Gong, Wei; Liang, Dongdong Analysis and approximation to parabolic optimal control problems with measure-valued controls in time. (English) Zbl 07968243 ESAIM, Control Optim. Calc. Var. 31, Paper No. 2, 34 p. (2025). MSC: 65M60 65M06 65N30 65M12 49M41 35B45 35R06 35A01 35A02 35K10 93C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Knopf, M.; Hoepner, R. Peña; Schmidt, M. U. Solutions of the sinh-Gordon equation of spectral genus two and constrained Willmore tori. I. (English) Zbl 07961123 J. Geom. Anal. 35, No. 1, Paper No. 29, 28 p. (2025). MSC: 37K10 53C42 53C43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cheng, Qing; Guo, Jing; Wang, Dong Computing optimal partition problems via Lagrange multiplier approach. (English) Zbl 07960911 J. Sci. Comput. 102, No. 1, Paper No. 22, 28 p. (2025). MSC: 65M06 65M22 65K10 65H10 05C45 35R09 35B09 49M41 49Q10 35J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Huanhuan; Ding, Meiling; Luo, Xianbing; Xiang, Shuwen Convergence analysis of finite element approximations for a nonlinear second order hyperbolic optimal control problems. (English) Zbl 07927810 Netw. Heterog. Media 19, No. 2, 842-866 (2024). MSC: 65M60 65M06 65N30 65M12 65M15 49M41 35R09 35L10 93C20 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Xin; Zhang, Luming Conformal structure-preserving SVM methods for the nonlinear Schrödinger equation with weakly linear damping term. (English) Zbl 1546.65086 Appl. Numer. Math. 205, 120-136 (2024). MSC: 65M70 65L06 65N35 65K10 49M41 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Yin, Yuhui; Kou, Chenhui; Jia, Shengkun; Lu, Lu; Yuan, Xigang; Luo, Yiqing PCDMD: physics-constrained dynamic mode decomposition for accurate and robust forecasting of dynamical systems with imperfect data and physics. (English) Zbl 07901349 Comput. Phys. Commun. 304, Article ID 109303, 13 p. (2024). MSC: 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abdullayev, Vagif M.; Hashimov, Vugar A. Control of loaded points of a parabolic equation. (English) Zbl 1541.49014 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 50, No. 1, 21-38 (2024). MSC: 49M05 49M41 × Cite Format Result Cite Review PDF Full Text: DOI
Samadi, Fereshteh; Heydari, Aghileh; Effati, Sohrab Numerical solutions of two-dimensional PDE-constrained optimal control problems via bilinear pseudo-spectral method. (English) Zbl 1537.49031 Math. Sci., Springer 18, No. 1, 107-123 (2024). MSC: 49M41 65K10 49J20 49J15 × Cite Format Result Cite Review PDF Full Text: DOI
Borluk, Handan; Muslu, Gulcin M.; Natali, Fábio Stability of periodic waves for the defocusing fractional cubic nonlinear Schrödinger equation. (English) Zbl 1536.35045 Commun. Nonlinear Sci. Numer. Simul. 133, Article ID 107953, 14 p. (2024). MSC: 35B35 35B10 35Q55 35R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Antoine, Xavier; Gaidamour, Jérémie; Lorin, Emmanuel Normalized fractional gradient flow for nonlinear Schrödinger/Gross-Pitaevskii equations. (English) Zbl 1532.65045 Commun. Nonlinear Sci. Numer. Simul. 129, Article ID 107660, 18 p. (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M06 65N35 65M12 65N06 65F10 49M41 35Q55 35Q41 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Baranovskii, Evgenii S.; Brizitskii, Roman V.; Saritskaia, Zhanna Yu. Optimal control problems for the reaction-diffusion-convection equation with variable coefficients. (English) Zbl 1528.35112 Nonlinear Anal., Real World Appl. 75, Article ID 103979, 26 p. (2024). MSC: 35Q35 76R50 76V05 49M41 49J20 49K20 93B52 35D30 35D35 35B65 35B50 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Abd-Elmonem, Assmaa; Banerjee, Ramashis; Ahmad, Shabir; Jamshed, Wasim; Nisar, Kottakkaran Sooppy; Eid, Mohamed R.; Ibrahim, Rabha W.; El Din, Sayed M. A comprehensive review on fractional-order optimal control problem and its solution. (English) Zbl 1548.49025 Open Math. 21, Article ID 20230105, 35 p. (2023). MSC: 49J99 34A08 35R11 35G15 49M41 × Cite Format Result Cite Review PDF Full Text: DOI
