Antil, Harbir; Arndt, Rafael; Rautenberg, Carlos N.; Verma, Deepanshu Nondiffusive variational problems with distributional and weak gradient constraints. (English) Zbl 1498.35293 Adv. Nonlinear Anal. 11, 1466-1495 (2022). MSC: 35J86 35K85 58E35 90C46 PDF BibTeX XML Cite \textit{H. Antil} et al., Adv. Nonlinear Anal. 11, 1466--1495 (2022; Zbl 1498.35293) Full Text: DOI arXiv OpenURL
Geiersbach, Caroline; Loayza-Romero, Estefania; Welker, Kathrin Stochastic approximation for optimization in shape spaces. (English) Zbl 1458.49034 SIAM J. Optim. 31, No. 1, 348-376 (2021). Reviewer: Antoine Henrot (Vandœuvre-lès-Nancy) MSC: 49Q10 35R60 60H15 60H30 60H35 35R15 PDF BibTeX XML Cite \textit{C. Geiersbach} et al., SIAM J. Optim. 31, No. 1, 348--376 (2021; Zbl 1458.49034) Full Text: DOI arXiv OpenURL
Mayorga, Sergio Short time solution to the master equation of a first order mean field game. (English) Zbl 1447.35331 J. Differ. Equations 268, No. 10, 6251-6318 (2020). MSC: 35Q91 35R06 35R15 45K05 49L99 49N70 91A15 91A23 91A07 PDF BibTeX XML Cite \textit{S. Mayorga}, J. Differ. Equations 268, No. 10, 6251--6318 (2020; Zbl 1447.35331) Full Text: DOI arXiv OpenURL
Mohammadi, Vahid; Dehghan, Mehdi Simulation of the phase field Cahn-Hilliard and tumor growth models via a numerical scheme: element-free Galerkin method. (English) Zbl 1440.74428 Comput. Methods Appl. Mech. Eng. 345, 919-950 (2019). MSC: 74S05 92-10 92C42 37L65 65M22 65M50 65M60 74L15 PDF BibTeX XML Cite \textit{V. Mohammadi} and \textit{M. Dehghan}, Comput. Methods Appl. Mech. Eng. 345, 919--950 (2019; Zbl 1440.74428) Full Text: DOI OpenURL
Yu, Yang; Pei, Hai-Long; Xu, Cheng-Zhong Identification of water depth and velocity potential for water waves. (English) Zbl 1425.93136 Syst. Control Lett. 125, 29-36 (2019). MSC: 93C20 76B15 35Q35 35L05 PDF BibTeX XML Cite \textit{Y. Yu} et al., Syst. Control Lett. 125, 29--36 (2019; Zbl 1425.93136) Full Text: DOI HAL OpenURL
Tian, Ming; Zhang, Hui-Fang Regularized gradient-projection methods for finding the minimum-norm solution of the constrained convex minimization problem. (English) Zbl 1357.58024 J. Inequal. Appl. 2017, Paper No. 13, 12 p. (2017). MSC: 58E35 47H09 65J15 PDF BibTeX XML Cite \textit{M. Tian} and \textit{H.-F. Zhang}, J. Inequal. Appl. 2017, Paper No. 13, 12 p. (2017; Zbl 1357.58024) Full Text: DOI OpenURL
Cheng, Guang; Ho, Jeffrey; Salehian, Hesamoddin; Vemuri, Baba C. Recursive computation of the Fréchet mean on non-positively curved Riemannian manifolds with applications. (English) Zbl 1338.65169 Turaga, Pavan K. (ed.) et al., Riemannian computing in computer vision. Cham: Springer (ISBN 978-3-319-22956-0/hbk; 978-3-319-22957-7/ebook). 21-43 (2016). MSC: 65K10 58B20 49J27 53C25 PDF BibTeX XML Cite \textit{G. Cheng} et al., in: Riemannian computing in computer vision. Cham: Springer. 21--43 (2016; Zbl 1338.65169) Full Text: DOI OpenURL
