Sargsyan, Khachik; Huan, Xun; Najm, Habib N. Embedded model error representation for Bayesian model calibration. (English) Zbl 1498.62336 Int. J. Uncertain. Quantif. 9, No. 4, 365-394 (2019). MSC: 62P30 60-08 62F15 PDFBibTeX XMLCite \textit{K. Sargsyan} et al., Int. J. Uncertain. Quantif. 9, No. 4, 365--394 (2019; Zbl 1498.62336) Full Text: DOI arXiv
Tsilifis, Panagiotis; Huan, Xun; Safta, Cosmin; Sargsyan, Khachik; Lacaze, Guilhem; Oefelein, Joseph C.; Najm, Habib N.; Ghanem, Roger G. Compressive sensing adaptation for polynomial chaos expansions. (English) Zbl 1451.62032 J. Comput. Phys. 380, 29-47 (2019). MSC: 62F15 35B30 35R60 76F80 PDFBibTeX XMLCite \textit{P. Tsilifis} et al., J. Comput. Phys. 380, 29--47 (2019; Zbl 1451.62032) Full Text: DOI arXiv
Rai, Prashant; Sargsyan, Khachik; Najm, Habib; Hirata, So Sparse low rank approximation of potential energy surfaces with applications in estimation of anharmonic zero point energies and frequencies. (English) Zbl 1422.81181 J. Math. Chem. 57, No. 7, 1732-1754 (2019). MSC: 81V55 35J08 42C05 35P05 70J10 PDFBibTeX XMLCite \textit{P. Rai} et al., J. Math. Chem. 57, No. 7, 1732--1754 (2019; Zbl 1422.81181) Full Text: DOI arXiv
Hakim, Layal; Lacaze, Guilhem; Khalil, Mohammad; Sargsyan, Khachik; Najm, Habib; Oefelein, Joseph Probabilistic parameter estimation in a 2-step chemical kinetics model for \(n\)-dodecane jet autoignition. (English) Zbl 1519.80248 Combust. Theory Model. 22, No. 3, 446-466 (2018). MSC: 80A30 62F10 62F15 80A25 PDFBibTeX XMLCite \textit{L. Hakim} et al., Combust. Theory Model. 22, No. 3, 446--466 (2018; Zbl 1519.80248) Full Text: DOI
Rai, P.; Sargsyan, K.; Najm, H. Compressed sparse tensor based quadrature for vibrational quantum mechanics integrals. (English) Zbl 1440.94016 Comput. Methods Appl. Mech. Eng. 336, 471-484 (2018). MSC: 94A12 65D30 PDFBibTeX XMLCite \textit{P. Rai} et al., Comput. Methods Appl. Mech. Eng. 336, 471--484 (2018; Zbl 1440.94016) Full Text: DOI Link
Huan, Xun; Safta, Cosmin; Sargsyan, Khachik; Vane, Zachary P.; Lacaze, Guilhem; Oefelein, Joseph C.; Najm, Habib N. Compressive sensing with cross-validation and stop-sampling for sparse polynomial chaos expansions. (English) Zbl 1403.62133 SIAM/ASA J. Uncertain. Quantif. 6, 907-936 (2018). MSC: 62J05 62J07 94A12 PDFBibTeX XMLCite \textit{X. Huan} et al., SIAM/ASA J. Uncertain. Quantif. 6, 907--936 (2018; Zbl 1403.62133) Full Text: DOI arXiv
Safta, Cosmin; Sargsyan, Khachik; Debusschere, Bert; Najm, Habib N. Hybrid discrete/continuum algorithms for stochastic reaction networks. (English) Zbl 1351.80014 J. Comput. Phys. 281, 177-198 (2015). MSC: 80M12 65M08 65C30 80A32 PDFBibTeX XMLCite \textit{C. Safta} et al., J. Comput. Phys. 281, 177--198 (2015; Zbl 1351.80014) Full Text: DOI
Salloum, Maher; Sargsyan, Khachik; Jones, Reese; Najm, Habib N.; Debusschere, Bert Quantifying sampling noise and parametric uncertainty in atomistic-to-continuum simulations using surrogate models. (English) Zbl 1329.65022 Multiscale Model. Simul. 13, No. 3, 953-976 (2015). MSC: 65C50 65C05 62F10 62F15 PDFBibTeX XMLCite \textit{M. Salloum} et al., Multiscale Model. Simul. 13, No. 3, 953--976 (2015; Zbl 1329.65022) Full Text: DOI Link
