Pietschmann, Jan-Frederik; Stötzner, Ailyn; Winkler, Max Numerical investigation of agent-controlled pedestrian dynamics using a structure-preserving finite volume scheme. (English) Zbl 07796536 Adv. Comput. Math. 50, No. 1, Paper No. 4, 26 p. (2024). MSC: 49K20 35Q91 35M33 65M08 76A30 PDFBibTeX XMLCite \textit{J.-F. Pietschmann} et al., Adv. Comput. Math. 50, No. 1, Paper No. 4, 26 p. (2024; Zbl 07796536) Full Text: DOI arXiv
Jerhaoui, Othmane; Zidani, Hasnaa Viscosity solutions of Hamilton-Jacobi equations in proper \(\text{CAT(0)}\) spaces. (English) Zbl 07793684 J. Geom. Anal. 34, No. 2, Paper No. 47, 53 p. (2024). MSC: 35D40 35F21 35R02 49L25 PDFBibTeX XMLCite \textit{O. Jerhaoui} and \textit{H. Zidani}, J. Geom. Anal. 34, No. 2, Paper No. 47, 53 p. (2024; Zbl 07793684) Full Text: DOI
Camilli, Fabio; Marchi, Claudio A continuous dependence estimate for viscous Hamilton-Jacobi equations on networks with applications. (English) Zbl 07782509 Calc. Var. Partial Differ. Equ. 63, No. 1, Paper No. 18, 22 p. (2024). MSC: 35R02 35B27 35B30 35F21 49N70 91A16 PDFBibTeX XMLCite \textit{F. Camilli} and \textit{C. Marchi}, Calc. Var. Partial Differ. Equ. 63, No. 1, Paper No. 18, 22 p. (2024; Zbl 07782509) Full Text: DOI arXiv
Staritsyn, Maksim Vladimirovich; Pogodaev, Nikolaĭ Il’ich; Goncharova, Elena Vladimirovna Pontryagin’s maximum principle and indirect descent method for optimal impulsive control of nonlocal transport equation. (Russian. English summary) Zbl 07792280 Izv. Irkutsk. Gos. Univ., Ser. Mat. 46, 66-84 (2023). MSC: 49N25 65K05 49K15 49Q20 49J27 PDFBibTeX XMLCite \textit{M. V. Staritsyn} et al., Izv. Irkutsk. Gos. Univ., Ser. Mat. 46, 66--84 (2023; Zbl 07792280) Full Text: DOI Link
Herzog, Roland; Pietschmann, Jan-Frederik; Winkler, Max Optimal control of Hughes’ model for pedestrian flow via local attraction. (English) Zbl 07771774 Appl. Math. Optim. 88, No. 3, Paper No. 87, 44 p. (2023). MSC: 35Q93 49J20 35K20 76A30 90B20 35B65 35A24 93C20 PDFBibTeX XMLCite \textit{R. Herzog} et al., Appl. Math. Optim. 88, No. 3, Paper No. 87, 44 p. (2023; Zbl 07771774) Full Text: DOI arXiv OA License
Molina, Emilio; Martinon, Pierre; Ramírez, Héctor Optimal control approaches for open pit planning. (English) Zbl 1526.49021 Optim. Eng. 24, No. 4, 2887-2909 (2023). MSC: 49K30 49M25 90C26 PDFBibTeX XMLCite \textit{E. Molina} et al., Optim. Eng. 24, No. 4, 2887--2909 (2023; Zbl 1526.49021) Full Text: DOI
Chertovskih, Roman; Pogodaev, Nikolay; Staritsyn, Maxim Optimal control of nonlocal continuity equations: numerical solution. (English) Zbl 1525.49021 Appl. Math. Optim. 88, No. 3, Paper No. 86, 37 p. (2023). MSC: 49K20 49J45 93C20 49K40 PDFBibTeX XMLCite \textit{R. Chertovskih} et al., Appl. Math. Optim. 88, No. 3, Paper No. 86, 37 p. (2023; Zbl 1525.49021) Full Text: DOI arXiv OA License
Piccoli, Benedetto Control of multi-agent systems: results, open problems, and applications. (English) Zbl 1520.93022 Open Math. 21, Article ID 20220585, 26 p. (2023). MSC: 93A16 34H05 49K15 49N90 91D30 93-02 PDFBibTeX XMLCite \textit{B. Piccoli}, Open Math. 21, Article ID 20220585, 26 p. (2023; Zbl 1520.93022) Full Text: DOI arXiv
Almi, Stefano; Morandotti, Marco; Solombrino, Francesco Optimal control problems in transport dynamics with additive noise. (English) Zbl 1527.49029 J. Differ. Equations 373, 1-47 (2023). Reviewer: A. Omrane (Cayenne) MSC: 49N80 92D25 35Q93 49J45 60H10 49M41 93E20 PDFBibTeX XMLCite \textit{S. Almi} et al., J. Differ. Equations 373, 1--47 (2023; Zbl 1527.49029) Full Text: DOI arXiv
Fagioli, Simone; Kaufmann, Alic; Radici, Emanuela Optimal control problems of nonlocal interaction equations. (English) Zbl 1521.49003 ESAIM, Control Optim. Calc. Var. 29, Paper No. 40, 28 p. (2023). MSC: 49J20 45K05 92D25 PDFBibTeX XMLCite \textit{S. Fagioli} et al., ESAIM, Control Optim. Calc. Var. 29, Paper No. 40, 28 p. (2023; Zbl 1521.49003) Full Text: DOI arXiv
Almi, Stefano; D’Eramo, Claudio; Morandotti, Marco; Solombrino, Francesco Mean-field limits for entropic multi-population dynamical systems. (English) Zbl 1516.35419 Milan J. Math. 91, No. 1, 175-212 (2023). MSC: 35Q91 35Q49 91A16 60J76 49J27 37C10 35B65 35A01 35A02 PDFBibTeX XMLCite \textit{S. Almi} et al., Milan J. Math. 91, No. 1, 175--212 (2023; Zbl 1516.35419) Full Text: DOI arXiv
Ciampa, Gennaro; Rossi, Francesco Vanishing viscosity in mean-field optimal control. (English) Zbl 1512.49025 ESAIM, Control Optim. Calc. Var. 29, Paper No. 29, 38 p. (2023). Reviewer: Savin Treanta (Bucureşti) MSC: 49J55 93E20 49J20 PDFBibTeX XMLCite \textit{G. Ciampa} and \textit{F. Rossi}, ESAIM, Control Optim. Calc. Var. 29, Paper No. 29, 38 p. (2023; Zbl 1512.49025) Full Text: DOI arXiv