Khong, Sei Zhen; Tan, Ying; Manzie, Chris; Nešić, Dragan Extremum seeking of dynamical systems via gradient descent and stochastic approximation methods. (English) Zbl 1323.93076 Automatica 56, 44-52 (2015). MSC: 93E20 93C57 93E25 93C55 93C10 PDF BibTeX XML Cite \textit{S. Z. Khong} et al., Automatica 56, 44--52 (2015; Zbl 1323.93076) Full Text: DOI OpenURL
Jiang, Chaolong; Huang, Rongfang; Sun, Jianqiang The averaged discrete gradient method for the coupled nonlinear Schrödinger equations. (Chinese. English summary) Zbl 1324.65153 Chin. J. Eng. Math. 31, No. 5, 707-718 (2014). MSC: 65P10 35Q55 37M15 37K10 65M60 PDF BibTeX XML Cite \textit{C. Jiang} et al., Chin. J. Eng. Math. 31, No. 5, 707--718 (2014; Zbl 1324.65153) Full Text: DOI OpenURL
Devolder, Olivier; Glineur, François; Nesterov, Yurii Double smoothing technique for large-scale linearly constrained convex optimization. (English) Zbl 1257.90047 SIAM J. Optim. 22, No. 2, 702-727 (2012). Reviewer: Rembert Reemtsen (Cottbus) MSC: 90C06 90C25 90C60 PDF BibTeX XML Cite \textit{O. Devolder} et al., SIAM J. Optim. 22, No. 2, 702--727 (2012; Zbl 1257.90047) Full Text: DOI Link OpenURL
Curtef, O.; Dirr, G.; Helmke, U. Riemannian optimization on tensor products of Grassmann manifolds: applications to generalized Rayleigh-quotients. (English) Zbl 1250.65082 SIAM J. Matrix Anal. Appl. 33, No. 1, 210-234 (2012). Reviewer: Bülent Karasözen (Ankara) MSC: 65K10 15A69 81P68 49J27 94A12 68P20 65D18 49M15 58E30 65F30 PDF BibTeX XML Cite \textit{O. Curtef} et al., SIAM J. Matrix Anal. Appl. 33, No. 1, 210--234 (2012; Zbl 1250.65082) Full Text: DOI arXiv OpenURL
Prykarpatsky, Yarema A.; Bogolubov, Nikolai N. jun.; Prykarpatsky, Anatoliy K.; Samoylenko, Valeriy H. On the complete integrability of nonlinear dynamical systems on functional manifolds within the gradient-holonomic approach. (English) Zbl 1261.37029 Rep. Math. Phys. 68, No. 3, 289-318 (2011). Reviewer: Willard Miller jun. (Minneapolis) MSC: 37K10 PDF BibTeX XML Cite \textit{Y. A. Prykarpatsky} et al., Rep. Math. Phys. 68, No. 3, 289--318 (2011; Zbl 1261.37029) Full Text: DOI arXiv OpenURL
Matzeu, Michele; Servadei, Raffaella Stability for semilinear elliptic variational inequalities depending on the gradient. (English) Zbl 1220.35078 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 15, 5161-5170 (2011). MSC: 35J87 49J40 58E05 PDF BibTeX XML Cite \textit{M. Matzeu} and \textit{R. Servadei}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 15, 5161--5170 (2011; Zbl 1220.35078) Full Text: DOI OpenURL
Yang, Jianke Nonlinear waves in integrable and nonintegrable systems. (English) Zbl 1234.35006 Mathematical Modeling and Computation 16. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-898717-05-1/pbk; 978-0-89871-968-0/ebook). xxvi, 430 p. (2010). Reviewer: Georg Hebermehl (Berlin) MSC: 35-02 37-02 65-02 35Q55 35Q41 35Q51 35J10 35P10 37K10 37K15 65N25 65N35 37K40 78A60 82C10 PDF BibTeX XML Cite \textit{J. Yang}, Nonlinear waves in integrable and nonintegrable systems. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2010; Zbl 1234.35006) Full Text: DOI OpenURL
