Quadratic spline collocation method and efficient preconditioner for the Helmholtz equation with the Sommerfeld boundary conditions

Wei-Hua Luo; Ting-Zhu Huang; Liang Li; Hou-Biao Li; Xian-Ming Gu

doi:10.1007/s13160-016-0225-9

Quadratic spline collocation method and efficient preconditioner for the Helmholtz equation with the Sommerfeld boundary conditions

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/s13160-016-0225-9 ◽

2016 ◽

Vol 33 (3) ◽

pp. 701-720

Author(s):

Wei-Hua Luo ◽

Ting-Zhu Huang ◽

Liang Li ◽

Hou-Biao Li ◽

Xian-Ming Gu

Keyword(s):

Boundary Conditions ◽

Helmholtz Equation ◽

Collocation Method ◽

Spline Collocation ◽

Quadratic Spline ◽

Spline Collocation Method ◽

Quadratic Spline Collocation

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A Crank-Nicolson ADI quadratic spline collocation method for two-dimensional Riemann-Liouville space-fractional diffusion equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.10.015 ◽

2021 ◽

Vol 160 ◽

pp. 331-348

Author(s):

Jun Liu ◽

Chen Zhu ◽

Yanping Chen ◽

Hongfei Fu

Keyword(s):

Collocation Method ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Two Dimensional ◽

Spline Collocation ◽

Quadratic Spline ◽

Spline Collocation Method ◽

Fractional Diffusion Equations ◽

Liouville Space ◽

Quadratic Spline Collocation

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A quadratic spline collocation method for the Dirichlet biharmonic problem

Numerical Algorithms ◽

10.1007/s11075-019-00676-z ◽

2019 ◽

Vol 83 (1) ◽

pp. 165-199 ◽

Cited By ~ 1

Author(s):

Bernard Bialecki ◽

Graeme Fairweather ◽

Andreas Karageorghis ◽

Jonathan Maack

Keyword(s):

Collocation Method ◽

Spline Collocation ◽

Quadratic Spline ◽

Spline Collocation Method ◽

Biharmonic Problem ◽

Quadratic Spline Collocation

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VECTOR MODE ANALYSIS OF OPTICAL WAVEGUIDES BY QUADRATIC SPLINE COLLOCATION METHOD

Progress In Electromagnetics Research M ◽

10.2528/pierm12101216 ◽

2012 ◽

Vol 27 ◽

pp. 97-107 ◽

Cited By ~ 1

Author(s):

Jianwei Mu ◽

Haibo Liang ◽

Xun Li ◽

Bin Xu ◽

Wei-Ping Huang

Keyword(s):

Collocation Method ◽

Optical Waveguides ◽

Mode Analysis ◽

Spline Collocation ◽

Quadratic Spline ◽

Spline Collocation Method ◽

Vector Mode ◽

Quadratic Spline Collocation

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Smoothing and Quadratic Spline Collocation Method for Weakly Singular Integral Equations

10.1063/1.3241314 ◽

2009 ◽

Author(s):

Rene Pallav ◽

Arvet Pedas ◽

Theodore E. Simos ◽

George Psihoyios ◽

Ch. Tsitouras

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Singular Integral ◽

Singular Integral Equations ◽

Spline Collocation ◽

Quadratic Spline ◽

Spline Collocation Method ◽

Weakly Singular ◽

Weakly Singular Integral Equations ◽

Quadratic Spline Collocation

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Quadratic spline collocation method for weakly singular integral equations

Proceedings of the Estonian Academy of Sciences. Physics. Mathematics ◽

10.3176/phys.math.2002.1.04 ◽

2002 ◽

Vol 51 (1) ◽

pp. 47

Author(s):

R Kangro ◽

R Pallav ◽

A Pedas

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Singular Integral ◽

Singular Integral Equations ◽

Spline Collocation ◽

Quadratic Spline ◽

Spline Collocation Method ◽

Weakly Singular ◽

Weakly Singular Integral Equations ◽

Quadratic Spline Collocation

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Quadratic spline collocation method for weakly singular integral equations on graded grids

Proceedings of the Estonian Academy of Sciences. Physics. Mathematics ◽

10.3176/phys.math.2002.4.02 ◽

2002 ◽

Vol 51 (4) ◽

pp. 221

Author(s):

R Pallav

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Singular Integral ◽

Singular Integral Equations ◽

Spline Collocation ◽

Quadratic Spline ◽

Spline Collocation Method ◽

Weakly Singular ◽

Weakly Singular Integral Equations ◽

Quadratic Spline Collocation

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Quadratic spline collocation method for the time fractional subdiffusion equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.12.020 ◽

2016 ◽

Vol 276 ◽

pp. 252-265 ◽

Cited By ~ 4

Author(s):

Wei-Hua Luo ◽

Ting-Zhu Huang ◽

Guo-Cheng Wu ◽

Xian-Ming Gu

Keyword(s):

Collocation Method ◽

Spline Collocation ◽

Quadratic Spline ◽

Spline Collocation Method ◽

Subdiffusion Equation ◽

Quadratic Spline Collocation

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A preconditioned fast quadratic spline collocation method for two-sided space-fractional partial differential equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.03.048 ◽

2019 ◽

Vol 360 ◽

pp. 138-156 ◽

Cited By ~ 11

Author(s):

Jun Liu ◽

Hongfei Fu ◽

Hong Wang ◽

Xiaochao Chai

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Method ◽

Fractional Partial Differential Equations ◽

Spline Collocation ◽

Partial Differential ◽

Quadratic Spline ◽

Spline Collocation Method ◽

Quadratic Spline Collocation

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A compact quadratic spline collocation method for the time-fractional Black–Scholes model

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-020-01439-z ◽

2020 ◽

Author(s):

Zhaowei Tian ◽

Shuying Zhai ◽

Haifeng Ji ◽

Zhifeng Weng

Keyword(s):

Collocation Method ◽

Spline Collocation ◽

Quadratic Spline ◽

Spline Collocation Method ◽

Black Scholes Model ◽

Black Scholes ◽

Quadratic Spline Collocation

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Numerical solution of fractional bioheat equation by quadratic spline collocation method

10.22436/jnsa.009.07.09 ◽

2016 ◽

Vol 09 (07) ◽

pp. 5061-5072 ◽

Cited By ~ 6

Author(s):

Yanmei Qin ◽

Kaiteng Wu

Keyword(s):

Numerical Solution ◽

Collocation Method ◽

Spline Collocation ◽

Bioheat Equation ◽

Quadratic Spline ◽

Spline Collocation Method ◽

Quadratic Spline Collocation

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