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Stahl, Spencer L.; Prasad, Chitrarth; Goparaju, Hemanth; Gaitonde, Datta Conditional space-time POD extensions for stability and prediction analysis. (English) Zbl 07742913 J. Comput. Phys. 492, Article ID 112433, 25 p. (2023). MSC: 76Fxx 76-XX 76Mxx PDFBibTeX XMLCite \textit{S. L. Stahl} et al., J. Comput. Phys. 492, Article ID 112433, 25 p. (2023; Zbl 07742913) Full Text: DOI arXiv
Chung, K.; Fei, F.; Gorji, M. H.; Jenny, P. Data-driven stochastic particle scheme for collisional plasma simulations. (English) Zbl 07742891 J. Comput. Phys. 492, Article ID 112400, 15 p. (2023). MSC: 76Mxx 82Cxx 76Xxx PDFBibTeX XMLCite \textit{K. Chung} et al., J. Comput. Phys. 492, Article ID 112400, 15 p. (2023; Zbl 07742891) Full Text: DOI
Chow, Yat Tin; Leung, Wing Tat; Pakzad, Ali Continuous data assimilation for two-phase flow: analysis and simulations. (English) Zbl 07561072 J. Comput. Phys. 466, Article ID 111395, 25 p. (2022). MSC: 35Qxx 65Mxx 35Bxx PDFBibTeX XMLCite \textit{Y. T. Chow} et al., J. Comput. Phys. 466, Article ID 111395, 25 p. (2022; Zbl 07561072) Full Text: DOI arXiv
Raynaud, Gaétan; Houde, Sébastien; Gosselin, Frédérick P. ModalPINN: an extension of physics-informed neural networks with enforced truncated Fourier decomposition for periodic flow reconstruction using a limited number of imperfect sensors. (English) Zbl 07540350 J. Comput. Phys. 464, Article ID 111271, 18 p. (2022). MSC: 68Txx 76Mxx 76Dxx PDFBibTeX XMLCite \textit{G. Raynaud} et al., J. Comput. Phys. 464, Article ID 111271, 18 p. (2022; Zbl 07540350) Full Text: DOI arXiv
Guan, Yifei; Chattopadhyay, Ashesh; Subel, Adam; Hassanzadeh, Pedram Stable a posteriori LES of 2D turbulence using convolutional neural networks: backscattering analysis and generalization to higher \(Re\) via transfer learning. (English) Zbl 07527717 J. Comput. Phys. 458, Article ID 111090, 22 p. (2022). MSC: 76Fxx 76-XX 76Mxx PDFBibTeX XMLCite \textit{Y. Guan} et al., J. Comput. Phys. 458, Article ID 111090, 22 p. (2022; Zbl 07527717) Full Text: DOI arXiv
Guo, Ling; Wu, Hao; Zhou, Tao Normalizing field flows: solving forward and inverse stochastic differential equations using physics-informed flow models. (English) Zbl 07525177 J. Comput. Phys. 461, Article ID 111202, 18 p. (2022). MSC: 65Cxx 60Hxx 68Txx PDFBibTeX XMLCite \textit{L. Guo} et al., J. Comput. Phys. 461, Article ID 111202, 18 p. (2022; Zbl 07525177) Full Text: DOI arXiv
Peters, Eric L.; Balin, Riccardo; Jansen, Kenneth E.; Doostan, Alireza; Evans, John A. \(S\)-frame discrepancy correction models for data-informed Reynolds stress closure. (English) Zbl 07516801 J. Comput. Phys. 448, Article ID 110717, 27 p. (2022). MSC: 76Fxx 90Cxx 76Mxx PDFBibTeX XMLCite \textit{E. L. Peters} et al., J. Comput. Phys. 448, Article ID 110717, 27 p. (2022; Zbl 07516801) Full Text: DOI arXiv
Mao, Zhiping; Lu, Lu; Marxen, Olaf; Zaki, Tamer A.; Karniadakis, George Em DeepM&Mnet for hypersonics: predicting the coupled flow and finite-rate chemistry behind a normal shock using neural-network approximation of operators. (English) Zbl 07516442 J. Comput. Phys. 447, Article ID 110698, 24 p. (2021). MSC: 76Mxx 76Fxx 65Mxx PDFBibTeX XMLCite \textit{Z. Mao} et al., J. Comput. Phys. 447, Article ID 110698, 24 p. (2021; Zbl 07516442) Full Text: DOI arXiv
Yu, Jian; Yan, Chao; Jiang, Zhenhua; Yuan, Wu; Chen, Shusheng Adaptive non-intrusive reduced order modeling for compressible flows. (English) Zbl 1453.76118 J. Comput. Phys. 397, Article ID 108855, 27 p. (2019). MSC: 76M12 65M08 68T05 35B30 76N15 PDFBibTeX XMLCite \textit{J. Yu} et al., J. Comput. Phys. 397, Article ID 108855, 27 p. (2019; Zbl 1453.76118) Full Text: DOI
Wang, Mengze; Wang, Qi; Zaki, Tamer A. Discrete adjoint of fractional-step incompressible Navier-Stokes solver in curvilinear coordinates and application to data assimilation. (English) Zbl 1452.76192 J. Comput. Phys. 396, 427-450 (2019). MSC: 76M30 76D05 76D07 65M22 65K10 PDFBibTeX XMLCite \textit{M. Wang} et al., J. Comput. Phys. 396, 427--450 (2019; Zbl 1452.76192) Full Text: DOI
