Add to ORKGIn this paper we propose a method for computing the Faddeeva function $w(z) := \re^{-z^2}\erfc(-\ri...
Multiple-precision calculation is necessary for precisely solving scientific engineering problems. E...
International audienceThe accuracy analysis of complex floating-point multiplication done by Brent, ...
AbstractThe only published error analysis for an approximation algorithm computing the Riemann zeta-...
The evaluation of special functions often involves the evaluation of numerical constants. When the p...
1. Let $s$ be a real number. We prove that, if $s\ge1/2$, $s\not=1$ and $s$ can be written with $D_s...
Gautschi has developed an algorithm that calculates the value of the Faddeeva function w(z) for a gi...
Given floating-point arithmetic with t-digit base-β significands in which all arithmetic operations ...
International audienceWe study the accuracy of a classical approach to computing complex square-root...
The version available on the HAL server is slightly different from the published version because it ...
International audienceWe present an implementation of arbitrary-precision numerical integration with...
In our recent publication [1] we presented an exponential series approximation suitable for highly a...
AbstractIn this paper, a mixed quadrature rule of degree of precision seven is formed for analytic f...
Computer users, most of whom assume they are working with reliable routines, unwittingly accept resu...
In this paper we present two efficient approximations for the complex error function w (z) with smal...
In this paper we propose a method for computing the Faddeeva function $w(z) := \re^{-z^2}\erfc(-\ri...
Multiple-precision calculation is necessary for precisely solving scientific engineering problems. E...
International audienceThe accuracy analysis of complex floating-point multiplication done by Brent, ...
AbstractThe only published error analysis for an approximation algorithm computing the Riemann zeta-...
The evaluation of special functions often involves the evaluation of numerical constants. When the p...
1. Let $s$ be a real number. We prove that, if $s\ge1/2$, $s\not=1$ and $s$ can be written with $D_s...
Gautschi has developed an algorithm that calculates the value of the Faddeeva function w(z) for a gi...
Given floating-point arithmetic with t-digit base-β significands in which all arithmetic operations ...
International audienceWe study the accuracy of a classical approach to computing complex square-root...
The version available on the HAL server is slightly different from the published version because it ...
International audienceWe present an implementation of arbitrary-precision numerical integration with...
In our recent publication [1] we presented an exponential series approximation suitable for highly a...
AbstractIn this paper, a mixed quadrature rule of degree of precision seven is formed for analytic f...
Computer users, most of whom assume they are working with reliable routines, unwittingly accept resu...
In this paper we present two efficient approximations for the complex error function w (z) with smal...
In this paper we propose a method for computing the Faddeeva function $w(z) := \re^{-z^2}\erfc(-\ri...
Multiple-precision calculation is necessary for precisely solving scientific engineering problems. E...
International audienceThe accuracy analysis of complex floating-point multiplication done by Brent, ...