Sargsyan, Khachik; Rizzi, Francesco; Mycek, Paul; Safta, Cosmin; Morris, Karla; Najm, Habib; le Maître, Olivier; Knio, Omar; Debusschere, Bert Fault resilient domain decomposition preconditioner for PDEs. (English) Zbl 1357.65297 SIAM J. Sci. Comput. 37, No. 5, A2317-A2345 (2015). MSC: 65N55 35J25 62J05 68M15 PDFBibTeX XMLCite \textit{K. Sargsyan} et al., SIAM J. Sci. Comput. 37, No. 5, A2317--A2345 (2015; Zbl 1357.65297) Full Text: DOI
Sargsyan, Khachik; Safta, Cosmin; Najm, Habib N.; Debusschere, Bert J.; Ricciuto, Daniel; Thornton, Peter Dimensionality reduction for complex models via Bayesian compressive sensing. (English) Zbl 1513.65004 Int. J. Uncertain. Quantif. 4, No. 1, 63-93 (2014). MSC: 65C20 62F15 62-08 PDFBibTeX XMLCite \textit{K. Sargsyan} et al., Int. J. Uncertain. Quantif. 4, No. 1, 63--93 (2014; Zbl 1513.65004) Full Text: DOI
Rizzi, F.; Najm, H. N.; Debusschere, B. J.; Sargsyan, K.; Salloum, M.; Adalsteinsson, H.; Knio, O. M. Uncertainty quantification in MD simulations. II: Bayesian inference of force-field parameters. (English) Zbl 1304.62152 Multiscale Model. Simul. 10, No. 4, 1460-1492 (2012). MSC: 62P35 82D15 60G15 62F15 62C10 65C40 74F05 82C05 82C22 PDFBibTeX XMLCite \textit{F. Rizzi} et al., Multiscale Model. Simul. 10, No. 4, 1460--1492 (2012; Zbl 1304.62152) Full Text: DOI
Rizzi, F.; Najm, H. N.; Debusschere, B. J.; Sargsyan, K.; Salloum, M.; Adalsteinsson, H.; Knio, O. M. Uncertainty quantification in MD simulations. I: Forward propagation. (English) Zbl 1304.62151 Multiscale Model. Simul. 10, No. 4, 1428-1459 (2012). MSC: 62P35 82D15 60G15 62F15 62C10 65C40 74F05 82C05 82C22 PDFBibTeX XMLCite \textit{F. Rizzi} et al., Multiscale Model. Simul. 10, No. 4, 1428--1459 (2012; Zbl 1304.62151) Full Text: DOI
Salloum, Maher; Sargsyan, Khachik; Jones, Reese; Debusschere, Bert; Najm, Habib N.; Adalsteinsson, Helgi A stochastic multiscale coupling scheme to account for sampling noise in atomistic-to-continuum simulations. (English) Zbl 1253.76037 Multiscale Model. Simul. 10, No. 2, 550-584 (2012). MSC: 76D99 74A25 62P30 62F15 65C20 PDFBibTeX XMLCite \textit{M. Salloum} et al., Multiscale Model. Simul. 10, No. 2, 550--584 (2012; Zbl 1253.76037) Full Text: DOI
Sargsyan, Khachik; Safta, Cosmin; Debusschere, Bert; Najm, Habib Uncertainty quantification given discontinuous model response and a limited number of model runs. (English) Zbl 1237.62035 SIAM J. Sci. Comput. 34, No. 1, B44-B64 (2012). MSC: 62F15 62M99 37N99 65C60 33C90 PDFBibTeX XMLCite \textit{K. Sargsyan} et al., SIAM J. Sci. Comput. 34, No. 1, B44--B64 (2012; Zbl 1237.62035) Full Text: DOI
Sargsyan, Khachik; Debusschere, Bert; Najm, Habib; Le Maître, Olivier Spectral representation and reduced order modeling of the dynamics of stochastic reaction networks via adaptive data partitioning. (English) Zbl 1206.60043 SIAM J. Sci. Comput. 31, No. 6, 4395-4421 (2010). MSC: 60G35 65C20 33C45 62H30 62G07 PDFBibTeX XMLCite \textit{K. Sargsyan} et al., SIAM J. Sci. Comput. 31, No. 6, 4395--4421 (2010; Zbl 1206.60043) Full Text: DOI