1. bookVolume 25 (2015): Issue 4 (December 2015)
    Special issue: Complex Problems in High-Performance Computing Systems, Editors: Mauro Iacono, Joanna Kołodziej
Journal Details
License
Format
Journal
eISSN
2083-8492
First Published
05 Apr 2007
Publication timeframe
4 times per year
Languages
English
Open Access

Symbolic Computing in Probabilistic and Stochastic Analysis

Published Online: 30 Dec 2015
Volume & Issue: Volume 25 (2015) - Issue 4 (December 2015) - Special issue: Complex Problems in High-Performance Computing Systems, Editors: Mauro Iacono, Joanna Kołodziej
Page range: 961 - 973
Received: 17 Oct 2013
Journal Details
License
Format
Journal
eISSN
2083-8492
First Published
05 Apr 2007
Publication timeframe
4 times per year
Languages
English

Binder, K. and Heermann, D. (1997). Monte Carlo Simulation in Statistical Physics, Springer Verlag, Berlin/Heidelberg.10.1007/978-3-662-03336-4Search in Google Scholar

Bjorck, A. (1996). Numerical Methods for Least Squares Problems, SIAM, Philadelphia, PA.10.1137/1.9781611971484Search in Google Scholar

Brandt, S. (1999). Data Analysis Statistical and Computational Methods for Scientists and Engineers, Springer-Verlag, New York, NY.Search in Google Scholar

Burczyński, T. (1995). Boundary element method in stochastic shape design sensitivity analysis and identification of uncertain elastic solids, Engineering Analysis with Boundary Elements15(2): 151–160.10.1016/0955-7997(95)00013-ESearch in Google Scholar

Chakraverty, S. (2014). Mathematics of Uncertainty Modeling in the Analysis of Engineering and Science Problems, IGI Global, Hershey.10.4018/978-1-4666-4991-0Search in Google Scholar

Falsone, G. (2005). An extension of the Kazakov relationship for non-Gaussian random variables and its use in the non-linear stochastic dynamics, Probabilistic Engineering Mechanics20(1): 45–56.10.1016/j.probengmech.2004.06.001Search in Google Scholar

Feller, W. (1965). An Introduction to Probability Theory and Its Applications, Wiley, New York, NY.Search in Google Scholar

Grigoriu, M. (2000). Stochastic mechanics, International Journal of Solids and Structures37(1–2): 228–248.10.1016/S0020-7683(99)00088-8Search in Google Scholar

Hurtado, J. and Barbat, A. (1998). Monte-Carlo techniques in computational stochastic mechanics, Archives of Computer Methods in Engineering37(1): 3–30.10.1007/BF02736747Search in Google Scholar

Kamiński, M. (2005). Computational Mechanics of Composite Material, Springer-Verlag, London/New York, NY.Search in Google Scholar

Kamiński, M. (2013). The Stochastic Perturbation Method for Computational Mechanics, Wiley, Chichester.10.1002/9781118481844Search in Google Scholar

Kleiber, M. and Hien, T. (1992). The Stochastic Finite Element Method, Wiley, Chichester.Search in Google Scholar

Kwiatkowska, M., Norman, G., Sproston, J. and Wang, F. (2007). Symbolic model checking for probabilistic timed automata, Information and Computation205(7): 1027–1077.10.1016/j.ic.2007.01.004Search in Google Scholar

Kwiatkowska, M., Parker, D., Zhang, Y. and Mehmood, R. (2004). Dual-processor parallelisation of symbolic probabilistic model checking, 12th International Symposium Modeling, Analysis and simulation of Computer and Telecommunication Systems MASCOTS’04, Volendaam, The Netherlands, pp. 123–130.Search in Google Scholar

López, N., Nunez, M. and Rodriguez, I. (2006). Specification, testing and implementation relations for symbolic-probabilistic system, Theoretical Computer Science353(1–3): 228–248.10.1016/j.tcs.2005.10.047Search in Google Scholar

Melchers, R. (2002). Structural Reliability Analysis and Prediction, Wiley, Chichester.Search in Google Scholar

Moller, B. and Beer, M. (2004). Fuzzy Randomness. Uncertainty in Civil Engineering and Computational Mechanics, Springer-Verlag, Berlin/Heidelberg.10.1007/978-3-662-07358-2Search in Google Scholar

Nayfeh, A.H. (2000). Perturbation Method, Wiley-VCH Verlag GmbH, Weinheim.Search in Google Scholar

Peng, X., Geng, L., Liyan, W., Liu, G. and Lam, K. (1998). A stochastic finite element method for fatigue reliability analysis of gear teeth subjected to bending, Computational Mechanics21(3): 253–261.10.1007/s004660050300Search in Google Scholar

Sakata, S., Ashida, F., Kojima, T. and Zako, M. (2008). Three-dimensional stochastic analysis using a perturbation-based homogenization method for elastic properties of composite material considering microscopic uncertainty, International Journal of Solids and Structures45(3–4): 894–907.10.1016/j.ijsolstr.2007.09.008Search in Google Scholar

Schueller, G. (2007). On the treatment of uncertainties in structural mechanics and analysis, Computers and Structures85(5–6): 235–243.10.1016/j.compstruc.2006.10.009Search in Google Scholar

Shachter, R.D., D’Ambrosio, B. and Del Favero, B. (1990). Symbolic probabilistic inference in belief networks, Proceedings of the 8th National Conference on Artificial Intelligence AAAI-90, Boston, MA, USA, pp. 126–131.Search in Google Scholar

Shannon, C. (1948). A mathematical theory of communication, The Bell System Technical Journal27(4): 623–656.10.1002/j.1538-7305.1948.tb00917.xSearch in Google Scholar

Sobczyk, K. and Spencer, B. (1992). Random Fatigue: From Data to Theory, Academic Press, Boston, MA.10.1016/B978-0-12-654225-7.50004-7Search in Google Scholar

Spanos, P. and Ghanem, R. (1991). Stochastic Finite Elements. A Spectral Approach, Springer-Verlag, Berlin/Heidelberg.Search in Google Scholar

To, C. and Kiu, M. (1994). Random responses of discretized beams and plates by the stochastic central difference method with time co-ordinate transformation, Computers and Structures53(3): 727–738.10.1016/0045-7949(94)90114-7Search in Google Scholar

Van Noortwijk, J. and Frangopol, D. (2004). Two probabilistic life-cycle maintenance models for deteriorating civil infrastructures, Probabilistic Engineering Mechanics19(4): 345–359.10.1016/j.probengmech.2004.03.002Search in Google Scholar

Wiggins, J. (1987). Option values under stochastic volatility. Theory and empirical evidence, Journal of Financial Economics19(2): 351–372.Search in Google Scholar

Zienkiewicz, O. and Taylor, R. (2005). Finite Element Method for Solid and Structural Mechanics, Elsevier, Amsterdam.Search in Google Scholar

Recommended articles from Trend MD

Plan your remote conference with Sciendo