D’Amore, Luisa; Cacciapuoti, R. Model reduction in space and time for ab initio decomposition of 4D variational data assimilation problems. (English) Zbl 07310773 Appl. Numer. Math. 160, 242-264 (2021). MSC: 65M55 65C 93A PDF BibTeX XML Cite \textit{L. D'Amore} and \textit{R. Cacciapuoti}, Appl. Numer. Math. 160, 242--264 (2021; Zbl 07310773) Full Text: DOI
Engbert, Ralf; Rabe, Maximilian M.; Kliegl, Reinhold; Reich, Sebastian Sequential data assimilation of the stochastic SEIR epidemic model for regional COVID-19 dynamics. (English) Zbl 07308616 Bull. Math. Biol. 83, No. 1, Paper No. 1, 16 p. (2021). MSC: 92D30 PDF BibTeX XML Cite \textit{R. Engbert} et al., Bull. Math. Biol. 83, No. 1, Paper No. 1, 16 p. (2021; Zbl 07308616) Full Text: DOI
Lu, Shuai; Niu, Pingping; Werner, Frank On the asymptotical regularization for linear inverse problems in presence of white noise. (English) Zbl 07307676 SIAM/ASA J. Uncertain. Quantif. 9, 1-28 (2021). MSC: 65J20 47A52 62M20 PDF BibTeX XML Cite \textit{S. Lu} et al., SIAM/ASA J. Uncertain. Quantif. 9, 1--28 (2021; Zbl 07307676) Full Text: DOI
Canchumuni, Smith W. A.; Castro, Jose D. B.; Potratz, Júlia; Emerick, Alexandre A.; Pacheco, Marco Aurélio C. Recent developments combining ensemble smoother and deep generative networks for facies history matching. (English) Zbl 07307219 Comput. Geosci. 25, No. 1, 433-466 (2021). MSC: 86A32 86A22 PDF BibTeX XML Cite \textit{S. W. A. Canchumuni} et al., Comput. Geosci. 25, No. 1, 433--466 (2021; Zbl 07307219) Full Text: DOI
Jiang, Su; Durlofsky, Louis J. Data-space inversion using a recurrent autoencoder for time-series parameterization. (English) Zbl 07307218 Comput. Geosci. 25, No. 1, 411-432 (2021). MSC: 86A32 86A22 PDF BibTeX XML Cite \textit{S. Jiang} and \textit{L. J. Durlofsky}, Comput. Geosci. 25, No. 1, 411--432 (2021; Zbl 07307218) Full Text: DOI
Panda, Nishant; Fernández-Godino, M. Giselle; Godinez, Humberto C.; Dawson, Clint A data-driven non-linear assimilation framework with neural networks. (English) Zbl 07307208 Comput. Geosci. 25, No. 1, 233-242 (2021). MSC: 86A32 86A22 PDF BibTeX XML Cite \textit{N. Panda} et al., Comput. Geosci. 25, No. 1, 233--242 (2021; Zbl 07307208) Full Text: DOI
Du, Yi Juan; Shiue, Ming-Cheng Analysis and computation of continuous data assimilation algorithms for Lorenz 63 system based on nonlinear nudging techniques. (English) Zbl 07305157 J. Comput. Appl. Math. 386, Article ID 113246, 18 p. (2021). MSC: 65 86 PDF BibTeX XML Cite \textit{Y. J. Du} and \textit{M.-C. Shiue}, J. Comput. Appl. Math. 386, Article ID 113246, 18 p. (2021; Zbl 07305157) Full Text: DOI
Nadler, Philip; Arcucci, Rossella; Guo, Yike An econophysical analysis of the blockchain ecosystem. (English) Zbl 07304451 Pardalos, Panos (ed.) et al., Mathematical research for blockchain economy. Proceedings of the 2nd international conference on mathematical research for blockchain economy, MARBLE 2020, Vilamoura, Portugal, June 8–10, 2020. Cham: Springer (ISBN 978-3-030-53355-7/hbk; 978-3-030-53356-4/ebook). Springer Proceedings in Business and Economics, 27-42 (2020). MSC: 91B80 91G99 PDF BibTeX XML Cite \textit{P. Nadler} et al., in: Mathematical research for blockchain economy. Proceedings of the 2nd international conference on mathematical research for blockchain economy, MARBLE 2020, Vilamoura, Portugal, June 8--10, 2020. Cham: Springer. 27--42 (2020; Zbl 07304451) Full Text: DOI
Ferreiro-Ferreiro, A. M.; García-Rodríguez, J. A.; López-Salas, J. G.; Escalante, C.; Castro, M. J. Global optimization for data assimilation in landslide tsunami models. (English) Zbl 07302766 J. Comput. Phys. 403, Article ID 109069, 22 p. (2020). MSC: 86A15 65K10 86A05 86-08 65M08 65Y05 65Z05 PDF BibTeX XML Cite \textit{A. M. Ferreiro-Ferreiro} et al., J. Comput. Phys. 403, Article ID 109069, 22 p. (2020; Zbl 07302766) Full Text: DOI
Yang, Xiaomei; Deng, Zhiliang; Wang, Juanfang An ensemble Kalman filter approach based on level set parametrization for acoustic source identification using multiple frequency information. (English) Zbl 07295062 Commun. Math. Res. 36, No. 2, 211-228 (2020). MSC: 60G35 94A12 PDF BibTeX XML Cite \textit{X. Yang} et al., Commun. Math. Res. 36, No. 2, 211--228 (2020; Zbl 07295062) Full Text: DOI
Larios, Adam; Pei, Yuan Approximate continuous data assimilation of the 2D Navier-Stokes equations via the Voigt-regularization with observable data. (English) Zbl 1452.35133 Evol. Equ. Control Theory 9, No. 3, 733-751 (2020). MSC: 35Q30 37C50 93C20 76B75 34D06 PDF BibTeX XML Cite \textit{A. Larios} and \textit{Y. Pei}, Evol. Equ. Control Theory 9, No. 3, 733--751 (2020; Zbl 1452.35133) Full Text: DOI
Vasa, Ádám; Owino, Oluoch Josphat; Tóth, László Improving the simultaneous application of the DSN-PC and NOAA GFS datasets. (English) Zbl 07287436 Ann. Math. Inform. 51, 77-87 (2020). MSC: 86A10 68M14 PDF BibTeX XML Cite \textit{Á. Vasa} et al., Ann. Math. Inform. 51, 77--87 (2020; Zbl 07287436) Full Text: DOI
