Multistep-Galerkin methods for hyperbolic equations
نویسندگان
چکیده
منابع مشابه
Multistep-Galerkin Methods for Hyperbolic Equations
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 -err...
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Henceforth, it will be assumed that (1.1) has a unique solution U. Precise hypotheses on the required smoothness of the solution will be made when needed. For s a nonnegative integer, let H” = H”(Q) be the Sobolev space W,“(R) of real-valued functions on R and let 11. /Is denote its usual norm. Let fi’ = ii’(Q) = {u E H’ :ulm = 0). Th e inner product on L* = L’(Q) is denoted by (. , .) and the ...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1979
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1979-0521277-5