Leguizamon-Robayo, Alexander; Jiménez-Pastor, Antonio; Tribastone, Micro; Tschaikowski, Max; Vandin, Andrea Approximate constrained lumping of polynomial differential equations. (English) Zbl 1533.92080 Pang, Jun (ed.) et al., Computational methods in systems biology. 21st international conference, CMSB 2023, Luxembourg City, Luxembourg, September 13–15, 2023. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 14137, 106-123 (2023). MSC: 92C42 34C60 × Cite Format Result Cite Review PDF Full Text: DOI
Zheng, Xiangcheng; Yang, Zhiwei; Li, Wuchen; Wang, Hong A time-fractional mean-field control modeling subdiffusive advective transport. (English) Zbl 1529.35425 SIAM J. Sci. Comput. 45, No. 6, B884-B905 (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q49 76S05 74L10 49N80 49J20 49M41 35F21 35B36 65M60 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Lin, Xiuxiu; Chen, Yanping; Huang, Yunqing Spectral approximation for optimal control problems governed by first bi-harmonic equation. (English) Zbl 1535.65294 Numer. Methods Partial Differ. Equations 39, No. 4, 2808-2822 (2023). MSC: 65N35 65N30 65N12 65N15 31A30 49K20 49M41 93C20 35Q93 × Cite Format Result Cite Review PDF Full Text: DOI
Langer, Ulrich; Löscher, Richard; Steinbach, Olaf; Yang, Huidong Robust finite element discretization and solvers for distributed elliptic optimal control problems. (English) Zbl 1544.65206 Comput. Methods Appl. Math. 23, No. 4, 989-1005 (2023). Reviewer: Dana Černá (Liberec) MSC: 65N30 65M15 65N22 65F08 65F10 65Y05 49J20 49M05 49M41 35J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Hyun Jong; Moon, Jun A sufficient condition for optimal control problem of fully coupled forward-backward stochastic systems with jumps: a state-constrained control approach. (English) Zbl 1531.93450 Optim. Control Appl. Methods 44, No. 4, 1936-1971 (2023). MSC: 93E20 60H30 45K05 49L12 49L25 × Cite Format Result Cite Review PDF Full Text: DOI
Chrysafinos, Konstantinos; Plaka, Dimitra Analysis and approximations of an optimal control problem for the Allen-Cahn equation. (English) Zbl 1541.65092 Numer. Math. 155, No. 1-2, 35-82 (2023). MSC: 65M60 65M15 49J20 49K20 35K55 49M41 49M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ebrahimzadeh, Asiyeh; Beik, Samaneh Panjeh Ali Robust bivariate polynomials scheme with convergence analysis for two-dimensional nonlinear optimal control problem. (English) Zbl 1522.65182 Math. Sci., Springer 17, No. 3, 325-335 (2023); correction ibid. 17, No. 4, 539 (2023). MSC: 65M70 45G05 49M37 49M41 93C23 × Cite Format Result Cite Review PDF Full Text: DOI
Guth, Philipp A.; Van Barel, Andreas Multilevel quasi-Monte Carlo for optimization under uncertainty. (English) Zbl 1521.65007 Numer. Math. 154, No. 3-4, 443-484 (2023). MSC: 65C05 65C30 65N21 65K99 49M41 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dong, Shi-Hai; Sun, Guo-Hua Exact solutions of the Schrödinger equation with a complex periodic potential. (English) Zbl 1530.81064 J. Math. Chem. 61, No. 8, 1684-1695 (2023). MSC: 81Q05 35Q41 47A10 14M12 35P15 70H45 22E70 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Min; Nie, Tianyang; Wu, Zhen Linear-quadratic large-population problem with partial information: Hamiltonian approach and Riccati approach. (English) Zbl 1515.60202 SIAM J. Control Optim. 61, No. 4, 2114-2139 (2023). MSC: 60H10 93E20 91A15 49N10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Zhengfang; Gao, Xiangjing; Cheng, Xiaoliang Numerical estimation of the inverse eigenvalue problem for a weighted Helmholtz equation. (English) Zbl 1545.65417 J. Sci. Comput. 96, No. 1, Paper No. 16, 31 p. (2023). MSC: 65N25 65N21 65N30 65K10 65F10 65N12 35J05 35R09 49J50 49M41 49J35 35A01 35A02 35R30 × Cite Format Result Cite Review PDF Full Text: DOI
