Chen, Yi-Ping; Wang, Liwei; Comlek, Yigitcan; Chen, Wei A latent variable approach for non-hierarchical multi-fidelity adaptive sampling. (English) Zbl 07824871 Comput. Methods Appl. Mech. Eng. 421, Article ID 116773, 26 p. (2024). MSC: 62-XX 90-XX PDFBibTeX XMLCite \textit{Y.-P. Chen} et al., Comput. Methods Appl. Mech. Eng. 421, Article ID 116773, 26 p. (2024; Zbl 07824871) Full Text: DOI arXiv
Dapšys, Ignas; Čiegis, Raimondas; Starikovičius, Vadimas Applying artificial neural networks to solve the inverse problem of evaluating concentrations in multianalyte mixtures from biosensor signals. (English) Zbl 07824368 Nonlinear Anal., Model. Control 29, No. 1, 53-70 (2024). MSC: 76-XX 90-XX PDFBibTeX XMLCite \textit{I. Dapšys} et al., Nonlinear Anal., Model. Control 29, No. 1, 53--70 (2024; Zbl 07824368) Full Text: DOI
Li, Yangtian; Luo, Yangjun; Zhong, Zheng An active sparse polynomial chaos expansion approach based on sequential relevance vector machine. (English) Zbl 07823439 Comput. Methods Appl. Mech. Eng. 418, Part B, Article ID 116554, 20 p. (2024). MSC: 68-XX 90-XX PDFBibTeX XMLCite \textit{Y. Li} et al., Comput. Methods Appl. Mech. Eng. 418, Part B, Article ID 116554, 20 p. (2024; Zbl 07823439) Full Text: DOI
Lee, Mingyu; Noh, Yoojeong; Lee, Ikjin A novel sampling method for adaptive gradient-enhanced kriging. (English) Zbl 07822112 Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116456, 21 p. (2024). MSC: 90-XX 92-XX PDFBibTeX XMLCite \textit{M. Lee} et al., Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116456, 21 p. (2024; Zbl 07822112) Full Text: DOI
Hong, Xiaolin; Wei, Yiheng; Zhou, Shuaiyu; Yue, Dongdong Nabla fractional distributed optimization algorithms over undirected/directed graphs. (English) Zbl 07816117 J. Franklin Inst. 361, No. 3, 1436-1454 (2024). MSC: 90C25 05C90 90C35 93A16 PDFBibTeX XMLCite \textit{X. Hong} et al., J. Franklin Inst. 361, No. 3, 1436--1454 (2024; Zbl 07816117) Full Text: DOI
Wang, Yibin; Wang, Haifeng Distributionally robust unsupervised domain adaptation. (English) Zbl 07738635 J. Comput. Appl. Math. 436, Article ID 115369, 13 p. (2024). MSC: 68Txx 90Cxx 62Gxx PDFBibTeX XMLCite \textit{Y. Wang} and \textit{H. Wang}, J. Comput. Appl. Math. 436, Article ID 115369, 13 p. (2024; Zbl 07738635) Full Text: DOI
Jeong, Hyogu; Batuwatta-Gamage, Chanaka; Bai, Jinshuai; Xie, Yi Min; Rathnayaka, Charith; Zhou, Ying; Gu, YuanTong A complete physics-informed neural network-based framework for structural topology optimization. (English) Zbl 07804965 Comput. Methods Appl. Mech. Eng. 417, Part A, Article ID 116401, 22 p. (2023). MSC: 90-XX 74-XX PDFBibTeX XMLCite \textit{H. Jeong} et al., Comput. Methods Appl. Mech. Eng. 417, Part A, Article ID 116401, 22 p. (2023; Zbl 07804965) Full Text: DOI
Bian, Chao; Wang, Xiaofang; Shao, Wenyang; Xin, Jianchi; Hu, Rui; Lu, Yeming; Liu, Haitao Adaptive confidence bound based Bayesian optimization via potentially optimal Lipschitz conditions. (English) Zbl 07804683 Eng. Optim. 55, No. 12, 2051-2069 (2023). MSC: 90-XX PDFBibTeX XMLCite \textit{C. Bian} et al., Eng. Optim. 55, No. 12, 2051--2069 (2023; Zbl 07804683) Full Text: DOI
Romor, Francesco; Tezzele, Marco; Mrosek, Markus; Othmer, Carsten; Rozza, Gianluigi Multi-fidelity data fusion through parameter space reduction with applications to automotive engineering. (English) Zbl 07801064 Int. J. Numer. Methods Eng. 124, No. 23, 5293-5311 (2023). MSC: 41Axx 90Cxx 65Cxx PDFBibTeX XMLCite \textit{F. Romor} et al., Int. J. Numer. Methods Eng. 124, No. 23, 5293--5311 (2023; Zbl 07801064) Full Text: DOI arXiv OA License
Xue, Haoxiang; Gobbi, Massimiliano; Matta, Andrea Multi-fidelity surrogate-based optimal design of road vehicle suspension systems. (English) Zbl 07766654 Optim. Eng. 24, No. 4, 2773-2794 (2023). MSC: 90C29 90C90 PDFBibTeX XMLCite \textit{H. Xue} et al., Optim. Eng. 24, No. 4, 2773--2794 (2023; Zbl 07766654) Full Text: DOI OA License
Bertsimas, Dimitris; Gurnee, Wes Learning sparse nonlinear dynamics via mixed-integer optimization. (English) Zbl 1523.37082 Nonlinear Dyn. 111, No. 7, 6585-6604 (2023). MSC: 37M10 62J05 65K05 90C11 93B30 PDFBibTeX XMLCite \textit{D. Bertsimas} and \textit{W. Gurnee}, Nonlinear Dyn. 111, No. 7, 6585--6604 (2023; Zbl 1523.37082) Full Text: DOI arXiv
Zhang, Yao-jia; Chen, Tao; Huang, Nan-jing; Li, Xue-song Euler scheme for solving a class of stochastic differential variational inequalities with some applications. (English) Zbl 1523.65009 Commun. Nonlinear Sci. Numer. Simul. 127, Article ID 107577, 17 p. (2023). MSC: 65C30 60H10 49J40 90C33 91A15 PDFBibTeX XMLCite \textit{Y.-j. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 127, Article ID 107577, 17 p. (2023; Zbl 1523.65009) Full Text: DOI