García-Archilla, Bosco; Novo, Julia Error analysis of fully discrete mixed finite element data assimilation schemes for the Navier-Stokes equations. (English) Zbl 07286539 Adv. Comput. Math. 46, No. 4, Paper No. 61, 33 p. (2020). MSC: 65M60 65M06 65N30 65M70 65M20 65L06 65M12 65M15 76D05 35Q30 PDF BibTeX XML Cite \textit{B. García-Archilla} and \textit{J. Novo}, Adv. Comput. Math. 46, No. 4, Paper No. 61, 33 p. (2020; Zbl 07286539) Full Text: DOI
Balasuriya, Sanjeeva Stochastic sensitivity: a computable Lagrangian uncertainty measure for unsteady flows. (English) Zbl 07286346 SIAM Rev. 62, No. 4, 781-816 (2020). MSC: 60H10 76R50 60H30 60H40 76F99 PDF BibTeX XML Cite \textit{S. Balasuriya}, SIAM Rev. 62, No. 4, 781--816 (2020; Zbl 07286346) Full Text: DOI
Daužickaitė, Ieva; Lawless, Amos S.; Scott, Jennifer A.; van Leeuwen, Peter Jan Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation. (English) Zbl 07286024 Numer. Linear Algebra Appl. 27, No. 5, e2313, 24 p. (2020). MSC: 65F10 PDF BibTeX XML Cite \textit{I. Daužickaitė} et al., Numer. Linear Algebra Appl. 27, No. 5, e2313, 24 p. (2020; Zbl 07286024) Full Text: DOI
Gubarev, V. F. Problem of mathematical data interpretation. II: Distributed-parameter systems. (English. Russian original) Zbl 07285092 Cybern. Syst. Anal. 56, No. 3, 356-365 (2020); translation from Kibern. Sist. Anal. 2020, No. 3, 17-29 (2020). MSC: 93B28 93C10 PDF BibTeX XML Cite \textit{V. F. Gubarev}, Cybern. Syst. Anal. 56, No. 3, 356--365 (2020; Zbl 07285092); translation from Kibern. Sist. Anal. 2020, No. 3, 17--29 (2020) Full Text: DOI
Agoshkov, V. I.; Lezina, N. R.; Sheloput, T. O. Recovery of boundary functions on external and internal open boundaries in an open sea hydrodynamic problem. (English. Russian original) Zbl 1451.86002 Comput. Math. Math. Phys. 60, No. 11, 1855-1871 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 11, 1915-1932 (2020). MSC: 86A05 86-10 76B15 35R30 35Q35 PDF BibTeX XML Cite \textit{V. I. Agoshkov} et al., Comput. Math. Math. Phys. 60, No. 11, 1855--1871 (2020; Zbl 1451.86002); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 11, 1915--1932 (2020) Full Text: DOI
Cotter, Colin; Crisan, Dan; Holm, Darryl D.; Pan, Wei; Shevchenko, Igor A particle filter for stochastic advection by Lie transport: a case study for the damped and forced incompressible two-dimensional Euler equation. (English) Zbl 07283166 SIAM/ASA J. Uncertain. Quantif. 8, 1446-1492 (2020). MSC: 62P35 60H15 76D05 35Q31 35Q35 65C35 65C40 PDF BibTeX XML Cite \textit{C. Cotter} et al., SIAM/ASA J. Uncertain. Quantif. 8, 1446--1492 (2020; Zbl 07283166) Full Text: DOI
Belyaev, K. P.; Kuleshov, A. A.; Tuchkova, N. P. Correction of systematic error and estimation of confidence limits for one data assimilation method. (English) Zbl 07282964 Lobachevskii J. Math. 41, No. 10, 1964-1970 (2020). MSC: 86 65 PDF BibTeX XML Cite \textit{K. P. Belyaev} et al., Lobachevskii J. Math. 41, No. 10, 1964--1970 (2020; Zbl 07282964) Full Text: DOI
Robinson, Gregor; Grooms, Ian A fast tunable blurring algorithm for scattered data. (English) Zbl 1452.65036 SIAM J. Sci. Comput. 42, No. 4, A2281-A2299 (2020). MSC: 65D15 68U10 65D10 62M20 93E11 60G35 94A12 PDF BibTeX XML Cite \textit{G. Robinson} and \textit{I. Grooms}, SIAM J. Sci. Comput. 42, No. 4, A2281--A2299 (2020; Zbl 1452.65036) Full Text: DOI
de Wiljes, Jana; Tong, Xin T. Analysis of a localised nonlinear ensemble Kalman Bucy filter with complete and accurate observations. (English) Zbl 07268432 Nonlinearity 33, No. 9, 4752-4782 (2020). MSC: 62M20 62F15 62L10 62R07 PDF BibTeX XML Cite \textit{J. de Wiljes} and \textit{X. T. Tong}, Nonlinearity 33, No. 9, 4752--4782 (2020; Zbl 07268432) Full Text: DOI
Katzfuss, Matthias; Stroud, Jonathan R.; Wikle, Christopher K. Ensemble Kalman methods for high-dimensional hierarchical dynamic space-time models. (English) Zbl 1445.62246 J. Am. Stat. Assoc. 115, No. 530, 866-885 (2020). MSC: 62M20 86A32 62H11 PDF BibTeX XML Cite \textit{M. Katzfuss} et al., J. Am. Stat. Assoc. 115, No. 530, 866--885 (2020; Zbl 1445.62246) Full Text: DOI
Imperiale, S.; Moireau, P.; Tonnoir, A. Analysis of an observer strategy for initial state reconstruction of wave-like systems in unbounded domains. (English) Zbl 1452.65207 ESAIM, Control Optim. Calc. Var. 26, Paper No. 45, 50 p. (2020). MSC: 65M32 93B07 93D20 35L05 PDF BibTeX XML Cite \textit{S. Imperiale} et al., ESAIM, Control Optim. Calc. Var. 26, Paper No. 45, 50 p. (2020; Zbl 1452.65207) Full Text: DOI
