differential equations are used for the full discretizations of standard Galerkin approximations to the initial-periodic boundary value problem for first-order linear hyperbolic equations in one space dimension and to the initial-boundary value problem for second-order lin2 ear selfadjoint hyperbolic equations in many space dimensions. L -error bounds of optimal order in space and time are achieved for large classes of such multistep methods.
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