Basir, Shamsulhaq Investigating and mitigating failure modes in physics-informed neural networks (PINNs). (English) Zbl 1514.65146 Commun. Comput. Phys. 33, No. 5, 1240-1269 (2023). MSC: 65M99 35E05 35E15 68T07 90C30 90C47 90C90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dhif, R.; Meftahi, H.; Rjaibi, B. Optimal shape design for a time-dependent Brinkman flow using asymptotic analysis techniques. (English) Zbl 1530.35214 Asymptotic Anal. 132, No. 1-2, 261-284 (2023). MSC: 35Q35 35R30 76S05 49Q10 49K20 49K40 49M41 35B40 35A01 65M32 65M60 76M21 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Hashemi, Masoumeh; Herzog, Roland; Surowiec, Thomas M. Optimal control of the stationary Kirchhoff equation. (English) Zbl 1519.49004 Comput. Optim. Appl. 85, No. 2, 479-508 (2023). MSC: 49J20 49K20 49M15 35J62 47J05 65L60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Peralta, Gilbert Optimal Borel measure-valued controls to the viscous Cahn-Hilliard-Oberbeck-Boussinesq phase-field system on two-dimensional bounded domains. (English) Zbl 1514.35446 ESAIM, Control Optim. Calc. Var. 29, Paper No. 32, 43 p. (2023). MSC: 35Q93 35Q35 49K20 49M41 76D55 76T06 35B65 35B45 35K35 35K58 35R06 × Cite Format Result Cite Review PDF Full Text: DOI
Souaiby, Marianne; Tanwani, Aneel; Henrion, Didier Ensemble approximations for constrained dynamical systems using Liouville equation. (English) Zbl 1507.93111 Automatica 149, Article ID 110836, 13 p. (2023). MSC: 93C20 35B53 × Cite Format Result Cite Review PDF Full Text: DOI
Gudi, Thirupathi; Sau, Ramesh Ch. A two level finite element method for Stokes constrained Dirichlet boundary control problem. (English) Zbl 1524.65806 Comput. Math. Appl. 129, 126-135 (2023). MSC: 65N30 49J20 74S05 65K10 35Q35 49M41 76D07 65N15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Ye, Wenxing; Tan, Matthias Hwai Yong Multi-fidelity Gaussian process modeling with boundary information. (English) Zbl 07888914 Appl. Stoch. Models Bus. Ind. 38, No. 2, 216-239 (2022). MSC: 62-XX × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Fangyuan; Zhou, Zhaojie Spectral Galerkin method for state constrained optimal control of fractional advection-diffusion-reaction equations. (English) Zbl 1533.65241 Numer. Methods Partial Differ. Equations 38, No. 5, 1526-1542 (2022). MSC: 65N35 65N30 49M41 35B45 33C45 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Seidl, D. Thomas; Granzow, Brian N. Calibration of elastoplastic constitutive model parameters from full-field data with automatic differentiation-based sensitivities. (English) Zbl 1530.74013 Int. J. Numer. Methods Eng. 123, No. 1, 69-100 (2022). MSC: 74C15 74S05 74P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Qais, Imrul; Pal, Debasattam The continuous-time singular LQR problem and the riddle of nonautonomous Hamiltonian systems: a behavioral solution. (English) Zbl 1537.93346 IEEE Trans. Autom. Control 67, No. 9, 4770-4777 (2022). MSC: 93C20 93C15 49N10 × Cite Format Result Cite Review PDF Full Text: DOI
Körner, Jacob; Borzì, Alfio Second-order analysis of Fokker-Planck ensemble optimal control problems. (English) Zbl 1505.35336 ESAIM, Control Optim. Calc. Var. 28, Paper No. 77, 30 p. (2022). MSC: 35Q84 35Q93 49J20 49K20 49M41 93C20 35B65 35A01 35A02 35R60 × Cite Format Result Cite Review PDF Full Text: DOI
Lamy, Xavier; Lorent, Andrew; Peng, Guanying On a generalized Aviles-Giga functional: compactness, zero-energy states, regularity estimates and energy bounds. (English) Zbl 1506.35166 Commun. Partial Differ. Equations 47, No. 11, 2270-2308 (2022). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q35 76A15 76A20 35R09 35B65 49M41 35R10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Franzina, Giovanni; Licheri, Danilo A non-local semilinear eigenvalue problem. (English) Zbl 1503.35120 Fract. Calc. Appl. Anal. 25, No. 6, 2193-2221 (2022). MSC: 35P30 35R11 26A33 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Budd, J. M.; Van Gennip, Y. Mass-conserving diffusion-based dynamics on graphs. (English) Zbl 1509.34029 Eur. J. Appl. Math. 33, No. 3, 423-471 (2022). MSC: 34B45 35R02 90C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blank, Luise; Meisinger, Johannes Optimal control of anisotropic Allen-Cahn equations. (English) Zbl 1504.35030 ESAIM, Control Optim. Calc. Var. 28, Paper No. 71, 23 p. (2022). MSC: 35B25 35K59 35Q93 49K20 49M41 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Tao; Li, Binjie; Xie, Xiaoping Discontinuous Galerkin method for a distributed optimal control problem governed by a time fractional diffusion equation. (English) Zbl 1504.65216 Comput. Math. Appl. 128, 1-11 (2022). MSC: 65M60 35R11 49M41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazari, Idriss; Ruiz-Balet, Domènec Spatial ecology, optimal control and game theoretical fishing problems. (English) Zbl 1501.35414 J. Math. Biol. 85, No. 5, Paper No. 55, 61 p. (2022). MSC: 35Q92 92D40 92D25 91A05 91A80 91B76 49J99 49N90 49M41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Butt, M. M. Numerical solution to 3D bilinear Fokker-Planck control problem. (English) Zbl 1513.65194 Int. J. Comput. Math. 99, No. 12, 2466-2481 (2022). MSC: 65K10 35Q84 35Q93 49K20 49M20 49M41 65N06 × Cite Format Result Cite Review PDF Full Text: DOI
Blank, Luise; Meisinger, Johannes Optimal control of a quasilinear parabolic equation and its time discretization. (English) Zbl 1497.35305 Appl. Math. Optim. 86, No. 3, Paper No. 34, 19 p. (2022). MSC: 35K59 35K20 49J20 49M41 65M12 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Biccari, Umberto; Warma, Mahamadi; Zuazua, Enrique Control and numerical approximation of fractional diffusion equations. (English) Zbl 1496.65155 Trélat, Emmanuel (ed.) et al., Numerical control. Part A. Amsterdam: Elsevier/North Holland. Handb. Numer. Anal. 23, 1-58 (2022). MSC: 65M60 90C15 49M25 35K05 35R11 26A33 35S05 49M29 49M41 93B05 65M15 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Moon, Jun Stochastic optimal control in infinite dimensions with state constraints. (English) Zbl 1497.93244 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 223, Article ID 113050, 27 p. (2022). MSC: 93E20 93C25 35R15 49L25 × Cite Format Result Cite Review PDF Full Text: DOI
Benner, Peter; Stillfjord, Tony; Trautwein, Christoph A linear implicit Euler method for the finite element discretization of a controlled stochastic heat equation. (English) Zbl 1503.65219 IMA J. Numer. Anal. 42, No. 3, 2118-2150 (2022). Reviewer: Sebastian Franz (Dresden) MSC: 65M60 65M06 65N30 65M12 35K05 80A19 60H50 49M41 35Q79 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Treanţă, Savin Lagrange-Hamilton approach in optimization problems with isoperimetric-type constraints. (English) Zbl 1500.49018 J. Optim. Theory Appl. 194, No. 2, 508-520 (2022). Reviewer: Costică Moroşanu (Iaşi) MSC: 49M41 65K10 90C46 × Cite Format Result Cite Review PDF Full Text: DOI
Oster, Mathias; Sallandt, Leon; Schneider, Reinhold Approximating optimal feedback controllers of finite horizon control problems using hierarchical tensor formats. (English) Zbl 1491.49021 SIAM J. Sci. Comput. 44, No. 3, B746-B770 (2022). MSC: 49N35 49K15 15A69 49M41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
An, Xin; Majee, Ananta K.; Prohl, Andreas; Tran, Thanh Optimal control for a coupled spin-polarized current and magnetization system. (English) Zbl 1493.35112 Adv. Comput. Math. 48, No. 3, Paper No. 28, 40 p. (2022). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q60 78M30 78M20 82D40 35A15 35A01 35R09 45K05 49J20 49K20 49M41 93B05 65M60 65M06 65N30 65H10 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Mengyue; Ai, Wenbao; Yuan, Jianhua; Tian, Hui A symmetric inertial alternating direction method of multipliers for elliptic equation constrained optimization problem. (English) Zbl 1499.49091 Adv. Appl. Math. Mech. 14, No. 3, 596-621 (2022). MSC: 49M41 49J20 49M37 65K10 90C25 × Cite Format Result Cite Review PDF Full Text: DOI
