Continuation-Conjugate Gradient Methods for the Least Squares Solution of Nonlinear Boundary Value Problems

R. Glowinski; H. B. Keller; L. Reinhart

doi:10.1137/0906055

Continuation-Conjugate Gradient Methods for the Least Squares Solution of Nonlinear Boundary Value Problems

SIAM Journal on Scientific and Statistical Computing ◽

10.1137/0906055 ◽

1985 ◽

Vol 6 (4) ◽

pp. 793-832 ◽

Cited By ~ 83

Author(s):

R. Glowinski ◽

H. B. Keller ◽

L. Reinhart

Keyword(s):

Least Squares ◽

Boundary Value Problems ◽

Conjugate Gradient ◽

Nonlinear Boundary ◽

Boundary Value ◽

Gradient Methods ◽

Conjugate Gradient Methods ◽

Nonlinear Boundary Value Problems ◽

Least Squares Solution ◽

Nonlinear Boundary Value

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On the roles of minimization and linearization in least-squares finite element models of nonlinear boundary-value problems

Journal of Computational Physics ◽

10.1016/j.jcp.2011.02.002 ◽

2011 ◽

Vol 230 (9) ◽

pp. 3589-3613 ◽

Cited By ~ 10

Author(s):

G.S. Payette ◽

J.N. Reddy

Keyword(s):

Finite Element ◽

Least Squares ◽

Boundary Value Problems ◽

Nonlinear Boundary ◽

Boundary Value ◽

Finite Element Models ◽

Nonlinear Boundary Value Problems ◽

Nonlinear Boundary Value

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Nonlinear boundary value problems in quantum field theory

Annals of Physics ◽

10.1016/0003-4916(89)90317-5 ◽

1989 ◽

Vol 191 (2) ◽

pp. 258-285 ◽

Cited By ~ 1

Author(s):

Robert Schrader

Keyword(s):

Field Theory ◽

Quantum Field Theory ◽

Boundary Value Problems ◽

Nonlinear Boundary ◽

Boundary Value ◽

Quantum Field ◽

Nonlinear Boundary Value Problems ◽

Nonlinear Boundary Value

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Existence and uniqueness for nonlinear boundary value problems on infinite intervals

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(90)90388-v ◽

1990 ◽

Vol 147 (1) ◽

pp. 122-133 ◽

Cited By ~ 72

Author(s):

John V. Baxley

Keyword(s):

Boundary Value Problems ◽

Existence And Uniqueness ◽

Nonlinear Boundary ◽

Boundary Value ◽

Nonlinear Boundary Value Problems ◽

Nonlinear Boundary Value ◽

Infinite Intervals

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Multiple solutions of two-point nonlinear boundary value problems

Nonlinear Analysis ◽

10.1016/j.na.2008.10.053 ◽

2009 ◽

Vol 71 (12) ◽

pp. e176-e185 ◽

Cited By ~ 1

Author(s):

Felix Sadyrbaev ◽

Inara Yermachenko

Keyword(s):

Boundary Value Problems ◽

Multiple Solutions ◽

Nonlinear Boundary ◽

Boundary Value ◽

Nonlinear Boundary Value Problems ◽

Nonlinear Boundary Value

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A fourth-order accurate method for fourth-order two-point nonlinear boundary value problems

Applied Mathematics Letters ◽

10.1016/0893-9659(88)90159-0 ◽

1988 ◽

Vol 1 (4) ◽

pp. 399-402

Author(s):

S.I.A. Tirmizi

Keyword(s):

Boundary Value Problems ◽

Fourth Order ◽

Nonlinear Boundary ◽

Boundary Value ◽

Accurate Method ◽

Nonlinear Boundary Value Problems ◽

Nonlinear Boundary Value

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A posteriori finite element error estimators for parametrized nonlinear boundary value problems

Numerical Functional Analysis and Optimization ◽

10.1080/01630569608816714 ◽

1996 ◽

Vol 17 (5-6) ◽

pp. 605-637 ◽

Cited By ~ 13

Author(s):

Jinn—Liang Liu ◽

Werner C. Rheinboldt

Keyword(s):

Finite Element ◽

Boundary Value Problems ◽

Nonlinear Boundary ◽

Boundary Value ◽

A Posteriori ◽

Nonlinear Boundary Value Problems ◽

Error Estimators ◽

Nonlinear Boundary Value ◽

Element Error

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Solvability of some nonlinear boundary value problems for singular integral equations of convolution type

Transactions of the Moscow Mathematical Society ◽

10.1090/mosc/306 ◽

2021 ◽

Vol 81 ◽

pp. 1-31 ◽

Cited By ~ 1

Author(s):

Kh. A. Khachatryan

Keyword(s):

Boundary Value Problems ◽

Integral Equations ◽

Singular Integral ◽

Nonlinear Boundary ◽

Boundary Value ◽

Singular Integral Equations ◽

Convolution Type ◽

Nonlinear Boundary Value Problems ◽

Nonlinear Boundary Value

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Nonlinear boundary value problems for some classes of ordinary differential equations

Rocky Mountain Journal of Mathematics ◽

10.1216/rmj-1980-10-1-35 ◽

1980 ◽

Vol 10 (1) ◽

pp. 35-58 ◽

Cited By ~ 46

Author(s):

A. Granas ◽

R.B. Guenther ◽

J.W. Lee

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Nonlinear Boundary ◽

Boundary Value ◽

Nonlinear Boundary Value Problems ◽

Nonlinear Boundary Value

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Designing of the Interface for Nonlinear Boundary Value Problems Solver Using Maple

2008 International Conference on Computational Sciences and Its Applications ◽

10.1109/iccsa.2008.72 ◽

2008 ◽

Cited By ~ 2

Author(s):

Mikhail I. Karyakin ◽

Dmitry Y. Sukhov ◽

Tatyana V. Gavrilyachenko

Keyword(s):

Boundary Value Problems ◽

Nonlinear Boundary ◽

Boundary Value ◽

Nonlinear Boundary Value Problems ◽

Nonlinear Boundary Value

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Nagumo theorems of third-order singular nonlinear boundary value problems

Boundary Value Problems ◽

10.1186/s13661-015-0400-y ◽

2015 ◽

Vol 2015 (1) ◽

Cited By ~ 1

Author(s):

Ming Cheng

Keyword(s):

Boundary Value Problems ◽

Nonlinear Boundary ◽

Boundary Value ◽

Nonlinear Boundary Value Problems ◽

Third Order ◽

Nonlinear Boundary Value

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