Shin, Yeonjong; Darbon, Jérôme; Karniadakis, George Em Accelerating gradient descent and Adam via fractional gradients. (English) Zbl 07755615 Neural Netw. 161, 185-201 (2023). Reviewer: Haydar Akca (Abu Dhabi) MSC: 90C26 90C20 PDFBibTeX XMLCite \textit{Y. Shin} et al., Neural Netw. 161, 185--201 (2023; Zbl 07755615) Full Text: DOI
Dolgov, Sergey; Kalise, Dante; Saluzzi, Luca Data-driven tensor train gradient cross approximation for Hamilton-Jacobi-Bellman equations. (English) Zbl 1523.49037 SIAM J. Sci. Comput. 45, No. 5, A2153-A2184 (2023). MSC: 49N35 90C39 35F21 49K15 65K05 PDFBibTeX XMLCite \textit{S. Dolgov} et al., SIAM J. Sci. Comput. 45, No. 5, A2153--A2184 (2023; Zbl 1523.49037) Full Text: DOI arXiv
Hebbal, Ali; Balesdent, Mathieu; Brevault, Loïc; Melab, Nouredine; Talbi, El-Ghazali Deep Gaussian process for multi-objective Bayesian optimization. (English) Zbl 07739471 Optim. Eng. 24, No. 3, 1809-1848 (2023). MSC: 90C29 90C30 90C90 PDFBibTeX XMLCite \textit{A. Hebbal} et al., Optim. Eng. 24, No. 3, 1809--1848 (2023; Zbl 07739471) Full Text: DOI
Kolditz, Leon; Mang, Katrin; Wick, Thomas A modified combined active-set Newton method for solving phase-field fracture into the monolithic limit. (English) Zbl 07725708 Comput. Methods Appl. Mech. Eng. 414, Article ID 116170, 41 p. (2023). MSC: 90-XX 76-XX PDFBibTeX XMLCite \textit{L. Kolditz} et al., Comput. Methods Appl. Mech. Eng. 414, Article ID 116170, 41 p. (2023; Zbl 07725708) Full Text: DOI arXiv
Pantidis, Panos; Eldababy, Habiba; Tagle, Christopher Miguel; Mobasher, Mostafa E. Error convergence and engineering-guided hyperparameter search of PINNs: towards optimized I-FENN performance. (English) Zbl 07725698 Comput. Methods Appl. Mech. Eng. 414, Article ID 116160, 37 p. (2023). MSC: 90-XX 65-XX PDFBibTeX XMLCite \textit{P. Pantidis} et al., Comput. Methods Appl. Mech. Eng. 414, Article ID 116160, 37 p. (2023; Zbl 07725698) Full Text: DOI arXiv
Nurbekyan, Levon; Lei, Wanzhou; Yang, Yunan Efficient natural gradient descent methods for large-scale PDE-based optimization problems. (English) Zbl 1515.65171 SIAM J. Sci. Comput. 45, No. 4, A1621-A1655 (2023). MSC: 65K10 49M15 49M41 90C26 49Q22 PDFBibTeX XMLCite \textit{L. Nurbekyan} et al., SIAM J. Sci. Comput. 45, No. 4, A1621--A1655 (2023; Zbl 1515.65171) Full Text: DOI arXiv
Basir, Shamsulhaq Investigating and mitigating failure modes in physics-informed neural networks (PINNs). (English) Zbl 1514.65146 Commun. Comput. Phys. 33, No. 5, 1240-1269 (2023). MSC: 65M99 35E05 35E15 68T07 90C30 90C47 90C90 PDFBibTeX XMLCite \textit{S. Basir}, Commun. Comput. Phys. 33, No. 5, 1240--1269 (2023; Zbl 1514.65146) Full Text: DOI arXiv
Guo, Jiawei; Yao, Yanzhong; Wang, Han; Gu, Tongxiang Pre-training strategy for solving evolution equations based on physics-informed neural networks. (English) Zbl 07705900 J. Comput. Phys. 489, Article ID 112258, 19 p. (2023). MSC: 65Mxx 68Txx 90Cxx PDFBibTeX XMLCite \textit{J. Guo} et al., J. Comput. Phys. 489, Article ID 112258, 19 p. (2023; Zbl 07705900) Full Text: DOI arXiv
Zhang, N.; Liu, J. K.; Zhang, L. Q.; Lu, Z. L. A fast inertial self-adaptive projection based algorithm for solving large-scale nonlinear monotone equations. (English) Zbl 1517.65037 J. Comput. Appl. Math. 426, Article ID 115087, 12 p. (2023). MSC: 65H10 65K05 90C30 PDFBibTeX XMLCite \textit{N. Zhang} et al., J. Comput. Appl. Math. 426, Article ID 115087, 12 p. (2023; Zbl 1517.65037) Full Text: DOI
Wentz, Jacqueline; Doostan, Alireza Derivative-based SINDy (DSINDy): addressing the challenge of discovering governing equations from noisy data. (English) Zbl 07697909 Comput. Methods Appl. Mech. Eng. 413, Article ID 116096, 39 p. (2023). MSC: 62J07 65D10 34A55 37M10 90C25 15A04 PDFBibTeX XMLCite \textit{J. Wentz} and \textit{A. Doostan}, Comput. Methods Appl. Mech. Eng. 413, Article ID 116096, 39 p. (2023; Zbl 07697909) Full Text: DOI arXiv
Heldmann, Fabian; Berkhahn, Sarah; Ehrhardt, Matthias; Klamroth, Kathrin PINN training using biobjective optimization: the trade-off between data loss and residual loss. (English) Zbl 07696976 J. Comput. Phys. 488, Article ID 112211, 21 p. (2023). MSC: 65Mxx 68Txx 90Cxx PDFBibTeX XMLCite \textit{F. Heldmann} et al., J. Comput. Phys. 488, Article ID 112211, 21 p. (2023; Zbl 07696976) Full Text: DOI arXiv
Wang, Kang; Zhang, Lei; Tang, Shaoqiang Discovery of PDEs driven by data with sharp gradient or discontinuity. (English) Zbl 07692033 Comput. Math. Appl. 140, 33-43 (2023). MSC: 65M06 35L65 90C30 74-XX 76D05 PDFBibTeX XMLCite \textit{K. Wang} et al., Comput. Math. Appl. 140, 33--43 (2023; Zbl 07692033) Full Text: DOI
Mostajeran, F.; Hosseini, S. M. Radial basis function neural network (RBFNN) approximation of Cauchy inverse problems of the Laplace equation. (English) Zbl 07691972 Comput. Math. Appl. 141, 129-144 (2023). MSC: 65-XX 35R30 68T05 65N21 90C25 65M06 PDFBibTeX XMLCite \textit{F. Mostajeran} and \textit{S. M. Hosseini}, Comput. Math. Appl. 141, 129--144 (2023; Zbl 07691972) Full Text: DOI
