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Applied Mathematics and Computation, 1986
A Galerkin method using Whittaker cardinal or ''sinc'' functions as basis functions is described for the solution of boundary value problems. When the solution is analytic in the interior of the domain, the error of approximation using \(2N+1\) points is \(O(e^{-\gamma N^{1/2}})\) even if derivatives of the solution are singular at the boundaries.
Schaffer, Steve, Stenger, Frank
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A Galerkin method using Whittaker cardinal or ''sinc'' functions as basis functions is described for the solution of boundary value problems. When the solution is analytic in the interior of the domain, the error of approximation using \(2N+1\) points is \(O(e^{-\gamma N^{1/2}})\) even if derivatives of the solution are singular at the boundaries.
Schaffer, Steve, Stenger, Frank
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On MGR$[\nu ]$ Multigrid Methods
SIAM Journal on Numerical Analysis, 1987Zur Lösung der Diffusionsgleichung \(-\nabla \cdot p(x,y)\nabla u=f\) in \(\Omega\), \(u=0\) auf \(\partial \Omega\) unter der Voraussetzung p(x,y)\(\geq p_ 0>0\) in einem Gebiet \(\Omega\), welches beschränkt und stückweise glatt berandet oder polygonal mit Seitensteigungen \(\pm 1\), 0 oder \(\infty\) ist, wird die Fünf-Punkte ...
Kamowitz, David, Parter, Seymour V.
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UNSTRUCTURED MULTIGRID METHOD FOR SHELLS
International Journal for Numerical Methods in Engineering, 1996Summary: An accelerated multigrid method, which exploits shell element formulation to speed up the iterative process, is developed for inherently poor conditioned thin domain problems on unstructured grids. Its building blocks are: (i) intergrid transfer operators based on the shell element shape functions, (ii) heavy smoothing procedures in the form ...
Fish, J., Pan, L., Belsky, V., Gomaa, S.
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1991
Invited Papers.- Multigrid Methods for Steady Euler- and Navier-Stokes Equations Based on Polynomial Flux-Difference Splitting.- Recent Developments for the PSMG Multiscale Method.- An adaptive multigrid approach for the solution of the 2D semiconductor equations.- Multiscale Monte Carlo Algorithms in Statistical Mechanics and Quantum Field Theory ...
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Invited Papers.- Multigrid Methods for Steady Euler- and Navier-Stokes Equations Based on Polynomial Flux-Difference Splitting.- Recent Developments for the PSMG Multiscale Method.- An adaptive multigrid approach for the solution of the 2D semiconductor equations.- Multiscale Monte Carlo Algorithms in Statistical Mechanics and Quantum Field Theory ...
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1997
Multigrid methods have proved to be among the fastest numerical methods for solving a broad class of problems, from many types of partial differential equations to problems with no continuous origin. On a serial computer, multigrid methods are able to solve a widening class of problems with work equivalent to a few evaluations of the discrete residual (
Jim E. Jones, Stephen F. McCormick
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Multigrid methods have proved to be among the fastest numerical methods for solving a broad class of problems, from many types of partial differential equations to problems with no continuous origin. On a serial computer, multigrid methods are able to solve a widening class of problems with work equivalent to a few evaluations of the discrete residual (
Jim E. Jones, Stephen F. McCormick
openaire +1 more source