Lakoba, T. I. Conjugate gradient method for finding fundamental solitary waves. (English) Zbl 1180.37109 Physica D 238, No. 23-24, 2308-2330 (2009). MSC: 37K40 37M05 37C65 PDF BibTeX XML Cite \textit{T. I. Lakoba}, Physica D 238, No. 23--24, 2308--2330 (2009; Zbl 1180.37109) Full Text: DOI arXiv OpenURL
Zhang, Kewei On non-negative quasiconvex functions with quasimonotone gradients and prescribed zero sets. (English) Zbl 1143.49003 Discrete Contin. Dyn. Syst. 21, No. 1, 353-366 (2008). MSC: 49J10 49J45 58E05 74P10 PDF BibTeX XML Cite \textit{K. Zhang}, Discrete Contin. Dyn. Syst. 21, No. 1, 353--366 (2008; Zbl 1143.49003) Full Text: DOI OpenURL
Miyajima, Shizuo; Tanaka, Mieko Application of local linking to asymptotically linear wave equations with resonance. (English) Zbl 1109.58020 Tokyo J. Math. 29, No. 1, 19-43 (2006). Reviewer: Themistocles M. Rassias (Athens) MSC: 58E05 35L05 35L35 47J30 PDF BibTeX XML Cite \textit{S. Miyajima} and \textit{M. Tanaka}, Tokyo J. Math. 29, No. 1, 19--43 (2006; Zbl 1109.58020) Full Text: DOI OpenURL
Ishmukhametov, A. Z. Regularized approximate methods of a projection and a conditional gradient with the finite-step inner algorithms. (Russian, English) Zbl 1083.47504 Zh. Vychisl. Mat. Mat. Fiz. 43, No. 12, 1896-1909 (2003); translation in Comput. Math. Math. Phys. 43, No. 12, 1823-1836 (2003). Reviewer: Evgenij Nechaev (Moskva) MSC: 47A52 90C52 65K05 90C48 PDF BibTeX XML Cite \textit{A. Z. Ishmukhametov}, Zh. Vychisl. Mat. Mat. Fiz. 43, No. 12, 1896--1909 (2003; Zbl 1083.47504); translation in Comput. Math. Math. Phys. 43, No. 12, 1823--1836 (2003) OpenURL
Alvarez, F.; Attouch, H.; Bolte, J.; Redont, P. A second-order gradient-like dissipative dynamical system with Hessian-driven damping. Application to optimization and mechanics. (English) Zbl 1036.34072 J. Math. Pures Appl. (9) 81, No. 8, 747-779 (2002). MSC: 34G20 37L65 34H05 70F40 90C30 PDF BibTeX XML Cite \textit{F. Alvarez} et al., J. Math. Pures Appl. (9) 81, No. 8, 747--779 (2002; Zbl 1036.34072) Full Text: DOI OpenURL
Poláčik, P. Parabolic equations: Asymptotic behavior and dynamics on invariant manifolds. (English) Zbl 1002.35001 Fiedler, Bernold (ed.), Handbook of dynamical systems. Volume 2. Amsterdam: Elsevier. 835-883 (2002). Reviewer: Jan Cholewa (Katowice) MSC: 35-02 35B40 35K90 35B41 35B05 37L25 37K60 PDF BibTeX XML Cite \textit{P. Poláčik}, in: Handbook of dynamical systems. Volume 2. Amsterdam: Elsevier. 835--883 (2002; Zbl 1002.35001) OpenURL
Karátson, J. Gradient method in Sobolev spaces for nonlocal boundary-value problems. (English) Zbl 0995.35020 Electron. J. Differ. Equ. 2000, Paper No. 51, 17 p. (2000). MSC: 35J65 46N20 46E35 90C99 PDF BibTeX XML Cite \textit{J. Karátson}, Electron. J. Differ. Equ. 2000, Paper No. 51, 17 p. (2000; Zbl 0995.35020) Full Text: EuDML EMIS OpenURL