Abouhussein, Ahmed; Peet, Yulia T. Computational framework for efficient high-fidelity optimization of bio-inspired propulsion and its application to accelerating swimmers. (English) Zbl 07679167 J. Comput. Phys. 482, Article ID 112038, 30 p. (2023). MSC: 76Mxx 76Zxx 90Cxx PDFBibTeX XMLCite \textit{A. Abouhussein} and \textit{Y. T. Peet}, J. Comput. Phys. 482, Article ID 112038, 30 p. (2023; Zbl 07679167) Full Text: DOI
Wilhelm, Matthew E.; Wang, Chenyu; Stuber, Matthew D. Convex and concave envelopes of artificial neural network activation functions for deterministic global optimization. (English) Zbl 1515.90109 J. Glob. Optim. 85, No. 3, 569-594 (2023). MSC: 90C26 68T05 PDFBibTeX XMLCite \textit{M. E. Wilhelm} et al., J. Glob. Optim. 85, No. 3, 569--594 (2023; Zbl 1515.90109) Full Text: DOI
De Marchi, Alberto; Dreves, Axel; Gerdts, Matthias; Gottschalk, Simon; Rogovs, Sergejs A function approximation approach for parametric optimization. (English) Zbl 1518.90112 J. Optim. Theory Appl. 196, No. 1, 56-77 (2023). Reviewer: Juan-Enrique Martínez-Legaz (Barcelona) MSC: 90C31 65D12 PDFBibTeX XMLCite \textit{A. De Marchi} et al., J. Optim. Theory Appl. 196, No. 1, 56--77 (2023; Zbl 1518.90112) Full Text: DOI
Li, Angran; Zhang, Yongjie Jessica Isogeometric analysis-based physics-informed graph neural network for studying traffic jam in neurons. (English) Zbl 07644198 Comput. Methods Appl. Mech. Eng. 403, Part A, Article ID 115757, 21 p. (2023). MSC: 92-XX 90-XX PDFBibTeX XMLCite \textit{A. Li} and \textit{Y. J. Zhang}, Comput. Methods Appl. Mech. Eng. 403, Part A, Article ID 115757, 21 p. (2023; Zbl 07644198) Full Text: DOI
Ashwin Renganathan, S.; Rao, Vishwas; Navon, Ionel M. CAMERA: a method for cost-aware, adaptive, multifidelity, efficient reliability analysis. (English) Zbl 07620378 J. Comput. Phys. 472, Article ID 111698, 25 p. (2023). MSC: 65Cxx 90Cxx 62Gxx PDFBibTeX XMLCite \textit{S. Ashwin Renganathan} et al., J. Comput. Phys. 472, Article ID 111698, 25 p. (2023; Zbl 07620378) Full Text: DOI arXiv
Hu, Mengqi; Lou, Yifei; Yang, Xiu A general framework of rotational sparse approximation in uncertainty quantification. (English) Zbl 1511.41003 SIAM/ASA J. Uncertain. Quantif. 10, 1410-1434 (2022). MSC: 41A10 65C30 90C26 PDFBibTeX XMLCite \textit{M. Hu} et al., SIAM/ASA J. Uncertain. Quantif. 10, 1410--1434 (2022; Zbl 1511.41003) Full Text: DOI arXiv
Nagaraj, Sriram Optimization and learning with nonlocal calculus. (English) Zbl 1496.65072 Found. Data Sci. 4, No. 3, 323-353 (2022). MSC: 65K05 68T09 90C30 PDFBibTeX XMLCite \textit{S. Nagaraj}, Found. Data Sci. 4, No. 3, 323--353 (2022; Zbl 1496.65072) Full Text: DOI arXiv
Calandra, H.; Gratton, S.; Riccietti, E.; Vasseur, X. On a multilevel Levenberg-Marquardt method for the training of artificial neural networks and its application to the solution of partial differential equations. (English) Zbl 1501.90093 Optim. Methods Softw. 37, No. 1, 361-386 (2022). MSC: 90C30 68T05 PDFBibTeX XMLCite \textit{H. Calandra} et al., Optim. Methods Softw. 37, No. 1, 361--386 (2022; Zbl 1501.90093) Full Text: DOI
Vacek, Lukáš; Kučera, Václav Discontinuous Galerkin method for macroscopic traffic flow models on networks. (English) Zbl 1513.65383 Commun. Appl. Math. Comput. 4, No. 3, 986-1010 (2022). MSC: 65M60 65M06 65N30 76A30 35L04 90B20 35R02 PDFBibTeX XMLCite \textit{L. Vacek} and \textit{V. Kučera}, Commun. Appl. Math. Comput. 4, No. 3, 986--1010 (2022; Zbl 1513.65383) Full Text: DOI arXiv
Ainsworth, Mark; Shin, Yeonjong Active neuron least squares: a training method for multivariate rectified neural networks. (English) Zbl 1492.65157 SIAM J. Sci. Comput. 44, No. 4, A2253-A2275 (2022). MSC: 65K05 68T07 90C30 PDFBibTeX XMLCite \textit{M. Ainsworth} and \textit{Y. Shin}, SIAM J. Sci. Comput. 44, No. 4, A2253--A2275 (2022; Zbl 1492.65157) Full Text: DOI
Boso, F.; Tartakovsky, D. M. Information geometry of physics-informed statistical manifolds and its use in data assimilation. (English) Zbl 07568542 J. Comput. Phys. 467, Article ID 111438, 18 p. (2022). MSC: 90Cxx 65Cxx 68Txx PDFBibTeX XMLCite \textit{F. Boso} and \textit{D. M. Tartakovsky}, J. Comput. Phys. 467, Article ID 111438, 18 p. (2022; Zbl 07568542) Full Text: DOI arXiv
Hwang, Hyung Ju; Son, Hwijae Lagrangian dual framework for conservative neural network solutions of kinetic equations. (English) Zbl 1491.82010 Kinet. Relat. Models 15, No. 4, 551-568 (2022). MSC: 82B40 68T05 90C31 PDFBibTeX XMLCite \textit{H. J. Hwang} and \textit{H. Son}, Kinet. Relat. Models 15, No. 4, 551--568 (2022; Zbl 1491.82010) Full Text: DOI arXiv
Herty, Michael; Trimborn, Torsten; Visconti, Giuseppe Mean-field and kinetic descriptions of neural differential equations. (English) Zbl 1489.35280 Found. Data Sci. 4, No. 2, 271-298 (2022). MSC: 35Q83 35Q84 90C31 92B20 PDFBibTeX XMLCite \textit{M. Herty} et al., Found. Data Sci. 4, No. 2, 271--298 (2022; Zbl 1489.35280) Full Text: DOI arXiv
