Preconditioning cubic spline collocation discretizations of elliptic equations

Sang Dong Kim; Seymour V. Parter

doi:10.1007/s002110050159

Preconditioning cubic spline collocation discretizations of elliptic equations

Numerische Mathematik ◽

10.1007/s002110050159 ◽

1995 ◽

Vol 72 (1) ◽

pp. 39-72 ◽

Cited By ~ 13

Author(s):

Sang Dong Kim ◽

Seymour V. Parter

Keyword(s):

Elliptic Equations ◽

Cubic Spline ◽

Spline Collocation ◽

Cubic Spline Collocation

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Computations on preconditioning cubic spline collocation method of elliptic equations

Korean Journal of Computational & Applied Mathematics ◽

10.1007/bf02941966 ◽

2001 ◽

Vol 8 (2) ◽

pp. 279-294

Author(s):

Yong Hun Lee

Keyword(s):

Collocation Method ◽

Elliptic Equations ◽

Cubic Spline ◽

Spline Collocation ◽

Spline Collocation Method ◽

Cubic Spline Collocation

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Modified nodal cubic spline collocation for elliptic equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20704 ◽

2011 ◽

Vol 28 (6) ◽

pp. 1817-1839 ◽

Cited By ~ 3

Author(s):

Bernard Bialecki ◽

Zhongben Wang

Keyword(s):

Elliptic Equations ◽

Cubic Spline ◽

Spline Collocation ◽

Cubic Spline Collocation

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Finite difference preconditioning cubic spline collocation method of elliptic equations

Numerische Mathematik ◽

10.1007/s002110050279 ◽

1997 ◽

Vol 77 (1) ◽

pp. 83-103 ◽

Cited By ~ 6

Author(s):

Hong Oh Kim ◽

Sang Dong Kim ◽

Yong Hun Lee

Keyword(s):

Finite Difference ◽

Collocation Method ◽

Elliptic Equations ◽

Cubic Spline ◽

Spline Collocation ◽

Spline Collocation Method ◽

Cubic Spline Collocation

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Analysis on eigenvalues for preconditioning cubic spline collocation method of elliptic equations

Linear Algebra and its Applications ◽

10.1016/s0024-3795(00)00321-9 ◽

2001 ◽

Vol 327 (1-3) ◽

pp. 1-15 ◽

Cited By ~ 1

Author(s):

Sang Dong Kim ◽

Yong HunLee

Keyword(s):

Collocation Method ◽

Elliptic Equations ◽

Cubic Spline ◽

Spline Collocation ◽

Spline Collocation Method ◽

Cubic Spline Collocation

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Spectral Analysis of Hermite Cubic Spline Collocation Systems

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142997322722 ◽

1999 ◽

Vol 36 (6) ◽

pp. 1962-1975 ◽

Cited By ~ 13

Author(s):

Weiwei Sun

Keyword(s):

Spectral Analysis ◽

Cubic Spline ◽

Spline Collocation ◽

Cubic Spline Collocation

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High order convergent modified nodal bi‐cubic spline collocation method for elliptic partial differential equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22463 ◽

2020 ◽

Vol 36 (5) ◽

pp. 1028-1043

Author(s):

Suruchi Singh ◽

Swarn Singh

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Collocation Method ◽

Elliptic Partial Differential Equation ◽

Cubic Spline ◽

High Order ◽

Spline Collocation ◽

Partial Differential ◽

Spline Collocation Method ◽

Cubic Spline Collocation

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Modified nodal cubic spline collocation for biharmonic equations

Numerical Algorithms ◽

10.1007/s11075-007-9064-8 ◽

2007 ◽

Vol 43 (4) ◽

pp. 331-353 ◽

Cited By ~ 7

Author(s):

Abeer Ali Abushama ◽

Bernard Bialecki

Keyword(s):

Cubic Spline ◽

Spline Collocation ◽

Biharmonic Equations ◽

Cubic Spline Collocation

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Second-order splitting combined with orthogonal cubic spline collocation method for the Kuramoto-Sivashinsky equation

Computers & Mathematics with Applications ◽

10.1016/s0898-1221(98)00013-3 ◽

1998 ◽

Vol 35 (6) ◽

pp. 5-25 ◽

Cited By ~ 24

Author(s):

A.V. Manickam ◽

K.M. Moudgalya ◽

A.K. Pani

Keyword(s):

Collocation Method ◽

Cubic Spline ◽

Second Order ◽

Spline Collocation ◽

Spline Collocation Method ◽

Cubic Spline Collocation ◽

Sivashinsky Equation

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Cubic Spline Collocation Method for the Shallow Water Equations on the Sphere

Journal of Computational Physics ◽

10.1006/jcph.2002.7075 ◽

2002 ◽

Vol 179 (2) ◽

pp. 578-592 ◽

Cited By ~ 12

Author(s):

Anita T. Layton

Keyword(s):

Shallow Water ◽

Collocation Method ◽

Shallow Water Equations ◽

Cubic Spline ◽

Spline Collocation ◽

Spline Collocation Method ◽

Cubic Spline Collocation

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Exponential Fitting for the Solution of Two-Point Boundary Value Problems with Cubic Spline Collocation Tau-Method

International Journal of Computer Mathematics ◽

10.1080/00207160211929 ◽

2002 ◽

Vol 79 (3) ◽

pp. 299-306 ◽

Cited By ~ 6

Author(s):

O. A. Taiwo

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Cubic Spline ◽

Exponential Fitting ◽

Tau Method ◽

Point Boundary ◽

Spline Collocation ◽

Cubic Spline Collocation

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