Agoshkov, Valery I.; Lezina, Natalia R.; Parmuzin, Eugene I.; Sheloput, Tatiana O.; Shutyaev, Victor P.; Zakharova, Natalia B. Methods of variational data assimilation with application to problems of hydrothermodynamics of marine water areas. (English) Zbl 1447.49063 Russ. J. Numer. Anal. Math. Model. 35, No. 4, 189-202 (2020). MSC: 49S05 65K10 80M30 80A23 49M27 PDF BibTeX XML Cite \textit{V. I. Agoshkov} et al., Russ. J. Numer. Anal. Math. Model. 35, No. 4, 189--202 (2020; Zbl 1447.49063) Full Text: DOI
Wen, Linjie; Wu, Jiangqi; Lu, Linjun; Li, Jinglai A defensive marginal particle filtering method for data assimilation. (English) Zbl 1448.62138 SIAM/ASA J. Uncertain. Quantif. 8, 1215-1235 (2020). MSC: 62M20 62F15 62R07 65C05 PDF BibTeX XML Cite \textit{L. Wen} et al., SIAM/ASA J. Uncertain. Quantif. 8, 1215--1235 (2020; Zbl 1448.62138) Full Text: DOI
Yang, Lun; Wang, Peng; Tartakovsky, Daniel M. Resource-constrained model selection for uncertainty propagation and data assimilation. (English) Zbl 07242147 SIAM/ASA J. Uncertain. Quantif. 8, 1118-1138 (2020). MSC: 65C30 65C05 76D05 60H30 PDF BibTeX XML Cite \textit{L. Yang} et al., SIAM/ASA J. Uncertain. Quantif. 8, 1118--1138 (2020; Zbl 07242147) Full Text: DOI
Holm, Håvard H.; Sætra, Martin L.; Brodtkorb, André R. Data assimilation for ocean drift trajectories using massive ensembles and GPUs. (English) Zbl 07239656 Klöfkorn, Robert (ed.) et al., Finite volumes for complex applications IX – methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15–19, 2020. In 2 volumes. Volume I and II. Cham: Springer (ISBN 978-3-030-43650-6/hbk; 978-3-030-43651-3/ebook). Springer Proceedings in Mathematics & Statistics 323, 715-723 (2020). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65N08 62M99 60G35 35L65 76B15 68N19 65Y10 65Y05 86A05 PDF BibTeX XML Cite \textit{H. H. Holm} et al., in: Finite volumes for complex applications IX -- methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15--19, 2020. In 2 volumes. Volume I and II. Cham: Springer. 715--723 (2020; Zbl 07239656) Full Text: DOI
Chen, Nan Improving the prediction of complex nonlinear turbulent dynamical systems using nonlinear filter, smoother and backward sampling techniques. (English) Zbl 1444.62102 Res. Math. Sci. 7, No. 3, Paper No. 18, 39 p. (2020). MSC: 62M10 62M20 62R07 62G32 62J05 62H12 62H30 62P35 86A32 PDF BibTeX XML Cite \textit{N. Chen}, Res. Math. Sci. 7, No. 3, Paper No. 18, 39 p. (2020; Zbl 1444.62102) Full Text: DOI
Atifi, Khalid; Essoufi, El-Hassan; Khouiti, Bouchra An inverse backward problem for degenerate two-dimensional parabolic equation. (English) Zbl 1445.35320 Opusc. Math. 40, No. 4, 427-449 (2020). MSC: 35R30 35K20 35K65 PDF BibTeX XML Cite \textit{K. Atifi} et al., Opusc. Math. 40, No. 4, 427--449 (2020; Zbl 1445.35320) Full Text: DOI
Cotter, Colin; Crisan, Dan; Holm, Darryl; Pan, Wei; Shevchenko, Igor Data assimilation for a quasi-geostrophic model with circulation-preserving stochastic transport noise. (English) Zbl 1444.62134 J. Stat. Phys. 179, No. 5-6, 1186-1221 (2020). MSC: 62P12 62R07 65C05 60K35 82C05 82D15 PDF BibTeX XML Cite \textit{C. Cotter} et al., J. Stat. Phys. 179, No. 5--6, 1186--1221 (2020; Zbl 1444.62134) Full Text: DOI
Tondeur, Maxime; Carrassi, Alberto; Vannitsem, Stephane; Bocquet, Marc On temporal scale separation in coupled data assimilation with the ensemble Kalman filter. (English) Zbl 1446.37074 J. Stat. Phys. 179, No. 5-6, 1161-1185 (2020). MSC: 37M99 37D45 86A05 93E11 PDF BibTeX XML Cite \textit{M. Tondeur} et al., J. Stat. Phys. 179, No. 5--6, 1161--1185 (2020; Zbl 1446.37074) Full Text: DOI
Yeong, Hoong C.; Beeson, Ryne T.; Namachchivaya, N. Sri; Perkowski, Nicolas Particle filters with nudging in multiscale chaotic systems: with application to the Lorenz ’96 atmospheric model. (English) Zbl 1448.60093 J. Nonlinear Sci. 30, No. 4, 1519-1552 (2020). MSC: 60G35 93E11 49L20 93E20 86A10 PDF BibTeX XML Cite \textit{H. C. Yeong} et al., J. Nonlinear Sci. 30, No. 4, 1519--1552 (2020; Zbl 1448.60093) Full Text: DOI
Burger, Martin; Pietschmann, Jan-Frederik; Wolfram, Marie-Therese Data assimilation in price formation. (English) Zbl 1443.91159 Inverse Probl. 36, No. 6, Article ID 064003, 25 p. (2020). MSC: 91B24 49N15 PDF BibTeX XML Cite \textit{M. Burger} et al., Inverse Probl. 36, No. 6, Article ID 064003, 25 p. (2020; Zbl 1443.91159) Full Text: DOI
Alfonzo, Miguel; Oliver, Dean S. Seismic data assimilation with an imperfect model. (English) Zbl 1434.86027 Comput. Geosci. 24, No. 2, 889-905 (2020). MSC: 86A15 86A22 86A32 86-08 PDF BibTeX XML Cite \textit{M. Alfonzo} and \textit{D. S. Oliver}, Comput. Geosci. 24, No. 2, 889--905 (2020; Zbl 1434.86027) Full Text: DOI
de Moraes, Rafael J.; Hajibeygi, Hadi; Jansen, Jan Dirk A multiscale method for data assimilation. (English) Zbl 1434.86032 Comput. Geosci. 24, No. 2, 425-442 (2020). MSC: 86A22 86A32 62M20 PDF BibTeX XML Cite \textit{R. J. de Moraes} et al., Comput. Geosci. 24, No. 2, 425--442 (2020; Zbl 1434.86032) Full Text: DOI