Fackeldey, Konstantin; Oster, Mathias; Sallandt, Leon; Schneider, Reinhold Approximative policy iteration for exit time feedback control problems driven by stochastic differential equations using tensor train format. (English) Zbl 1492.93196 Multiscale Model. Simul. 20, No. 1, 379-403 (2022). MSC: 93E20 93B52 65C30 90C39 PDFBibTeX XMLCite \textit{K. Fackeldey} et al., Multiscale Model. Simul. 20, No. 1, 379--403 (2022; Zbl 1492.93196) Full Text: DOI arXiv
Basir, Shamsulhaq; Senocak, Inanc Physics and equality constrained artificial neural networks: application to forward and inverse problems with multi-fidelity data fusion. (English) Zbl 07536791 J. Comput. Phys. 463, Article ID 111301, 18 p. (2022). MSC: 68Txx 90Cxx 92Cxx PDFBibTeX XMLCite \textit{S. Basir} and \textit{I. Senocak}, J. Comput. Phys. 463, Article ID 111301, 18 p. (2022; Zbl 07536791) Full Text: DOI arXiv
Herty, Michael; Iacomini, Elisa Uncertainty quantification in hierarchical vehicular flow models. (English) Zbl 1490.35552 Kinet. Relat. Models 15, No. 2, 239-256 (2022). MSC: 35R60 76A30 90B20 35Q20 35Q70 PDFBibTeX XMLCite \textit{M. Herty} and \textit{E. Iacomini}, Kinet. Relat. Models 15, No. 2, 239--256 (2022; Zbl 1490.35552) Full Text: DOI arXiv
Brinkerhoff, Douglas J. Variational inference at glacier scale. (English) Zbl 07525116 J. Comput. Phys. 459, Article ID 111095, 24 p. (2022). MSC: 90Cxx 86Axx 76Mxx PDFBibTeX XMLCite \textit{D. J. Brinkerhoff}, J. Comput. Phys. 459, Article ID 111095, 24 p. (2022; Zbl 07525116) Full Text: DOI arXiv
Morita, Y.; Rezaeiravesh, S.; Tabatabaei, N.; Vinuesa, R.; Fukagata, K.; Schlatter, P. Applying Bayesian optimization with Gaussian process regression to computational fluid dynamics problems. (English) Zbl 07524785 J. Comput. Phys. 449, Article ID 110788, 24 p. (2022). MSC: 90Cxx 76Mxx 76Dxx PDFBibTeX XMLCite \textit{Y. Morita} et al., J. Comput. Phys. 449, Article ID 110788, 24 p. (2022; Zbl 07524785) Full Text: DOI arXiv
Bachi, Katia; Chauvière, Cédric; Djellout, Hacène; Abbas, Karim Propagation of epistemic uncertainty in queueing models with unreliable server using chaos expansions. (English) Zbl 1491.90034 Commun. Stat., Simulation Comput. 50, No. 4, 1039-1061 (2021). MSC: 90B22 60K25 65C05 PDFBibTeX XMLCite \textit{K. Bachi} et al., Commun. Stat., Simulation Comput. 50, No. 4, 1039--1061 (2021; Zbl 1491.90034) Full Text: DOI arXiv
Mitusch, Sebastian K.; Funke, Simon W.; Kuchta, Miroslav Hybrid FEM-NN models: combining artificial neural networks with the finite element method. (English) Zbl 07516461 J. Comput. Phys. 446, Article ID 110651, 21 p. (2021). MSC: 65Mxx 68Txx 90Cxx PDFBibTeX XMLCite \textit{S. K. Mitusch} et al., J. Comput. Phys. 446, Article ID 110651, 21 p. (2021; Zbl 07516461) Full Text: DOI arXiv
Xiao, Tianbai; Frank, Martin Using neural networks to accelerate the solution of the Boltzmann equation. (English) Zbl 07515420 J. Comput. Phys. 443, Article ID 110521, 22 p. (2021). MSC: 68Txx 76Pxx 90Cxx PDFBibTeX XMLCite \textit{T. Xiao} and \textit{M. Frank}, J. Comput. Phys. 443, Article ID 110521, 22 p. (2021; Zbl 07515420) Full Text: DOI arXiv
Hyde, David A. B.; Bao, Michael; Fedkiw, Ronald On obtaining sparse semantic solutions for inverse problems, control, and neural network training. (English) Zbl 07515412 J. Comput. Phys. 443, Article ID 110498, 29 p. (2021). MSC: 90Cxx 68Txx 65Kxx PDFBibTeX XMLCite \textit{D. A. B. Hyde} et al., J. Comput. Phys. 443, Article ID 110498, 29 p. (2021; Zbl 07515412) Full Text: DOI
Sheng, Hailong; Yang, Chao PFNN: a penalty-free neural network method for solving a class of second-order boundary-value problems on complex geometries. (English) Zbl 07511439 J. Comput. Phys. 428, Article ID 110085, 13 p. (2021). MSC: 65-XX 90-XX PDFBibTeX XMLCite \textit{H. Sheng} and \textit{C. Yang}, J. Comput. Phys. 428, Article ID 110085, 13 p. (2021; Zbl 07511439) Full Text: DOI arXiv
Blanchard, Antoine; Sapsis, Themistoklis Bayesian optimization with output-weighted optimal sampling. (English) Zbl 07508498 J. Comput. Phys. 425, Article ID 109901, 16 p. (2021). MSC: 90-XX 94-XX PDFBibTeX XMLCite \textit{A. Blanchard} and \textit{T. Sapsis}, J. Comput. Phys. 425, Article ID 109901, 16 p. (2021; Zbl 07508498) Full Text: DOI arXiv
Dong, Suchuan; Ni, Naxian A method for representing periodic functions and enforcing exactly periodic boundary conditions with deep neural networks. (English) Zbl 07503727 J. Comput. Phys. 435, Article ID 110242, 30 p. (2021). MSC: 65Mxx 76Mxx 90Cxx PDFBibTeX XMLCite \textit{S. Dong} and \textit{N. Ni}, J. Comput. Phys. 435, Article ID 110242, 30 p. (2021; Zbl 07503727) Full Text: DOI arXiv