Garcke, Harald; Lam, Kei Fong; Nürnberg, Robert; Signori, Andrea Phase field topology optimisation for 4D printing. (English) Zbl 1512.49007 ESAIM, Control Optim. Calc. Var. 29, Paper No. 24, 46 p. (2023). MSC: 49J21 49K40 49J50 PDFBibTeX XMLCite \textit{H. Garcke} et al., ESAIM, Control Optim. Calc. Var. 29, Paper No. 24, 46 p. (2023; Zbl 1512.49007) Full Text: DOI arXiv
Allaire, Grégoire; Bihr, Martin; Bogosel, Beniamin; Godoy, Matias Accessibility constraints in structural optimization via distance functions. (English) Zbl 07679187 J. Comput. Phys. 484, Article ID 112083, 31 p. (2023). MSC: 74Pxx 90Cxx 49Qxx PDFBibTeX XMLCite \textit{G. Allaire} et al., J. Comput. Phys. 484, Article ID 112083, 31 p. (2023; Zbl 07679187) Full Text: DOI
Garcke, Harald; Lam, Kei Fong; Nürnberg, Robert; Signori, Andrea Overhang penalization in additive manufacturing via phase field structural topology optimization with anisotropic energies. (English) Zbl 1511.49002 Appl. Math. Optim. 87, No. 3, Paper No. 44, 50 p. (2023). MSC: 49J20 49K40 49J50 PDFBibTeX XMLCite \textit{H. Garcke} et al., Appl. Math. Optim. 87, No. 3, Paper No. 44, 50 p. (2023; Zbl 1511.49002) Full Text: DOI arXiv
Herty, Michael; Thünen, Anna; Trimborn, Torsten; Visconti, Giuseppe Continuous limits of residual neural networks in case of large input data. (English) Zbl 1512.35576 Commun. Appl. Ind. Math. 13, No. 1, 96-120 (2022). MSC: 35Q79 49N80 92B20 PDFBibTeX XMLCite \textit{M. Herty} et al., Commun. Appl. Ind. Math. 13, No. 1, 96--120 (2022; Zbl 1512.35576) Full Text: DOI arXiv
Arjmand, Saeed Sadeghi; Mazanti, Guilherme Nonsmooth mean field games with state constraints. (English) Zbl 1505.49028 ESAIM, Control Optim. Calc. Var. 28, Paper No. 74, 42 p. (2022). MSC: 49N80 49J52 35Q89 49K15 49N60 35A01 91A16 PDFBibTeX XMLCite \textit{S. S. Arjmand} and \textit{G. Mazanti}, ESAIM, Control Optim. Calc. Var. 28, Paper No. 74, 42 p. (2022; Zbl 1505.49028) Full Text: DOI arXiv
Saluzzi, Luca; Alla, Alessandro; Falcone, Maurizio Error estimates for a tree structure algorithm solving finite horizon control problems. (English) Zbl 1503.49025 ESAIM, Control Optim. Calc. Var. 28, Paper No. 69, 25 p. (2022). MSC: 49L20 49J15 49J20 93B52 35F21 90C39 35D40 PDFBibTeX XMLCite \textit{L. Saluzzi} et al., ESAIM, Control Optim. Calc. Var. 28, Paper No. 69, 25 p. (2022; Zbl 1503.49025) Full Text: DOI arXiv
Aduamoah, Mildred; Goddard, Benjamin D.; Pearson, John W.; Roden, Jonna C. Pseudospectral methods and iterative solvers for optimization problems from multiscale particle dynamics. (English) Zbl 1502.35169 BIT 62, No. 4, 1703-1743 (2022). MSC: 35Q82 35Q93 82C22 82M36 65M70 65N35 65F10 35B65 49M41 PDFBibTeX XMLCite \textit{M. Aduamoah} et al., BIT 62, No. 4, 1703--1743 (2022; Zbl 1502.35169) Full Text: DOI
Lombardini, Luca; Rossi, Francesco Obstructions to extension of Wasserstein distances for variable masses. (English) Zbl 1514.28003 Proc. Am. Math. Soc. 150, No. 11, 4879-4890 (2022). MSC: 28A33 49Q22 PDFBibTeX XMLCite \textit{L. Lombardini} and \textit{F. Rossi}, Proc. Am. Math. Soc. 150, No. 11, 4879--4890 (2022; Zbl 1514.28003) Full Text: DOI arXiv
Bagagiolo, Fabio; Faggian, Silvia; Maggistro, Rosario; Pesenti, Raffaele Optimal control of the mean field equilibrium for a pedestrian tourists’ flow model. (English) Zbl 1514.76009 Netw. Spat. Econ. 22, No. 2, 243-266 (2022). MSC: 76A30 49N80 91A16 PDFBibTeX XMLCite \textit{F. Bagagiolo} et al., Netw. Spat. Econ. 22, No. 2, 243--266 (2022; Zbl 1514.76009) Full Text: DOI arXiv
Arjmand, Saeed Sadeghi; Mazanti, Guilherme Multipopulation minimal-time mean field games. (English) Zbl 1492.49037 SIAM J. Control Optim. 60, No. 4, 1942-1969 (2022). MSC: 49N80 35Q89 93C15 35B40 35A01 91A16 PDFBibTeX XMLCite \textit{S. S. Arjmand} and \textit{G. Mazanti}, SIAM J. Control Optim. 60, No. 4, 1942--1969 (2022; Zbl 1492.49037) Full Text: DOI arXiv
Di, Bolei; Lamperski, Andrew Newton’s method, Bellman recursion and differential dynamic programming for unconstrained nonlinear dynamic games. (English) Zbl 1494.91020 Dyn. Games Appl. 12, No. 2, 394-442 (2022). MSC: 91A25 91A10 49L20 49M15 PDFBibTeX XMLCite \textit{B. Di} and \textit{A. Lamperski}, Dyn. Games Appl. 12, No. 2, 394--442 (2022; Zbl 1494.91020) Full Text: DOI
Ri, Kuk Hwan; Sonu, Kuk Hyon A numerical construction of the universal feedback control in problems of nonlinear controls under disturbance. (English) Zbl 1491.49022 J. Sci. Comput. 91, No. 2, Paper No. 64, 24 p. (2022). MSC: 49N35 49L12 35F21 49N90 91A23 PDFBibTeX XMLCite \textit{K. H. Ri} and \textit{K. H. Sonu}, J. Sci. Comput. 91, No. 2, Paper No. 64, 24 p. (2022; Zbl 1491.49022) Full Text: DOI