Biswas, Tania; Dharmatti, Sheetal; Mohan, Manil T. Maximum principle for some optimal control problems governed by 2D nonlocal Cahn-Hillard-Navier-Stokes equations. (English) Zbl 1440.49003 J. Math. Fluid Mech. 22, No. 3, Paper No. 34, 42 p. (2020). MSC: 49J20 35Q35 76D03 49K15 49S05 58E30 PDF BibTeX XML Cite \textit{T. Biswas} et al., J. Math. Fluid Mech. 22, No. 3, Paper No. 34, 42 p. (2020; Zbl 1440.49003) Full Text: DOI
Farhat, A.; Glatt-Holtz, N. E.; Martinez, V. R.; McQuarrie, S. A.; Whitehead, J. P. Data assimilation in large Prandtl Rayleigh-Bénard convection from thermal measurements. (English) Zbl 1434.76041 SIAM J. Appl. Dyn. Syst. 19, No. 1, 510-540 (2020). MSC: 76E06 62M20 35Q35 76-10 62P35 PDF BibTeX XML Cite \textit{A. Farhat} et al., SIAM J. Appl. Dyn. Syst. 19, No. 1, 510--540 (2020; Zbl 1434.76041) Full Text: DOI
Zhang, Xinlei; Xiao, Heng; Gomez, Thomas; Coutier-Delgosha, Olivier Evaluation of ensemble methods for quantifying uncertainties in steady-state CFD applications with small ensemble sizes. (English) Zbl 07200207 Comput. Fluids 203, Article ID 104530, 13 p. (2020). MSC: 76 PDF BibTeX XML Cite \textit{X. Zhang} et al., Comput. Fluids 203, Article ID 104530, 13 p. (2020; Zbl 07200207) Full Text: DOI
Mu, Xiyu; Cheng, Hao; Xu, Qi; Liu, Guoqing Stably numerical solving inverse boundary value problem for data assimilation. (English) Zbl 07193554 Appl. Math. Modelling 82, 825-835 (2020). MSC: 35 86 PDF BibTeX XML Cite \textit{X. Mu} et al., Appl. Math. Modelling 82, 825--835 (2020; Zbl 07193554) Full Text: DOI
Fillion, Anthony; Bocquet, Marc; Gratton, Serge; Gürol, Selime; Sakov, Pavel An iterative ensemble Kalman smoother in presence of additive model error. (English) Zbl 1435.93167 SIAM/ASA J. Uncertain. Quantif. 8, 198-228 (2020). MSC: 93E11 93E14 93C05 PDF BibTeX XML Cite \textit{A. Fillion} et al., SIAM/ASA J. Uncertain. Quantif. 8, 198--228 (2020; Zbl 1435.93167) Full Text: DOI
Shutyaev, V.; Le Dimet, F.-X.; Parmuzin, E. Sensitivity of response functions in variational data assimilation for joint parameter and initial state estimation. (English) Zbl 1441.49027 J. Comput. Appl. Math. 373, Article ID 112368, 14 p. (2020). MSC: 49K40 PDF BibTeX XML Cite \textit{V. Shutyaev} et al., J. Comput. Appl. Math. 373, Article ID 112368, 14 p. (2020; Zbl 1441.49027) Full Text: DOI
Barone, Alessandro; Gizzi, Alessio; Fenton, Flavio; Filippi, Simonetta; Veneziani, Alessandro Experimental validation of a variational data assimilation procedure for estimating space-dependent cardiac conductivities. (English) Zbl 1441.74003 Comput. Methods Appl. Mech. Eng. 358, Article ID 112615, 23 p. (2020). MSC: 74-05 92-05 74L15 92C50 PDF BibTeX XML Cite \textit{A. Barone} et al., Comput. Methods Appl. Mech. Eng. 358, Article ID 112615, 23 p. (2020; Zbl 1441.74003) Full Text: DOI
Hansen, A. C.; Thesing, L. On the stable sampling rate for binary measurements and wavelet reconstruction. (English) Zbl 07175634 Appl. Comput. Harmon. Anal. 48, No. 2, 630-654 (2020). MSC: 94A20 42C40 94A12 PDF BibTeX XML Cite \textit{A. C. Hansen} and \textit{L. Thesing}, Appl. Comput. Harmon. Anal. 48, No. 2, 630--654 (2020; Zbl 07175634) Full Text: DOI
Akyildiz, Ömer Deniz; Míguez, Joaquín Nudging the particle filter. (English) Zbl 1436.62447 Stat. Comput. 30, No. 2, 305-330 (2020). MSC: 62M20 62P05 62G35 PDF BibTeX XML Cite \textit{Ö. D. Akyildiz} and \textit{J. Míguez}, Stat. Comput. 30, No. 2, 305--330 (2020; Zbl 1436.62447) Full Text: DOI
Carlson, Elizabeth; Hudson, Joshua; Larios, Adam Parameter recovery for the 2 dimensional Navier-Stokes equations via continuous data assimilation. (English) Zbl 07163356 SIAM J. Sci. Comput. 42, No. 1, A250-A270 (2020). MSC: 34D06 35Q30 35Q35 37C50 PDF BibTeX XML Cite \textit{E. Carlson} et al., SIAM J. Sci. Comput. 42, No. 1, A250--A270 (2020; Zbl 07163356) Full Text: DOI
García-Archilla, Bosco; Novo, Julia; Titi, Edriss S. Uniform in time error estimates for a finite element method applied to a downscaling data assimilation algorithm for the Navier-Stokes equations. (English) Zbl 1448.65157 SIAM J. Numer. Anal. 58, No. 1, 410-429 (2020). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 65M60 65M12 35Q30 65M15 65M20 76B75 65N30 65M70 PDF BibTeX XML Cite \textit{B. García-Archilla} et al., SIAM J. Numer. Anal. 58, No. 1, 410--429 (2020; Zbl 1448.65157) Full Text: DOI
de Wiljes, Jana; Pathiraja, Sahani; Reich, Sebastian Ensemble transform algorithms for nonlinear smoothing problems. (English) Zbl 07149722 SIAM J. Sci. Comput. 42, No. 1, A87-A114 (2020). MSC: 65C05 62M20 93E11 62F15 86A22 PDF BibTeX XML Cite \textit{J. de Wiljes} et al., SIAM J. Sci. Comput. 42, No. 1, A87--A114 (2020; Zbl 07149722) Full Text: DOI arXiv