Ameur, Lounes; Bachioua, Lahcene Sensitivity analysis of queueing models based on polynomial chaos approach. (English) Zbl 1475.90017 Arab. J. Math. 10, No. 3, 527-542 (2021). MSC: 90B22 60J22 60K20 60K25 65C05 05D40 PDFBibTeX XMLCite \textit{L. Ameur} and \textit{L. Bachioua}, Arab. J. Math. 10, No. 3, 527--542 (2021; Zbl 1475.90017) Full Text: DOI
Archetti, F.; Candelieri, A.; Galuzzi, B. G.; Perego, R. Learning enabled constrained black-box optimization. (English) Zbl 07404582 Pardalos, Panos M. (ed.) et al., Black box optimization, machine learning, and no-free lunch theorems. Cham: Springer. Springer Optim. Appl. 170, 1-33 (2021). MSC: 68T05 90C59 PDFBibTeX XMLCite \textit{F. Archetti} et al., Springer Optim. Appl. 170, 1--33 (2021; Zbl 07404582) Full Text: DOI
Xiang, Yongyong; Pan, Baisong; Luo, Luping A sensitivity analysis method to evaluate the impacts of random and interval variables on the probability box. (English) Zbl 1481.62045 Appl. Math. Modelling 93, 538-562 (2021). MSC: 62J99 62P30 90C31 90C90 PDFBibTeX XMLCite \textit{Y. Xiang} et al., Appl. Math. Modelling 93, 538--562 (2021; Zbl 1481.62045) Full Text: DOI
Boso, Francesca; Boskos, Dimitris; Cortés, Jorge; Martínez, Sonia; Tartakovsky, Daniel M. Dynamics of data-driven ambiguity sets for hyperbolic conservation laws with uncertain inputs. (English) Zbl 1467.35366 SIAM J. Sci. Comput. 43, No. 3, A2102-A2129 (2021). MSC: 35R60 35L65 60H15 68T37 90C15 90C90 PDFBibTeX XMLCite \textit{F. Boso} et al., SIAM J. Sci. Comput. 43, No. 3, A2102--A2129 (2021; Zbl 1467.35366) Full Text: DOI arXiv
Dolgov, Sergey; Kalise, Dante; Kunisch, Karl K. Tensor decomposition methods for high-dimensional Hamilton-Jacobi-Bellman equations. (English) Zbl 1471.65184 SIAM J. Sci. Comput. 43, No. 3, A1625-A1650 (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65N22 65H10 65F10 15A23 15A69 49J20 93B52 90C39 35Q93 35Q84 PDFBibTeX XMLCite \textit{S. Dolgov} et al., SIAM J. Sci. Comput. 43, No. 3, A1625--A1650 (2021; Zbl 1471.65184) Full Text: DOI arXiv
Nakamura-Zimmerer, Tenavi; Gong, Qi; Kang, Wei Adaptive deep learning for high-dimensional Hamilton-Jacobi-Bellman equations. (English) Zbl 1467.49028 SIAM J. Sci. Comput. 43, No. 2, A1221-A1247 (2021). MSC: 49N35 49K15 49L20 68T05 90C30 93C15 93C20 PDFBibTeX XMLCite \textit{T. Nakamura-Zimmerer} et al., SIAM J. Sci. Comput. 43, No. 2, A1221--A1247 (2021; Zbl 1467.49028) Full Text: DOI arXiv
You, Huaiqian; Yu, Yue; Trask, Nathaniel; Gulian, Mamikon; D’Elia, Marta Data-driven learning of nonlocal physics from high-fidelity synthetic data. (English) Zbl 1506.74505 Comput. Methods Appl. Mech. Eng. 374, Article ID 113553, 22 p. (2021). MSC: 74S99 65N99 62G08 74Q10 90C25 90C90 PDFBibTeX XMLCite \textit{H. You} et al., Comput. Methods Appl. Mech. Eng. 374, Article ID 113553, 22 p. (2021; Zbl 1506.74505) Full Text: DOI arXiv
Garreis, Sebastian; Surowiec, Thomas M.; Ulbrich, Michael An interior-point approach for solving risk-averse PDE-constrained optimization problems with coherent risk measures. (English) Zbl 1456.49005 SIAM J. Optim. 31, No. 1, 1-29 (2021). MSC: 49J20 49J50 49J55 49K20 49K45 90C15 PDFBibTeX XMLCite \textit{S. Garreis} et al., SIAM J. Optim. 31, No. 1, 1--29 (2021; Zbl 1456.49005) Full Text: DOI
Palhares, Pedro Henrique da Silva; Brito, Leonardo da Cunha Stochastic optimization method for mechanical design of overhead distribution power lines. (English) Zbl 1523.90354 Eng. Optim. 52, No. 2, 235-251 (2020). MSC: 90C90 90C11 90C15 PDFBibTeX XMLCite \textit{P. H. da S. Palhares} and \textit{L. da C. Brito}, Eng. Optim. 52, No. 2, 235--251 (2020; Zbl 1523.90354) Full Text: DOI
Kusch, Jonas; Wolters, Jannick; Frank, Martin Intrusive acceleration strategies for uncertainty quantification for hyperbolic systems of conservation laws. (English) Zbl 07507250 J. Comput. Phys. 419, Article ID 109698, 23 p. (2020). MSC: 90-XX 65-XX PDFBibTeX XMLCite \textit{J. Kusch} et al., J. Comput. Phys. 419, Article ID 109698, 23 p. (2020; Zbl 07507250) Full Text: DOI arXiv
Cui, Chunfeng; Zhang, Kaiqi; Daulbaev, Talgat; Gusak, Julia; Oseledets, Ivan; Zhang, Zheng Active subspace of neural networks: structural analysis and universal attacks. (English) Zbl 1486.90152 SIAM J. Math. Data Sci. 2, No. 4, 1096-1122 (2020). MSC: 90C26 15A18 62G35 PDFBibTeX XMLCite \textit{C. Cui} et al., SIAM J. Math. Data Sci. 2, No. 4, 1096--1122 (2020; Zbl 1486.90152) Full Text: DOI arXiv
Schaeffer, Hayden; Tran, Giang; Ward, Rachel; Zhang, Linan Extracting structured dynamical systems using sparse optimization with very few samples. (English) Zbl 1528.65035 Multiscale Model. Simul. 18, No. 4, 1435-1461 (2020). MSC: 65K99 65K10 37E99 94A20 90C90 PDFBibTeX XMLCite \textit{H. Schaeffer} et al., Multiscale Model. Simul. 18, No. 4, 1435--1461 (2020; Zbl 1528.65035) Full Text: DOI arXiv
