Testing linear algebra software

Higham, Nicholas J.

doi:10.1007/978-1-5041-2940-4_8

Cited by 2 publications

(1 citation statement)

References 24 publications

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“…Intuitively, w measures the minimum variation that the matrix of the system and the right hand side vector should sustain to obtain the approximatedx solution. There is evidence in the literature that the component-wise backward error is more sensitive to instability than other metrics [12].…”

Section: Evaluating Numerical Stabilitymentioning

confidence: 98%

An Accurate and Efficient Frontal Solver for Fully-Coupled Hygro-Thermo-Mechanical Problems

Bianco

Bilardi

Pesavento

et al. 2002

Lecture Notes in Computer Science

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Solving fully-coupled non-linear hygro-thermo-mechanical problems relative to the behavior of concrete at high temperatures is nowadays a very interesting and challenging computational problem. These models require an extensive use of computational resources, such as main memory and computational time, due to the great number of variables and the numerical characteristics of the coefficients of the linear systems involved. In this paper a number of different variants of a frontal solver used within HITE-COSP, an application developed within the BRITE Euram III "HITECO" EU project, to solve multiphase porous media problems, are presented, evaluated and compared with respect to their numerical accuracy and performance. The final result of this activity is a new solver which is both much faster and more accurate than the original one. Specifically, the code runs over 5 times faster and numerical errors are reduced of up to three order of magnitude.

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Section: Evaluating Numerical Stabilitymentioning

confidence: 98%