A kinetic mathematical model of comprehensive iron metabolism in a respiring yeast cell: a basic-pathways approach to solving a large system dynamically. [PDF]
BiometalsLindahl PA, Walton JR.
europepmc +1 more source
Numerical simulation method for the assessment of the effect of molar activity on the pharmacokinetics of radioligands in small animals. [PDF]
EJNMMI Radiopharm ChemKikuchi T, Okamura T, Zhang MR.
europepmc +1 more source
Inferring intrinsic neural timescales using optimal control theory. [PDF]
Nat CommunKim JZ +9 more
europepmc +1 more source
Image-Based Pore Space and Pore Network Characterization: A Review of 2D/3D Workflow in Foods. [PDF]
J Food SciLuka BS +5 more
europepmc +1 more source
Assessment of unmixing approaches for the quantitation of SERS nanoparticles in highly multiplexed spectral images. [PDF]
J Raman SpectroscCzaja A +4 more
europepmc +1 more source
On Roundoff Error Growth in Elliptic Problems
ACM Transactions on Mathematical Software, 2018 Large-scale linear systems arise in finite-difference and finite-element discretizations of elliptic problems. With increasing computer performance, ever larger systems are solved using direct methods. How large can such systems be without roundoff compromising accuracy? Here we model roundoff dynamics in standard LU
Gustaf Söderlind, Ivo Babuska
exaly +4 more sources
Related searches:
On the statistics of fixed-point roundoff error
IEEE Transactions on Acoustics, Speech, and Signal Processing, 1985Roundoff error after fixed-point multiplication is commonly modeled as uniformly distributed white noise that is uncorrelated with the signal. This paper presents a statistical analysis of fixed-point roundoff error that identifies the conditions under which this model is valid, and examines the statistical behavior of roundoff error when these ...
Casper W. Barnes +2 more
exaly +3 more sources
A new iterative refinement with roundoff error analysis
Numerical Linear Algebra With Applications, 2011AbstractIn this paper we present a novel improvement of Wilkinson's iterative refinement for the solution of linear system by using stability results of numerical solution for a dynamic system associated with the linear system. The convergence analysis is shown and roundoff error analysis is considered for this new refinement. Numerical experiments are
Zhengyu Wang
exaly +4 more sources
On the variance of a centered random value roundoff error
Signal Processing, 2015We derive two expressions for roundoff error variance, one for a rounded off random value with a zero mean and a given variance under uniform distribution and another for such a value under a normal. Also, an expression for truncation error variance for values under uniform distribution is obtained.
exaly +2 more sources
Overflow and Roundoff Error Analysis via Model Checking [PDF]
, 2009 This paper proposes a framework for statically analyzing overflow and roundoff errors of C programs. First, a new range representation, "extended affine interval", is proposed to estimate overflow and roundoff errors.
Mizuhito Ogawa
exaly +2 more sources