Elliott, Robert; Qiu, Jinniao; Wei, Wenning Neumann problem for backward SPDEs with singular terminal conditions and application in constrained stochastic control under target zone. (English) Zbl 1489.93134 Stochastic Processes Appl. 148, 68-97 (2022). MSC: 93E20 60H15 91G80 × Cite Format Result Cite Review PDF Full Text: DOI
Münch, Arnaud; Trélat, Emmanuel Constructive exact control of semilinear 1D wave equations by a least-squares approach. (English) Zbl 1485.93074 SIAM J. Control Optim. 60, No. 2, 652-673 (2022). Reviewer: Piotr Biler (Wrocław) MSC: 93B05 35Q30 49M41 93C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Souza, J. M. R.; Miyaoka, T. Y.; Kunz, C. F. D.; Meyer, J. F. C. A. COVID-19 modeling and parameter estimation for Brazil and Portugal: how predictable is the future? (English) Zbl 1530.92272 Trends Comput. Appl. Math. 22, No. 4, 575-594 (2021). MSC: 92D30 34C60 × Cite Format Result Cite Review PDF Full Text: DOI
Le Son, Hai; Kang, Shinseong; Pham, Triet Minh; Lee, Kyunghoon Novel geometric parameterization scheme for the certified reduced basis analysis of a square unit cell. (English) Zbl 1501.65121 J. Korean Soc. Ind. Appl. Math. 25, No. 4, 196-220 (2021). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 65N15 49M41 × Cite Format Result Cite Review PDF Full Text: DOI
Peralta, Gilbert Distributed optimal control of the 2D Cahn-Hilliard-Oberbeck-Boussinesq system for nonisothermal viscous two-phase flows. (English) Zbl 1507.35196 Appl. Math. Optim. 84, Suppl. 2, 1219-1279 (2021). MSC: 35Q35 35Q93 76T06 76D55 76D05 35B65 35D30 35K05 49K20 49M41 93C20 × Cite Format Result Cite Review PDF Full Text: DOI
Munir Butt, Muhammad Two-level method for a time-independent Fokker-Planck control problem. (English) Zbl 1479.35862 Int. J. Comput. Math. 98, No. 8, 1542-1560 (2021). MSC: 35Q84 35Q93 49K20 65N55 × Cite Format Result Cite Review PDF Full Text: DOI
Tao, Zhen-Zhen; Sun, Bing A feedback design for numerical solution to optimal control problems based on Hamilton-Jacobi-Bellman equation. (English) Zbl 1478.49026 Electron. Res. Arch. 29, No. 5, 3429-3447 (2021). MSC: 49L25 49M41 49N35 65D05 35F21 35D40 × Cite Format Result Cite Review PDF Full Text: DOI
Brasco, Lorenzo; De Philippis, Guido; Franzina, Giovanni Positive solutions to the sublinear Lane-Emden equation are isolated. (English) Zbl 1482.35150 Commun. Partial Differ. Equations 46, No. 10, 1940-1972 (2021). Reviewer: Vladimir Bobkov (Ufa) MSC: 35P30 35B38 35J25 35J61 35R09 49R05 58E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pablos, Blanca; Gerdts, Matthias Substructure exploitation of a nonsmooth Newton method for large-scale optimal control problems with full discretization. (English) Zbl 1540.49031 Math. Comput. Simul. 190, 641-658 (2021). MSC: 49M15 49J15 49M05 49M41 65L60 65M70 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Lijuan; Yan, Qishu; Yu, Huaiqiang Constrained approximate null controllability of the coupled heat equation with impulse controls. (English) Zbl 1479.35522 SIAM J. Control Optim. 59, No. 5, 3418-3446 (2021). Reviewer: Vyacheslav I. Maksimov (Yekaterinburg) MSC: 35K51 93B05 93C20 35K90 47D06 35R12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bandini, Elena; Thieullen, Michèle Optimal control of infinite-dimensional piecewise deterministic Markov processes: a BSDE approach. Application to the control of an excitable cell membrane. (English) Zbl 1482.93698 Appl. Math. Optim. 84, No. 2, 1549-1603 (2021). Reviewer: Alex V. Kolnogorov (Novgorod) MSC: 93E20 93C25 60H15 60J25 92C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Manna, Utpal; Ashirbad Panda, Akash Well-posedness and large deviations for 2D stochastic constrained Navier-Stokes equations driven by Lévy noise in the Marcus canonical form. (English) Zbl 1479.60134 J. Differ. Equations 302, 64-138 (2021). Reviewer: Isamu Dôku (Saitama) MSC: 60H15 60F10 60J65 76B03 76D05 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Estévez Schwarz, Diana; Lamour, René Projected explicit and implicit Taylor series methods for DAEs. (English) Zbl 1487.65109 Numer. Algorithms 88, No. 2, 615-646 (2021). MSC: 65L80 34A09 65K10 × Cite Format Result Cite Review PDF Full Text: DOI