Geletu, Abebe; Hoffmann, Armin; Schmidt, Patrick; Li, Pu Chance constrained optimization of elliptic PDE systems with a smoothing convex approximation. (English) Zbl 1451.90105 ESAIM, Control Optim. Calc. Var. 26, Paper No. 70, 28 p. (2020). MSC: 90C15 90C25 90C30 35J47 PDFBibTeX XMLCite \textit{A. Geletu} et al., ESAIM, Control Optim. Calc. Var. 26, Paper No. 70, 28 p. (2020; Zbl 1451.90105) Full Text: DOI
Kouri, D. P.; Surowiec, T. M. Risk-averse optimal control of semilinear elliptic PDEs. (English) Zbl 1448.49006 ESAIM, Control Optim. Calc. Var. 26, Paper No. 53, 19 p. (2020). MSC: 49J20 49J55 49K20 49K45 90C15 35J61 PDFBibTeX XMLCite \textit{D. P. Kouri} and \textit{T. M. Surowiec}, ESAIM, Control Optim. Calc. Var. 26, Paper No. 53, 19 p. (2020; Zbl 1448.49006) Full Text: DOI Link
Tian, Kuo; Li, Zengcong; Huang, Lei; Du, Kaifan; Jiang, Liangliang; Wang, Bo Enhanced variable-fidelity surrogate-based optimization framework by Gaussian process regression and fuzzy clustering. (English) Zbl 1442.62141 Comput. Methods Appl. Mech. Eng. 366, Article ID 113045, 18 p. (2020). MSC: 62H30 62H86 74P10 90C90 PDFBibTeX XMLCite \textit{K. Tian} et al., Comput. Methods Appl. Mech. Eng. 366, Article ID 113045, 18 p. (2020; Zbl 1442.62141) Full Text: DOI
Bernal, Francisco; Gobet, Emmanuel; Printems, Jacques Volatility uncertainty quantification in a stochastic control problem applied to energy. (English) Zbl 1441.91074 Methodol. Comput. Appl. Probab. 22, No. 1, 135-159 (2020). MSC: 91G20 93E20 90C15 41A10 PDFBibTeX XMLCite \textit{F. Bernal} et al., Methodol. Comput. Appl. Probab. 22, No. 1, 135--159 (2020; Zbl 1441.91074) Full Text: DOI HAL
Wang, Yuepeng; Ren, Lanlan; Zhang, Zongyuan; Lin, Guang; Xu, Chao Sparsity-promoting elastic net method with rotations for high-dimensional nonlinear inverse problem. (English) Zbl 1440.65065 Comput. Methods Appl. Mech. Eng. 345, 263-282 (2019). MSC: 65K05 90C90 PDFBibTeX XMLCite \textit{Y. Wang} et al., Comput. Methods Appl. Mech. Eng. 345, 263--282 (2019; Zbl 1440.65065) Full Text: DOI
Buchheim, Christoph; De Santis, Marianna An active set algorithm for robust combinatorial optimization based on separation oracles. (English) Zbl 1432.90108 Adv. Comput. Math. 45, No. 5-6, 2647-2675 (2019). MSC: 90C25 90C27 90C57 PDFBibTeX XMLCite \textit{C. Buchheim} and \textit{M. De Santis}, Adv. Comput. Math. 45, No. 5--6, 2647--2675 (2019; Zbl 1432.90108) Full Text: DOI arXiv
Mishra, Siddhartha A machine learning framework for data driven acceleration of computations of differential equations. (English) Zbl 1435.68279 Math. Eng. (Springfield) 1, No. 1, 118-146 (2019). MSC: 68T05 65L05 65M06 65M08 65M60 68T07 90C26 PDFBibTeX XMLCite \textit{S. Mishra}, Math. Eng. (Springfield) 1, No. 1, 118--146 (2019; Zbl 1435.68279) Full Text: DOI arXiv
Liu, Yong; Chen, Tianheng; Chen, Yanlai; Shu, Chi-Wang Certified offline-free reduced basis (COFRB) methods for stochastic differential equations driven by arbitrary types of noise. (English) Zbl 1440.65250 J. Sci. Comput. 81, No. 3, 1210-1239 (2019). MSC: 65N35 65M06 65L60 90C59 35R60 PDFBibTeX XMLCite \textit{Y. Liu} et al., J. Sci. Comput. 81, No. 3, 1210--1239 (2019; Zbl 1440.65250) Full Text: DOI
Kouri, D. P. Higher-moment buffered probability. (English) Zbl 1429.90047 Optim. Lett. 13, No. 6, 1223-1237 (2019); correction ibid. 13, No. 6, 1711 (2019). MSC: 90C15 PDFBibTeX XMLCite \textit{D. P. Kouri}, Optim. Lett. 13, No. 6, 1223--1237 (2019; Zbl 1429.90047) Full Text: DOI Link
Zhang, Linan; Schaeffer, Hayden On the convergence of the SINDy algorithm. (English) Zbl 1437.37108 Multiscale Model. Simul. 17, No. 3, 948-972 (2019). MSC: 37M10 65F10 68W40 90C26 PDFBibTeX XMLCite \textit{L. Zhang} and \textit{H. Schaeffer}, Multiscale Model. Simul. 17, No. 3, 948--972 (2019; Zbl 1437.37108) Full Text: DOI arXiv
Peitz, Sebastian; Ober-Blöbaum, Sina; Dellnitz, Michael Multiobjective optimal control methods for the Navier-Stokes equations using reduced order modeling. (English) Zbl 1415.76221 Acta Appl. Math. 161, 171-199 (2019). MSC: 76D55 35Q30 49K20 49M05 90C29 93C20 PDFBibTeX XMLCite \textit{S. Peitz} et al., Acta Appl. Math. 161, 171--199 (2019; Zbl 1415.76221) Full Text: DOI arXiv
Salehi, Saeed; Raisee, Mehrdad; Cervantes, Michel J.; Nourbakhsh, Ahmad An efficient multifidelity \(\ell_1\)-minimization method for sparse polynomial chaos. (English) Zbl 1440.94017 Comput. Methods Appl. Mech. Eng. 334, 183-207 (2018). MSC: 94A12 74P99 90C90 PDFBibTeX XMLCite \textit{S. Salehi} et al., Comput. Methods Appl. Mech. Eng. 334, 183--207 (2018; Zbl 1440.94017) Full Text: DOI
Wang, Lei; Xiong, Chuang; Wang, Xiaojun; Xu, Menghui; Li, Yunlong A dimension-wise method and its improvement for multidisciplinary interval uncertainty analysis. (English) Zbl 1480.62250 Appl. Math. Modelling 59, 680-695 (2018). MSC: 62P30 62M99 90B25 PDFBibTeX XMLCite \textit{L. Wang} et al., Appl. Math. Modelling 59, 680--695 (2018; Zbl 1480.62250) Full Text: DOI
