Convergence of $O(h^4 )$ Cubic Spline Collocation Methods for Elliptic Partial Differential Equations

SIAM Journal on Numerical Analysis ◽

10.1137/0725006 ◽

1988 ◽

Vol 25 (1) ◽

pp. 54-74 ◽

Author(s):

E. N. Houstis ◽

E. A. Vavalis ◽

J. R. Rice

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Cubic Spline ◽

Collocation Methods ◽

Spline Collocation ◽

Partial Differential ◽

Cubic Spline Collocation

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Iterative Line Cubic Spline Collocation Methods for Elliptic Partial Differential Equations in Several Dimensions

SIAM Journal on Scientific Computing ◽

10.1137/0914045 ◽

1993 ◽

Vol 14 (3) ◽

pp. 715-734 ◽

Author(s):

A. Hadjidimos ◽

E. N. Houstis ◽

J. R. Rice ◽

E. A. Vavalis

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Cubic Spline ◽

Collocation Methods ◽

Spline Collocation ◽

Partial Differential ◽

Cubic Spline Collocation

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Analysis of Iterative Line Spline Collocation Methods for Elliptic Partial Differential Equations

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/s0895479896309827 ◽

2000 ◽

Vol 21 (2) ◽

pp. 508-521 ◽

Author(s):

A. Hadjidimos ◽

E. N. Houstis ◽

J. R. Rice ◽

E. Vavalis

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Collocation Methods ◽

Spline Collocation ◽

Partial Differential

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Quadratic spline collocation methods for elliptic partial differential equations

BIT Numerical Mathematics ◽

10.1007/bf01935015 ◽

1994 ◽

Vol 34 (1) ◽

pp. 33-61 ◽

Author(s):

Christina C. Christara

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Collocation Methods ◽

Spline Collocation ◽

Partial Differential ◽

Quadratic Spline ◽

Quadratic Spline Collocation

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RETRACTED: Quartic spline collocation methods for elliptic partial differential equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2004.08.041 ◽

2005 ◽

Vol 168 (1) ◽

pp. 198-221 ◽

Author(s):

H.M. El-Hawary ◽

E.A. Zanaty ◽

E. El-Sanousy

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Collocation Methods ◽

Spline Collocation ◽

Partial Differential

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Modified nodal cubic spline collocation for three-dimensional variable coefficient second order partial differential equations

Numerical Algorithms ◽

10.1007/s11075-012-9669-4 ◽

2012 ◽

Vol 64 (2) ◽

pp. 349-383

Author(s):

Bernard Bialecki ◽

Andreas Karageorghis

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Variable Coefficient ◽

Three Dimensional ◽

Cubic Spline ◽

Second Order ◽

Spline Collocation ◽

Partial Differential ◽

Cubic Spline Collocation ◽

Dimensional Variable

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Orthogonal spline collocation methods for partial differential equations

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(00)00509-4 ◽

2001 ◽

Vol 128 (1-2) ◽

pp. 55-82 ◽

Author(s):

B. Bialecki ◽

G. Fairweather

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Methods ◽

Spline Collocation ◽

Partial Differential ◽

Orthogonal Spline Collocation

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General interior Hermite collocation methods for second-order elliptic partial differential equations

Applied Numerical Mathematics ◽

10.1016/0168-9274(94)00055-7 ◽

1994 ◽

Vol 16 (1-2) ◽

pp. 183-200 ◽

Author(s):

Yu-Ling Lai ◽

Apostolos Hadjidimos ◽

Elias N. Houstis ◽

John R. Rice

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Second Order ◽

Collocation Methods ◽

Partial Differential

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A parallel spline collocation-capacitance method for elliptic partial differential equations

Proceedings of the 2nd international conference on Supercomputing - ICS '88 ◽

10.1145/55364.55401 ◽

1988 ◽

Author(s):

C. C. Christara ◽

E. N. Houstis ◽

J. R. Rice

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Spline Collocation ◽

Partial Differential ◽

Capacitance Method

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Spline Collocation Methods for Partial Differential Equations

10.1002/9781119301066 ◽

2017 ◽

Author(s):

William E. Schiesser

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Methods ◽

Spline Collocation ◽

Partial Differential

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Orthogonal spline collocation methods for partial differential equations

Partial Differential Equations ◽

10.1016/b978-0-444-50616-0.50005-1 ◽

2001 ◽

pp. 55-82 ◽

Author(s):

B. Bialecki ◽

G. Fairweather

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Methods ◽

Spline Collocation ◽

Partial Differential ◽

Orthogonal Spline Collocation

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