Yu, Hans; Juniper, Matthew P.; Magri, Luca Combined state and parameter estimation in level-set methods. (English) Zbl 07302252 J. Comput. Phys. 399, Article ID 108950, 27 p. (2019). MSC: 62F10 62F15 76V05 76M35 PDF BibTeX XML Cite \textit{H. Yu} et al., J. Comput. Phys. 399, Article ID 108950, 27 p. (2019; Zbl 07302252) Full Text: DOI
Archibald, Richard; Bao, Feng; Tu, Xuemin A direct filter method for parameter estimation. (English) Zbl 07302195 J. Comput. Phys. 398, Article ID 108871, 17 p. (2019). MSC: 62F15 62M20 PDF BibTeX XML Cite \textit{R. Archibald} et al., J. Comput. Phys. 398, Article ID 108871, 17 p. (2019; Zbl 07302195) Full Text: DOI
Rudy, Samuel H.; Brunton, Steven L.; Kutz, J. Nathan Smoothing and parameter estimation by soft-adherence to governing equations. (English) Zbl 07302191 J. Comput. Phys. 398, Article ID 108860, 13 p. (2019). MSC: 62F10 37M10 34F05 65L06 PDF BibTeX XML Cite \textit{S. H. Rudy} et al., J. Comput. Phys. 398, Article ID 108860, 13 p. (2019; Zbl 07302191) Full Text: DOI
Mons, Vincent; Wang, Qi; Zaki, Tamer A. Kriging-enhanced ensemble variational data assimilation for scalar-source identification in turbulent environments. (English) Zbl 07302189 J. Comput. Phys. 398, Article ID 108856, 28 p. (2019). MSC: 76M30 76F55 76F65 PDF BibTeX XML Cite \textit{V. Mons} et al., J. Comput. Phys. 398, Article ID 108856, 28 p. (2019; Zbl 07302189) Full Text: DOI
Yang, Lun; Qin, Yi; Narayan, Akil; Wang, Peng Data assimilation for models with parametric uncertainty. (English) Zbl 1452.65022 J. Comput. Phys. 396, 785-798 (2019). MSC: 65C30 65M75 65M70 PDF BibTeX XML Cite \textit{L. Yang} et al., J. Comput. Phys. 396, 785--798 (2019; Zbl 1452.65022) 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 PDF BibTeX XML Cite \textit{M. Wang} et al., J. Comput. Phys. 396, 427--450 (2019; Zbl 1452.76192) Full Text: DOI
Chang, Haibin; Zhang, Dongxiao Identification of physical processes via combined data-driven and data-assimilation methods. (English) Zbl 07301949 J. Comput. Phys. 393, 337-350 (2019). MSC: 62P35 65Z05 65M32 35R60 PDF BibTeX XML Cite \textit{H. Chang} and \textit{D. Zhang}, J. Comput. Phys. 393, 337--350 (2019; Zbl 07301949) Full Text: DOI
Shirangi, Mehrdad G. Closed-loop field development with multipoint geostatistics and statistical performance assessment. (English) Zbl 1452.86017 J. Comput. Phys. 390, 249-264 (2019). MSC: 86A20 65K10 86-08 PDF BibTeX XML Cite \textit{M. G. Shirangi}, J. Comput. Phys. 390, 249--264 (2019; Zbl 1452.86017) Full Text: DOI
Ragnoli, Emanuele; Zayats, Mykhaylo; O’Donncha, Fearghal; Zhuk, Sergiy Localised sequential state estimation for advection dominated flows with non-Gaussian uncertainty description. (English) Zbl 1452.76228 J. Comput. Phys. 387, 356-375 (2019). MSC: 76R50 65C20 65M60 PDF BibTeX XML Cite \textit{E. Ragnoli} et al., J. Comput. Phys. 387, 356--375 (2019; Zbl 1452.76228) Full Text: DOI
Wang, Yuepeng; Hu, Kun; Ren, Lanlan; Lin, Guang Optimal observations-based retrieval of topography in 2D shallow water equations using PC-EnKF. (English) Zbl 1451.62165 J. Comput. Phys. 382, 43-60 (2019). MSC: 62P35 PDF BibTeX XML Cite \textit{Y. Wang} et al., J. Comput. Phys. 382, 43--60 (2019; Zbl 1451.62165) Full Text: DOI
Guo, Zhenyu; Reynolds, Albert C. INSIM-FT in three-dimensions with gravity. (English) Zbl 1451.62164 J. Comput. Phys. 380, 143-169 (2019). MSC: 62P35 76S05 76T06 76-10 PDF BibTeX XML Cite \textit{Z. Guo} and \textit{A. C. Reynolds}, J. Comput. Phys. 380, 143--169 (2019; Zbl 1451.62164) Full Text: DOI
Zerfas, Camille; Rebholz, Leo G.; Schneier, Michael; Iliescu, Traian Continuous data assimilation reduced order models of fluid flow. (English) Zbl 1442.65006 Comput. Methods Appl. Mech. Eng. 357, Article ID 112596, 18 p. (2019). MSC: 65C99 76D05 PDF BibTeX XML Cite \textit{C. Zerfas} et al., Comput. Methods Appl. Mech. Eng. 357, Article ID 112596, 18 p. (2019; Zbl 1442.65006) Full Text: DOI
Seidl, D. Thomas; Oberai, Assad A.; Barbone, Paul E. The coupled adjoint-state equation in forward and inverse linear elasticity: incompressible plane stress. (English) Zbl 1442.74076 Comput. Methods Appl. Mech. Eng. 357, Article ID 112588, 22 p. (2019). MSC: 74G75 74B05 PDF BibTeX XML Cite \textit{D. T. Seidl} et al., Comput. Methods Appl. Mech. Eng. 357, Article ID 112588, 22 p. (2019; Zbl 1442.74076) Full Text: DOI
Monnier, Jérôme; Zhu, Jiamin Inference of the bottom topography in anisothermal mildly-sheared shallow ice flows. (English) Zbl 1440.86010 Comput. Methods Appl. Mech. Eng. 348, 954-977 (2019). MSC: 86A40 86A22 PDF BibTeX XML Cite \textit{J. Monnier} and \textit{J. Zhu}, Comput. Methods Appl. Mech. Eng. 348, 954--977 (2019; Zbl 1440.86010) Full Text: DOI
Larios, Adam; Rebholz, Leo G.; Zerfas, Camille Global in time stability and accuracy of IMEX-FEM data assimilation schemes for Navier-Stokes equations. (English) Zbl 1440.76075 Comput. Methods Appl. Mech. Eng. 345, 1077-1093 (2019). MSC: 76M10 65M60 35B42 35Q30 37L65 65M12 65M15 76D05 PDF BibTeX XML Cite \textit{A. Larios} et al., Comput. Methods Appl. Mech. Eng. 345, 1077--1093 (2019; Zbl 1440.76075) Full Text: DOI
