Pointwise a Posteriori Error Bounds for Blow-Up in the Semilinear Heat Equation

Irene Kyza; Stephen Metcalfe

doi:10.1137/19m1264758

Pointwise a Posteriori Error Bounds for Blow-Up in the Semilinear Heat Equation

SIAM Journal on Numerical Analysis ◽

10.1137/19m1264758 ◽

2020 ◽

Vol 58 (5) ◽

pp. 2609-2631

Author(s):

Irene Kyza ◽

Stephen Metcalfe

Keyword(s):

Heat Equation ◽

Error Bounds ◽

Blow Up ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Semilinear Heat Equation ◽

A Posteriori Error Bounds

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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 Bounds for Gaussian Elimination

IMA Journal of Numerical Analysis ◽

10.1093/imanum/2.4.377 ◽

1982 ◽

Vol 2 (4) ◽

pp. 377-406 ◽

Cited By ~ 11

Author(s):

F. W. J. OLVER ◽

J. H. WILKINSON

Keyword(s):

Error Bounds ◽

Gaussian Elimination ◽

Posteriori Error ◽

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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Reduced-basis methods for elliptic equations in sub-domains with a posteriori error bounds and adaptivity

Applied Numerical Mathematics ◽

10.1016/j.apnum.2004.11.004 ◽

2005 ◽

Vol 55 (4) ◽

pp. 403-424 ◽

Cited By ~ 19

Author(s):

Gianluigi Rozza

Keyword(s):

Error Bounds ◽

Elliptic Equations ◽

Posteriori Error ◽

A Posteriori ◽

Reduced Basis ◽

A Posteriori Error ◽

Reduced Basis Methods ◽

A Posteriori Error Bounds

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A posteriori error bounds for quasi-linear Dirichlet and Neumann problems in full divergent form

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(78)90073-2 ◽

1978 ◽

Vol 63 (3) ◽

pp. 801-809

Author(s):

John E Lavery

Keyword(s):

Error Bounds ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Divergent Form ◽

Neumann Problems ◽

A Posteriori Error Bounds

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A posteriori error bounds for piecewise linear approximate solutions of elliptic equations of monotone type

Mathematics of Computation ◽

10.1090/s0025-5718-1992-1122073-7 ◽

1992 ◽

Vol 58 (198) ◽

pp. 549-549 ◽

Cited By ~ 2

Author(s):

Koichi Niijima

Keyword(s):

Error Bounds ◽

Elliptic Equations ◽

Piecewise Linear ◽

Approximate Solutions ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

A Posteriori Error Bounds ◽

Monotone Type

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