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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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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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 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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A Legendre Spectral Collocation Method for the Biharmonic Dirichlet Problem

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2000160 ◽

2000 ◽

Vol 34 (3) ◽

pp. 637-662 ◽

Author(s):

Bernard Bialecki ◽

Andreas Karageorghis

Keyword(s):

Dirichlet Problem ◽

Collocation Method ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Biharmonic Dirichlet Problem

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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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Boundary Element Analysis of a Direct Method for the Biharmonic Dirichlet Problem

The Gohberg Anniversary Collection ◽

10.1007/978-3-0348-9144-8_24 ◽

1989 ◽

pp. 569-587 ◽

Author(s):

M. Costabel ◽

J. Saranen

Keyword(s):

Dirichlet Problem ◽

Boundary Element ◽

Direct Method ◽

Element Analysis ◽

Boundary Element Analysis ◽

A Direct Method ◽

Biharmonic Dirichlet Problem

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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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