Komaee, Arash An inverse optimal approach to design of feedback control: exploring analytical solutions for the Hamilton-Jacobi-Bellman equation. (English) Zbl 1468.49038 Optim. Control Appl. Methods 42, No. 2, 469-485 (2021). MSC: 49N35 49N45 35F21 93D21 49L25 × Cite Format Result Cite Review PDF Full Text: DOI
Song, Chuanjing; Agrawal, Om Prakash Hamiltonian formulation of systems described using fractional singular Lagrangian. (English) Zbl 1475.37060 Acta Appl. Math. 172, Paper No. 9, 16 p. (2021). MSC: 37J06 70H45 34A08 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Kovtanyuk, Andrey; Chebotarev, Alexander; Astrakhantseva, Alena Inverse extremum problem for a model of endovenous laser ablation. (English) Zbl 1473.35564 J. Inverse Ill-Posed Probl. 29, No. 3, 467-476 (2021). MSC: 35Q79 49J20 49M41 80A21 80A19 80M50 35K05 35R30 92C99 65M32 65M60 65K10 × Cite Format Result Cite Review PDF Full Text: DOI
Christof, Constantin; Vexler, Boris New regularity results and finite element error estimates for a class of parabolic optimal control problems with pointwise state constraints. (English) Zbl 1473.35609 ESAIM, Control Optim. Calc. Var. 27, Paper No. 4, 39 p. (2021). MSC: 35Q93 35K10 35B65 49K20 49M41 65M60 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Bottois, Arthur; Cîndea, Nicolae; Münch, Arnaud Optimization of non-cylindrical domains for the exact null controllability of the 1D wave equation. (English) Zbl 1467.49031 ESAIM, Control Optim. Calc. Var. 27, Paper No. 13, 32 p. (2021). MSC: 49Q10 93C20 49M41 × Cite Format Result Cite Review PDF Full Text: DOI
Ali, Zulfiqar; Ma, Weiyin Isogeometric collocation method with intuitive derivative constraints for PDE-based analysis-suitable parameterizations. (English) Zbl 1477.65253 Comput. Aided Geom. Des. 87, Article ID 101994, 18 p. (2021). MSC: 65N35 65D07 65D17 49M41 × Cite Format Result Cite Review PDF Full Text: DOI
Eason, John P.; Biegler, Lorenz T. Model reduction in chemical process optimization. (English) Zbl 1471.35281 Benner, Peter (ed.) et al., Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 1-31 (2021). MSC: 35Q93 35-02 93A15 93C05 49M41 49M37 80A25 76V05 35B30 37M99 41A05 65K10 65M99 65F20 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Qin; Li, Binjie Temporally semidiscrete approximation of a Dirichlet boundary control for a fractional/normal evolution equation with a final observation. (English) Zbl 1466.49030 J. Sci. Comput. 88, No. 1, Paper No. 5, 28 p. (2021). MSC: 49M41 49M25 35R11 65K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Muthukumar, Ramchandran; Kouri, Drew P.; Udell, Madeleine Randomized sketching algorithms for low-memory dynamic optimization. (English) Zbl 1469.90153 SIAM J. Optim. 31, No. 2, 1242-1275 (2021). MSC: 90C39 68W20 90C30 93C20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Li, Binjie; Zhou, Qin Discretization of a distributed optimal control problem with a stochastic parabolic equation driven by multiplicative noise. (English) Zbl 1479.60132 J. Sci. Comput. 87, No. 3, Paper No. 68, 37 p. (2021). Reviewer: Martin Gugat (Erlangen) MSC: 60H15 93E20 49M41 49J55 65M12 49K20 49K45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baňas, Ľubomír; Ferrari, Giorgio; Randrianasolo, Tsiry A. Numerical approximation of the value of a stochastic differential game with asymmetric information. (English) Zbl 1467.65066 SIAM J. Control Optim. 59, No. 2, 1109-1135 (2021). MSC: 65K15 65C20 49N70 49L25 35F21 52A27 52B55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lopushansky, Andriy; Lopushansky, Oleh; Sharyn, Sergii Nonlinear inverse problem of control diffusivity parameter determination for a space-time fractional diffusion equation. (English) Zbl 1474.49082 Appl. Math. Comput. 390, Article ID 125589, 9 p. (2021). MSC: 49N45 35C05 35R11 35R30 49M41 × Cite Format Result Cite Review PDF Full Text: DOI