Ho, Myong-Song; Pak, Ji-Song; Jo, Song-Mi; Kim, Ju-Song Neighbor-gradient single-pass method for solving anisotropic eikonal equation. (English) Zbl 1500.65092 J. Sci. Comput. 91, No. 2, Paper No. 33, 21 p. (2022). Reviewer: Ljiljana Teofanov (Novi Sad) MSC: 65N06 49L12 49K15 35D40 93C10 PDFBibTeX XMLCite \textit{M.-S. Ho} et al., J. Sci. Comput. 91, No. 2, Paper No. 33, 21 p. (2022; Zbl 1500.65092) Full Text: DOI arXiv
Herty, Michael; Steffensen, Sonja; Thünen, Anna Multiscale control of Stackelberg games. (English) Zbl 07538497 Math. Comput. Simul. 200, 468-488 (2022). MSC: 49-XX 91-XX PDFBibTeX XMLCite \textit{M. Herty} et al., Math. Comput. Simul. 200, 468--488 (2022; Zbl 07538497) Full Text: DOI arXiv
Albi, Giacomo; Almi, Stefano; Morandotti, Marco; Solombrino, Francesco Mean-field selective optimal control via transient leadership. (English) Zbl 1486.49052 Appl. Math. Optim. 85, No. 2, Paper No. 22, 44 p. (2022). MSC: 49N80 35Q93 35Q91 60J76 49J45 35Q49 49M41 PDFBibTeX XMLCite \textit{G. Albi} et al., Appl. Math. Optim. 85, No. 2, Paper No. 22, 44 p. (2022; Zbl 1486.49052) Full Text: DOI arXiv
Cavagnari, Giulia; Lisini, Stefano; Orrieri, Carlo; Savaré, Giuseppe Lagrangian, Eulerian and Kantorovich formulations of multi-agent optimal control problems: equivalence and gamma-convergence. (English) Zbl 1492.49038 J. Differ. Equations 322, 268-364 (2022). Reviewer: Fabio Paronetto (Padova) MSC: 49N80 49J45 49J55 49Q22 76A02 PDFBibTeX XMLCite \textit{G. Cavagnari} et al., J. Differ. Equations 322, 268--364 (2022; Zbl 1492.49038) Full Text: DOI arXiv
Dimarco, Giacomo; Tosin, Andrea; Zanella, Mattia Kinetic derivation of Aw-Rascle-Zhang-type traffic models with driver-assist vehicles. (English) Zbl 1514.35304 J. Stat. Phys. 186, No. 1, Paper No. 17, 26 p. (2022). MSC: 35Q20 35Q90 35Q93 90B20 76A30 82C40 35R09 45K05 49M41 93C20 90-08 PDFBibTeX XMLCite \textit{G. Dimarco} et al., J. Stat. Phys. 186, No. 1, Paper No. 17, 26 p. (2022; Zbl 1514.35304) Full Text: DOI arXiv
Ciaramella, Gabriele; Fabrini, Giulia Multilevel techniques for the solution of HJB minimum-time control problems. (English) Zbl 1485.93180 J. Syst. Sci. Complex. 34, No. 6, 2069-2091 (2021). MSC: 93B52 49L12 49L20 PDFBibTeX XMLCite \textit{G. Ciaramella} and \textit{G. Fabrini}, J. Syst. Sci. Complex. 34, No. 6, 2069--2091 (2021; Zbl 1485.93180) Full Text: DOI Link
Bonnet, Benoît; Frankowska, Hélène Necessary optimality conditions for optimal control problems in Wasserstein spaces. (English) Zbl 1486.30151 Appl. Math. Optim. 84, Suppl. 2, 1281-1330 (2021); correction ibid. 84, Suppl. 2, 1819 (2021). MSC: 30L99 34K09 49J53 49K21 49Q22 58E25 PDFBibTeX XMLCite \textit{B. Bonnet} and \textit{H. Frankowska}, Appl. Math. Optim. 84, 1281--1330 (2021; Zbl 1486.30151) Full Text: DOI arXiv
Bagagiolo, Fabio; Maggistro, Rosario; Pesenti, Raffaele Origin-to-destination network flow with path preferences and velocity controls: a mean field game-like approach. (English) Zbl 1481.90111 J. Dyn. Games 8, No. 4, 359-380 (2021). MSC: 90B20 90B06 90B10 91A16 49J15 PDFBibTeX XMLCite \textit{F. Bagagiolo} et al., J. Dyn. Games 8, No. 4, 359--380 (2021; Zbl 1481.90111) Full Text: DOI arXiv
Desquilbet, François; Cao, Jian; Cupillard, Paul; Métivier, Ludovic; Mirebeau, Jean-Marie Single pass computation of first seismic wave travel time in three dimensional heterogeneous media with general anisotropy. (English) Zbl 1493.65172 J. Sci. Comput. 89, No. 1, Paper No. 23, 37 p. (2021). MSC: 65N06 65K10 49M41 86A15 74E10 74L05 PDFBibTeX XMLCite \textit{F. Desquilbet} et al., J. Sci. Comput. 89, No. 1, Paper No. 23, 37 p. (2021; Zbl 1493.65172) Full Text: DOI HAL
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
Chiarello, Felisia Angela; Piccoli, Benedetto; Tosin, Andrea Multiscale control of generic second order traffic models by driver-assist vehicles. (English) Zbl 1470.35372 Multiscale Model. Simul. 19, No. 2, 589-611 (2021). MSC: 35Q93 35Q70 90B20 93B52 49M41 PDFBibTeX XMLCite \textit{F. A. Chiarello} et al., Multiscale Model. Simul. 19, No. 2, 589--611 (2021; Zbl 1470.35372) Full Text: DOI arXiv
Bonnet, Benoît; Rossi, Francesco Intrinsic Lipschitz regularity of mean-field optimal controls. (English) Zbl 1466.35068 SIAM J. Control Optim. 59, No. 3, 2011-2046 (2021). MSC: 35B65 49J20 49J30 58E25 PDFBibTeX XMLCite \textit{B. Bonnet} and \textit{F. Rossi}, SIAM J. Control Optim. 59, No. 3, 2011--2046 (2021; Zbl 1466.35068) Full Text: DOI arXiv
Cannarsa, Piermarco; Capuani, Rossana; Cardaliaguet, Pierre Mean field games with state constraints: from mild to pointwise solutions of the PDE system. (English) Zbl 1467.49023 Calc. Var. Partial Differ. Equ. 60, No. 3, Paper No. 108, 33 p. (2021). Reviewer: Savin Treanta (Bucureşti) MSC: 49L25 49N60 49K40 49N90 PDFBibTeX XMLCite \textit{P. Cannarsa} et al., Calc. Var. Partial Differ. Equ. 60, No. 3, Paper No. 108, 33 p. (2021; Zbl 1467.49023) Full Text: DOI arXiv
