A Posteriori Error Bounds and Global Error Control for Approximation of Ordinary Differential Equations

Donald Estep

doi:10.1137/0732001

A Posteriori Error Bounds and Global Error Control for Approximation of Ordinary Differential Equations

SIAM Journal on Numerical Analysis ◽

10.1137/0732001 ◽

1995 ◽

Vol 32 (1) ◽

pp. 1-48 ◽

Cited By ~ 126

Author(s):

Donald Estep

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Error Bounds ◽

Error Control ◽

Posteriori Error ◽

Global Error ◽

A Posteriori ◽

A Posteriori Error ◽

A Posteriori Error Bounds

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A posteriori Error Bounds for Approximate Solutions of Linear Second-order Ordinary Differential Equations

IMA Journal of Applied Mathematics ◽

10.1093/imamat/9.3.323 ◽

1972 ◽

Vol 9 (3) ◽

pp. 323-349 ◽

Cited By ~ 4

Author(s):

IAN GLADWELL

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Error Bounds ◽

Approximate Solutions ◽

Posteriori Error ◽

Second Order ◽

A Posteriori ◽

A Posteriori Error ◽

A Posteriori Error Bounds

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On the a-posteriori error bounds for the solution of ordinary nonlinear differential equations

Computers & Mathematics with Applications ◽

10.1016/0898-1221(75)90042-5 ◽

1975 ◽

Vol 1 (3-4) ◽

pp. 407-416

Author(s):

E.G. Geisler ◽

A.A. Tal ◽

D.P. Garg

Keyword(s):

Differential Equations ◽

Error Bounds ◽

Nonlinear Differential Equations ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

A Posteriori Error Bounds

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A Posteriori Error Bounds for Reduced-Basis Approximation of Parametrized Noncoercive and Nonlinear Elliptic Partial Differential Equations

16th AIAA Computational Fluid Dynamics Conference ◽

10.2514/6.2003-3847 ◽

2003 ◽

Cited By ~ 85

Author(s):

Karen Veroy ◽

Christophe Prud'homme ◽

Dimitrios Rovas ◽

Anthony Patera

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Error Bounds ◽

Posteriori Error ◽

Elliptic Partial Differential Equations ◽

A Posteriori ◽

Reduced Basis ◽

A Posteriori Error ◽

Nonlinear Elliptic ◽

A Posteriori Error Bounds

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A Posteriori Error Estimation and Global Error Control for Ordinary Differential Equations by the Adjoint Method

SIAM Journal on Scientific Computing ◽

10.1137/s1064827503420969 ◽

2004 ◽

Vol 26 (2) ◽

pp. 359-374 ◽

Cited By ~ 36

Author(s):

Yang Cao ◽

Linda Petzold

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Error Estimation ◽

Error Control ◽

Adjoint Method ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error

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A posteriori error bounds for inhomogeneous linear dirichlet and neumann problems in n dimensions

Applicable Analysis ◽

10.1080/00036818008839328 ◽

1980 ◽

Vol 11 (2) ◽

pp. 151-161

Author(s):

John E. Lavery

Keyword(s):

Error Bounds ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Neumann Problems ◽

A Posteriori Error Bounds

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Two-sided a posteriori error bounds for electro-magnetostatic problems

Journal of Mathematical Sciences ◽

10.1007/s10958-010-9844-x ◽

2010 ◽

Vol 166 (1) ◽

pp. 53-62 ◽

Cited By ~ 3

Author(s):

D. Pauly ◽

S. Repin

Keyword(s):

Error Bounds ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

A Posteriori Error Bounds

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A geometric approach for computing a posteriori error bounds for the solution of a linear system

Computing ◽

10.1007/bf02242018 ◽

1991 ◽

Vol 47 (1) ◽

pp. 1-9 ◽

Cited By ~ 3

Author(s):

C. Jansson

Keyword(s):

Linear System ◽

Error Bounds ◽

Geometric Approach ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

A Posteriori Error Bounds

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Rigorous and effective a-posteriori error bounds for nonlinear problems—application to RB methods

Advances in Computational Mathematics ◽

10.1007/s10444-020-09741-x ◽

2020 ◽

Vol 46 (2) ◽

Author(s):

Andreas Schmidt ◽

Dominik Wittwar ◽

Bernard Haasdonk

Keyword(s):

Error Bounds ◽

Nonlinear Problems ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

A Posteriori Error Bounds

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On a Posteriori Error Bounds of Trapezoidal Rule

2019 International Conference on Information Networking (ICOIN) ◽

10.1109/icoin.2019.8718134 ◽

2019 ◽

Author(s):

Bum II Hong ◽

Intae Ryoo ◽

Gon Khang

Keyword(s):

Error Bounds ◽

Posteriori Error ◽

Trapezoidal Rule ◽

A Posteriori ◽

A Posteriori Error ◽

A Posteriori Error Bounds

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A posteriori error analysis of round-off errors in the numerical solution of ordinary differential equations

Numerical Algorithms ◽

10.1007/s11075-016-0250-4 ◽

2017 ◽

Vol 76 (1) ◽

pp. 191-210 ◽

Cited By ~ 6

Author(s):

Benjamin Kehlet ◽

Anders Logg

Keyword(s):

Differential Equations ◽

Error Analysis ◽

Numerical Solution ◽

Ordinary Differential Equations ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Posteriori Error Analysis

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