Zhu, Yinhao; Zabaras, Nicholas; Koutsourelakis, Phaedon-Stelios; Perdikaris, Paris Physics-constrained deep learning for high-dimensional surrogate modeling and uncertainty quantification without labeled data. (English) Zbl 1452.68172 J. Comput. Phys. 394, 56-81 (2019). MSC: 68T07 35B30 65N75 76S05 PDFBibTeX XMLCite \textit{Y. Zhu} et al., J. Comput. Phys. 394, 56--81 (2019; Zbl 1452.68172) Full Text: DOI arXiv
Hesthaven, J. S.; Ubbiali, S. Non-intrusive reduced order modeling of nonlinear problems using neural networks. (English) Zbl 1398.65330 J. Comput. Phys. 363, 55-78 (2018). MSC: 65N99 68T05 68W27 35B30 76D05 PDFBibTeX XMLCite \textit{J. S. Hesthaven} and \textit{S. Ubbiali}, J. Comput. Phys. 363, 55--78 (2018; Zbl 1398.65330) Full Text: DOI Link
Schlanderer, Stefan C.; Weymouth, Gabriel D.; Sandberg, Richard D. The boundary data immersion method for compressible flows with application to aeroacoustics. (English) Zbl 1375.76171 J. Comput. Phys. 333, 440-461 (2017). MSC: 76Q05 76N99 PDFBibTeX XMLCite \textit{S. C. Schlanderer} et al., J. Comput. Phys. 333, 440--461 (2017; Zbl 1375.76171) Full Text: DOI Link
Isaac, Tobin; Petra, Noemi; Stadler, Georg; Ghattas, Omar Scalable and efficient algorithms for the propagation of uncertainty from data through inference to prediction for large-scale problems, with application to flow of the antarctic ice sheet. (English) Zbl 1352.86017 J. Comput. Phys. 296, 348-368 (2015). MSC: 86A22 65N21 86-08 86A40 76T99 86A32 PDFBibTeX XMLCite \textit{T. Isaac} et al., J. Comput. Phys. 296, 348--368 (2015; Zbl 1352.86017) Full Text: DOI arXiv
Gejadze, I. Yu.; Shutyaev, V. On Gauss-verifiability of optimal solutions in variational data assimilation problems with nonlinear dynamics. (English) Zbl 1349.49037 J. Comput. Phys. 280, 439-456 (2015). MSC: 49M27 49N90 PDFBibTeX XMLCite \textit{I. Yu. Gejadze} and \textit{V. Shutyaev}, J. Comput. Phys. 280, 439--456 (2015; Zbl 1349.49037) Full Text: DOI HAL
Blanco, Pablo J.; Deparis, Simone; Malossi, A. Cristiano I. On the continuity of mean total normal stress in geometrical multiscale cardiovascular problems. (English) Zbl 1349.92046 J. Comput. Phys. 251, 136-155 (2013). MSC: 92C35 76Z05 PDFBibTeX XMLCite \textit{P. J. Blanco} et al., J. Comput. Phys. 251, 136--155 (2013; Zbl 1349.92046) Full Text: DOI Link
Gronskis, A.; Heitz, D.; Mémin, E. Inflow and initial conditions for direct numerical simulation based on adjoint data assimilation. (English) Zbl 1299.76099 J. Comput. Phys. 242, 480-497 (2013). MSC: 76F65 37N10 PDFBibTeX XMLCite \textit{A. Gronskis} et al., J. Comput. Phys. 242, 480--497 (2013; Zbl 1299.76099) Full Text: DOI HAL
Hatch, D. R.; del-Castillo-Negrete, D.; Terry, P. W. Analysis and compression of six-dimensional gyrokinetic datasets using higher order singular value decomposition. (English) Zbl 1426.76647 J. Comput. Phys. 231, No. 11, 4234-4256 (2012). MSC: 76M99 76X05 76F99 PDFBibTeX XMLCite \textit{D. R. Hatch} et al., J. Comput. Phys. 231, No. 11, 4234--4256 (2012; Zbl 1426.76647) Full Text: DOI Link
Gejadze, I. Yu.; Copeland, G. J. M.; Le Dimet, F.-X.; Shutyaev, V. Computation of the analysis error covariance in variational data assimilation problems with nonlinear dynamics. (English) Zbl 1408.65035 J. Comput. Phys. 230, No. 22, 7923-7943 (2011). MSC: 65J22 65M32 35Q53 PDFBibTeX XMLCite \textit{I. Yu. Gejadze} et al., J. Comput. Phys. 230, No. 22, 7923--7943 (2011; Zbl 1408.65035) Full Text: DOI
Ma, Xiang; Zabaras, Nicholas Kernel principal component analysis for stochastic input model generation. (English) Zbl 1252.65014 J. Comput. Phys. 230, No. 19, 7311-7331 (2011). MSC: 65C30 60H15 60H35 35R60 60G60 62H25 76S05 76M35 PDFBibTeX XMLCite \textit{X. Ma} and \textit{N. Zabaras}, J. Comput. Phys. 230, No. 19, 7311--7331 (2011; Zbl 1252.65014) Full Text: DOI
Ji, Hua; Lien, Fue-Sang; Yee, Eugene A new adaptive mesh refinement data structure with an application to detonation. (English) Zbl 1207.80023 J. Comput. Phys. 229, No. 23, 8981-8993 (2010). Reviewer: Nina Shokina (Freiburg) MSC: 80A25 65M50 80A32 76M12 65L06 76V05 PDFBibTeX XMLCite \textit{H. Ji} et al., J. Comput. Phys. 229, No. 23, 8981--8993 (2010; Zbl 1207.80023) Full Text: DOI
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