High-Order Finite Difference and Finite Element Methods for Solving Some Partial Differential Equations (eBook, PDF)

High-Order Finite Difference and Finite Element Methods for Solving Some Partial Differential Equations (eBook, PDF)

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This monograph is intended for graduate students, researchers and teachers. It is devoted to the construction of high-order schemes of the finite difference method and the finite element method for the solution of multidimensional boundary value problems for various partial differential equations, in particular, linear Helmholtz and wave equations, and nonlinear Burgers' equation. The finite difference method is a standard numerical method for solving boundary value problems. Recently, considerable attention has been paid to constructing an accurate (or exact) difference approximation for some...

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