Superconvergence of Legendre projection methods for the eigenvalue problem of a compact integral operator

EIGENVALUE PROBLEM OF A WEAKLY SINGULAR COMPACT INTEGRAL OPERATOR BY DISCRETE LEGENDRE PROJECTION METHODS

Journal of Applied Analysis & Computation ◽

10.11948/20200316 ◽

2020 ◽

Vol 0 (0) ◽

pp. 0-0

Author(s):

Moumita Mandal ◽

◽

Kapil Kant ◽

Gnaneshwar Nelakanti ◽

Keyword(s):

Integral Operator ◽

Eigenvalue Problem ◽

Projection Methods ◽

Weakly Singular

Discrete Legendre Projection Methods for the Eigenvalue Problem of a Compact Integral Operator

Journal of Computer Science & Computational Mathematics ◽

10.20967/jcscm.2016.04.001 ◽

2016 ◽

pp. 81-89

Author(s):

Bijaya Laxmi Panigrahi ◽

Jitendra Kumar Malik

Keyword(s):

Integral Operator ◽

Eigenvalue Problem ◽

Projection Methods ◽

Wavelet Galerkin method for eigenvalue problem of a compact integral operator

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.05.114 ◽

2011 ◽

Vol 218 (4) ◽

pp. 1222-1232 ◽

Author(s):

Bijaya Laxmi Panigrahi ◽

Gnaneshwar Nelakanti

Keyword(s):

Integral Operator ◽

Eigenvalue Problem ◽

Galerkin Method ◽

Wavelet Galerkin Method

Hybrid collocation methods for eigenvalue problem of a compact integral operator with weakly singular kernel

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.01.058 ◽

2018 ◽

Vol 328 ◽

pp. 353-364

Author(s):

Bijaya Laxmi Panigrahi

Keyword(s):

Integral Operator ◽

Eigenvalue Problem ◽

Collocation Methods ◽

Singular Kernel ◽

Weakly Singular Kernel ◽

Weakly Singular

Legendre multi-projection methods for solving eigenvalue problems for a compact integral operator

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2012.09.014 ◽

2013 ◽

Vol 239 ◽

pp. 135-151 ◽

Cited By ~ 7

Author(s):

Bijaya Laxmi Panigrahi ◽

Guangqing Long ◽

Gnaneshwar Nelakanti

Keyword(s):

Integral Operator ◽

Eigenvalue Problems ◽

Projection Methods ◽

RICHARDSON EXTRAPOLATION OF ITERATED DISCRETE COLLOCATION METHOD FOR EIGENVALUE PROBLEM OF A TWO DIMENSIONAL COMPACT INTEGRAL OPERATOR

Journal of applied mathematics & informatics ◽

10.14317/jami.2014.567 ◽

2014 ◽

Vol 32 (5_6) ◽

pp. 567-584

Author(s):

Bijaya Laxmi Panigrahi ◽

Gnaneshwar Nelakanti

Keyword(s):

Integral Operator ◽

Eigenvalue Problem ◽

Collocation Method ◽

Richardson Extrapolation ◽

Two Dimensional ◽

Richardson Extrapolation of Iterated Discrete Galerkin Method for Eigenvalue Problem of a Two Dimensional Compact Integral Operator

Journal of Scientific Computing ◽

10.1007/s10915-011-9516-0 ◽

2011 ◽

Vol 51 (2) ◽

pp. 421-448 ◽

Author(s):

Bijaya Laxmi Panigrahi ◽

Gnaneshwar Nelakanti

Keyword(s):

Integral Operator ◽

Eigenvalue Problem ◽

Galerkin Method ◽

Richardson Extrapolation ◽

Two Dimensional ◽

Discrete Galerkin Method

Asymptotic evaluations of the error of projection methods for the eigenvalue problem

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(64)90237-x ◽

1964 ◽

Vol 4 (3) ◽

pp. 9-36 ◽

Cited By ~ 11

Author(s):

G.M. Vainikko

Keyword(s):

Eigenvalue Problem ◽

Projection Methods

Galerkin methods for eigenvalue problem of an integral operator with logarithmic kernel

The Journal of Analysis ◽

10.1007/s41478-017-0046-5 ◽

2017 ◽

Vol 25 (2) ◽

pp. 235-251 ◽

Author(s):

Bijaya Laxmi Panigrahi

Keyword(s):

Integral Operator ◽

Eigenvalue Problem ◽

Galerkin Methods ◽

Logarithmic Kernel

The rate of convergence of projection methods in the eigenvalue problem for equations of special form

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(85)90133-8 ◽

1985 ◽

Vol 25 (4) ◽

pp. 1-7 ◽

Author(s):

A.G. Zarubin

Keyword(s):

Eigenvalue Problem ◽

Rate Of Convergence ◽

Special Form ◽

Projection Methods