Yegorov, Ivan; Dower, Peter M. Perspectives on characteristics based curse-of-dimensionality-free numerical approaches for solving Hamilton-Jacobi equations. (English) Zbl 1461.49028 Appl. Math. Optim. 83, No. 1, 1-49 (2021). MSC: 49K15 49L20 49L25 49M05 49N35 49N70 65K10 65M06 65M25 35F21 PDFBibTeX XMLCite \textit{I. Yegorov} and \textit{P. M. Dower}, Appl. Math. Optim. 83, No. 1, 1--49 (2021; Zbl 1461.49028) Full Text: DOI arXiv
Kubin, A.; Ponsiglione, M. Attractive Riesz potentials acting on hard spheres. (English) Zbl 1475.49020 Nonlinearity 34, No. 1, 350-371 (2021). Reviewer: Elvira Zappale (Roma) MSC: 49J45 49J10 PDFBibTeX XMLCite \textit{A. Kubin} and \textit{M. Ponsiglione}, Nonlinearity 34, No. 1, 350--371 (2021; Zbl 1475.49020) Full Text: DOI arXiv
Cao, Tan H.; Colombo, Giovanni; Mordukhovich, Boris S.; Nguyen, Dao Optimization and discrete approximation of sweeping processes with controlled moving sets and perturbations. (English) Zbl 1454.49033 J. Differ. Equations 274, 461-509 (2021). MSC: 49M25 49J52 49J53 49K45 90C30 PDFBibTeX XMLCite \textit{T. H. Cao} et al., J. Differ. Equations 274, 461--509 (2021; Zbl 1454.49033) Full Text: DOI arXiv
Bonnet, Benoît; Frankowska, Hélène Differential inclusions in Wasserstein spaces: the Cauchy-Lipschitz framework. (English) Zbl 1454.49018 J. Differ. Equations 271, 594-637 (2021). Reviewer: Andrej V. Plotnikov (Odessa) MSC: 49J45 49J21 28B20 34A60 34G20 49Q22 60B05 PDFBibTeX XMLCite \textit{B. Bonnet} and \textit{H. Frankowska}, J. Differ. Equations 271, 594--637 (2021; Zbl 1454.49018) 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
Burger, Martin; Pinnau, René; Totzeck, Claudia; Tse, Oliver; Roth, Andreas Instantaneous control of interacting particle systems in the mean-field limit. (English) Zbl 1454.82025 J. Comput. Phys. 405, Article ID 109181, 20 p. (2020). MSC: 82C22 93C15 49K15 65L06 65M08 PDFBibTeX XMLCite \textit{M. Burger} et al., J. Comput. Phys. 405, Article ID 109181, 20 p. (2020; Zbl 1454.82025) Full Text: DOI arXiv
Carlini, E.; Festa, A.; Forcadel, N. A semi-Lagrangian scheme for Hamilton-Jacobi-Bellman equations on networks. (English) Zbl 1459.65173 SIAM J. Numer. Anal. 58, No. 6, 3165-3196 (2020). Reviewer: Michael Jung (Dresden) MSC: 65M15 65M25 65M12 49L25 90B20 PDFBibTeX XMLCite \textit{E. Carlini} et al., SIAM J. Numer. Anal. 58, No. 6, 3165--3196 (2020; Zbl 1459.65173) Full Text: DOI
Hao, Zhiwei; Fujimoto, Kenji; Zhang, Qiuhua Approximate solutions to the Hamilton-Jacobi equations for generating functions. (English) Zbl 1447.49050 J. Syst. Sci. Complex. 33, No. 2, 261-288 (2020). MSC: 49M41 35F21 PDFBibTeX XMLCite \textit{Z. Hao} et al., J. Syst. Sci. Complex. 33, No. 2, 261--288 (2020; Zbl 1447.49050) Full Text: DOI
Kalise, Dante; Kundu, Sudeep; Kunisch, Karl Robust feedback control of nonlinear PDEs by numerical approximation of high-dimensional Hamilton-Jacobi-Isaacs equations. (English) Zbl 1443.49041 SIAM J. Appl. Dyn. Syst. 19, No. 2, 1496-1524 (2020). MSC: 49N35 49K20 49L20 93B52 93B36 49M25 65K15 PDFBibTeX XMLCite \textit{D. Kalise} et al., SIAM J. Appl. Dyn. Syst. 19, No. 2, 1496--1524 (2020; Zbl 1443.49041) Full Text: DOI arXiv
Mouzouni, Charafeddine On quasi-stationary mean field games models. (English) Zbl 1440.35328 Appl. Math. Optim. 81, No. 3, 655-684 (2020). MSC: 35Q91 49N70 35B40 91A06 91A15 35A01 35A02 PDFBibTeX XMLCite \textit{C. Mouzouni}, Appl. Math. Optim. 81, No. 3, 655--684 (2020; Zbl 1440.35328) Full Text: DOI arXiv
Aurell, Alexander; Djehiche, Boualem Behavior near walls in the mean-field approach to crowd dynamics. (English) Zbl 1439.49071 SIAM J. Appl. Math. 80, No. 3, 1153-1174 (2020). MSC: 49N90 49K15 60H10 60K35 93E20 PDFBibTeX XMLCite \textit{A. Aurell} and \textit{B. Djehiche}, SIAM J. Appl. Math. 80, No. 3, 1153--1174 (2020; Zbl 1439.49071) Full Text: DOI arXiv
Alla, Alessandro; Saluzzi, Luca An HJB-POD approach for the control of nonlinear PDEs on a tree structure. (A HJB-POD approach for the control of nonlinear PDEs on a tree structure.) (English) Zbl 1437.49039 Appl. Numer. Math. 155, 192-207 (2020). MSC: 49L20 93B52 49N35 49M25 90C39 35F21 PDFBibTeX XMLCite \textit{A. Alla} and \textit{L. Saluzzi}, Appl. Numer. Math. 155, 192--207 (2020; Zbl 1437.49039) Full Text: DOI arXiv
Dweik, Samer; Mazanti, Guilherme Sharp semi-concavity in a non-autonomous control problem and \(L^p\) estimates in an optimal-exit MFG. (English) Zbl 1437.91053 NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 2, Paper No. 11, 59 p. (2020). MSC: 91A16 49J15 49N80 PDFBibTeX XMLCite \textit{S. Dweik} and \textit{G. Mazanti}, NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 2, Paper No. 11, 59 p. (2020; Zbl 1437.91053) Full Text: DOI arXiv