Paulson, Joel A.; Harinath, Eranda; Foguth, Lucas C.; Braatz, Richard D. Control and systems theory for advanced manufacturing. (English) Zbl 1407.93234 Tempo, Roberto (ed.) et al., Emerging applications of control and systems theory. A festschrift in honor of Mathukumalli Vidyasagar. Based on invited lectures given at the workshop, EACST’17, University of Texas, Dallas, TX, USA, September 2017. Cham: Springer. Lect. Notes Control Inf. Sci. – Proc., 63-79 (2018). MSC: 93C83 93E03 93C10 90B30 93C55 93B52 PDFBibTeX XMLCite \textit{J. A. Paulson} et al., in: Emerging applications of control and systems theory. A festschrift in honor of Mathukumalli Vidyasagar. Based on invited lectures given at the workshop, EACST'17, University of Texas, Dallas, TX, USA, September 2017. Cham: Springer. 63--79 (2018; Zbl 1407.93234) Full Text: DOI
Herty, Michael; Tosin, Andrea; Visconti, Giuseppe; Zanella, Mattia Hybrid stochastic kinetic description of two-dimensional traffic dynamics. (English) Zbl 1403.35196 SIAM J. Appl. Math. 78, No. 5, 2737-2762 (2018). Reviewer: Rodica Luca (Iaşi) MSC: 35Q20 35Q70 35Q84 90B20 82C31 65C05 PDFBibTeX XMLCite \textit{M. Herty} et al., SIAM J. Appl. Math. 78, No. 5, 2737--2762 (2018; Zbl 1403.35196) Full Text: DOI arXiv
Li, Jingshi; Wang, Xiaoshen; Zhang, Kai An efficient alternating direction method of multipliers for optimal control problems constrained by random Helmholtz equations. (English) Zbl 1388.93110 Numer. Algorithms 78, No. 1, 161-191 (2018). MSC: 93E25 90C15 35J05 65K10 65C05 65N30 PDFBibTeX XMLCite \textit{J. Li} et al., Numer. Algorithms 78, No. 1, 161--191 (2018; Zbl 1388.93110) Full Text: DOI
Fu, Hongfei; Wang, Hong; Wang, Zhu POD/DEIM reduced-order modeling of time-fractional partial differential equations with applications in parameter identification. (English) Zbl 1404.65140 J. Sci. Comput. 74, No. 1, 220-243 (2018). MSC: 65M32 35R11 65M06 65M22 65K05 90C30 PDFBibTeX XMLCite \textit{H. Fu} et al., J. Sci. Comput. 74, No. 1, 220--243 (2018; Zbl 1404.65140) Full Text: DOI arXiv
Behboodi-Kahoo, Malihe; Ketabchi, Saeed Parallel implementation of augmented Lagrangian method within L-shaped method for stochastic linear programs. (English) Zbl 1488.90118 Filomat 31, No. 3, 799-808 (2017). MSC: 90C05 90C15 90C20 90C06 PDFBibTeX XMLCite \textit{M. Behboodi-Kahoo} and \textit{S. Ketabchi}, Filomat 31, No. 3, 799--808 (2017; Zbl 1488.90118) Full Text: DOI
Mohammadi, Bijan Controlling first four moments for robust optimization. (English) Zbl 1390.90531 Optim. Eng. 18, No. 3, 561-585 (2017). MSC: 90C31 90C15 PDFBibTeX XMLCite \textit{B. Mohammadi}, Optim. Eng. 18, No. 3, 561--585 (2017; Zbl 1390.90531) Full Text: DOI HAL
Pender, Jamol; Massey, William A. Approximating and stabilizing dynamic rate Jackson networks with abandonment. (English) Zbl 1370.60178 Probab. Eng. Inf. Sci. 31, No. 1, 1-42 (2017). MSC: 60K25 60K20 90B22 90B25 PDFBibTeX XMLCite \textit{J. Pender} and \textit{W. A. Massey}, Probab. Eng. Inf. Sci. 31, No. 1, 1--42 (2017; Zbl 1370.60178) Full Text: DOI
Barth, Andrea; Fuchs, Franz G. Uncertainty quantification for linear hyperbolic equations with stochastic process or random field coefficients. (English) Zbl 1372.65013 Appl. Numer. Math. 121, 38-51 (2017). MSC: 65C30 65C05 35R60 60H15 60H35 90B20 65M06 65M08 PDFBibTeX XMLCite \textit{A. Barth} and \textit{F. G. Fuchs}, Appl. Numer. Math. 121, 38--51 (2017; Zbl 1372.65013) Full Text: DOI arXiv
Hu, Jun; Zhang, Shudao Global sensitivity analysis based on high-dimensional sparse surrogate construction. (English) Zbl 1367.90104 AMM, Appl. Math. Mech., Engl. Ed. 38, No. 6, 797-814 (2017). MSC: 90C31 62J12 PDFBibTeX XMLCite \textit{J. Hu} and \textit{S. Zhang}, AMM, Appl. Math. Mech., Engl. Ed. 38, No. 6, 797--814 (2017; Zbl 1367.90104) Full Text: DOI
Wang, Mengyu; Brigham, John C. A generalized computationally efficient inverse characterization approach combining direct inversion solution initialization with gradient-based optimization. (English) Zbl 1398.35297 Comput. Mech. 59, No. 3, 507-521 (2017). MSC: 35R30 76M25 90C51 74G75 90C06 PDFBibTeX XMLCite \textit{M. Wang} and \textit{J. C. Brigham}, Comput. Mech. 59, No. 3, 507--521 (2017; Zbl 1398.35297) Full Text: DOI Link
Fenzi, Luca; Michiels, Wim Robust stability optimization for linear delay systems in a probabilistic framework. (English) Zbl 1362.65043 Linear Algebra Appl. 526, 1-26 (2017). MSC: 65F15 90C31 60H35 PDFBibTeX XMLCite \textit{L. Fenzi} and \textit{W. Michiels}, Linear Algebra Appl. 526, 1--26 (2017; Zbl 1362.65043) Full Text: DOI
Yan, Liang; Shin, Yeonjong; Xiu, Dongbin Sparse approximation using \(\ell_1-\ell_2\) minimization and its application to stochastic collocation. (English) Zbl 1381.94029 SIAM J. Sci. Comput. 39, No. 1, A229-A254 (2017). MSC: 94A08 65D05 65D15 42C05 90C90 PDFBibTeX XMLCite \textit{L. Yan} et al., SIAM J. Sci. Comput. 39, No. 1, A229--A254 (2017; Zbl 1381.94029) Full Text: DOI
