Liao, Qichen; Wang, Zihao; Chen, Jing; Bai, Bo; Jin, Shi; Wu, Hao Fast sinkhorn. II: Collinear triangular matrix and linear time accurate computation of optimal transport. (English) Zbl 07784035 J. Sci. Comput. 98, No. 1, Paper No. 1, 19 p. (2024). MSC: 49Q22 49M25 65K10 PDFBibTeX XMLCite \textit{Q. Liao} et al., J. Sci. Comput. 98, No. 1, Paper No. 1, 19 p. (2024; Zbl 07784035) Full Text: DOI arXiv
Gugat, Martin; Herty, Michael Turnpike properties of optimal boundary control problems with random linear hyperbolic systems. (English) Zbl 1522.35432 ESAIM, Control Optim. Calc. Var. 29, Paper No. 55, 27 p. (2023). MSC: 35Q49 93E20 49K45 49J20 35R60 PDFBibTeX XMLCite \textit{M. Gugat} and \textit{M. Herty}, ESAIM, Control Optim. Calc. Var. 29, Paper No. 55, 27 p. (2023; Zbl 1522.35432) Full Text: DOI
Calvez, Vincent; Hivert, Hélène; Yoldaş, Havva Concentration in Lotka-Volterra parabolic equations: an asymptotic-preserving scheme. (English) Zbl 1518.65083 Numer. Math. 154, No. 1-2, 103-153 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65M06 65M12 65M22 45D05 35F21 35B40 49L25 49M41 92D25 35Q92 PDFBibTeX XMLCite \textit{V. Calvez} et al., Numer. Math. 154, No. 1--2, 103--153 (2023; Zbl 1518.65083) Full Text: DOI arXiv
Borghi, Giacomo; Herty, Michael; Pareschi, Lorenzo Constrained consensus-based optimization. (English) Zbl 1517.35227 SIAM J. Optim. 33, No. 1, 211-236 (2023). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35Q84 35Q93 90C26 90C56 49M41 35D30 35A01 35A02 35R60 PDFBibTeX XMLCite \textit{G. Borghi} et al., SIAM J. Optim. 33, No. 1, 211--236 (2023; Zbl 1517.35227) Full Text: DOI arXiv
Wu, Zhizhang; Zhang, Zhiwen Convergence analysis of the localized orthogonal decomposition method for the semiclassical Schrödinger equations with multiscale potentials. (English) Zbl 1503.65275 J. Sci. Comput. 93, No. 3, Paper No. 73, 30 p. (2022). MSC: 65M99 65M12 65M15 65K10 49M41 35B05 35B65 74Q10 35Q41 PDFBibTeX XMLCite \textit{Z. Wu} and \textit{Z. Zhang}, J. Sci. Comput. 93, No. 3, Paper No. 73, 30 p. (2022; Zbl 1503.65275) Full Text: DOI arXiv
Veldman, D. W. M.; Zuazua, E. A framework for randomized time-splitting in linear-quadratic optimal control. (English) Zbl 1493.49035 Numer. Math. 151, No. 2, 495-549 (2022). MSC: 49N10 49K45 65C99 65L20 37M05 37H05 PDFBibTeX XMLCite \textit{D. W. M. Veldman} and \textit{E. Zuazua}, Numer. Math. 151, No. 2, 495--549 (2022; Zbl 1493.49035) Full Text: DOI arXiv
Ha, Seung-Yeal; Kang, Myeongju; Kim, Dohyun; Kim, Jeongho; Yang, Insoon Stochastic consensus dynamics for nonconvex optimization on the Stiefel manifold: mean-field limit and convergence. (English) Zbl 1485.35361 Math. Models Methods Appl. Sci. 32, No. 3, 533-617 (2022). MSC: 35Q93 49N80 60H30 82C31 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., Math. Models Methods Appl. Sci. 32, No. 3, 533--617 (2022; Zbl 1485.35361) Full Text: DOI
Liu, Chun; Wang, Cheng; Wang, Yiwei; Wise, Steven M. Convergence analysis of the variational operator splitting scheme for a reaction-diffusion system with detailed balance. (English) Zbl 07516278 SIAM J. Numer. Anal. 60, No. 2, 781-803 (2022). MSC: 65-XX 35K35 35K55 49J40 65M06 65M12 PDFBibTeX XMLCite \textit{C. Liu} et al., SIAM J. Numer. Anal. 60, No. 2, 781--803 (2022; Zbl 07516278) Full Text: DOI arXiv