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 PDF BibTeX XML Cite \textit{Y. Wang} et al., Comput. Methods Appl. Mech. Eng. 345, 263--282 (2019; Zbl 1440.65065) Full Text: DOI
Hammond, Janelle K.; Chakir, R.; Bourquin, F.; Maday, Y. PBDW: a non-intrusive reduced basis data assimilation method and its application to an urban dispersion modeling framework. (English) Zbl 07187269 Appl. Math. Modelling 76, 1-25 (2019). MSC: 86 62 PDF BibTeX XML Cite \textit{J. K. Hammond} et al., Appl. Math. Modelling 76, 1--25 (2019; Zbl 07187269) Full Text: DOI
Zhu, Zhaochen; Yan, Hanjun; Ng, Michael K. The use of forecast gradients in 3DVar data assimilation. (English) Zbl 07187186 Appl. Math. Modelling 74, 244-257 (2019). MSC: 86 93 PDF BibTeX XML Cite \textit{Z. Zhu} et al., Appl. Math. Modelling 74, 244--257 (2019; Zbl 07187186) Full Text: DOI
Kevlahan, N. K.-R.; Khan, R.; Protas, B. On the convergence of data assimilation for the one-dimensional shallow water equations with sparse observations. (English) Zbl 1437.65103 Adv. Comput. Math. 45, No. 5-6, 3195-3216 (2019). MSC: 65M06 65M08 65K10 35L05 35Q35 35Q93 86A05 35Q86 93B07 PDF BibTeX XML Cite \textit{N. K. R. Kevlahan} et al., Adv. Comput. Math. 45, No. 5--6, 3195--3216 (2019; Zbl 1437.65103) Full Text: DOI
Aretz-Nellesen, Nicole; Grepl, Martin A.; Veroy, Karen 3D-VAR for parameterized partial differential equations: a certified reduced basis approach. (English) Zbl 1434.49019 Adv. Comput. Math. 45, No. 5-6, 2369-2400 (2019). MSC: 49K20 65K10 65M15 65M60 PDF BibTeX XML Cite \textit{N. Aretz-Nellesen} et al., Adv. Comput. Math. 45, No. 5--6, 2369--2400 (2019; Zbl 1434.49019) Full Text: DOI
Chkrebtii, Oksana A.; Campbell, David A. Adaptive step-size selection for state-space probabilistic differential equation solvers. (English) Zbl 1436.62092 Stat. Comput. 29, No. 6, 1285-1295 (2019). MSC: 62F15 62K05 65C05 65L05 PDF BibTeX XML Cite \textit{O. A. Chkrebtii} and \textit{D. A. Campbell}, Stat. Comput. 29, No. 6, 1285--1295 (2019; Zbl 1436.62092) Full Text: DOI
Kelly, David; Stuart, Andrew M. Ergodicity and accuracy of optimal particle filters for Bayesian data assimilation. (English) Zbl 07130689 Chin. Ann. Math., Ser. B 40, No. 5, 811-842 (2019). MSC: 60G35 62M20 37H99 60F99 PDF BibTeX XML Cite \textit{D. Kelly} and \textit{A. M. Stuart}, Chin. Ann. Math., Ser. B 40, No. 5, 811--842 (2019; Zbl 07130689) Full Text: DOI arXiv
Jolly, Michael S.; Martinez, Vincent R.; Olson, Eric J.; Titi, Edriss S. Continuous data assimilation with blurred-in-time measurements of the surface quasi-geostrophic equation. (English) Zbl 1427.35204 Chin. Ann. Math., Ser. B 40, No. 5, 721-764 (2019). MSC: 35Q35 35Q86 35Q93 37B55 93B52 35B40 76W05 86A10 PDF BibTeX XML Cite \textit{M. S. Jolly} et al., Chin. Ann. Math., Ser. B 40, No. 5, 721--764 (2019; Zbl 1427.35204) Full Text: DOI arXiv
Chen, Yian; Stechmann, Samuel N. Multi-model communication and data assimilation for mitigating model error and improving forecasts. (English) Zbl 07130685 Chin. Ann. Math., Ser. B 40, No. 5, 689-720 (2019). MSC: 60H10 60H15 86A10 62M20 PDF BibTeX XML Cite \textit{Y. Chen} and \textit{S. N. Stechmann}, Chin. Ann. Math., Ser. B 40, No. 5, 689--720 (2019; Zbl 07130685) Full Text: DOI
Shutyaev, V. P.; Le Dimet, F.-X. Sensitivity of functionals of variational data assimilation problems. (English. Russian original) Zbl 1428.49045 Dokl. Math. 99, No. 3, 295-298 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 486, No. 4, 421-425 (2019). MSC: 49Q10 49K20 PDF BibTeX XML Cite \textit{V. P. Shutyaev} and \textit{F. X. Le Dimet}, Dokl. Math. 99, No. 3, 295--298 (2019; Zbl 1428.49045); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 486, No. 4, 421--425 (2019) Full Text: DOI
Celik, Emine; Olson, Eric; Titi, Edriss S. Spectral filtering of interpolant observables for a discrete-in-time downscaling data assimilation algorithm. (English) Zbl 1428.35276 SIAM J. Appl. Dyn. Syst. 18, No. 2, 1118-1142 (2019). MSC: 35Q30 37C50 76B75 93C20 PDF BibTeX XML Cite \textit{E. Celik} et al., SIAM J. Appl. Dyn. Syst. 18, No. 2, 1118--1142 (2019; Zbl 1428.35276) Full Text: DOI arXiv
Belyaev, K. P.; Kuleshov, A. A.; Tuchkova, N. P. The stability problem for a dynamic system with the assimilation of observational data. (English) Zbl 1432.65097 Lobachevskii J. Math. 40, No. 7, 911-917 (2019). MSC: 65L07 37N30 PDF BibTeX XML Cite \textit{K. P. Belyaev} et al., Lobachevskii J. Math. 40, No. 7, 911--917 (2019; Zbl 1432.65097) Full Text: DOI
Anh, Cung The; Bach, Bui Huy; Toi, Vu Manh Discrete data assimilation for the three-dimensional Navier-Stokes-\(\alpha\) model. (English) Zbl 1431.35099 Ann. Pol. Math. 122, No. 3, 201-219 (2019). MSC: 35Q30 37C50 76B75 93C20 76D05 PDF BibTeX XML Cite \textit{C. T. Anh} et al., Ann. Pol. Math. 122, No. 3, 201--219 (2019; Zbl 1431.35099) Full Text: DOI
