A round-off error, also called rounding error, is the difference between the calculated approximation of a number and its exact mathematical value… (More)

Semantic Scholar uses AI to extract papers important to this topic.

2017

2017

- Sylvie Boldo, Florian Faissole, Alexandre Chapoutot
- 2017 IEEE 24th Symposium on Computer Arithmetic…
- 2017

Ordinary differential equations are ubiquitous in scientific computing. Solving exactly these equations is usually not possible… (More)

Is this relevant?

2016

2016

- Marat Dukhan, Richard W. Vuduc, E. Jason Riedy
- ArXiv
- 2016

We propose a new instruction (FPADDRE) that computes the round-off error in floating-point addition. We explain how this… (More)

Is this relevant?

2012

2012

- Julen Álvarez-Aramberri, David Pardo, Maciej Paszynski, Nathan O. Collier, Lisandro Dalcín, Victor M. Calo
- ICCS
- 2012

Round-off error analysis has been historically studied by analyzing the condition number of the associated matrix. By controlling… (More)

Is this relevant?

2010

2010

- Stuart Lynn
- 2010

The asymptotic behavior of the round-off error, which accumulates when the well-known iterative method of (point) successive over… (More)

Is this relevant?

2008

2008

- Fabienne Jézéquel, Jean Marie Chesneaux
- Computer Physics Communications
- 2008

The CADNA library enables one to estimate round-off error propagation using a probabilistic approach. With CADNA the numerical… (More)

Is this relevant?

2008

2008

- Gilles Vilmart
- J. Comput. Physics
- 2008

In several recent publications, numerical integrators based on Jacobi elliptic functions are proposed for solving the equations… (More)

Is this relevant?

2007

2007

- M. S. Khalid, M. R. Amin, M. M. Hossain, M. Sawkat Anwer
- 2007 10th international conference on computer…
- 2007

Cellular phone services billing for per minute tariff plan and 1-second pulse involve floating point division and multiplication… (More)

Is this relevant?

2002

2002

- Julien Langou, ·Miroslav Rozložnı́k
- 2002

In this paper we analyse the numerical behavior of the Gram-Schmidt orthogonalization process with reorthogonalization. Assuming… (More)

Is this relevant?

1975

1975

- Richard Goodman, Alan Feldstein
- Computing
- 1975

SeienA 1 undA 2 zufällige Gleitkommazahlen zu einer beliebigen Basis β mit einer logarithmischen Verteilung. Seir der… (More)

Is this relevant?

1958

1958

- Patrick C. Fischer
- ACM '58
- 1958

The routine described below is a modification of the Carnegie Tech (IT) Compiler system for the IBM-650, which will provide… (More)

Is this relevant?