Asymptotic Expansions for the Discretization Error of Least Squares Solutions of Linear Boundary Value Problems

Klaus Bohmer; John Locker

doi:10.2307/2008580

Asymptotic Expansions for the Discretization Error of Least Squares Solutions of Linear Boundary Value Problems

Mathematics of Computation ◽

10.2307/2008580 ◽

1988 ◽

Vol 51 (183) ◽

pp. 75 ◽

Cited By ~ 1

Author(s):

Klaus Bohmer ◽

John Locker

Keyword(s):

Least Squares ◽

Boundary Value Problems ◽

Asymptotic Expansions ◽

Boundary Value ◽

Discretization Error ◽

Linear Boundary

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Asymptotic expansions for the discretization error of least squares solutions of linear boundary value problems

Mathematics of Computation ◽

10.1090/s0025-5718-1988-0942144-4 ◽

1988 ◽

Vol 51 (183) ◽

pp. 75-75

Author(s):

Klaus B{öhmer ◽

John Locker

Keyword(s):

Least Squares ◽

Boundary Value Problems ◽

Asymptotic Expansions ◽

Boundary Value ◽

Discretization Error ◽

Linear Boundary

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Solution of non-linear boundary value problems by discrete least squares

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620110404 ◽

1977 ◽

Vol 11 (4) ◽

pp. 641-652 ◽

Cited By ~ 10

Author(s):

E. D. Eason ◽

C. D. Mote

Keyword(s):

Least Squares ◽

Boundary Value Problems ◽

Boundary Value ◽

Linear Boundary ◽

Non Linear

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A least squares solution to linear boundary value problems with impulses

Differential Equations & Applications ◽

10.7153/dea-05-30 ◽

2013 ◽

pp. 519-525

Author(s):

Daniel Maroncelli ◽

Jesús Rodríguez

Keyword(s):

Least Squares ◽

Boundary Value Problems ◽

Boundary Value ◽

Linear Boundary ◽

Least Squares Solution

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Least-squares method in the theory of ill-posed linear boundary-value problems with pulse action

Ukrainian Mathematical Journal ◽

10.1007/s11253-010-0389-4 ◽

2010 ◽

Vol 62 (5) ◽

pp. 794-803

Author(s):

S. M. Chuiko

Keyword(s):

Least Squares ◽

Boundary Value Problems ◽

Least Squares Method ◽

Boundary Value ◽

Pulse Action ◽

Linear Boundary ◽

Ill Posed

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Continuous dependence of least squares solutions of linear boundary value problems

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1976-0409947-x ◽

1976 ◽

Vol 59 (1) ◽

pp. 107-107 ◽

Cited By ~ 2

Author(s):

R. Kannan ◽

John Locker

Keyword(s):

Least Squares ◽

Boundary Value Problems ◽

Continuous Dependence ◽

Boundary Value ◽

Linear Boundary

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Estimation of the global discretization error in shooting methods for linear boundary value problems

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(89)90342-7 ◽

1989 ◽

Vol 28 ◽

pp. 309-314 ◽

Cited By ~ 6

Author(s):

P. Marzulli ◽

G. Gheri

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Discretization Error ◽

Linear Boundary ◽

Shooting Methods

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Asymptotic expansions of the discretization error of boundary value problems of the laplace equation in rectangular domains

Numerische Mathematik ◽

10.1007/bf02162422 ◽

1967 ◽

Vol 9 (4) ◽

pp. 302-322 ◽

Cited By ~ 11

Author(s):

Peter Hofmann

Keyword(s):

Boundary Value Problems ◽

Laplace Equation ◽

Asymptotic Expansions ◽

Boundary Value ◽

Discretization Error

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On the Approximate Solution of Matrix Differential-Algebraic Boundary-Value Problems by the Least-Squares Method

Journal of Mathematical Sciences ◽

10.1007/s10958-021-05231-7 ◽

2021 ◽

Vol 253 (2) ◽

pp. 323-337

Author(s):

S. M. Chuiko ◽

O. V. Nesmelova ◽

M. V. Dzyuba

Keyword(s):

Approximate Solution ◽

Least Squares ◽

Boundary Value Problems ◽

Least Squares Method ◽

Boundary Value ◽

Matrix Differential

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Solvability Criterion for Linear Boundary-Value Problems for Integrodifferential Fredholm Equations with Degenerate Kernels in Banach Spaces

Ukrainian Mathematical Journal ◽

10.1007/s11253-021-01881-7 ◽

2021 ◽

Author(s):

A. A. Boichuk ◽

V. F. Zhuravlev

Keyword(s):

Boundary Value Problems ◽

Banach Spaces ◽

Boundary Value ◽

Linear Boundary ◽

Fredholm Equations ◽

Solvability Criterion

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Solution of Certain Linear Boundary Value Problems by Use of Finite Transforms

Mathematics Magazine ◽

10.2307/2688678 ◽

1967 ◽

Vol 40 (4) ◽

pp. 200

Author(s):

John W. Cell

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Linear Boundary

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