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Description: A systematic introduction to partial differential equations and modern finite element methods for their efficient numerical solution Partial Differential Equations and the Finite Element Method provides a much–needed, clear, and systematic introduction to modern theory of partial differential equations (PDEs) and finite element methods (FEM).… (More)

The vortex method for the initial-boundary value problems of the Euler equations for incompressible flow is studied. A boundary correction technique is introduced to generate second order accuracy. Convergence and error estimates are proved.

In the present paper, the authors consider the Schrödinger operator H with the Coulomb potential defined in R 3m , where m is a positive integer. Both bounded domain approximations to multielectron systems and finite element approximations to the helium system are analyzed. The spectrum of H becomes completely discrete when confined to bounded domains. The… (More)

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