Superconvergence of the orthogonal spline collocation solution of Poisson's equation

Numerical Methods for Partial Differential Equations ◽

10.1002/(sici)1098-2426(199905)15:3<285::aid-num2>3.0.co;2-1 ◽

1999 ◽

Vol 15 (3) ◽

pp. 285-303 ◽

Author(s):

Bernard Bialecki

Keyword(s):

Poisson’S Equation ◽

Spline Collocation ◽

Poisson's Equation ◽

Orthogonal Spline Collocation ◽

Collocation Solution

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Orthogonal spline collocation solution of nonlinear Schrödinger equations

Mathematics of Computation 1943–1993: A Half-Century of Computational Mathematics - Proceedings of Symposia in Applied Mathematics ◽

10.1090/psapm/048/1314870 ◽

1994 ◽

pp. 355-360 ◽

Author(s):

Mark P. Robinson

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Spline Collocation ◽

Nonlinear Schrödinger ◽

Orthogonal Spline Collocation ◽

Nonlinear Schrodinger Equations ◽

Collocation Solution

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A fourth-order orthogonal spline collocation solution to 1D-Helmholtz equation with discontinuity

The Journal of Analysis ◽

10.1007/s41478-018-0082-9 ◽

2018 ◽

Vol 27 (2) ◽

pp. 377-390

Author(s):

Santosh Kumar Bhal ◽

P. Danumjaya

Keyword(s):

Helmholtz Equation ◽

Fourth Order ◽

Spline Collocation ◽

Orthogonal Spline Collocation ◽

Collocation Solution

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A fast solver for the orthogonal spline collocation solution of the biharmonic Dirichlet problem on rectangles

Journal of Computational Physics ◽

10.1016/s0021-9991(03)00342-5 ◽

2003 ◽

Vol 191 (2) ◽

pp. 601-621 ◽

Author(s):

Bernard Bialecki

Keyword(s):

Dirichlet Problem ◽

Spline Collocation ◽

Fast Solver ◽

Orthogonal Spline Collocation ◽

Collocation Solution ◽

Biharmonic Dirichlet Problem

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Modified Nodal Cubic Spline Collocation For Poisson's Equation

SIAM Journal on Numerical Analysis ◽

10.1137/050629033 ◽

2008 ◽

Vol 46 (1) ◽

pp. 397-418 ◽

Author(s):

Abeer Ali Abushama ◽

Bernard Bialecki

Keyword(s):

Cubic Spline ◽

Poisson’S Equation ◽

Spline Collocation ◽

Poisson's Equation ◽

Cubic Spline Collocation

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Tensorial Basis Spline Collocation Method for Poisson's Equation

Journal of Computational Physics ◽

10.1006/jcph.1999.6338 ◽

2000 ◽

Vol 157 (2) ◽

pp. 419-440 ◽

Author(s):

Laurent Plagne ◽

Jean-Yves Berthou

Keyword(s):

Collocation Method ◽

Poisson’S Equation ◽

Spline Collocation ◽

Poisson's Equation ◽

Spline Collocation Method

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FFT-Based High Order Central Difference Schemes for Poisson’s Equation with Staggered Boundaries

Journal of Scientific Computing ◽

10.1007/s10915-020-01379-7 ◽

2021 ◽

Vol 86 (1) ◽

Author(s):

Hongsong Feng ◽

Guangqing Long ◽

Shan Zhao

Keyword(s):

Difference Schemes ◽

Poisson’S Equation ◽

Poisson's Equation ◽

Central Difference

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Extremal Rearrangement Problems Involving Poisson’s Equation with Robin Boundary Conditions

Journal of Scientific Computing ◽

10.1007/s10915-021-01413-2 ◽

2021 ◽

Vol 86 (3) ◽

Author(s):

Chiu-Yen Kao ◽

Seyyed Abbas Mohammadi

Keyword(s):

Boundary Conditions ◽

Poisson’S Equation ◽

Robin Boundary Conditions ◽

Poisson's Equation ◽

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Discretization of Poisson’s equation in two domains with non algebraic interface conditions for plasma simulations

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126179 ◽

2021 ◽

Vol 403 ◽

pp. 126179

Author(s):

Andrea Villa ◽

Luca Barbieri ◽

Roberto Malgesini ◽

Giacomo Buccella

Keyword(s):

Poisson’S Equation ◽

Interface Conditions ◽

Poisson's Equation ◽

Plasma Simulations

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BEM solution of Poisson's equation in two dimensions with polynomial interpolation of the source function

Engineering Analysis with Boundary Elements ◽

10.1016/s0955-7997(96)00043-4 ◽

1996 ◽

Vol 18 (2) ◽

pp. 175-178 ◽

Author(s):

Gilbert De Mey ◽

Radu Suciu ◽

Cǎlin Munteanu ◽

Lieven Matthys

Keyword(s):

Source Function ◽

Polynomial Interpolation ◽

Two Dimensions ◽

Poisson’S Equation ◽

Poisson's Equation

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An implicit interface boundary integral method for Poisson’s equation on arbitrary domains

Journal of Computational Physics ◽

10.1016/j.jcp.2013.03.049 ◽

2013 ◽

Vol 247 ◽

pp. 279-311 ◽

Author(s):

Catherine Kublik ◽

Nicolay M. Tanushev ◽

Richard Tsai

Keyword(s):

Integral Method ◽

Boundary Integral ◽

Poisson’S Equation ◽

Boundary Integral Method ◽

Interface Boundary ◽

Poisson's Equation

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