Cui, Jianbo; Dieci, Luca; Zhou, Haomin Time discretizations of Wasserstein-Hamiltonian flows. (English) Zbl 1497.65255 Math. Comput. 91, No. 335, 1019-1075 (2022). MSC: 65P10 35R02 58B20 49Q22 49L25 PDFBibTeX XMLCite \textit{J. Cui} et al., Math. Comput. 91, No. 335, 1019--1075 (2022; Zbl 1497.65255) Full Text: DOI arXiv
Kusch, Jonas; Schlachter, Louisa Oscillation mitigation of hyperbolicity-preserving intrusive uncertainty quantification methods for systems of conservation laws. (English) Zbl 1498.65143 J. Comput. Appl. Math. 400, Article ID 113714, 24 p. (2022). Reviewer: Murli Gupta (Washington, D.C.) MSC: 65M08 65M60 65K10 65Y05 49M41 35B05 35L60 35L65 35Q31 35Q62 37L65 76B10 35R60 PDFBibTeX XMLCite \textit{J. Kusch} and \textit{L. Schlachter}, J. Comput. Appl. Math. 400, Article ID 113714, 24 p. (2022; Zbl 1498.65143) Full Text: DOI arXiv
Faccanoni, Gloria; Grec, Bérénice; Penel, Yohan A homogeneous relaxation low Mach number model. (English) Zbl 1490.35312 ESAIM, Math. Model. Numer. Anal. 55, No. 4, 1569-1598 (2021). MSC: 35Q35 35Q79 76T10 76N10 35B40 35B50 35B09 65M25 49M41 PDFBibTeX XMLCite \textit{G. Faccanoni} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 4, 1569--1598 (2021; Zbl 1490.35312) Full Text: DOI
Benamou, Jean-David (ed.); Ehrlacher, Virginie (ed.); Matthes, Daniel (ed.) Applications of optimal transportation in the natural sciences. Abstracts from the workshop held February 21–27, 2021 (online meeting). (English) Zbl 1487.00030 Oberwolfach Rep. 18, No. 1, 507-587 (2021). MSC: 00B05 00B25 49-06 82-06 49Q22 28A33 35Q49 82C70 92Exx PDFBibTeX XMLCite \textit{J.-D. Benamou} (ed.) et al., Oberwolfach Rep. 18, No. 1, 507--587 (2021; Zbl 1487.00030) Full Text: DOI
Liu, Shu; Sun, Haodong; Zha, Hongyuan A particle-evolving method for approximating the optimal transport plan. (English) Zbl 1486.49066 Nielsen, Frank (ed.) et al., Geometric science of information. 5th international conference, GSI 2021, Paris, France, July 21–23, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12829, 878-887 (2021). MSC: 49Q22 PDFBibTeX XMLCite \textit{S. Liu} et al., Lect. Notes Comput. Sci. 12829, 878--887 (2021; Zbl 1486.49066) Full Text: DOI
Jiang, Ning; Zhang, Zeng Local well-posedness and sensitivity analysis for the self-organized kinetic model. (English) Zbl 1483.35276 Acta Appl. Math. 176, Paper No. 12, 26 p. (2021). MSC: 35Q84 35B45 35B35 35B65 35A01 35A02 49Q12 35R60 PDFBibTeX XMLCite \textit{N. Jiang} and \textit{Z. Zhang}, Acta Appl. Math. 176, Paper No. 12, 26 p. (2021; Zbl 1483.35276) Full Text: DOI
Ko, Dongnam; Zuazua, Enrique Model predictive control with random batch methods for a guiding problem. (English) Zbl 1476.49038 Math. Models Methods Appl. Sci. 31, No. 8, 1569-1592 (2021). MSC: 49M29 90C59 93B51 PDFBibTeX XMLCite \textit{D. Ko} and \textit{E. Zuazua}, Math. Models Methods Appl. Sci. 31, No. 8, 1569--1592 (2021; Zbl 1476.49038) Full Text: DOI arXiv
Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia Control with uncertain data of socially structured compartmental epidemic models. (English) Zbl 1467.92167 J. Math. Biol. 82, No. 7, Paper No. 63, 41 p. (2021). MSC: 92D30 49J15 91D10 PDFBibTeX XMLCite \textit{G. Albi} et al., J. Math. Biol. 82, No. 7, Paper No. 63, 41 p. (2021; Zbl 1467.92167) Full Text: DOI arXiv
