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- W2071468401 abstract "A general strategy for formulating numerical schemes for solving boundary value problems (BVP) and initial BVP (IBVP) is presented. Using this strategy it is possible to formulate three point numerical schemes for a BVP which are accurate to any order of the spatial interval. It can be shown that when this idea is applied to a general IBVP, schemes which are one step in time and three points in space can be obtained to any order of accuracy. Although this paper deals mainly with the linear case, this method can be extended to any nonlinear IBVP. One of the important features of this approach is that usually it has some free parameters and therefore the numerical scheme can be adjusted or tuned according to some additional requirements or restrictions. Some new schemes are derived and applied to linear equations, with different types of boundary conditions." @default.
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- W2071468401 date "1986-07-01" @default.
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- W2071468401 title "High-Order Three Point Schemes for Boundary Value Problems I. Linear Problems" @default.
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- W2071468401 doi "https://doi.org/10.1137/0907063" @default.
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