Sharper Probabilistic Backward Error Analysis for Basic Linear Algebra Kernels with Random Data

SIAM Journal on Scientific Computing ◽

10.1137/20m1314355 ◽

2020 ◽

Vol 42 (5) ◽

pp. A3427-A3446

Author(s):

Nicholas J. Higham ◽

Theo Mary

Keyword(s):

Error Analysis ◽

Linear Algebra ◽

Backward Error Analysis ◽

Backward Error ◽

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Structured backward error analysis for a class of block three-by-three saddle point problems

Numerical Algorithms ◽

10.1007/s11075-021-01179-6 ◽

2021 ◽

Author(s):

Peng Lv ◽

Bing Zheng

Keyword(s):

Error Analysis ◽

Saddle Point ◽

Backward Error Analysis ◽

Saddle Point Problems ◽

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Automated backward error analysis for numerical code

Proceedings of the 2015 ACM SIGPLAN International Conference on Object-Oriented Programming, Systems, Languages, and Applications - OOPSLA 2015 ◽

10.1145/2814270.2814317 ◽

2015 ◽

Author(s):

Zhoulai Fu ◽

Zhaojun Bai ◽

Zhendong Su

Keyword(s):

Error Analysis ◽

Numerical Code ◽

Backward Error Analysis ◽

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Backward error analysis for multistep methods

Numerische Mathematik ◽

10.1007/s002110050469 ◽

1999 ◽

Vol 84 (2) ◽

pp. 199-232 ◽

Author(s):

Ernst Hairer

Keyword(s):

Error Analysis ◽

Multistep Methods ◽

Backward Error Analysis ◽

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Backward Error Analysis and Structure Preservation

Springer Series in Computational Mathematics - Geometric Numerical Integration ◽

10.1007/3-540-30666-8_9 ◽

2006 ◽

pp. 337-388 ◽

Author(s):

Ernst Hairer ◽

Gerhard Wanner ◽

Christian Lubich

Keyword(s):

Error Analysis ◽

Backward Error Analysis ◽

Backward Error ◽

Structure Preservation

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Backward Error Analysis in Computational Geometry

Computational Science and Its Applications - ICCSA 2006 - Lecture Notes in Computer Science ◽

10.1007/11751540_6 ◽

2006 ◽

pp. 50-59 ◽

Author(s):

Di Jiang ◽

Neil F. Stewart

Keyword(s):

Computational Geometry ◽

Error Analysis ◽

Backward Error Analysis ◽

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Backward Error Analysis for Perturbation Methods

Algorithms and Complexity in Mathematics, Epistemology, and Science - Fields Institute Communications ◽

10.1007/978-1-4939-9051-1_3 ◽

2019 ◽

pp. 35-79

Author(s):

Robert M. Corless ◽

Nicolas Fillion

Keyword(s):

Error Analysis ◽

Perturbation Methods ◽

Backward Error Analysis ◽

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Aspects of backward error analysis of numerical ODEs

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(93)90265-d ◽

1993 ◽

Vol 45 (1-2) ◽

pp. 65-73 ◽

Author(s):

Timo Eirola

Keyword(s):

Error Analysis ◽

Backward Error Analysis ◽

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Refinement of thermostated molecular dynamics using backward error analysis

The Journal of Chemical Physics ◽

10.1063/1.5085441 ◽

2019 ◽

Vol 150 (11) ◽

pp. 114110 ◽

Author(s):

Ana J. Silveira ◽

Charlles R. A. Abreu

Keyword(s):

Molecular Dynamics ◽

Error Analysis ◽

Backward Error Analysis ◽

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Weak backward error analysis for stochastic Hamiltonian Systems

BIT Numerical Mathematics ◽

10.1007/s10543-019-00747-6 ◽

2019 ◽

Vol 59 (3) ◽

pp. 613-646 ◽

Author(s):

Cristina Anton

Keyword(s):

Error Analysis ◽

Hamiltonian Systems ◽

Backward Error Analysis ◽

Backward Error ◽

Stochastic Hamiltonian Systems

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The life-span of backward error analysis for numerical integrators

Numerische Mathematik ◽

10.1007/s002110050271 ◽

1997 ◽

Vol 76 (4) ◽

pp. 441-462 ◽

Author(s):

E. Hairer ◽

C. Lubich

Keyword(s):

Error Analysis ◽

Life Span ◽

Backward Error Analysis ◽

Backward Error ◽

Numerical Integrators

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