Keshavarzzadeh, Vahid; Meidani, Hadi; Tortorelli, Daniel A. Gradient based design optimization under uncertainty via stochastic expansion methods. (English) Zbl 1436.74052 Comput. Methods Appl. Mech. Eng. 306, 47-76 (2016). MSC: 74P05 65N75 90C15 PDFBibTeX XMLCite \textit{V. Keshavarzzadeh} et al., Comput. Methods Appl. Mech. Eng. 306, 47--76 (2016; Zbl 1436.74052) Full Text: DOI
Fusi, F.; Congedo, P. M. An adaptive strategy on the error of the objective functions for uncertainty-based derivative-free optimization. (English) Zbl 1351.90166 J. Comput. Phys. 309, 241-266 (2016). MSC: 90C56 65K10 90C15 PDFBibTeX XMLCite \textit{F. Fusi} and \textit{P. M. Congedo}, J. Comput. Phys. 309, 241--266 (2016; Zbl 1351.90166) Full Text: DOI HAL
Kouri, D. P.; Surowiec, T. M. Risk-averse PDE-constrained optimization using the conditional value-at-risk. (English) Zbl 1337.49049 SIAM J. Optim. 26, No. 1, 365-396 (2016). Reviewer: Igor Bock (Bratislava) MSC: 49M15 49M25 49M29 49J20 49K20 49J55 49K45 65K05 90C15 93E20 PDFBibTeX XMLCite \textit{D. P. Kouri} and \textit{T. M. Surowiec}, SIAM J. Optim. 26, No. 1, 365--396 (2016; Zbl 1337.49049) Full Text: DOI Link
Mohammadi, Bijan Ensemble Kalman filters and geometric characterization of sensitivity spaces for uncertainty quantification in optimization. (English) Zbl 1423.90163 Comput. Methods Appl. Mech. Eng. 290, 228-249 (2015). MSC: 90C15 74P10 90C31 PDFBibTeX XMLCite \textit{B. Mohammadi}, Comput. Methods Appl. Mech. Eng. 290, 228--249 (2015; Zbl 1423.90163) Full Text: DOI HAL
Schillings, C.; Schulz, V. On the influence of robustness measures on shape optimization with stochastic uncertainties. (English) Zbl 1364.74084 Optim. Eng. 16, No. 2, 347-386 (2015). MSC: 74P15 90C90 PDFBibTeX XMLCite \textit{C. Schillings} and \textit{V. Schulz}, Optim. Eng. 16, No. 2, 347--386 (2015; Zbl 1364.74084) Full Text: DOI
Canic, Suncica; Piccoli, Benedetto; Qiu, Jing-Mei; Ren, Tan Runge-Kutta discontinuous Galerkin method for traffic flow model on networks. (English) Zbl 1321.90034 J. Sci. Comput. 63, No. 1, 233-255 (2015). MSC: 90B20 90B06 90B15 68U20 PDFBibTeX XMLCite \textit{S. Canic} et al., J. Sci. Comput. 63, No. 1, 233--255 (2015; Zbl 1321.90034) Full Text: DOI arXiv
Alkhatib, Ali; King, Peter An approximate dynamic programming approach to decision making in the presence of uncertainty for surfactant-polymer flooding. (English) Zbl 1393.76113 Comput. Geosci. 18, No. 2, 243-263 (2014). MSC: 76S05 90C39 90C90 65K05 49N90 PDFBibTeX XMLCite \textit{A. Alkhatib} and \textit{P. King}, Comput. Geosci. 18, No. 2, 243--263 (2014; Zbl 1393.76113) Full Text: DOI
Peng, Ji; Hampton, Jerrad; Doostan, Alireza A weighted \(\ell_1\)-minimization approach for sparse polynomial chaos expansions. (English) Zbl 1349.65198 J. Comput. Phys. 267, 92-111 (2014). MSC: 65K10 65C20 90C25 94A12 94A20 PDFBibTeX XMLCite \textit{J. Peng} et al., J. Comput. Phys. 267, 92--111 (2014; Zbl 1349.65198) Full Text: DOI arXiv
Kalashnikova, Irina; van Bloemen Waanders, Bart; Arunajatesan, Srinivasan; Barone, Matthew Stabilization of projection-based reduced order models for linear time-invariant systems via optimization-based eigenvalue reassignment. (English) Zbl 1296.93165 Comput. Methods Appl. Mech. Eng. 272, 251-270 (2014). MSC: 93D15 93B55 76M25 90C90 PDFBibTeX XMLCite \textit{I. Kalashnikova} et al., Comput. Methods Appl. Mech. Eng. 272, 251--270 (2014; Zbl 1296.93165) Full Text: DOI
Wang, Yao; Zeng, Shengkui; Guo, Jianbin Time-dependent reliability-based design optimization utilizing nonintrusive polynomial chaos. (English) Zbl 1273.90069 J. Appl. Math. 2013, Article ID 513261, 16 p. (2013). MSC: 90B25 PDFBibTeX XMLCite \textit{Y. Wang} et al., J. Appl. Math. 2013, Article ID 513261, 16 p. (2013; Zbl 1273.90069) Full Text: DOI
Congedo, Pietro Marco; Witteveen, Jeroen; Iaccarino, Gianluca A simplex-based numerical framework for simple and efficient robust design optimization. (English) Zbl 1276.90042 Comput. Optim. Appl. 56, No. 1, 231-251 (2013). MSC: 90C15 PDFBibTeX XMLCite \textit{P. M. Congedo} et al., Comput. Optim. Appl. 56, No. 1, 231--251 (2013; Zbl 1276.90042) Full Text: DOI
Stanford, Bret; Beran, Philip Computational strategies for reliability-based structural optimization of aeroelastic limit cycle oscillations. (English) Zbl 1274.74248 Struct. Multidiscip. Optim. 45, No. 1, 83-99 (2012). MSC: 74P05 90B25 34C05 PDFBibTeX XMLCite \textit{B. Stanford} and \textit{P. Beran}, Struct. Multidiscip. Optim. 45, No. 1, 83--99 (2012; Zbl 1274.74248) Full Text: DOI
Xi, Zhimin; Hu, Chao; Youn, Byeng D. A comparative study of probability estimation methods for reliability analysis. (English) Zbl 1274.90126 Struct. Multidiscip. Optim. 45, No. 1, 33-52 (2012). MSC: 90B25 62N05 PDFBibTeX XMLCite \textit{Z. Xi} et al., Struct. Multidiscip. Optim. 45, No. 1, 33--52 (2012; Zbl 1274.90126) Full Text: DOI