An additive Schwarz algorithm for piecewise Hermite bicubic orthogonal spline collocation

Contemporary Mathematics - Domain Decomposition Methods in Science and Engineering ◽

10.1090/conm/157/01423 ◽

1994 ◽

pp. 237-244 ◽

Author(s):

B. Bialecki ◽

X.-C. Cai ◽

M. Dryja ◽

G. Fairweather

Keyword(s):

Spline Collocation ◽

Additive Schwarz ◽

Orthogonal Spline Collocation ◽

Schwarz Algorithm

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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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Orthogonal spline collocation scheme for the multi-term time-fractional diffusion equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2017.1324150 ◽

2017 ◽

Vol 95 (8) ◽

pp. 1478-1493 ◽

Author(s):

Leijie Qiao ◽

Da Xu

Keyword(s):

Diffusion Equation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Spline Collocation ◽

Orthogonal Spline Collocation ◽

Collocation Scheme ◽

Time Fractional Diffusion Equation

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Discrete-Time Orthogonal Spline Collocation Methods for Vibration Problems

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142900348729 ◽

2002 ◽

Vol 39 (6) ◽

pp. 2045-2065 ◽

Author(s):

Bingkun Li ◽

Graeme Fairweather ◽

Bernard Bialecki

Keyword(s):

Discrete Time ◽

Collocation Methods ◽

Spline Collocation ◽

Orthogonal Spline Collocation ◽

Vibration Problems

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An Orthogonal Spline Collocation Alternating Direction Implicit Crank--Nicolson Method for Linear Parabolic Problems on Rectangles

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142997310387 ◽

1999 ◽

Vol 36 (5) ◽

pp. 1414-1434 ◽

Author(s):

Bernard Bialecki ◽

Ryan I. Fernandes

Keyword(s):

Parabolic Problems ◽

Spline Collocation ◽

Alternating Direction Implicit ◽

Orthogonal Spline Collocation ◽

Alternating Direction ◽

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A fast ADI orthogonal spline collocation method with graded meshes for the two-dimensional fractional integro-differential equation

Advances in Computational Mathematics ◽

10.1007/s10444-021-09884-5 ◽

2021 ◽

Vol 47 (5) ◽

Author(s):

Leijie Qiao ◽

Da Xu

Keyword(s):

Differential Equation ◽

Collocation Method ◽

Two Dimensional ◽

Spline Collocation ◽

Spline Collocation Method ◽

Integro Differential Equation ◽

Orthogonal Spline Collocation ◽

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A fourth-order orthogonal spline collocation method to fourth-order boundary value problems

International Journal for Computational Methods in Engineering Science and Mechanics ◽

10.1080/15502287.2019.1600070 ◽

2019 ◽

Vol 20 (5) ◽

pp. 460-470

Author(s):

Bhal Santosh Kumar ◽

P. Danumjaya ◽

Anil Kumar

Keyword(s):

Boundary Value Problems ◽

Collocation Method ◽

Fourth Order ◽

Boundary Value ◽

Spline Collocation ◽

Spline Collocation Method ◽

Orthogonal Spline Collocation

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A backward euler orthogonal spline collocation method for the time-fractional Fokker-Planck equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21958 ◽

2014 ◽

Vol 31 (5) ◽

pp. 1534-1550 ◽

Author(s):

Graeme Fairweather ◽

Haixiang Zhang ◽

Xuehua Yang ◽

Da Xu

Keyword(s):

Collocation Method ◽

Planck Equation ◽

Spline Collocation ◽

Spline Collocation Method ◽

Orthogonal Spline Collocation ◽

Fokker Planck Equation ◽

Backward Euler ◽

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Unconditional convergence of linearized orthogonal spline collocation algorithm for semilinear subdiffusion equation with nonsmooth solution

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22583 ◽

2020 ◽

Author(s):

Haixiang Zhang ◽

Xuehua Yang ◽

Da Xu

Keyword(s):

Unconditional Convergence ◽

Spline Collocation ◽

Orthogonal Spline Collocation ◽

Subdiffusion Equation

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The Crank–Nicolson orthogonal spline collocation method for one-dimensional parabolic problems with interfaces

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.113119 ◽

2021 ◽

Vol 383 ◽

pp. 113119

Author(s):

Santosh Kumar Bhal ◽

P. Danumjaya ◽

G. Fairweather

Keyword(s):

Collocation Method ◽

Parabolic Problems ◽

Spline Collocation ◽

Spline Collocation Method ◽

One Dimensional ◽

Orthogonal Spline Collocation ◽

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Extrapolated ADI Crank–Nicolson orthogonal spline collocation for coupled Burgers' equations

The Journal of Difference Equations and Applications ◽

10.1080/10236198.2019.1701671 ◽

2019 ◽

Vol 26 (1) ◽

pp. 45-73

Author(s):

Nick Fisher ◽

Bernard Bialecki

Keyword(s):

Spline Collocation ◽

Burgers Equations ◽

Orthogonal Spline Collocation ◽

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