Chiou, Suh-Wen Optimization of area traffic control for equilibrium network flows. (English) Zbl 1004.90014 Transp. Sci. 33, No. 3, 279-289 (1999). MSC: 90B20 90C52 90B80 90B40 58E35 91A40 90B10 PDF BibTeX XML Cite \textit{S.-W. Chiou}, Transp. Sci. 33, No. 3, 279--289 (1999; Zbl 1004.90014) Full Text: DOI OpenURL
Prytula, M. M.; Tavantzis, J.; Prykarpatskyj, A. K. A parametric gradient-holonomic algorithm in the integrability theory of inhomogeneous nonlinear dynamical systems. (English) Zbl 0921.58026 Dopov. Akad. Nauk Ukr. 1997, No. 1, 50-54 (1997). Reviewer: Valerie Samoilenko (Kyïv) MSC: 37J35 37K10 35Q53 35Q51 PDF BibTeX XML Cite \textit{M. M. Prytula} et al., Dopov. Akad. Nauk Ukr. 1997, No. 1, 50--54 (1997; Zbl 0921.58026) OpenURL
Prytula, M. M.; Tavantzis, J.; Prykarpatskyj, A. K. A parametric gradient-holonomic algorithm in the integrability theory of inhomogeneous nonlinear dynamic systems. (English) Zbl 0904.58034 Dopov. Akad. Nauk Ukr. 1997, No. 1, 50-54 (1997). Reviewer: Valerie Samoilenko (Kyïv) MSC: 37J35 37K10 35Q53 35Q51 PDF BibTeX XML Cite \textit{M. M. Prytula} et al., Dopov. Akad. Nauk Ukr. 1997, No. 1, 50--54 (1997; Zbl 0904.58034) OpenURL
Arian, Eyal; Ta’asan, Shlomo Shape optimization in one shot. (English) Zbl 0826.76076 Borggaard, Jeffrey (ed.) et al., Optimal design and control. Proceedings of the workshop on optimal design and control, Blacksburg, VA, USA, April 8-9, 1994. Boston, MA: Birkhäuser. Prog. Syst. Control Theory. 19, 23-40 (1995). MSC: 76M30 49Q10 49J20 65K10 PDF BibTeX XML Cite \textit{E. Arian} and \textit{S. Ta'asan}, in: Optimal design and control. Proceedings of the workshop on optimal design and control, Blacksburg, VA, USA, April 8-9, 1994. Boston, MA: Birkhäuser. 23--40 (1995; Zbl 0826.76076) OpenURL
Kang, Shinill; Zabaras, Nicholas Control of the freezing interface motion in two-dimensional solidification processes using the adjoint method. (English) Zbl 0826.76093 Int. J. Numer. Methods Eng. 38, No. 1, 63-80 (1995). Reviewer: D.Polisevski (Bucureşti) MSC: 76T99 76M30 80A22 PDF BibTeX XML Cite \textit{S. Kang} and \textit{N. Zabaras}, Int. J. Numer. Methods Eng. 38, No. 1, 63--80 (1995; Zbl 0826.76093) Full Text: DOI OpenURL
Smith, Steven T. Optimization techniques on Riemannian manifolds. (English) Zbl 0816.49032 Bloch, Anthony (ed.), Hamiltonian and gradient flows, algorithms and control. Providence, RI: American Mathematical Society. Fields Inst. Commun. 3, 113-136 (1994). Reviewer: Th.M.Rassias (Athens) MSC: 49Q20 58E30 34A34 49K10 PDF BibTeX XML Cite \textit{S. T. Smith}, Fields Inst. Commun. 3, 113--136 (1994; Zbl 0816.49032) Full Text: arXiv OpenURL
Tian, T.; Dunn, J. C. On the gradient projection method for optimal control problems with nonnegative \({\mathcal L}^ 2\) inputs. (English) Zbl 0874.49026 SIAM J. Control Optimization 32, No. 2, 516-537 (1994). Reviewer: W.Alt (MR 94m:49046) MSC: 90C52 49K15 65K10 90C06 PDF BibTeX XML Cite \textit{T. Tian} and \textit{J. C. Dunn}, SIAM J. Control Optim. 32, No. 2, 516--537 (1994; Zbl 0874.49026) Full Text: DOI OpenURL
