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- W2079014719 abstract "Integrating and differentiating matrices allow the numerical integration and differentiation of functions whose values are known at points of a discrete grid. Previous derivations of these matrices have been restricted to one-dimensional grids or to rectangular grids with uniform spacing in at least one direction. The present work develops integrating and differentiating matrices for rectangular grids with non-uniform spacing in both directions. The use of these matrices as operators to reformulate boundary-value problems on rectangular domains as matrix problems for a finite-dimensional solution vector is considered. The method requires non-uniform grids which include “near-boundary” points. An eigenvalue problem for the transverse vibrations of a simply-supported rectangular plate is solved to illustrate the method." @default.
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- W2079014719 date "1986-01-01" @default.
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- W2079014719 title "A combined integrating- and differentiating-matrix formulation for boundary-value problems on rectangular domains" @default.
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- W2079014719 doi "https://doi.org/10.1007/bf00038705" @default.
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