Role of the LBB Condition in Weak Spectral Projection Methods

F. Auteri; J.-L. Guermond; N. Parolini

doi:10.1006/jcph.2001.6922

Role of the LBB Condition in Weak Spectral Projection Methods

Journal of Computational Physics ◽

10.1006/jcph.2001.6922 ◽

2001 ◽

Vol 174 (1) ◽

pp. 405-420 ◽

Cited By ~ 11

Author(s):

F. Auteri ◽

J.-L. Guermond ◽

N. Parolini

Keyword(s):

Spectral Projection ◽

Projection Methods ◽

Lbb Condition

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Chebyshev Spectral Projection Methods for Two-Dimensional Fredholm Integral Equations of Second Kind

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-021-01015-4 ◽

2021 ◽

Vol 7 (3) ◽

Author(s):

Bijaya Laxmi Panigrahi ◽

Jitendra Kumar Malik

Keyword(s):

Integral Equations ◽

Spectral Projection ◽

Projection Methods ◽

Fredholm Integral Equations ◽

Two Dimensional

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Convergence analysis of discrete legendre spectral projection methods for hammerstein integral equations of mixed type

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.05.100 ◽

2015 ◽

Vol 265 ◽

pp. 574-601 ◽

Cited By ~ 3

Author(s):

Payel Das ◽

Gnaneshwar Nelakanti

Keyword(s):

Convergence Analysis ◽

Integral Equations ◽

Mixed Type ◽

Spectral Projection ◽

Projection Methods ◽

Hammerstein Integral Equations ◽

Equations Of Mixed Type

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Superconvergence results of Legendre spectral projection methods for Volterra integral equations of second kind

Computational and Applied Mathematics ◽

10.1007/s40314-017-0563-5 ◽

2017 ◽

Vol 37 (4) ◽

pp. 4007-4022 ◽

Cited By ~ 1

Author(s):

Moumita Mandal ◽

Gnaneshwar Nelakanti

Keyword(s):

Integral Equations ◽

Spectral Projection ◽

Projection Methods ◽

Volterra Integral Equations ◽

Superconvergence Results

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Erratum to: Discrete Legendre spectral projection methods for Fredholm–Hammerstein integral equations [J. Comput. Appl. Math. 278 (2015) 293–305]

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2015.08.005 ◽

2016 ◽

Vol 292 ◽

pp. 634-636

Author(s):

Payel Das ◽

Gnaneshwar Nelakanti ◽

Guangqing Long

Keyword(s):

Integral Equations ◽

Spectral Projection ◽

Projection Methods ◽

Hammerstein Integral Equations ◽

Appl Math

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Sparse Pseudo Spectral Projection Methods with Directional Adaptation for Uncertainty Quantification

Journal of Scientific Computing ◽

10.1007/s10915-015-0153-x ◽

2015 ◽

Vol 68 (2) ◽

pp. 596-623 ◽

Cited By ~ 17

Author(s):

J. Winokur ◽

D. Kim ◽

F. Bisetti ◽

O. P. Le Maître ◽

O. M. Knio

Keyword(s):

Uncertainty Quantification ◽

Spectral Projection ◽

Projection Methods ◽

Pseudo Spectral

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Superconvergence of Legendre spectral projection methods for Fredholm–Hammerstein integral equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.01.027 ◽

2017 ◽

Vol 319 ◽

pp. 423-439 ◽

Cited By ~ 10

Author(s):

Moumita Mandal ◽

Gnaneshwar Nelakanti

Keyword(s):

Integral Equations ◽

Spectral Projection ◽

Projection Methods ◽

Hammerstein Integral Equations

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Legendre spectral projection methods for Urysohn integral equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2013.12.002 ◽

2014 ◽

Vol 263 ◽

pp. 88-102 ◽

Cited By ~ 7

Author(s):

Payel Das ◽

Mitali Madhumita Sahani ◽

Gnaneshwar Nelakanti

Keyword(s):

Integral Equations ◽

Spectral Projection ◽

Projection Methods ◽

Urysohn Integral Equations

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Legendre Spectral Projection Methods for Hammerstein Integral Equations with Weakly Singular Kernel

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-018-0580-0 ◽

2018 ◽

Vol 4 (6) ◽

Cited By ~ 1

Author(s):

Bijaya Laxmi Panigrahi

Keyword(s):

Integral Equations ◽

Spectral Projection ◽

Projection Methods ◽

Singular Kernel ◽

Weakly Singular Kernel ◽

Hammerstein Integral Equations ◽

Weakly Singular

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Corrigendum to: ``Convergence analysis of discrete legendre spectral projection methods for hammerstein integral equations of mixed type'' Applied Mathematics and Computation Volume 265, 15 August 2015, Pages 574–601

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.12.040 ◽

2016 ◽

Vol 281 ◽

pp. 394-395

Author(s):

Payel Das ◽

Gnaneshwar Nelakanti

Keyword(s):

Convergence Analysis ◽

Integral Equations ◽

Mixed Type ◽

Applied Mathematics ◽

Spectral Projection ◽

Projection Methods ◽

Hammerstein Integral Equations ◽

Equations Of Mixed Type

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Model Reduction Based on Spectral Projection Methods

Lecture Notes in Computational Science and Engineering - Dimension Reduction of Large-Scale Systems ◽

10.1007/3-540-27909-1_1 ◽

2005 ◽

pp. 5-48 ◽

Cited By ~ 24

Author(s):

Peter Benner ◽

Enrique S. Quintana-Ortí

Keyword(s):

Model Reduction ◽

Spectral Projection ◽

Projection Methods

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