Schlachter, Louisa; Totzeck, Claudia Parameter identification in uncertain scalar conservation laws discretized with the discontinuous stochastic Galerkin scheme. (English) Zbl 1528.65082 Commun. Comput. Phys. 28, No. 4, 1585-1608 (2020). MSC: 65M60 65M06 65L06 65N30 65M08 65D32 62C10 35L60 37L65 49K45 93E12 35Q62 35R60 PDFBibTeX XMLCite \textit{L. Schlachter} and \textit{C. Totzeck}, Commun. Comput. Phys. 28, No. 4, 1585--1608 (2020; Zbl 1528.65082) Full Text: DOI arXiv
Westernacher-Schneider, John Ryan; Markakis, Charalampos; Tsao, Bing Jyun Hamilton-Jacobi hydrodynamics of pulsating relativistic stars. (English) Zbl 1478.83045 Classical Quantum Gravity 37, No. 15, Article ID 155005, 23 p. (2020). MSC: 83C27 83C55 70H20 85A15 65F22 49S05 49J20 PDFBibTeX XMLCite \textit{J. R. Westernacher-Schneider} et al., Classical Quantum Gravity 37, No. 15, Article ID 155005, 23 p. (2020; Zbl 1478.83045) Full Text: DOI arXiv
Banda, M. K.; Herty, M.; Trimborn, T. Recent developments in controlled crowd dynamics. (English) Zbl 1490.93056 Gibelli, Livio (ed.), Crowd Dynamics, Volume 2. Theory, models, and applications. Cham: Birkhäuser. Model. Simul. Sci. Eng. Technol., 133-157 (2020). MSC: 93C15 49N10 49N80 76E99 70F99 PDFBibTeX XMLCite \textit{M. K. Banda} et al., in: Crowd Dynamics, Volume 2. Theory, models, and applications. Cham: Birkhäuser. 133--157 (2020; Zbl 1490.93056) Full Text: DOI arXiv
Chen, Jing; Jing, Hao; Tong, Ping; Wu, Hao; Yang, Dinghui The auxiliary function method for waveform based earthquake location. (English) Zbl 1436.65072 J. Comput. Phys. 413, Article ID 109453, 18 p. (2020). MSC: 65K10 86A15 49M41 PDFBibTeX XMLCite \textit{J. Chen} et al., J. Comput. Phys. 413, Article ID 109453, 18 p. (2020; Zbl 1436.65072) Full Text: DOI arXiv
Tian, Xiaochuan; Du, Qiang Asymptotically compatible schemes for robust discretization of parametrized problems with applications to nonlocal models. (English) Zbl 1485.65058 SIAM Rev. 62, No. 1, 199-227 (2020). MSC: 65J10 49M25 65N30 65R20 82C21 46N40 45A05 PDFBibTeX XMLCite \textit{X. Tian} and \textit{Q. Du}, SIAM Rev. 62, No. 1, 199--227 (2020; Zbl 1485.65058) Full Text: DOI
Mennemann, J.-F.; Langen, T.; Exl, L.; Mauser, N. J. Optimal control of the self-bound dipolar droplet formation process. (English) Zbl 07674843 Comput. Phys. Commun. 244, 205-216 (2019). MSC: 49-XX 81-XX PDFBibTeX XMLCite \textit{J. F. Mennemann} et al., Comput. Phys. Commun. 244, 205--216 (2019; Zbl 07674843) Full Text: DOI arXiv
Albi, G.; Herty, M.; Pareschi, L. Linear multistep methods for optimal control problems and applications to hyperbolic relaxation systems. (English) Zbl 1428.49003 Appl. Math. Comput. 354, 460-477 (2019). MSC: 49J15 35L65 35Q93 65L06 PDFBibTeX XMLCite \textit{G. Albi} et al., Appl. Math. Comput. 354, 460--477 (2019; Zbl 1428.49003) Full Text: DOI arXiv
Tosin, Andrea; Zanella, Mattia Kinetic-controlled hydrodynamics for traffic models with driver-assist vehicles. (English) Zbl 1428.35268 Multiscale Model. Simul. 17, No. 2, 716-749 (2019). MSC: 35Q20 35Q84 35Q93 49J20 90B20 93B52 35Q35 PDFBibTeX XMLCite \textit{A. Tosin} and \textit{M. Zanella}, Multiscale Model. Simul. 17, No. 2, 716--749 (2019; Zbl 1428.35268) Full Text: DOI arXiv