Albers, David J.; Levine, Matthew E.; Mamykina, Lena; Hripcsak, George The parameter Houlihan: a solution to high-throughput identifiability indeterminacy for brutally ill-posed problems. (English) Zbl 1425.92047 Math. Biosci. 316, Artikel ID 108242, 15 p. (2019). MSC: 92C30 62P10 PDF BibTeX XML Cite \textit{D. J. Albers} et al., Math. Biosci. 316, Artikel ID 108242, 15 p. (2019; Zbl 1425.92047) Full Text: DOI
Farhat, Aseel; Lunasin, Evelyn; Titi, Edriss S. A data assimilation algorithm: the paradigm of the 3D Leray-\(\alpha\) model of turbulence. (English) Zbl 1436.35274 Ben Ayed, Mohamed (ed.) et al., Partial differential equations arising from physics and geometry. A volume in memory of Abbas Bahri. Based on the conference, Hammamet, Tunisia, March 20–29, 2015. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 450, 253-273 (2019). MSC: 35Q30 93C20 37C50 76B75 34D06 76F02 76D05 35Q86 86A05 PDF BibTeX XML Cite \textit{A. Farhat} et al., Lond. Math. Soc. Lect. Note Ser. 450, 253--273 (2019; Zbl 1436.35274) Full Text: DOI arXiv
Nino-Ruiz, Elias David Non-linear data assimilation via trust region optimization. (English) Zbl 1438.62152 Comput. Appl. Math. 38, No. 3, Paper No. 129, 26 p. (2019). MSC: 62L20 60J22 49K45 62M20 PDF BibTeX XML Cite \textit{E. D. Nino-Ruiz}, Comput. Appl. Math. 38, No. 3, Paper No. 129, 26 p. (2019; Zbl 1438.62152) Full Text: DOI
Hudson, Joshua; Jolly, Michael Numerical efficacy study of data assimilation for the 2D magnetohydrodynamic equations. (English) Zbl 07100323 J. Comput. Dyn. 6, No. 1, 131-145 (2019). MSC: 34D06 76W05 PDF BibTeX XML Cite \textit{J. Hudson} and \textit{M. Jolly}, J. Comput. Dyn. 6, No. 1, 131--145 (2019; Zbl 07100323) Full Text: DOI
Maday, Yvon; Taddei, Tommaso Adaptive PBDW approach to state estimation: noisy observations; user-defined update spaces. (English) Zbl 1426.76551 SIAM J. Sci. Comput. 41, No. 4, B669-B693 (2019). MSC: 76M25 65N30 65N15 PDF BibTeX XML Cite \textit{Y. Maday} and \textit{T. Taddei}, SIAM J. Sci. Comput. 41, No. 4, B669--B693 (2019; Zbl 1426.76551) Full Text: DOI arXiv
Reich, Sebastian Data assimilation: the Schrödinger perspective. (English) Zbl 1437.62350 Acta Numerica 28, 635-711 (2019). MSC: 62M20 60G07 62L10 PDF BibTeX XML Cite \textit{S. Reich}, Acta Numerica 28, 635--711 (2019; Zbl 1437.62350) Full Text: DOI
Evensen, Geir Accounting for model errors in iterative ensemble smoothers. (English) Zbl 1421.86011 Comput. Geosci. 23, No. 4, 761-775 (2019). MSC: 86A22 86A32 PDF BibTeX XML Cite \textit{G. Evensen}, Comput. Geosci. 23, No. 4, 761--775 (2019; Zbl 1421.86011) Full Text: DOI
Xiao, Cong; Leeuwenburgh, Olwijn; Lin, Hai Xiang; Heemink, Arnold Non-intrusive subdomain POD-TPWL for reservoir history matching. (English) Zbl 1419.86025 Comput. Geosci. 23, No. 3, 537-565 (2019). MSC: 86A22 65Q30 76S05 PDF BibTeX XML Cite \textit{C. Xiao} et al., Comput. Geosci. 23, No. 3, 537--565 (2019; Zbl 1419.86025) Full Text: DOI
De los Reyes, Juan Carlos; Loayza-Romero, Estefanía Total generalized variation regularization in data assimilation for Burgers’ equation. (English) Zbl 1418.76021 Inverse Probl. Imaging 13, No. 4, 755-786 (2019). MSC: 76B75 49M15 49K20 PDF BibTeX XML Cite \textit{J. C. De los Reyes} and \textit{E. Loayza-Romero}, Inverse Probl. Imaging 13, No. 4, 755--786 (2019; Zbl 1418.76021) Full Text: DOI
Korn, Peter A regularity-aware algorithm for variational data assimilation of an idealized coupled atmosphere-ocean model. (English) Zbl 1447.35330 J. Sci. Comput. 79, No. 2, 748-786 (2019). MSC: 35Q86 35Q35 35A15 76D05 76U60 35A01 35B65 49J20 49M29 86-08 86A05 86A10 86A22 PDF BibTeX XML Cite \textit{P. Korn}, J. Sci. Comput. 79, No. 2, 748--786 (2019; Zbl 1447.35330) Full Text: DOI
Fletcher, Steven J.; Kliewer, Anton J.; Jones, Andrew S. Quantification of optimal choices of parameters in lognormal variational data assimilation and their chaotic behavior. (English) Zbl 1411.62336 Math. Geosci. 51, No. 2, 187-207 (2019). MSC: 62P12 86A22 86A32 PDF BibTeX XML Cite \textit{S. J. Fletcher} et al., Math. Geosci. 51, No. 2, 187--207 (2019; Zbl 1411.62336) Full Text: DOI
Huang, Hui; Liu, Jian-Guo; Lu, Jianfeng Learning interacting particle systems: diffusion parameter estimation for aggregation equations. (English) Zbl 1412.65171 Math. Models Methods Appl. Sci. 29, No. 1, 1-29 (2019). MSC: 65M75 35K55 60H30 60J65 65M32 35R60 PDF BibTeX XML Cite \textit{H. Huang} et al., Math. Models Methods Appl. Sci. 29, No. 1, 1--29 (2019; Zbl 1412.65171) Full Text: DOI arXiv
Ng, Michael K.; Zhu, Zhaochen Sparse matrix computation for air quality forecast data assimilation. (English) Zbl 07037502 Numer. Algorithms 80, No. 3, 687-707 (2019). MSC: 65 PDF BibTeX XML Cite \textit{M. K. Ng} and \textit{Z. Zhu}, Numer. Algorithms 80, No. 3, 687--707 (2019; Zbl 07037502) Full Text: DOI
