Matrix-free formulation of the stochastic Newmark method

Fischer, Cyril

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics AS CR(Prague), page 63-69

Abstract

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The response of an arbitrary discretized system to the random movement has been solved in probabilistic terms. The excitation has been defined as a combination of the time modulated band limited stationary random processes approximating the evolutionary power spectra of a true seismic record. The solution is based either on the modified version of the stochastic Newmark method or on the spectral differential decomposition of the excitation. Special attention has been paid to the applicability of the methods to the sparse problems, especially to their matrix-free formulation.

How to cite

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Fischer, Cyril. "Matrix-free formulation of the stochastic Newmark method." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2004. 63-69. <http://eudml.org/doc/271340>.

@inProceedings{Fischer2004,
abstract = {The response of an arbitrary discretized system to the random movement has been solved in probabilistic terms. The excitation has been defined as a combination of the time modulated band limited stationary random processes approximating the evolutionary power spectra of a true seismic record. The solution is based either on the modified version of the stochastic Newmark method or on the spectral differential decomposition of the excitation. Special attention has been paid to the applicability of the methods to the sparse problems, especially to their matrix-free formulation.},
author = {Fischer, Cyril},
booktitle = {Programs and Algorithms of Numerical Mathematics},
location = {Prague},
pages = {63-69},
publisher = {Institute of Mathematics AS CR},
title = {Matrix-free formulation of the stochastic Newmark method},
url = {http://eudml.org/doc/271340},
year = {2004},
}

TY - CLSWK
AU - Fischer, Cyril
TI - Matrix-free formulation of the stochastic Newmark method
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2004
CY - Prague
PB - Institute of Mathematics AS CR
SP - 63
EP - 69
AB - The response of an arbitrary discretized system to the random movement has been solved in probabilistic terms. The excitation has been defined as a combination of the time modulated band limited stationary random processes approximating the evolutionary power spectra of a true seismic record. The solution is based either on the modified version of the stochastic Newmark method or on the spectral differential decomposition of the excitation. Special attention has been paid to the applicability of the methods to the sparse problems, especially to their matrix-free formulation.
UR - http://eudml.org/doc/271340
ER -

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