Leblond, Juliette; Pozzi, Elodie Solutions to inverse moment estimation problems in dimension 2, using best constrained approximation. (English) Zbl 1477.65091 J. Approx. Theory 264, Article ID 105520, 24 p. (2021). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 65J22 35Q60 44A15 47N10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Estévez Schwarz, Diana; Lamour, René InitDAE: computation of consistent values, index determination and diagnosis of singularities of DAEs using automatic differentiation in Python. (English) Zbl 1458.65163 J. Comput. Appl. Math. 387, Article ID 112486, 15 p. (2021). MSC: 65L80 34A09 65D25 65-04 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Fangyuan; Zhang, Zhongqiang; Zhou, Zhaojie A spectral Galerkin approximation of optimal control problem governed by fractional advection-diffusion-reaction equations. (English) Zbl 1456.49026 J. Comput. Appl. Math. 386, Article ID 113233, 17 p. (2021). MSC: 49M41 49M25 49K20 49N60 65K10 35R11 35K57 × Cite Format Result Cite Review PDF Full Text: DOI
Maia, L. A.; Raom, D.; Ruviaro, R.; Sobral, Y. D. Mini-max algorithm via Pohozaev manifold. (English) Zbl 1459.35114 Nonlinearity 34, No. 1, 642-668 (2021). MSC: 35J20 35J91 65N99 65N22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sun, Qi; Du, Qiang A distributed optimal control problem with averaged stochastic gradient descent. (English) Zbl 1518.65135 Commun. Comput. Phys. 27, No. 3, 753-774 (2020). MSC: 65N30 65D05 65K10 49J20 49M41 35J05 35R60 × Cite Format Result Cite Review PDF Full Text: DOI
Wolfmayr, Monika Optimal heating of an indoor swimming pool. (English) Zbl 1473.80008 Lindner, Ewald (ed.) et al., Mathematical modelling in real life problems. Case studies from ECMI-modelling weeks. Cham: Springer. Math. Ind. 33, 87-101 (2020). MSC: 80A19 80A21 80M50 80M10 80M20 49M41 65M60 65M06 65N30 35R09 35Q79 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Campos, José Renato; Assunção, Edvaldo; Silva, Geraldo Nunes; Lodwick, Weldon Alexander; Carvalho Minhoto Teixeira, Marcelo; Maqui-Huamán, Gino Gustavo Fuzzy interval optimal control problem. (English) Zbl 1465.93118 Fuzzy Sets Syst. 385, 169-181 (2020). MSC: 93C42 49K21 49L20 90C39 90C70 93C55 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Zhaojie; Song, Jiabin; Chen, Yanping Finite element approximation of space fractional optimal control problem with integral state constraint. (English) Zbl 1474.65453 Numer. Math., Theory Methods Appl. 13, No. 4, 1027-1049 (2020). MSC: 65N30 65K10 26A33 35R11 65N15 15B05 35B45 49M41 49J20 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Caixia; Wang, Shuli; Guo, Zuji Normalized minimizers for fractional Choquard equations in \(\mathbb{R}^N\). (Chinese. English summary) Zbl 1474.35649 Math. Pract. Theory 50, No. 18, 217-222 (2020). MSC: 35R11 × Cite Format Result Cite Review PDF
Klamka, Jerzy; Avetisyan, Ara S.; Khurshudyan, Asatur Zh. Exact and approximate distributed controllability of processes described by KdV and Boussinesq equations: the Green’s function approach. (English) Zbl 1457.93021 Arch. Control Sci. 30, No. 1, 177-193 (2020). MSC: 93B05 93C20 35Q53 93C10 93C15 34B27 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Yue; Jin, Chang Decoupled mixed element methods for fourth order elliptic optimal control problems with control constraints. (English) Zbl 1463.65376 Numer. Math., Theory Methods Appl. 13, No. 2, 400-432 (2020). MSC: 65N30 65N15 49J20 31A30 49M41 65K15 × Cite Format Result Cite Review PDF Full Text: DOI