Biswas, Animikh; Foias, Ciprian; Mondaini, Cecilia F.; Titi, Edriss S. Downscaling data assimilation algorithm with applications to statistical solutions of the Navier-Stokes equations. (English) Zbl 1420.35181 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 2, 295-326 (2019). Reviewer: Gheorghe Moroşanu (Budapest) MSC: 35Q30 76D06 34A45 34A55 35B42 93B52 PDF BibTeX XML Cite \textit{A. Biswas} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 2, 295--326 (2019; Zbl 1420.35181) Full Text: DOI arXiv
Kumar, Devesh; Srinivasan, Sanjay Ensemble-based assimilation of nonlinearly related dynamic data in reservoir models exhibiting non-Gaussian characteristics. (English) Zbl 1406.86022 Math. Geosci. 51, No. 1, 75-107 (2019). MSC: 86A22 PDF BibTeX XML Cite \textit{D. Kumar} and \textit{S. Srinivasan}, Math. Geosci. 51, No. 1, 75--107 (2019; Zbl 1406.86022) Full Text: DOI
Hoang, H. S.; Baraille, Remy A simple numerical method based simultaneous stochastic perturbation for estimation of high dimensional matrices. (English) Zbl 1405.93206 Multidimensional Syst. Signal Process. 30, No. 1, 195-217 (2019). MSC: 93E10 93E03 93E15 93C73 93C15 PDF BibTeX XML Cite \textit{H. S. Hoang} and \textit{R. Baraille}, Multidimensional Syst. Signal Process. 30, No. 1, 195--217 (2019; Zbl 1405.93206) Full Text: DOI
Li, Long; Vidard, Arthur; Le Dimet, François-Xavier; Ma, Jianwei Topological data assimilation using Wasserstein distance. (English) Zbl 1408.86008 Inverse Probl. 35, No. 1, Article ID 015006, 23 p. (2019). MSC: 86A22 62-07 60B05 62M30 86A32 PDF BibTeX XML Cite \textit{L. Li} et al., Inverse Probl. 35, No. 1, Article ID 015006, 23 p. (2019; Zbl 1408.86008) Full Text: DOI
Pei, Yuan Continuous data assimilation for the 3D primitive equations of the ocean. (English) Zbl 1404.35370 Commun. Pure Appl. Anal. 18, No. 2, 643-661 (2019). MSC: 35Q35 35Q86 35B40 35B45 35B65 35K40 35K61 76D03 76D05 86A05 PDF BibTeX XML Cite \textit{Y. Pei}, Commun. Pure Appl. Anal. 18, No. 2, 643--661 (2019; Zbl 1404.35370) Full Text: DOI
Belyaev, K. P.; Kuleshov, A. A.; Smirnov, I. N.; Tanazhura, C. A. S. Comparison of data assimilation methods into hydrodynamic models of ocean circulation. (Russian. English summary) Zbl 1439.86001 Mat. Model. 30, No. 12, 39-54 (2018). MSC: 86-08 86A05 62P35 86-10 PDF BibTeX XML Cite \textit{K. P. Belyaev} et al., Mat. Model. 30, No. 12, 39--54 (2018; Zbl 1439.86001) Full Text: MNR
Badías, Alberto; Alfaro, Icíar; González, David; Chinesta, Francisco; Cueto, Elías Reduced order modeling for physically-based augmented reality. (English) Zbl 1440.74470 Comput. Methods Appl. Mech. Eng. 341, 53-70 (2018). MSC: 74S99 65F99 65D19 70E99 PDF BibTeX XML Cite \textit{A. Badías} et al., Comput. Methods Appl. Mech. Eng. 341, 53--70 (2018; Zbl 1440.74470) Full Text: DOI
Lee, Wonjung; Zabaras, Nicholas Parallel probabilistic graphical model approach for nonparametric Bayesian inference. (English) Zbl 1418.62084 J. Comput. Phys. 372, 546-563 (2018). MSC: 62G05 62F15 62M20 62H99 PDF BibTeX XML Cite \textit{W. Lee} and \textit{N. Zabaras}, J. Comput. Phys. 372, 546--563 (2018; Zbl 1418.62084) Full Text: DOI
Bellsky, Thomas; Mitchell, Lewis A shadowing-based inflation scheme for ensemble data assimilation. (English) Zbl 1418.62028 Physica D 380-381, 1-7 (2018). MSC: 62C10 65C05 PDF BibTeX XML Cite \textit{T. Bellsky} and \textit{L. Mitchell}, Physica D 380--381, 1--7 (2018; Zbl 1418.62028) Full Text: DOI
Guerra, Telma; Catarino, Catarina; Mestre, Tânia; Santos, Sara; Tiago, Jorge; Sequeira, Adélia A data assimilation approach for non-Newtonian blood flow simulations in 3D geometries. (English) Zbl 1426.76763 Appl. Math. Comput. 321, 176-194 (2018). MSC: 76Z05 76D55 92C35 49K20 76M10 PDF BibTeX XML Cite \textit{T. Guerra} et al., Appl. Math. Comput. 321, 176--194 (2018; Zbl 1426.76763) Full Text: DOI
Ish-Horowicz, Jonathan; Oksanen, Lauri Fully discrete finite element data assimilation method for the heat equation. (English) Zbl 1420.65124 ESAIM, Math. Model. Numer. Anal. 52, No. 5, 2065-2082 (2018). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65N30 65M12 65M15 65M30 65M32 65M06 35R30 80A23 PDF BibTeX XML Cite \textit{J. Ish-Horowicz} and \textit{L. Oksanen}, ESAIM, Math. Model. Numer. Anal. 52, No. 5, 2065--2082 (2018; Zbl 1420.65124) Full Text: DOI
Branicki, M.; Majda, A. J.; Law, K. J. H. Accuracy of some approximate Gaussian filters for the Navier-Stokes equation in the presence of model error. (English) Zbl 1408.93132 Multiscale Model. Simul. 16, No. 4, 1756-1794 (2018). MSC: 93E11 93E10 35Q30 93C20 76D05 93E25 PDF BibTeX XML Cite \textit{M. Branicki} et al., Multiscale Model. Simul. 16, No. 4, 1756--1794 (2018; Zbl 1408.93132) Full Text: DOI