In software engineering and mathematics, numerical error is the combined effect of two kinds of error in a calculation. The first is caused by theâ€¦Â (More)

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2015

2015

- John Gustafson
- ARITH
- 2015

It is time to overthrow a century of methods based on floating point arithmetic. Current technical computing is based on theâ€¦Â (More)

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2014

2014

- Eva Darulova, Viktor Kuncak
- ArXiv
- 2014

Numerical software, common in scientific computing or embedded systems, inevitably uses an approximation of the real arithmeticâ€¦Â (More)

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2010

2010

- Enyi Tang, Earl T. Barr, Xuandong Li, Zhendong Su
- ISSTA
- 2010

Writing reliable software is difficult. It becomes even more difficult when writing scientific software involving floating-pointâ€¦Â (More)

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2008

2008

The numerical error associated with finite-difference simulation of wave propagation in discontinuous media consists of twoâ€¦Â (More)

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2007

2007

- Weihua Deng
- J. Comput. Physics
- 2007

Anomalous diffusion is one of the most ubiquitous phenomena in nature, and it is present in a wide variety of physical situationsâ€¦Â (More)

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2006

2006

- George A. Papakostas, Yiannis S. Boutalis, Constantin Papaodysseus, Dimitrios K. Fragoulis
- Image Vision Comput.
- 2006

An exact analysis of the numerical errors being generated during the computation of the Zernike moments, by using the well-knownâ€¦Â (More)

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2004

2004

- Shinichiro Ohnuki, Weng Cho Chew
- SIAM J. Scientific Computing
- 2004

The multilevel fast multipole algorithm is based on the multipole expansion, which has numerical error sources such as truncationâ€¦Â (More)

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2003

2003

- Paul Malliavin, Anton Thalmaier
- 2003

The principal part of the error in the Euler scheme for an SDE with smooth coefficients can be expressed as a generalizedâ€¦Â (More)

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Highly Cited

2000

Highly Cited

2000

- Haifeng Yu, Amin Vahdat
- VLDB
- 2000

The goal of this work is to support replicated network services that accept updates to numerical records from multiple wide-areaâ€¦Â (More)

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Highly Cited

1999

Highly Cited

1999

- Serge Prudhomme
- 1999

In this paper, we study a new approach in a posteriori error estimation, in which the numerical error of nite elementâ€¦Â (More)

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