Kamenskii, Mikhail; Makarenkov, Oleg; Wadippuli, Lakmi N. A continuation principle for periodic BV-continuous state-dependent sweeping processes. (English) Zbl 1516.34093 SIAM J. Math. Anal. 52, No. 6, 5598-5626 (2020). Reviewer: Aurelian Cernea (Bucureşti) MSC: 34G25 34C25 70H45 26B30 34A60 47H11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Trusov, N. V. Numerical solution of mean field games problems with turnpike effect. (English) Zbl 1450.49015 Lobachevskii J. Math. 41, No. 4, 561-576 (2020). MSC: 49M41 49N80 91A16 34H05 × Cite Format Result Cite Review PDF Full Text: DOI
Karasözen, Bülent; Uzunca, Murat; Küçükseyhan, Tuğba Reduced order optimal control of the convective FitzHugh-Nagumo equations. (English) Zbl 1448.49038 Comput. Math. Appl. 79, No. 4, 982-995 (2020). MSC: 49M41 49J20 49M05 49M25 65K10 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Azizi, Masoomeh; Amirfakhrian, Majid; Araghi, Mohammad Ali Fariborzi A fuzzy system based active set algorithm for the numerical solution of the optimal control problem governed by partial differential equation. (English) Zbl 1447.93193 Eur. J. Control 54, 99-110 (2020). MSC: 93C42 93C20 49J20 × Cite Format Result Cite Review PDF Full Text: DOI
Rupp, Fabian On the Łojasiewicz-Simon gradient inequality on submanifolds. (English) Zbl 1446.26015 J. Funct. Anal. 279, No. 8, Article ID 108708, 32 p. (2020). Reviewer: George Stoica (Saint John) MSC: 26D10 37C10 46T05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pieper, Konstantin; Tang, Bao Quoc; Trautmann, Philip; Walter, Daniel Inverse point source location with the Helmholtz equation on a bounded domain. (English) Zbl 1447.35387 Comput. Optim. Appl. 77, No. 1, 213-249 (2020). MSC: 35R30 35J05 35Q93 49J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Kang, Wen; Fridman, Emilia Constrained control of 1-D parabolic PDEs using sampled in space sensing and actuation. (English) Zbl 1447.93256 Syst. Control Lett. 140, Article ID 104698, 9 p. (2020). MSC: 93D05 93C20 93B52 93B53 × Cite Format Result Cite Review PDF Full Text: DOI
Rezazadeh, A.; Mahmoudi, M.; Darehmiraki, M. Space-time spectral collocation method for one-dimensional PDE constrained optimisation. (English) Zbl 1439.49057 Int. J. Control 93, No. 5, 1231-1241 (2020). MSC: 49M41 49J20 49M05 65M70 × Cite Format Result Cite Review PDF Full Text: DOI
Biccari, Umberto; Warma, Mahamadi; Zuazua, Enrique Controllability of the one-dimensional fractional heat equation under positivity constraints. (English) Zbl 1446.93012 Commun. Pure Appl. Anal. 19, No. 4, 1949-1978 (2020). MSC: 93B05 35R11 35S16 93C20 35S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tian, Linlin; Bai, Lihua; Guo, Junyi Optimal singular dividend problem under the Sparre Andersen model. (English) Zbl 1434.49025 J. Optim. Theory Appl. 184, No. 2, 603-626 (2020). MSC: 49L20 49L25 91G05 93E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
An, D. T. V.; Yao, J.-C.; Yen, N. D. Differential stability of a class of convex optimal control problems. (English) Zbl 1466.49001 Appl. Math. Optim. 81, No. 1, 1-22 (2020). MSC: 49J15 49J53 49K40 90C25 90C31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Berrahmoune, Larbi A variational approach to constrained null controllability for the heat equation. (English) Zbl 1431.93008 Eur. J. Control 52, 42-48 (2020). MSC: 93B05 35K05 93C20 49J40 × Cite Format Result Cite Review PDF Full Text: DOI
Ghiraldin, Francesco; Lamy, Xavier Optimal Besov differentiability for entropy solutions of the eikonal equation. (English) Zbl 1437.35135 Commun. Pure Appl. Math. 73, No. 2, 317-349 (2020). MSC: 35B65 35D99 35F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Osting, Braxton; Wang, Dong A diffusion generated method for orthogonal matrix-valued fields. (English) Zbl 1435.65144 Math. Comput. 89, No. 322, 515-550 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65M12 35K93 35K05 35Q56 35R09 35C20 65D18 65T50 65K10 15A18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv