Lavi, Ido; Meunier, Nicolas; Pantz, Olivier Implicit like time discretization for the one-phase Hele-Shaw problem with surface tension. (English) Zbl 07971373 ESAIM, Math. Model. Numer. Anal. 59, No. 1, 419-448 (2025). MSC: 65-XX 35-XX 49M15 49M25 35A15 76D27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lang, Jens; Schmitt, Bernhard A. Variable-stepsize implicit peer triplets in ODE constrained optimal control. (English) Zbl 07968722 J. Comput. Appl. Math. 460, Article ID 116417, 25 p. (2025). MSC: 65K10 65L06 49M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Buccheri, Stefano; Leonori, Tommaso; Rossi, Julio D. The best approximation of a given function in \(L^2\)-norm by Lipschitz functions with gradient constraint. (English) Zbl 07965610 Adv. Calc. Var. 18, No. 1, 49-71 (2025). MSC: 49J10 65K10 35J92 35J94 35J60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Fangyuan; Wang, Qiming; Zhou, Zhaojie Adaptive finite element approximation of sparse optimal control problem with integral fractional Laplacian. (English) Zbl 07960906 J. Sci. Comput. 102, No. 1, Paper No. 17, 31 p. (2025). MSC: 65N30 65N50 65N12 65N15 49J20 49M25 35A15 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gong, Zhaohua; Liu, Chongyang; Teo, Kok Lay; Wu, Yonghong A gradient-based optimization algorithm to solve optimal control problems with conformable fractional-order derivatives. (English) Zbl 1546.49055 J. Comput. Appl. Math. 454, Article ID 116169, 11 p. (2025). MSC: 49M25 49J10 65K10 × Cite Format Result Cite Review PDF Full Text: DOI
Nour, Chadi; Zeidan, Vera Numerical method for a controlled sweeping process with nonsmooth sweeping set. (English) Zbl 07950117 J. Optim. Theory Appl. 203, No. 2, 1385-1412 (2024). MSC: 49-XX 65-XX 49K21 65K10 34A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
N., Jamun Kumar; Reddy, J. N.; Srinivasa, Arun R.; Roy, Debasish A new mixed variational approach for Kirchhoff shells and \(C^0\) discretization with finite element exterior calculus. (English) Zbl 07947869 Comput. Methods Appl. Mech. Eng. 432, Part A, Article ID 117351, 28 p. (2024). MSC: 74K25 35A15 49M25 49S05 53Z30 65N30 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Diem, Huynh Thi Hong; Phan Quoc Khanh Global approximations of vector optimization problems in terms of variational convergence. (English) Zbl 07942664 J. Optim. Theory Appl. 203, No. 1, 83-110 (2024). MSC: 90C29 49J53 90C30 90C33 47H04 × Cite Format Result Cite Review PDF Full Text: DOI
Braides, Andrea; Causin, Andrea; Solci, Margherita Discrete approximation of nonlocal-gradient energies. (English) Zbl 07930857 Adv. Calc. Var. 17, No. 4, 1507-1518 (2024). MSC: 65K10 90C52 46E36 46E35 26A33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Katsevich, Anya; Rigollet, Philippe On the approximation accuracy of Gaussian variational inference. (English) Zbl 07928781 Ann. Stat. 52, No. 4, 1384-1409 (2024). MSC: 62E17 62F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Pop, Nicolae; Sireteanu, Tudor; Vladareanu, Luige; Iliescu, Mihaiela; Mitu, Ana-Maria; Maxim, Vicentiu Marius Numerical modeling and some optimal control problems of dynamic systems describing contact problems with friction in elasticity. (English) Zbl 07924182 Olaru, Sorin (ed.) et al., Difference equations, discrete dynamical systems and applications. IDCEA 2022. Selected papers based on the presentations at the 27th international conference, Gif-sur-Yvette, France, June 18–22, 2022. Cham: Springer. Springer Proc. Math. Stat. 444, 389-412 (2024). MSC: 37M15 37J55 49M25 49N10 49J15 49J21 × Cite Format Result Cite Review PDF Full Text: DOI
Xiang, Mingqi; Ma, Yunfeng; Yang, Miaomiao Normalized Homoclinic solutions of discrete nonlocal double phase problems. (English) Zbl 1547.49027 Bull. Math. Sci. 14, No. 2, Article ID 2450003, 18 p. (2024). MSC: 49M25 35A15 35R11 35K05 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yujie; Cheng, Xiaoliang; Xuan, Hailing Semidiscrete numerical approximation for dynamic hemivariational inequalities with history-dependent operators. (English) Zbl 07916263 Appl. Anal. 103, No. 10, 1882-1902 (2024). MSC: 49M25 65K15 74Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Adam, Aisha Aminu; Adamu, Abubakar; Ibrahim, Abdulkarim Hassan; Uzun Ozsahin, Dilber Inertial Halpern-type methods for variational inequality with application to medical image recovery. (English) Zbl 07912596 Commun. Nonlinear Sci. Numer. Simul. 139, Article ID 108315, 20 p. (2024). MSC: 47H20 49M20 49M25 49M27 47J25 47H05 × Cite Format Result Cite Review PDF Full Text: DOI
Chakib, Abdelkrim; Khalil, Ibrahim On some geometrical eigenvalue inverse problems involving the \(p\)-Laplacian operator. (English) Zbl 07899230 Comput. Appl. Math. 43, No. 6, Paper No. 340, 25 p. (2024). MSC: 65K10 49Mxx 49M25 × Cite Format Result Cite Review PDF Full Text: DOI
Dondl, Patrick; Hounkpe, Coffi Aristide; Jesenko, Martin \( \Gamma \)-convergence of a discrete Kirchhoff rod energy. (English) Zbl 1544.49007 ESAIM, Control Optim. Calc. Var. 30, Paper No. 53, 31 p. (2024). MSC: 49J45 49M25 35A15 74K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yodjai, Petcharaporn; Kumam, Poom; Martínez-Moreno, Juan; Jirakitpuwapat, Wachirapong Image inpainting via modified exemplar-based inpainting with two-stage structure tensor and image sparse representation. (English) Zbl 07872016 Math. Methods Appl. Sci. 47, No. 11, 9027-9045 (2024). MSC: 94A08 68U10 65K10 49M25 × Cite Format Result Cite Review PDF Full Text: DOI
Bartosz, Krzysztof; Szafraniec, Paweł Convergence of a double step scheme for a class of second order Clarke subdifferential inclusions. (English) Zbl 1540.34117 Nonlinear Anal., Real World Appl. 78, Article ID 104092, 17 p. (2024). MSC: 34G25 47J22 49J27 49J52 49J53 49M25 65J15 65N06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, H.; Hou, T. New a posteriori error estimates for optimal control problems governed by parabolic integro-differential equations. (Russian. English summary) Zbl 1539.49024 Sib. Zh. Vychisl. Mat. 27, No. 1, 83-95 (2024). MSC: 49M25 49J20 65K10 65M60 65M15 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Leite, Saul C.; Fragoso, Marcelo D. A numerical method for ergodic optimal control of switching diffusions with reflection. (English) Zbl 1537.93788 Eur. J. Control 77, Article ID 100989, 14 p. (2024). MSC: 93E20 65K10 60H30 49M25 × Cite Format Result Cite Review PDF Full Text: DOI
Schubert, Matthias; Sato Martín de Almagro, Rodrigo T.; Nachbagauer, Karin; Ober-Blöbaum, Sina; Leyendecker, Sigrid Discrete adjoint method for variational integration of constrained ODEs and its application to optimal control of geometrically exact beam dynamics. (English) Zbl 1546.49002 Multibody Syst. Dyn. 60, No. 3, 447-474 (2024). MSC: 49J05 49M25 74K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kaya, C. Yalçın; Noakes, Lyle; Zhang, Erchuan Multi-objective variational curves. (English) Zbl 1540.53005 J. Optim. Theory Appl. 201, No. 2, 955-975 (2024). MSC: 53A04 53C40 49M25 49Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Park, Jongho Additive Schwarz methods for semilinear elliptic problems with convex energy functionals: convergence rate independent of nonlinearity. (English) Zbl 1542.65184 SIAM J. Sci. Comput. 46, No. 3, A1373-A1396 (2024). MSC: 65N55 65N30 65Y05 65J15 35J61 90C25 41A25 49M25 35A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dambrine, M.; Dossal, Ch.; Puig, B.; Rondepierre, A. Stochastic differential equations for modeling first order optimization methods. (English) Zbl 07836050 SIAM J. Optim. 34, No. 2, 1402-1426 (2024). MSC: 60H10 49M25 65K10 90C25 90C30 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Boumimez, Somia; Castro, Carlos Numerical approximation of the boundary control for the wave equation in a square domain with a spectral collocation method. (English) Zbl 1549.65511 Comput. Appl. Math. 43, No. 2, Paper No. 81, 28 p. (2024). MSC: 65N35 65K10 49M25 93B05 93B20 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mannix, Paul M.; Skene, Calum S.; Auroux, Didier; Marcotte, Florence A robust, discrete-gradient descent procedure for optimisation with time-dependent PDE and norm constraints. (English) Zbl 1536.65119 SMAI J. Comput. Math. 10, 1-28 (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M70 65M06 65N35 65K10 65M12 65M15 76W05 86A30 49M41 41A60 41A50 93C20 15A15 35Q35 35Q86 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Walker, Shawn W. A descent scheme for thick elastic curves with self-contact and container constraints. (English) Zbl 1535.65085 J. Sci. Comput. 99, No. 2, Paper No. 29, 49 p. (2024). MSC: 65K15 49J05 49M25 74K10 × Cite Format Result Cite Review PDF Full Text: DOI
Colombo, Giovanni; Mordukhovich, Boris S.; Nguyen, Dao; Nguyen, Trang Discrete approximations and optimality conditions for controlled free-time sweeping processes. (English) Zbl 1535.49022 Appl. Math. Optim. 89, No. 2, Paper No. 40, 55 p. (2024). MSC: 49M25 90C30 49J52 49J53 49K40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Yunzhang; Tan, Xiaolu; Tang, Shanjian Discrete-time approximation of stochastic optimal control with partial observation. (English) Zbl 1533.93847 SIAM J. Control Optim. 62, No. 1, 326-350 (2024). MSC: 93E20 49J55 49M25 65K10 93-08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 1529.49026 J. Sci. Comput. 98, No. 1, Paper No. 1, 19 p. (2024). MSC: 49Q22 49M25 65K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ziegler, Scott; Santos, Talles; Mueller, Jennifer L. Regularized full waveform inversion for low frequency ultrasound tomography with a structural similarity EIT prior. (English) Zbl 1535.65176 Inverse Probl. Imaging 18, No. 1, 86-103 (2024). MSC: 65M32 65M30 65K10 65J20 65M60 65M70 41A60 78A46 78A45 78A70 92C55 76Q05 76M21 35R30 35R25 35Q92 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI
Wei, Suhua; Kong, Linghai A combined first and fractional order regularization method for mixed Poisson-White spike noisy image restoration. (English) Zbl 1532.94010 Inverse Probl. Imaging 18, No. 1, 38-61 (2024). Reviewer: Steven B. Damelin (Ann Arbor) MSC: 94A08 65K10 65R32 49M25 49M41 × Cite Format Result Cite Review PDF Full Text: DOI
Gladbach, Peter; Maas, Jan; Portinale, Lorenzo Stochastic Homogenisation of nonlinear minimum-cost flow problems. arXiv:2412.05217 Preprint, arXiv:2412.05217 [math.AP] (2024). MSC: 49Q22 49M25 49J45 65K10 74Q10 × Cite Format Result Cite Full Text: arXiv OA License
Mordukhovich, Boris; Nguyen, Dao; Nguyen, Trang; Ortiz-Robinson, Norma; Ríos, Vinicio Well-posedness and Stability of Discrete Approximations for Controlled Sweeping Processes with Time Delay. arXiv:2409.20404 Preprint, arXiv:2409.20404 [math.OC] (2024). MSC: 49J24 49J25 49J53 49M25 93B35 × Cite Format Result Cite Full Text: arXiv OA License
Colombo, Giovanni; Mordukhovich, Boris S.; Nguyen, Dao; Nguyen, Trang; Ortiz-Robinson, Norma Optimal control of perturbed sweeping processes with applications to general robotics models. arXiv:2405.08986 Preprint, arXiv:2405.08986 [math.OC] (2024). MSC: 49J40 49J53 49K24 49M25 70B15 93C73 × Cite Format Result Cite Full Text: arXiv OA License
Schiemann, Annika; Manns, Paul Discretization of Total Variation in Optimization with Integrality Constraints. arXiv:2403.08346 Preprint, arXiv:2403.08346 [math.NA] (2024). MSC: 65D18 65K10 49M25 × Cite Format Result Cite Full Text: arXiv OA License
Bartels, Sören; Kaltenbach, Alex Exact a posteriori error control for variational problems via convex duality and explicit flux reconstruction. arXiv:2402.06429 Preprint, arXiv:2402.06429 [math.NA] (2024). MSC: 35Q68 49M25 49M29 65K15 65N15 65N50 × Cite Format Result Cite Full Text: arXiv OA License
Ju, Chunming; Bisci, Giovanni Molica; Zhang, Binlin On sequences of homoclinic solutions for fractional discrete \(p\)-Laplacian equations. (English) Zbl 1548.35282 Commun. Anal. Mech. 15, No. 4, 586-597 (2023). MSC: 35R11 49M25 35J20 35J92 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Youchan; Ryu, Seungjin; Shin, Pilsoo Approximation of elliptic and parabolic equations with Dirichlet boundary conditions. (English) Zbl 1536.35020 Math. Eng. (Springfield) 5, No. 4, Paper No. 79, 43 p. (2023). MSC: 35A35 35J35 35J62 35K20 35K59 × Cite Format Result Cite Review PDF Full Text: DOI
Lukyanenko, D. V.; Argun, R. L.; Borzunov, A. A.; Gorbachev, A. V.; Shinkarev, V. D.; Shishlenin, M. A.; Yagola, A. G. On the features of numerical solution of coefficient inverse problems for nonlinear equations of the reaction-diffusion-advection type with data of various types. (English) Zbl 1534.65167 Differ. Equ. 59, No. 12, 1734-1757 (2023). MSC: 65M32 35R30 65M06 65N06 65N50 65L80 65L05 65K10 65D05 41A60 35B25 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Ebrahimzadeh, Asiyeh; Hashemizadeh, Elham Optimal control of non-linear Volterra integral equations with weakly singular kernels based on Genocchi polynomials and collocation method. (English) Zbl 1529.65143 J. Nonlinear Math. Phys. 30, No. 4, 1758-1773 (2023). MSC: 65R20 65K10 49M25 45D05 × Cite Format Result Cite Review PDF Full Text: DOI
Potapov, D. K. Approximation to the Sturm-Liouville problem with a discontinuous nonlinearity. (English. Russian original) Zbl 1531.34040 Differ. Equ. 59, No. 9, 1185-1192 (2023); translation from Differ. Uravn. 59, No. 9, 1191-1198 (2023). MSC: 34B24 34A36 34A45 41A99 47J30 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, Jianfeng; Chen, Xiaojun An optimal control problem with terminal stochastic linear complementarity constraints. (English) Zbl 1527.49003 SIAM J. Control Optim. 61, No. 6, 3370-3389 (2023). MSC: 49J15 49J45 49M25 49N10 90C15 90C33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hosseinkhan, Alireza; Showalter, Ralph E. Semilinear degenerate Biot-Signorini system. (English) Zbl 1528.35121 SIAM J. Math. Anal. 55, No. 5, 5643-5665 (2023). MSC: 35Q35 35Q74 35M87 74F10 74B20 74L10 76M30 76S05 35A01 35B65 35Q86 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Namm, R. V.; Tsoy, G. I. Duality method for solving 3D contact problems with friction. (English. Russian original) Zbl 1525.74154 Comput. Math. Math. Phys. 63, No. 7, 1350-1361 (2023); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 7, 1225-1237 (2023). MSC: 74M15 76M10 74G22 74S05 49J40 × Cite Format Result Cite Review PDF Full Text: DOI
Soga, Kohei A remark on Tonelli’s calculus of variations. (English) Zbl 1522.49002 Russ. J. Nonlinear Dyn. 19, No. 2, 239-248 (2023). MSC: 49J15 49M25 37J51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv MNR
Choquet, Catherine; Comte, Eloïse Optimal control of lake eutrophication. (English) Zbl 1521.35173 J. Math. Anal. Appl. 528, No. 2, Article ID 127528, 19 p. (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q92 92D40 86A05 49S05 49K40 49M25 49J20 35K55 35D30 35A01 35A02 35B50 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xindan; Zhao, Jianping; Hou, Yanren A priori error estimates of Crank-Nicolson finite element method for parabolic optimal control problems. (English) Zbl 1538.49041 Comput. Math. Appl. 144, 274-289 (2023). MSC: 49M25 49J20 65M60 65K10 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Adly, Samir; Attouch, Hedy; Vo, Van Nam Convergence of inertial dynamics driven by sums of potential and nonpotential operators with implicit Newton-like damping. (English) Zbl 1531.37081 J. Optim. Theory Appl. 198, No. 1, 290-331 (2023). Reviewer: Julien Ugon (Burwood) MSC: 37N40 37M99 49M15 49M25 70F40 65K05 65K10 × Cite Format Result Cite Review PDF Full Text: DOI
Porteous, William A.; Laiu, Ming Tse P.; Hauck, Cory D. Data-driven, structure-preserving approximations to entropy-based moment closures for kinetic equations. (English) Zbl 1516.65112 Commun. Math. Sci. 21, No. 4, 885-913 (2023). MSC: 65M99 35Q20 65K10 82C40 82C70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Otárola, Enrique Error estimates for fractional semilinear optimal control on Lipschitz polytopes. (English) Zbl 07708055 Appl. Math. Optim. 88, No. 2, Paper No. 40, 32 p. (2023). MSC: 65-XX 35R11 49J20 49M25 65K10 65N15 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Binjie; Xie, Xiaoping Temporal semi-discretizations of a backward semilinear stochastic evolution equation. (English) Zbl 1515.65028 Appl. Math. Optim. 88, No. 2, Paper No. 34, 30 p. (2023). MSC: 65C30 60H35 65K10 49N10 49J55 49M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Adamu, Abubakar; Kumam, Poom; Kitkuan, Duangkamon; Padcharoen, Anantachai A Tseng-type algorithm for approximating zeros of monotone inclusion and \(J\)-fixed-point problems with applications. (English) Zbl 1543.47119 Fixed Point Theory Algorithms Sci. Eng. 2023, Paper No. 3, 23 p. (2023). MSC: 47J25 47J22 47H05 49M25 49M27 × Cite Format Result Cite Review PDF Full Text: DOI
Leng, Haitao A posteriori error analysis for pressure-robust HDG methods for the stationary incompressible Navier-Stokes equations. (English) Zbl 1517.35156 J. Sci. Comput. 94, No. 3, Paper No. 52, 24 p. (2023). MSC: 35Q30 76D05 49M25 35B45 65N30 65N50 65K10 65N15 47J26 × Cite Format Result Cite Review PDF Full Text: DOI
Izuchukwu, Chinedu; Shehu, Yekini; Dong, Qiao-Li Two-step inertial forward-reflected-backward splitting based algorithm for nonconvex mixed variational inequalities. (English) Zbl 1512.90168 J. Comput. Appl. Math. 426, Article ID 115093, 14 p. (2023). MSC: 90C25 90C30 90C60 68Q25 49M25 90C22 × Cite Format Result Cite Review PDF Full Text: DOI
Herberg, Evelyn; Hinze, Michael Variational discretization of one-dimensional elliptic optimal control problems with BV functions based on the mixed formulation. (English) Zbl 1538.49039 Math. Control Relat. Fields 13, No. 2, 695-720 (2023). MSC: 49M25 26A45 49J20 65K10 65N15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tran, Quyen; Antil, Harbir; Díaz, Hugo Optimal control of parameterized stationary Maxwell’s system: reduced basis, convergence analysis, and a posteriori error estimates. (English) Zbl 1512.35570 Math. Control Relat. Fields 13, No. 1, 431-449 (2023). MSC: 35Q61 35Q93 65M60 65M12 65K10 49M25 × Cite Format Result Cite Review PDF Full Text: DOI
Peiping, Shen; Yafei, Wang; Dianxiao, Wu A spatial branch and bound algorithm for solving the sum of linear ratios optimization problem. (English) Zbl 07694971 Numer. Algorithms 93, No. 3, 1373-1400 (2023). MSC: 65-XX 90C30 90C33 90C15 × Cite Format Result Cite Review PDF Full Text: DOI
Henrion, René; Jourani, Abderrahim; Mordukhovich, Boris S. Controlled polyhedral sweeping processes: existence, stability, and optimality conditions. (English) Zbl 1516.49017 J. Differ. Equations 366, 408-443 (2023). Reviewer: Radu Ioan Boţ (Wien) MSC: 49J52 49J53 49M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Yang, Caijie; Sun, Tongjun Second-order time discretization for reaction coefficient estimation of bilinear parabolic optimization problem with Neumann boundary conditions. (English) Zbl 1538.49006 Comput. Math. Appl. 140, 211-224 (2023). MSC: 49J20 49K20 65K10 65M15 49M25 × Cite Format Result Cite Review PDF Full Text: DOI
Izuchukwu, Chinedu; Shehu, Yekini; Okeke, Chibueze C. Extension of forward-reflected-backward method to non-convex mixed variational inequalities. (English) Zbl 1518.90116 J. Glob. Optim. 86, No. 1, 123-140 (2023). MSC: 90C33 90C25 90C60 68Q25 49M25 × Cite Format Result Cite Review PDF Full Text: DOI
Gladbach, Peter; Kopfer, Eva; Maas, Jan; Portinale, Lorenzo Homogenisation of dynamical optimal transport on periodic graphs. (English) Zbl 1514.49023 Calc. Var. Partial Differ. Equ. 62, No. 5, Paper No. 143, 75 p. (2023). Reviewer: Nicolò De Ponti (Trieste) MSC: 49Q22 49M25 49J45 65K10 74Q10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Garg, Divay; Porwal, Kamana Mixed finite element method for a second order Dirichlet boundary control problem. (English) Zbl 1538.65510 Comput. Math. Appl. 135, 31-59 (2023). MSC: 65N30 49M25 65K10 65N15 49J20 35A15 49M41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
De Gennaro, Daniele; Kubin, Andrea; Kubin, Anna Asymptotic of the discrete volume-preserving fractional mean curvature flow via a nonlocal quantitative Alexandrov theorem. (English) Zbl 1507.35319 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 228, Article ID 113200, 23 p. (2023). MSC: 35R11 35K93 39A12 49M25 49Q20 53E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Du, Shaohong; He, Xiaoxia Finite element approximation to optimal Dirichlet boundary control problem: a priori and a posteriori error estimates. (English) Zbl 1524.65792 Comput. Math. Appl. 131, 14-25 (2023). MSC: 65N30 49J20 49M25 65K10 65N15 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Korhonen, Pekka; Hui, Francis K. C.; Niku, Jenni; Taskinen, Sara Fast and universal estimation of latent variable models using extended variational approximations. (English) Zbl 1502.62018 Stat. Comput. 33, No. 1, Paper No. 26, 16 p. (2023). MSC: 62-08 62J12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fernández, Francisco J.; Martínez, Aurea; Alvarez-Vázquez, Lino J. Controlling eutrophication by means of water recirculation: an optimal control perspective. (English) Zbl 1501.49003 J. Comput. Appl. Math. 421, Article ID 114886, 26 p. (2023). MSC: 49J20 49S05 65K10 49M25 × Cite Format Result Cite Review PDF Full Text: DOI
Portinale, Lorenzo; Quattrocchi, Filippo Discrete-to-continuum limits of optimal transport with linear growth on periodic graphs. arXiv:2311.17284 Preprint, arXiv:2311.17284 [math.OC] (2023). MSC: 49Q22 49M25 49J45 65K10 74Q10 × Cite Format Result Cite Full Text: DOI arXiv OA License
Mordukhovich, Boris S.; Nguyen, Dao; Nguyen, Trang Optimal control of sweeping processes in unmanned surface vehicle and nanoparticle modeling. arXiv:2311.12916 Preprint, arXiv:2311.12916 [math.OC] (2023). MSC: 49J52 49J53 49K24 49M25 90C30 × Cite Format Result Cite Full Text: arXiv OA License
Tanaka, Ken’ichiro Accelerated gradient descent method for functionals of probability measures by new convexity and smoothness based on transport maps. arXiv:2305.05127 Preprint, arXiv:2305.05127 [math.OC] (2023). MSC: 65K10 49M37 62E17 × Cite Format Result Cite Full Text: arXiv OA License
Kalinin, Anatoliĭ Iosifovich; Lavrinovich, Leonid Ivanovich; Prudnikova, Dar’ya Yur’evna The small parameter method in the optimisation of a quasi-linear dynamical system problem. (Russian. English summary) Zbl 07973388 Zh. Beloruss. Gos. Univ., Mat., Inform. 2022, No. 2, 23-33 (2022). MSC: 49J15 49M05 49N35 65K10 × Cite Format Result Cite Review PDF Full Text: Link
Gadhi, Nazih Abderrazzak; Ichatouhane, Aissam Optimality conditions in set-valued optimization using approximations as generalized derivatives. (English) Zbl 1539.49020 Control Cybern. 51, No. 4, 425-444 (2022). Reviewer: Sorin-Mihai Grad (Paris) MSC: 49J53 × Cite Format Result Cite Review PDF Full Text: DOI
Hardesty, Sean; Antil, Harbir; Kouri, Drew P.; Ridzal, Denis The strip method for shape derivatives. (English) Zbl 1527.49033 Int. J. Numer. Methods Eng. 123, No. 7, 1606-1626 (2022). MSC: 49Q10 65K10 49M25 × Cite Format Result Cite Review PDF Full Text: DOI
Knees, Dorothee; Meyer, Christian; Sievers, Michael Optimal control of non-convex rate-independent systems via vanishing viscosity – The finite dimensional case. (English) Zbl 1505.49004 Pure Appl. Funct. Anal. 7, No. 5, 1733-1766 (2022). MSC: 49J15 49J40 74C05 35D40 49J45 49M25 × Cite Format Result Cite Review PDF Full Text: Link
Dondl, Patrick; Müller, Johannes; Zeinhofer, Marius Uniform convergence guarantees for the deep Ritz method for nonlinear problems. (English) Zbl 1535.65082 Adv. Contin. Discrete Models 2022, Paper No. 49, 19 p. (2022). MSC: 65K10 49M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liao, Qichen; Chen, Jing; Wang, Zihao; Bai, Bo; Jin, Shi; Wu, Hao Fast Sinkhorn. I: An \(O(N)\) algorithm for the Wasserstein-1 metric. (English) Zbl 1503.49027 Commun. Math. Sci. 20, No. 7, 2053-2057 (2022). MSC: 49M25 65K10 49Q22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shutyaev, Victor P.; Parmuzin, Eugene I. Sensitivity of functionals of the solution to a variational data assimilation problem with heat flux reconstruction for the sea thermodynamics model. (English) Zbl 07629760 Russ. J. Numer. Anal. Math. Model. 37, No. 6, 373-382 (2022). MSC: 65M32 65K10 80A19 86A05 49M25 93B35 35R30 35Q86 × Cite Format Result Cite Review PDF Full Text: DOI
Bartels, Sören; Hertzog, Stephan Error bounds for discretized optimal transport and its reliable efficient numerical solution. (English) Zbl 1502.49033 Hintermüller, Michael (ed.) et al., Non-smooth and complementarity-based distributed parameter systems. Simulation and hierarchical optimization. Cham: Birkhäuser. ISNM, Int. Ser. Numer. Math. 172, 1-20 (2022). MSC: 49Q22 65K10 49M25 90C08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Anders Petersson, N.; Garcia, Fortino Optimal control of closed quantum systems via B-splines with carrier waves. (English) Zbl 1513.81075 SIAM J. Sci. Comput. 44, No. 6, A3592-A3616 (2022). MSC: 81Q93 49S05 49M25 65D07 65L06 81P65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ushiyama, Kansei; Sato, Shun; Matsuo, Takayasu Deriving efficient optimization methods based on stable explicit numerical methods. (English) Zbl 1509.65058 JSIAM Lett. 14, 29-32 (2022). MSC: 65K10 49M25 37N40 × Cite Format Result Cite Review PDF Full Text: DOI
Thuy, Nguyen Thi Thu; Nghia, Nguyen Trung A parallel algorithm for generalized multiple-set split feasibility with application to optimal control problems. (English) Zbl 1521.49023 Taiwanese J. Math. 26, No. 5, 1069-1092 (2022). MSC: 49M25 41A65 47H05 47H09 49J53 90C25 × Cite Format Result Cite Review PDF Full Text: DOI
Ledzewicz, Urszula; Schättler, Heinz Pitfalls in applying optimal control to dynamical systems: an overview and editorial perspective. (English) Zbl 1498.49001 Discrete Contin. Dyn. Syst., Ser. B 27, No. 11, 6711-6722 (2022). Reviewer: Hector O. Fattorini (Los Angeles) MSC: 49-01 49K15 49L20 93C10 93C15 49M25 37N35 65K15 × Cite Format Result Cite Review PDF Full Text: DOI
Campana, Francesca Calà; Borzì, Alfio On the SQH method for solving differential Nash games. (English) Zbl 1497.49027 J. Dyn. Control Syst. 28, No. 4, 739-755 (2022). MSC: 49K15 49N70 91A23 49M05 65K10 91A10 × Cite Format Result Cite Review PDF Full Text: DOI
Nguyen, Quoc Khanh; Serra-Capizzano, Stefano; Tablino-Possio, Cristina; Wadbro, Eddie Spectral analysis of the finite element matrices approximating 2D linearly elastic structures and multigrid proposals. (English) Zbl 07584141 Numer. Linear Algebra Appl. 29, No. 4, e2433, 25 p. (2022). MSC: 15A18 65F15 65K10 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Parkinson, Alex Linear programming based optimality conditions and approximate solution of a deterministic periodic optimal control problem in discrete time. (English) Zbl 1504.49050 Syst. Control Lett. 167, Article ID 105338, 9 p. (2022). Reviewer: Aygul Manapova (Ufa) MSC: 49M25 90C05 49J35 × Cite Format Result Cite Review PDF Full Text: DOI
Casas, Eduardo; Kunisch, Karl; Tröltzsch, Fredi Optimal control of PDEs and FE-approximation. (English) Zbl 1495.49004 Trélat, Emmanuel (ed.) et al., Numerical control. Part A. Amsterdam: Elsevier/North Holland. Handb. Numer. Anal. 23, 115-163 (2022). MSC: 49J20 65K10 65M60 49M41 49K20 49M25 × Cite Format Result Cite Review PDF Full Text: Link
Yang, Chaoyi; Fabien, Brian C. An adaptive mesh refinement method for indirectly solving optimal control problems. (English) Zbl 1496.65078 Numer. Algorithms 91, No. 1, 193-225 (2022). MSC: 65K10 49M25 65L60 × Cite Format Result Cite Review PDF Full Text: DOI
Baňas, Ľubomír; Dawid, Herbert; Randrianasolo, Tsiry Avisoa; Storn, Johannes; Wen, Xingang Numerical approximation of a system of Hamilton-Jacobi-Bellman equations arising in innovation dynamics. (English) Zbl 1502.65111 J. Sci. Comput. 92, No. 2, Paper No. 54, 35 p. (2022). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M70 65M06 65L06 65N50 65N30 65N35 65N06 65K10 49L25 91A15 35Q91 × Cite Format Result Cite Review PDF Full Text: DOI
Lang, Jens; Schmitt, Bernhard A. Discrete adjoint implicit peer methods in optimal control. (English) Zbl 1498.65100 J. Comput. Appl. Math. 416, Article ID 114596, 15 p. (2022). MSC: 65K10 49J15 49M05 49M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Zemian; Chen, Xuesong A global convergent semi-smooth Newton method for semi-linear elliptic optimal control problem. (English) Zbl 1524.49008 Comput. Math. Appl. 120, 15-27 (2022). MSC: 49J20 65K10 49M15 49K20 49M25 × Cite Format Result Cite Review PDF Full Text: DOI
Kong, Linghai; Wei, Suhua A variational method for Abel inversion tomography with mixed Poisson-Laplace-Gaussian noise. (English) Zbl 1492.94021 Inverse Probl. Imaging 16, No. 4, 967-995 (2022). MSC: 94A08 65K10 65R32 49M25 49M41 68U10 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Shenghua; Tao, Hongyuan; Lin, Rongguang; Cho, Yeol Je A self-adaptive stochastic subgradient extragradient algorithm for the stochastic pseudomonotone variational inequality problem with application. (English) Zbl 1495.49018 Z. Angew. Math. Phys. 73, No. 4, Paper No. 164, 26 p. (2022). MSC: 49M25 65K15 49J55 49J40 54E70 47H25 × Cite Format Result Cite Review PDF Full Text: DOI
Alacaoglu, Ahmet; Fercoq, Olivier; Cevher, Volkan On the convergence of stochastic primal-dual hybrid gradient. (English) Zbl 1494.90075 SIAM J. Optim. 32, No. 2, 1288-1318 (2022). MSC: 90C25 90C06 90C47 65K10 49M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bouach, Abderrahim; Haddad, Tahar; Mordukhovich, Boris S. Optimal control of nonconvex integro-differential sweeping processes. (English) Zbl 1489.49017 J. Differ. Equations 329, 255-317 (2022). MSC: 49K21 49M25 94C99 45D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kaya, C. Yalçın Observer path planning for maximum information. (English) Zbl 1489.49014 Optimization 71, No. 4, 1097-1116 (2022). MSC: 49K15 49M25 65K99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Quanxiang; Xie, Jianqiang; Zhang, Zhiyue Nonconforming immersed finite element method for solving elliptic optimal control problems with interfaces. (English) Zbl 1490.49021 Appl. Anal. 101, No. 6, 2197-2216 (2022). MSC: 49M41 49M05 49M25 65K10 65N30 82B24 × Cite Format Result Cite Review PDF Full Text: DOI
Assous, Franck; Furman, Yevgeni Multi-scale paraxial models to approximate Vlasov-Maxwell equations. (English) Zbl 07516745 Comput. Methods Appl. Math. 22, No. 2, 277-295 (2022). MSC: 65-XX 41A60 78A25 78A30 78A35 34E05 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Herberg, Evelyn; Hinze, Michael Variational discretization approach applied to an optimal control problem with bounded measure controls. (English) Zbl 1487.49037 Herzog, Roland (ed.) et al., Optimization and control for partial differential equations. Uncertainty quantification, open and closed-loop control, and shape optimization. Berlin: De Gruyter. Radon Ser. Comput. Appl. Math. 29, 113-135 (2022). MSC: 49M25 65K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Du, Shaohong; Cai, Zhiqiang A finite element method for Dirichlet boundary control of elliptic partial differential equations. (English) Zbl 1486.49032 Commun. Math. Sci. 20, No. 4, 1081-1102 (2022). MSC: 49K20 49M25 65K10 65N21 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sweilam, Nasser H.; Assiri, Taghreed A.; Hasan, Muner M. Abou Optimal control problem of variable-order delay system of advertising procedure: numerical treatment. (English) Zbl 1487.49060 Discrete Contin. Dyn. Syst., Ser. S 15, No. 5, 1247-1268 (2022). MSC: 49S05 26A33 49M25 65L03 91B16 91B26 × Cite Format Result Cite Review PDF Full Text: DOI