Alldredge, Graham W.; Frank, Martin; Hauck, Cory D. A regularized entropy-based moment method for kinetic equations. (English) Zbl 1431.65167 SIAM J. Appl. Math. 79, No. 5, 1627-1653 (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 65M60 82C40 35B65 49N15 44A60 65J20 82M10 PDFBibTeX XMLCite \textit{G. W. Alldredge} et al., SIAM J. Appl. Math. 79, No. 5, 1627--1653 (2019; Zbl 1431.65167) Full Text: DOI arXiv
Wu, Hao; Chen, Jing; Huang, Xueyuan; Yang, Dinghui A new earthquake location method based on the waveform inversion. (English) Zbl 1488.49065 Commun. Comput. Phys. 23, No. 1, 118-141 (2018). MSC: 49N45 65K10 86-08 86A15 PDFBibTeX XMLCite \textit{H. Wu} et al., Commun. Comput. Phys. 23, No. 1, 118--141 (2018; Zbl 1488.49065) Full Text: DOI arXiv
Degond, Pierre; Minakowski, Piotr; Zatorska, Ewelina Transport of congestion in two-phase compressible/incompressible flows. (English) Zbl 1516.35304 Nonlinear Anal., Real World Appl. 42, 485-510 (2018). MSC: 35Q30 35Q31 35Q49 76D05 76N06 76T06 76M20 76M12 65M06 65M08 35D30 35A01 49M41 PDFBibTeX XMLCite \textit{P. Degond} et al., Nonlinear Anal., Real World Appl. 42, 485--510 (2018; Zbl 1516.35304) Full Text: DOI arXiv
Sprengel, M.; Ciaramella, G.; Borzì, A. A COKOSNUT code for the control of the time-dependent Kohn-Sham model. (English) Zbl 1376.93047 Comput. Phys. Commun. 214, 231-238 (2017). MSC: 93C20 49N90 81V70 PDFBibTeX XMLCite \textit{M. Sprengel} et al., Comput. Phys. Commun. 214, 231--238 (2017; Zbl 1376.93047) Full Text: DOI
Coquel, Frédéric; Godlewski, Edwige; Haddaoui, Khalil; Marmignon, Claude; Renac, Florent Choice of measure source terms in interface coupling for a model problem in gas dynamics. (English) Zbl 1351.35113 Math. Comput. 85, No. 301, 2305-2339 (2016). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q31 35L04 76M12 76N15 49M20 PDFBibTeX XMLCite \textit{F. Coquel} et al., Math. Comput. 85, No. 301, 2305--2339 (2016; Zbl 1351.35113) Full Text: DOI HAL
Yohana, Elimboto M.; Banda, Mapundi K. High-order relaxation approaches for adjoint-based optimal control problems governed by nonlinear hyperbolic systems of conservation laws. (English) Zbl 1342.49039 J. Numer. Math. 24, No. 1, 45-71 (2016). Reviewer: Igor Bock (Bratislava) MSC: 49M20 49J20 35L65 PDFBibTeX XMLCite \textit{E. M. Yohana} and \textit{M. K. Banda}, J. Numer. Math. 24, No. 1, 45--71 (2016; Zbl 1342.49039) Full Text: DOI Link
Lecaros, Rodrigo; Zuazua, Enrique Control of 2D scalar conservation laws in the presence of shocks. (English) Zbl 1336.35239 Math. Comput. 85, No. 299, 1183-1224 (2016). MSC: 35L67 49J20 90C31 49M30 35L65 35Q93 65M06 PDFBibTeX XMLCite \textit{R. Lecaros} and \textit{E. Zuazua}, Math. Comput. 85, No. 299, 1183--1224 (2016; Zbl 1336.35239) Full Text: DOI Link
Abedian, Rooholah; Adibi, Hojatollah; Dehghan, Mehdi Symmetrical weighted essentially non-oscillatory-flux limiter schemes for Hamilton-Jacobi equations. (English) Zbl 1342.65172 Math. Methods Appl. Sci. 38, No. 18, 4710-4728 (2015). MSC: 65M06 35F21 49L25 PDFBibTeX XMLCite \textit{R. Abedian} et al., Math. Methods Appl. Sci. 38, No. 18, 4710--4728 (2015; Zbl 1342.65172) Full Text: DOI
Lecaros, Rodrigo; Zuazua, Enrique Tracking control of 1D scalar conservation laws in the presence of shocks. (English) Zbl 1325.49032 Ancona, Vincenzo (ed.) et al., Trends in contemporary mathematics. Selected talks based on the presentations at the INdAM day, June 18, 2014. Cham: Springer (ISBN 978-3-319-05253-3/hbk; 978-3-319-05254-0/ebook). Springer INdAM Series 8, 195-219 (2014). MSC: 49M25 49J20 49K40 35L65 PDFBibTeX XMLCite \textit{R. Lecaros} and \textit{E. Zuazua}, Springer INdAM Ser. 8, 195--219 (2014; Zbl 1325.49032) Full Text: DOI
