Matrix Decomposition Algorithms in Orthogonal Spline Collocation for Separable Elliptic Boundary Value Problems

Bernard Bialecki; Graeme Fairweather

doi:10.1137/0916022

Matrix Decomposition Algorithms in Orthogonal Spline Collocation for Separable Elliptic Boundary Value Problems

SIAM Journal on Scientific Computing ◽

10.1137/0916022 ◽

1995 ◽

Vol 16 (2) ◽

pp. 330-347 ◽

Cited By ~ 16

Author(s):

Bernard Bialecki ◽

Graeme Fairweather

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Matrix Decomposition ◽

Elliptic Boundary Value Problems ◽

Decomposition Algorithms ◽

Spline Collocation ◽

Elliptic Boundary Value ◽

Orthogonal Spline Collocation ◽

Matrix Decomposition Algorithms

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Matrix decomposition algorithms for elliptic boundary value problems: a survey

Numerical Algorithms ◽

10.1007/s11075-010-9384-y ◽

2010 ◽

Vol 56 (2) ◽

pp. 253-295 ◽

Cited By ~ 34

Author(s):

Bernard Bialecki ◽

Graeme Fairweather ◽

Andreas Karageorghis

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Matrix Decomposition ◽

Elliptic Boundary Value Problems ◽

Decomposition Algorithms ◽

Elliptic Boundary Value ◽

Matrix Decomposition Algorithms

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Matrix decomposition algorithms for separable elliptic boundary value problems in two space dimensions

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(93)90033-8 ◽

1993 ◽

Vol 46 (3) ◽

pp. 369-386 ◽

Cited By ~ 26

Author(s):

Bernard Bialecki ◽

Graeme Fairweather

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Matrix Decomposition ◽

Elliptic Boundary Value Problems ◽

Decomposition Algorithms ◽

Elliptic Boundary Value ◽

Matrix Decomposition Algorithms ◽

Two Space Dimensions

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$H^1 $-Norm Error Bounds for Piecewise Hermite Bicubic Orthogonal Spline Collocation Schemes for Elliptic Boundary Value Problems

SIAM Journal on Numerical Analysis ◽

10.1137/0731059 ◽

1994 ◽

Vol 31 (4) ◽

pp. 1128-1146 ◽

Cited By ~ 20

Author(s):

Bernard Bialecki ◽

Xiao-Chuan Cai

Keyword(s):

Boundary Value Problems ◽

Error Bounds ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Spline Collocation ◽

Elliptic Boundary Value ◽

Orthogonal Spline Collocation ◽

Norm Error

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Convergence Analysis of Orthogonal Spline Collocation for Elliptic Boundary Value Problems

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142996305406 ◽

1998 ◽

Vol 35 (2) ◽

pp. 617-631 ◽

Cited By ~ 29

Author(s):

Bernard Bialecki

Keyword(s):

Boundary Value Problems ◽

Convergence Analysis ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Spline Collocation ◽

Elliptic Boundary Value ◽

Orthogonal Spline Collocation

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EXISTENCE OF COUPLED WEAK QUASI-SOLUTIONS OF SYSTEMS OF QUASILINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30195-4 ◽

1993 ◽

Vol 13 (1) ◽

pp. 102-110

Author(s):

Shixin Yang

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Quasilinear Elliptic

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Numerical solution of elliptic boundary-value problems for Schrödinger-type equations using the Kantorovich method

Mathematical Modelling and Geometry ◽

10.26456/mmg/2014-215 ◽

2014 ◽

Vol 2 (1) ◽

Author(s):

A.A. Gusev ◽

O. Chuluunbaatar ◽

S.I. Vinitsky ◽

A.G. Abrashkevich ◽

V.L. Derbov

Keyword(s):

Numerical Solution ◽

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Kantorovich Method ◽

Elliptic Boundary Value

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Parallel black box $$\mathcal {H}$$ -LU preconditioning for elliptic boundary value problems

Computing and Visualization in Science ◽

10.1007/s00791-008-0098-9 ◽

2008 ◽

Vol 11 (4-6) ◽

pp. 273-291 ◽

Cited By ~ 34

Author(s):

Lars Grasedyck ◽

Ronald Kriemann ◽

Sabine Le Borne

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Black Box ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value

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A study of the method of approximate factorization for solving grid elliptic boundary-value problems

Mathematical Notes ◽

10.1007/bf01209557 ◽

1993 ◽

Vol 54 (3) ◽

pp. 923-933

Author(s):

A. B. Kucherov ◽

M. M. Makarov

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Approximate Factorization ◽

Elliptic Boundary Value

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Stability of the Rayleigh-Ritz-Galerkin procedure for elliptic boundary value problems

Bulletin of the Australian Mathematical Society ◽

10.1017/s0004972700025417 ◽

1976 ◽

Vol 14 (3) ◽

pp. 471-472

Author(s):

Bernard J. Omodel

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Galerkin Procedure

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Improved scales of spaces and elliptic boundary-value problems. I

Ukrainian Mathematical Journal ◽

10.1007/s11253-006-0064-y ◽

2006 ◽

Vol 58 (2) ◽

pp. 244-262 ◽

Cited By ~ 13

Author(s):

V. A. Mikhailets ◽

A. A. Murach

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value

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