Cavagnari, Giulia; Marigonda, Antonio; Piccoli, Benedetto Generalized dynamic programming principle and sparse mean-field control problems. (English) Zbl 1425.49011 J. Math. Anal. Appl. 481, No. 1, Article ID 123437, 45 p. (2020). MSC: 49L20 35F21 49L25 PDFBibTeX XMLCite \textit{G. Cavagnari} et al., J. Math. Anal. Appl. 481, No. 1, Article ID 123437, 45 p. (2020; Zbl 1425.49011) Full Text: DOI arXiv
Bonnet, Benoît A Pontryagin maximum principle in Wasserstein spaces for constrained optimal control problems. (English) Zbl 1442.49025 ESAIM, Control Optim. Calc. Var. 25, Paper No. 52, 38 p. (2019). Reviewer: Hannemann-Tamás (Aachen) MSC: 49K20 49K27 49K45 58E25 49J52 PDFBibTeX XMLCite \textit{B. Bonnet}, ESAIM, Control Optim. Calc. Var. 25, Paper No. 52, 38 p. (2019; Zbl 1442.49025) Full Text: DOI arXiv
Herrera de la Cruz, Jorge; Ivorra, Benjamin; Ramos, Ángel M. An algorithm for solving a class of multiplayer feedback-Nash differential games. (English) Zbl 1435.91031 Math. Probl. Eng. 2019, Article ID 1417275, 14 p. (2019). MSC: 91A23 49L20 PDFBibTeX XMLCite \textit{J. Herrera de la Cruz} et al., Math. Probl. Eng. 2019, Article ID 1417275, 14 p. (2019; Zbl 1435.91031) Full Text: DOI
Mazanti, Guilherme; Santambrogio, Filippo Minimal-time mean field games. (English) Zbl 1428.91006 Math. Models Methods Appl. Sci. 29, No. 8, 1413-1464 (2019). MSC: 91A23 91A15 91A43 49N70 35Q91 PDFBibTeX XMLCite \textit{G. Mazanti} and \textit{F. Santambrogio}, Math. Models Methods Appl. Sci. 29, No. 8, 1413--1464 (2019; Zbl 1428.91006) Full Text: DOI arXiv
Mirebeau, Jean-Marie Riemannian fast-marching on cartesian grids, using Voronoi’s first reduction of quadratic forms. (English) Zbl 1447.65114 SIAM J. Numer. Anal. 57, No. 6, 2608-2655 (2019). MSC: 65N06 65N12 49L20 49L25 35F30 49J20 PDFBibTeX XMLCite \textit{J.-M. Mirebeau}, SIAM J. Numer. Anal. 57, No. 6, 2608--2655 (2019; Zbl 1447.65114) Full Text: DOI
Cacace, Simone; Camilli, Fabio; De Maio, Raul; Tosin, Andrea A measure theoretic approach to traffic flow optimisation on networks. (English) Zbl 1428.49050 Eur. J. Appl. Math. 30, No. 6, 1187-1209 (2019). MSC: 49Q20 49J20 35R02 PDFBibTeX XMLCite \textit{S. Cacace} et al., Eur. J. Appl. Math. 30, No. 6, 1187--1209 (2019; Zbl 1428.49050) Full Text: DOI arXiv
Fornasier, M.; Lisini, S.; Orrieri, C.; Savaré, G. Mean-field optimal control as gamma-limit of finite agent controls. (English) Zbl 1427.35302 Eur. J. Appl. Math. 30, No. 6, 1153-1186 (2019). MSC: 35Q93 49K20 35Q91 93C20 91A06 91A15 93E20 PDFBibTeX XMLCite \textit{M. Fornasier} et al., Eur. J. Appl. Math. 30, No. 6, 1153--1186 (2019; Zbl 1427.35302) 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
Alla, Alessandro; Falcone, Maurizio; Saluzzi, Luca An efficient DP algorithm on a tree-structure for finite horizon optimal control problems. (English) Zbl 1423.49024 SIAM J. Sci. Comput. 41, No. 4, A2384-A2406 (2019). MSC: 49L20 49J15 49J20 93B52 PDFBibTeX XMLCite \textit{A. Alla} et al., SIAM J. Sci. Comput. 41, No. 4, A2384--A2406 (2019; Zbl 1423.49024) Full Text: DOI arXiv
Petrov, Nikolay N.; Solov’eva, Nadezhda A. Multiple capture of given number of evaders in linear recurrent differential games. (English) Zbl 1420.49042 J. Optim. Theory Appl. 182, No. 1, 417-429 (2019). MSC: 49N70 49N75 PDFBibTeX XMLCite \textit{N. N. Petrov} and \textit{N. A. Solov'eva}, J. Optim. Theory Appl. 182, No. 1, 417--429 (2019; Zbl 1420.49042) Full Text: DOI
Carrillo, J. A.; Delgadino, M. G.; Patacchini, F. S. Existence of ground states for aggregation-diffusion equations. (English) Zbl 1433.35417 Anal. Appl., Singap. 17, No. 3, 393-423 (2019). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q92 35A01 35A15 49J20 49S05 92C17 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Anal. Appl., Singap. 17, No. 3, 393--423 (2019; Zbl 1433.35417) Full Text: DOI arXiv
Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia Boltzmann games in heterogeneous consensus dynamics. (English) Zbl 1415.35219 J. Stat. Phys. 175, No. 1, 97-125 (2019). MSC: 35Q20 35Q91 49N70 PDFBibTeX XMLCite \textit{G. Albi} et al., J. Stat. Phys. 175, No. 1, 97--125 (2019; Zbl 1415.35219) Full Text: DOI arXiv
Piccoli, Benedetto Measure differential equations. (English) Zbl 1417.49059 Arch. Ration. Mech. Anal. 233, No. 3, 1289-1317 (2019). MSC: 49Q15 34A12 PDFBibTeX XMLCite \textit{B. Piccoli}, Arch. Ration. Mech. Anal. 233, No. 3, 1289--1317 (2019; Zbl 1417.49059) Full Text: DOI arXiv
Bonnet, Benoît; Rossi, Francesco The Pontryagin Maximum Principle in the Wasserstein space. (English) Zbl 1404.49016 Calc. Var. Partial Differ. Equ. 58, No. 1, Paper No. 11, 36 p. (2019). MSC: 49K45 49K27 93E20 58E25 93B27 49J52 PDFBibTeX XMLCite \textit{B. Bonnet} and \textit{F. Rossi}, Calc. Var. Partial Differ. Equ. 58, No. 1, Paper No. 11, 36 p. (2019; Zbl 1404.49016) Full Text: DOI arXiv
Cavagnari, Giulia; Marigonda, Antonio; Piccoli, Benedetto Superposition principle for differential inclusions. (English) Zbl 1443.49003 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 11th international conference, LSSC 2017, Sozopol, Bulgaria, June 5–9, 2017. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 10665, 201-209 (2018). MSC: 49J15 28A33 PDFBibTeX XMLCite \textit{G. Cavagnari} et al., Lect. Notes Comput. Sci. 10665, 201--209 (2018; Zbl 1443.49003) Full Text: DOI
Albi, Giacomo; Pareschi, Lorenzo Selective model-predictive control for flocking systems. (English) Zbl 1423.93113 Commun. Appl. Ind. Math. 9, No. 2, 4-21 (2018). MSC: 93B40 93A30 93B52 93A14 49N90 PDFBibTeX XMLCite \textit{G. Albi} and \textit{L. Pareschi}, Commun. Appl. Ind. Math. 9, No. 2, 4--21 (2018; Zbl 1423.93113) Full Text: DOI arXiv
Albi, Giacomo; Choi, Young-Pil; Häck, Axel-Stefan Pressureless Euler alignment system with control. (English) Zbl 1411.82025 Math. Models Methods Appl. Sci. 28, No. 9, 1635-1664 (2018). MSC: 82C22 49K20 35Q93 65M08 35Q31 82C80 76N25 PDFBibTeX XMLCite \textit{G. Albi} et al., Math. Models Methods Appl. Sci. 28, No. 9, 1635--1664 (2018; Zbl 1411.82025) Full Text: DOI arXiv
Allaire, Grégoire; Jakabčin, Lukas Taking into account thermal residual stresses in topology optimization of structures built by additive manufacturing. (English) Zbl 1411.49028 Math. Models Methods Appl. Sci. 28, No. 12, 2313-2366 (2018). MSC: 49Q10 74P10 74P15 PDFBibTeX XMLCite \textit{G. Allaire} and \textit{L. Jakabčin}, Math. Models Methods Appl. Sci. 28, No. 12, 2313--2366 (2018; Zbl 1411.49028) Full Text: DOI
Fornasier, Massimo Learning and sparse control of multiagent systems. (English) Zbl 1401.93014 Mehrmann, Volker (ed.) et al., European congress of mathematics. Proceedings of the 7th ECM (7ECM) congress, Berlin, Germany, July 18–22, 2016. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-176-7/hbk; 978-3-03719-676-2/ebook). 551-581 (2018). MSC: 93A14 49N90 93B52 93A30 PDFBibTeX XMLCite \textit{M. Fornasier}, in: European congress of mathematics. Proceedings of the 7th ECM (7ECM) congress, Berlin, Germany, July 18--22, 2016. Zürich: European Mathematical Society (EMS). 551--581 (2018; Zbl 1401.93014) Full Text: DOI Link
Marigonda, Antonio Averaged time-optimal control problem in the space of positive Borel measures. (English) Zbl 1404.49018 ESAIM, Control Optim. Calc. Var. 24, No. 2, 721-740 (2018). Reviewer: Guy Jumarie (Montréal) MSC: 49L20 34A60 49J15 49Q20 PDFBibTeX XMLCite \textit{A. Marigonda}, ESAIM, Control Optim. Calc. Var. 24, No. 2, 721--740 (2018; Zbl 1404.49018) Full Text: DOI Link
Erbrich, Markus; Göttlich, Simone; Pfirsching, Marion Optimal packing of material flow on conveyor belts. (English) Zbl 1391.49003 Optim. Eng. 19, No. 1, 71-96 (2018). MSC: 49J15 49J20 65K10 90C27 PDFBibTeX XMLCite \textit{M. Erbrich} et al., Optim. Eng. 19, No. 1, 71--96 (2018; Zbl 1391.49003) Full Text: DOI
Festa, Adriano; Guglielmi, Roberto; Hermosilla, Christopher; Picarelli, Athena; Sahu, Smita; Sassi, Achille; Silva, Francisco J. Hamilton-Jacobi-Bellman equations. (English) Zbl 1391.49052 Tonon, Daniela (ed.) et al., Optimal control: novel directions and applications. Cham: Springer (ISBN 978-3-319-60770-2/pbk; 978-3-319-60771-9/ebook). Lecture Notes in Mathematics 2180, 127-261 (2017). Reviewer: Hector O. Fattorini (Los Angeles) MSC: 49L20 49K15 49L25 49M25 PDFBibTeX XMLCite \textit{A. Festa} et al., Lect. Notes Math. 2180, 127--261 (2017; Zbl 1391.49052) Full Text: DOI
Guo, Bao-Zhu; Wu, Tao-Tao Numerical solution to optimal feedback control by dynamic programming approach: a local approximation algorithm. (English) Zbl 1380.49031 J. Syst. Sci. Complex. 30, No. 4, 782-802 (2017). MSC: 49L20 49M25 90C29 93C10 93C15 PDFBibTeX XMLCite \textit{B.-Z. Guo} and \textit{T.-T. Wu}, J. Syst. Sci. Complex. 30, No. 4, 782--802 (2017; Zbl 1380.49031) Full Text: DOI
Kang, Wei; Wilcox, Lucas C. Mitigating the curse of dimensionality: sparse grid characteristics method for optimal feedback control and HJB equations. (English) Zbl 1383.49045 Comput. Optim. Appl. 68, No. 2, 289-315 (2017). MSC: 49N35 PDFBibTeX XMLCite \textit{W. Kang} and \textit{L. C. Wilcox}, Comput. Optim. Appl. 68, No. 2, 289--315 (2017; Zbl 1383.49045) Full Text: DOI arXiv
Bongini, Mattia; Fornasier, Massimo; Rossi, Francesco; Solombrino, Francesco Mean-field Pontryagin maximum principle. (English) Zbl 1386.49003 J. Optim. Theory Appl. 175, No. 1, 1-38 (2017). MSC: 49J20 PDFBibTeX XMLCite \textit{M. Bongini} et al., J. Optim. Theory Appl. 175, No. 1, 1--38 (2017; Zbl 1386.49003) Full Text: DOI arXiv
Albi, Giacomo; Choi, Young-Pil; Fornasier, Massimo; Kalise, Dante Mean field control hierarchy. (English) Zbl 1378.49024 Appl. Math. Optim. 76, No. 1, 93-135 (2017). MSC: 49K45 60H15 68T42 49J55 93E20 49M25 PDFBibTeX XMLCite \textit{G. Albi} et al., Appl. Math. Optim. 76, No. 1, 93--135 (2017; Zbl 1378.49024) Full Text: DOI arXiv Link
Alla, A.; Falcone, M.; Volkwein, S. Error analysis for POD approximations of infinite horizon problems via the dynamic programming approach. (English) Zbl 1378.49025 SIAM J. Control Optim. 55, No. 5, 3091-3115 (2017). MSC: 49L20 90C39 35K20 49L25 49J20 65N99 49M25 PDFBibTeX XMLCite \textit{A. Alla} et al., SIAM J. Control Optim. 55, No. 5, 3091--3115 (2017; Zbl 1378.49025) Full Text: DOI arXiv
Cavagnari, Giulia; Marigonda, Antonio; Piccoli, Benedetto Optimal synchronization problem for a multi-agent system. (English) Zbl 1367.49002 Netw. Heterog. Media 12, No. 2, 277-295 (2017). MSC: 49J15 34A60 49L20 PDFBibTeX XMLCite \textit{G. Cavagnari} et al., Netw. Heterog. Media 12, No. 2, 277--295 (2017; Zbl 1367.49002) Full Text: DOI
Camilli, Fabio; Tozza, Silvia A unified approach to the well-posedness of some non-Lambertian models in shape-from-shading theory. (English) Zbl 1375.94018 SIAM J. Imaging Sci. 10, No. 1, 26-46 (2017). MSC: 94A08 35F21 49L25 68T45 68U10 PDFBibTeX XMLCite \textit{F. Camilli} and \textit{S. Tozza}, SIAM J. Imaging Sci. 10, No. 1, 26--46 (2017; Zbl 1375.94018) Full Text: DOI arXiv
Bongini, Mattia; Fornasier, Massimo; Hansen, Markus; Maggioni, Mauro Inferring interaction rules from observations of evolutive systems. I: The variational approach. (English) Zbl 1368.37017 Math. Models Methods Appl. Sci. 27, No. 5, 909-951 (2017). Reviewer: Denis Sidorov (Irkutsk) MSC: 37A60 93B30 49N45 49N30 68Q32 97M70 PDFBibTeX XMLCite \textit{M. Bongini} et al., Math. Models Methods Appl. Sci. 27, No. 5, 909--951 (2017; Zbl 1368.37017) Full Text: DOI arXiv
Herty, Michael; Zanella, Mattia Performance bounds for the mean-field limit of constrained dynamics. (English) Zbl 1366.35203 Discrete Contin. Dyn. Syst. 37, No. 4, 2023-2043 (2017). MSC: 35Q93 49N35 93B05 93B52 91A23 92D25 PDFBibTeX XMLCite \textit{M. Herty} and \textit{M. Zanella}, Discrete Contin. Dyn. Syst. 37, No. 4, 2023--2043 (2017; Zbl 1366.35203) Full Text: DOI arXiv
Bongini, Mattia; Buttazzo, Giuseppe Optimal control problems in transport dynamics. (English) Zbl 1365.49004 Math. Models Methods Appl. Sci. 27, No. 3, 427-451 (2017). MSC: 49J20 49J45 60K30 92D25 93A14 68T42 PDFBibTeX XMLCite \textit{M. Bongini} and \textit{G. Buttazzo}, Math. Models Methods Appl. Sci. 27, No. 3, 427--451 (2017; Zbl 1365.49004) Full Text: DOI arXiv
Achdou, Yves; Bardi, Martino; Cirant, Marco Mean field games models of segregation. (English) Zbl 1355.91003 Math. Models Methods Appl. Sci. 27, No. 1, 75-113 (2017). MSC: 91A07 49N70 35K55 91A40 91D10 PDFBibTeX XMLCite \textit{Y. Achdou} et al., Math. Models Methods Appl. Sci. 27, No. 1, 75--113 (2017; Zbl 1355.91003) Full Text: DOI arXiv
Tcheng, Alexandra; Nave, Jean-Christophe A low complexity algorithm for non-monotonically evolving fronts. (English) Zbl 1371.65087 J. Sci. Comput. 69, No. 3, 1165-1191 (2016). MSC: 65M06 65M12 35F21 65M15 49L25 65Y20 PDFBibTeX XMLCite \textit{A. Tcheng} and \textit{J.-C. Nave}, J. Sci. Comput. 69, No. 3, 1165--1191 (2016; Zbl 1371.65087) Full Text: DOI arXiv
Sahu, Smita High-order filtered scheme for front propagation problems. (English) Zbl 1356.65215 Bull. Braz. Math. Soc. (N.S.) 47, No. 2, 727-744 (2016). MSC: 65M06 35F21 65M12 65M15 49L25 PDFBibTeX XMLCite \textit{S. Sahu}, Bull. Braz. Math. Soc. (N.S.) 47, No. 2, 727--744 (2016; Zbl 1356.65215) Full Text: DOI
Bardi, Martino; Maldonado López, Juan Pablo A Dijkstra-type algorithm for dynamic games. (English) Zbl 1348.91060 Dyn. Games Appl. 6, No. 3, 263-276 (2016). MSC: 91A25 91A05 49N70 49N75 91A23 91A55 90C35 PDFBibTeX XMLCite \textit{M. Bardi} and \textit{J. P. Maldonado López}, Dyn. Games Appl. 6, No. 3, 263--276 (2016; Zbl 1348.91060) Full Text: DOI HAL
Shum, Alex; Morris, Kirsten; Khajepour, Amir Convergence rate for the ordered upwind method. (English) Zbl 1354.65139 J. Sci. Comput. 68, No. 3, 889-913 (2016). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65K10 49J20 49L25 49M25 PDFBibTeX XMLCite \textit{A. Shum} et al., J. Sci. Comput. 68, No. 3, 889--913 (2016; Zbl 1354.65139) Full Text: DOI arXiv
Cicalese, M.; De Luca, L.; Novaga, M.; Ponsiglione, M. Ground states of a two phase model with cross and self attractive interactions. (English) Zbl 1352.49009 SIAM J. Math. Anal. 48, No. 5, 3412-3443 (2016). Reviewer: Alain Brillard (Riedisheim) MSC: 49J45 49Q10 49K10 82B24 70G75 PDFBibTeX XMLCite \textit{M. Cicalese} et al., SIAM J. Math. Anal. 48, No. 5, 3412--3443 (2016; Zbl 1352.49009) Full Text: DOI arXiv
Festa, Adriano Reconstruction of independent sub-domains for a class of Hamilton-Jacobi equations and application to parallel computing. (English) Zbl 1347.49044 ESAIM, Math. Model. Numer. Anal. 50, No. 4, 1223-1240 (2016). MSC: 49L99 49L25 49M27 65N55 PDFBibTeX XMLCite \textit{A. Festa}, ESAIM, Math. Model. Numer. Anal. 50, No. 4, 1223--1240 (2016; Zbl 1347.49044) Full Text: DOI arXiv
Albi, Giacomo; Bongini, Mattia; Cristiani, Emiliano; Kalise, Dante Invisible control of self-organizing agents leaving unknown environments. (English) Zbl 1415.91230 SIAM J. Appl. Math. 76, No. 4, 1683-1710 (2016). MSC: 91C15 49K15 34H05 PDFBibTeX XMLCite \textit{G. Albi} et al., SIAM J. Appl. Math. 76, No. 4, 1683--1710 (2016; Zbl 1415.91230) Full Text: DOI arXiv
Di Marino, Simone; Mészáros, Alpár Richárd Uniqueness issues for evolution equations with density constraints. (English) Zbl 1347.35009 Math. Models Methods Appl. Sci. 26, No. 9, 1761-1783 (2016). MSC: 35A02 35K61 35F25 49J45 35Q84 PDFBibTeX XMLCite \textit{S. Di Marino} and \textit{A. R. Mészáros}, Math. Models Methods Appl. Sci. 26, No. 9, 1761--1783 (2016; Zbl 1347.35009) Full Text: DOI arXiv
Festa, Adriano; Vinter, Richard B. Decomposition of differential games with multiple targets. (English) Zbl 1342.49058 J. Optim. Theory Appl. 169, No. 3, 848-875 (2016). MSC: 49N70 49N75 49L25 49M27 91A23 91A24 35D40 PDFBibTeX XMLCite \textit{A. Festa} and \textit{R. B. Vinter}, J. Optim. Theory Appl. 169, No. 3, 848--875 (2016; Zbl 1342.49058) Full Text: DOI arXiv Link
Kalise, Dante; Kröner, Axel; Kunisch, Karl Local minimization algorithms for dynamic programming equations. (English) Zbl 1339.65084 SIAM J. Sci. Comput. 38, No. 3, A1587-A1615 (2016). MSC: 65K10 49J20 49M15 49L20 35F21 PDFBibTeX XMLCite \textit{D. Kalise} et al., SIAM J. Sci. Comput. 38, No. 3, A1587--A1615 (2016; Zbl 1339.65084) Full Text: DOI arXiv
Cacace, Simone; Falcone, Maurizio A dynamic domain decomposition for the eikonal-diffusion equation. (English) Zbl 1404.65153 Discrete Contin. Dyn. Syst., Ser. S 9, No. 1, 109-123 (2016). MSC: 65M55 49L20 35F21 49J20 93E20 PDFBibTeX XMLCite \textit{S. Cacace} and \textit{M. Falcone}, Discrete Contin. Dyn. Syst., Ser. S 9, No. 1, 109--123 (2016; Zbl 1404.65153) Full Text: DOI
Piccoli, Benedetto; Duteil, Nastassia Pouradier; Scharf, Benjamin Optimal control of a collective migration model. (English) Zbl 1342.92308 Math. Models Methods Appl. Sci. 26, No. 2, 383-417 (2016). MSC: 92D50 49N90 PDFBibTeX XMLCite \textit{B. Piccoli} et al., Math. Models Methods Appl. Sci. 26, No. 2, 383--417 (2016; Zbl 1342.92308) Full Text: DOI arXiv
Ju, Yong Chul; Bruhn, Andrés; Breuß, Michael Variational perspective shape from shading. (English) Zbl 1444.68261 Aujol, Jean-François (ed.) et al., Scale space and variational methods in computer vision. 5th international conference, SSVM 2015, Lège-Cap Ferret, France, May 31 – June 4, 2015. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9087, 538-550 (2015). MSC: 68T45 49M05 49N90 PDFBibTeX XMLCite \textit{Y. C. Ju} et al., Lect. Notes Comput. Sci. 9087, 538--550 (2015; Zbl 1444.68261) Full Text: DOI
Piccoli, Benedetto; Leibowitz, Emily; Caponigro, Marco; Bravo, Mary J. Keep right or left? Towards a cognitive-mathematical model for pedestrians. (English) Zbl 1334.91068 Netw. Heterog. Media 10, No. 3, 559-578 (2015). MSC: 91E99 49J15 90B20 PDFBibTeX XMLCite \textit{B. Piccoli} et al., Netw. Heterog. Media 10, No. 3, 559--578 (2015; Zbl 1334.91068) Full Text: DOI
Cristiani, Emiliano; Priuli, Fabio S. A destination-preserving model for simulating Wardrop equilibria in traffic flow on networks. (English) Zbl 1327.90042 Netw. Heterog. Media 10, No. 4, 857-876 (2015). MSC: 90B20 49N90 91A40 35L65 PDFBibTeX XMLCite \textit{E. Cristiani} and \textit{F. S. Priuli}, Netw. Heterog. Media 10, No. 4, 857--876 (2015; Zbl 1327.90042) Full Text: DOI arXiv
Cristiani, Emiliano; Priuli, Fabio S.; Tosin, Andrea Modeling rationality to control self-organization of crowds: an environmental approach. (English) Zbl 1316.35189 SIAM J. Appl. Math. 75, No. 2, 605-629 (2015). MSC: 35L65 49N90 49Q10 91D10 PDFBibTeX XMLCite \textit{E. Cristiani} et al., SIAM J. Appl. Math. 75, No. 2, 605--629 (2015; Zbl 1316.35189) Full Text: DOI arXiv
Kröner, Axel; Kunisch, Karl; Zidani, Hasnaa Optimal feedback control for undamped wave equations by solving a HJB equation. (English) Zbl 1318.49069 ESAIM, Control Optim. Calc. Var. 21, No. 2, 442-464 (2015). Reviewer: Wiesław Kotarski (Sosnowiec) MSC: 49N35 93B52 49J20 35L05 49L20 49M25 49J15 PDFBibTeX XMLCite \textit{A. Kröner} et al., ESAIM, Control Optim. Calc. Var. 21, No. 2, 442--464 (2015; Zbl 1318.49069) Full Text: DOI