Albi, Giacomo; Herty, Michael; Jörres, Christian; Pareschi, Lorenzo Asymptotic preserving time-discretization of optimal control problems for the Goldstein-Taylor model. (English) Zbl 1311.65079 Numer. Methods Partial Differ. Equations 30, No. 6, 1770-1784 (2014). MSC: 65K10 49J20 49M25 PDFBibTeX XMLCite \textit{G. Albi} et al., Numer. Methods Partial Differ. Equations 30, No. 6, 1770--1784 (2014; Zbl 1311.65079) Full Text: DOI arXiv Link
Banda, Mapundi K.; Herty, Michael Adjoint IMEX-based schemes for control problems governed by hyperbolic conservation laws. (English) Zbl 1241.65055 Comput. Optim. Appl. 51, No. 2, 909-930 (2012). MSC: 65K05 35L99 65N08 49K99 PDFBibTeX XMLCite \textit{M. K. Banda} and \textit{M. Herty}, Comput. Optim. Appl. 51, No. 2, 909--930 (2012; Zbl 1241.65055) Full Text: DOI
Herty, Michael; Schleper, Veronika Time discretizations for numerical optimisation of hyperbolic problems. (English) Zbl 1252.65104 Appl. Math. Comput. 218, No. 1, 183-194 (2011). MSC: 65K10 49J20 49M20 PDFBibTeX XMLCite \textit{M. Herty} and \textit{V. Schleper}, Appl. Math. Comput. 218, No. 1, 183--194 (2011; Zbl 1252.65104) Full Text: DOI
Tran, Quang Huy; Baudin, Michaël; Coquel, Frédéric A relaxation method via the Born-Infeld system. (English) Zbl 1182.35162 Math. Models Methods Appl. Sci. 19, No. 8, 1203-1240 (2009). Reviewer: Stepan Agop Tersian (Rousse) MSC: 35L65 35Q35 49M20 35B50 PDFBibTeX XMLCite \textit{Q. H. Tran} et al., Math. Models Methods Appl. Sci. 19, No. 8, 1203--1240 (2009; Zbl 1182.35162) Full Text: DOI
Sieniutycz, Stanislaw Dynamic programming and Lagrange multipliers for active relaxation of resources in nonlinear non-equilibrium systems. (English) Zbl 1168.90639 Appl. Math. Modelling 33, No. 3, 1457-1478 (2009). MSC: 90C39 49L20 49J15 49L25 49M25 PDFBibTeX XMLCite \textit{S. Sieniutycz}, Appl. Math. Modelling 33, No. 3, 1457--1478 (2009; Zbl 1168.90639) Full Text: DOI
Li, Fengyan; Shu, Chi-Wang; Zhang, Yong-Tao; Zhao, Hongkai A second order discontinuous Galerkin fast sweeping method for eikonal equations. (English) Zbl 1151.65092 J. Comput. Phys. 227, No. 17, 8191-8208 (2008). MSC: 65N30 35F15 49L25 65N12 65N15 PDFBibTeX XMLCite \textit{F. Li} et al., J. Comput. Phys. 227, No. 17, 8191--8208 (2008; Zbl 1151.65092) Full Text: DOI
Hoch, Philippe; Pironneau, Olivier A vector Hamilton-Jacobi formulation for the numerical simulation of Euler flows. (English) Zbl 1134.76057 C. R., Math., Acad. Sci. Paris 342, No. 2, 151-156 (2006). MSC: 76N25 35L65 49L20 76M20 PDFBibTeX XMLCite \textit{P. Hoch} and \textit{O. Pironneau}, C. R., Math., Acad. Sci. Paris 342, No. 2, 151--156 (2006; Zbl 1134.76057) Full Text: DOI
Bao, Weizhu; Tang, Weijun Ground-state solution of Bose–Einstein condensate by directly minimizing the energy functional. (English) Zbl 1028.82500 J. Comput. Phys. 187, No. 1, 230-254 (2003). MSC: 82-08 81-08 81V80 65L60 49K35 82B26 82B10 PDFBibTeX XMLCite \textit{W. Bao} and \textit{W. Tang}, J. Comput. Phys. 187, No. 1, 230--254 (2003; Zbl 1028.82500) Full Text: DOI arXiv