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• W2078174939 abstract "In this paper, mixed problems for systems of partial differential equations of the type u tt = C ( t ) u xx , 0 < x < d , t < 0, where C ( t ) is a continuously differentiable R r × r valued symmetric positive definite matrix function and u ( x , t ) is a R r - valued vector are considered. First, uniqueness of solutions and the existence of an exact series solution is proved using a matrix separation of variables technique. Given an admissible error ϵ and a bounded subdomain D ( b ) = {( x , t ); 0 ≤ x ≤ d ; 0 ≤ t ≤ b }, a continuous numerical solution is constructed so that the approximation error is less than ϵ uniformly for ( x , t ) in D ( b )." @default.
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• W2078174939 date "1997-10-01" @default.
• W2078174939 modified "2023-09-29" @default.
• W2078174939 title "Exact and approximate solutions with a priori error bounds for systems of time-dependent wave equations" @default.
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• W2078174939 doi "https://doi.org/10.1016/s0895-7177(97)00182-9" @default.
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