Delfour, M. C.; Zolésio, J. P. Shape derivatives for nonsmooth domains. (English) Zbl 0792.49030 Optimal control of partial differential equations, Proc. IFIP Int. Conf, Irsee/Ger. 1990, Lect. Notes Control Inf. Sci. 149, 38-55 (1991). MSC: 49Q15 49J27 46N10 46G05 PDF BibTeX XML Cite \textit{M. C. Delfour} and \textit{J. P. Zolésio}, Lect. Notes Control Inf. Sci. 149, 38--55 (1991; Zbl 0792.49030) OpenURL
Sachs, Ekkehard W. Convergence of algorithms for perturbed optimization problems. (English) Zbl 0721.90080 Ann. Oper. Res. 27, 311-341 (1990). Reviewer: Z.Liu (Anshan) MSC: 90C48 90-08 49K40 90C31 PDF BibTeX XML Cite \textit{E. W. Sachs}, Ann. Oper. Res. 27, 311--341 (1990; Zbl 0721.90080) Full Text: DOI OpenURL
Roy, Swapna; Roy Chowdhury, A. On the Hamiltonian structure and generalised Lie-Bäcklund symmetries of Langmuir solitons. (English) Zbl 0697.35135 J. Phys. A 21, No. 5, L277-L281 (1988). MSC: 35Q99 37J35 37K10 PDF BibTeX XML Cite \textit{S. Roy} and \textit{A. Roy Chowdhury}, J. Phys. A, Math. Gen. 21, No. 5, L277--L281 (1988; Zbl 0697.35135) Full Text: DOI OpenURL
Sidorenko, Yu. N.; Prikarpatskij, A. K. Periodic problem for nonlinear Ablowitz model. (English. Russian original) Zbl 0793.35103 J. Sov. Math. 65, No. 6, 1921-1927 (1993); translation from Mat. Metody Fiz.-Mekh. Polya 25, 7-13 (1987). MSC: 35Q58 35B10 37J35 37K10 PDF BibTeX XML Cite \textit{Yu. N. Sidorenko} and \textit{A. K. Prikarpatskij}, J. Sov. Math. 65, No. 6, 1 (1987; Zbl 0793.35103); translation from Mat. Metody Fiz.-Mekh. Polya 25, 7--13 (1987) Full Text: DOI OpenURL
Sidorenko, Yu. N.; Prikarpatskij, A. K. Periodic problem for the nonlinear Ablowitz model. (Russian) Zbl 0674.35073 Mat. Metody Fiz.-Mekh. Polya 25, 7-13 (1987). Reviewer: O.Dumbrajs MSC: 35Q99 35B10 37J35 37K10 PDF BibTeX XML Cite \textit{Yu. N. Sidorenko} and \textit{A. K. Prikarpatskij}, Mat. Metody Fiz.-Mekh. Polya 25, 7--13 (1987; Zbl 0674.35073) OpenURL
Malivert, Christian A descent method for Pareto optimization. (English) Zbl 0499.49015 J. Math. Anal. Appl. 88, 610-631 (1982). MSC: 90C99 58E17 90C31 58E05 49J27 90C52 PDF BibTeX XML Cite \textit{C. Malivert}, J. Math. Anal. Appl. 88, 610--631 (1982; Zbl 0499.49015) Full Text: DOI OpenURL
Kratochvil, Alexander; Necas, Jindrich Gradient methods for the construction of Ljusternik-Schnirelmann critical values. (English) Zbl 0431.65045 RAIRO, Anal. Numér. 14, 43-54 (1980). MSC: 65J15 58E05 PDF BibTeX XML Cite \textit{A. Kratochvil} and \textit{J. Necas}, RAIRO, Anal. Numér. 14, 43--54 (1980; Zbl 0431.65045) Full Text: EuDML OpenURL
Vaĭnberg, M. M. Functional analysis. (Функциональный анализ.) (Russian) Zbl 0537.46002 Moskva: ”Prosveshchenie”. 128 p. R. 0.25 (1979). MSC: 46-01 47-01 47A05 46B03 46G05 47H05 47J25 65J15 47A10 46C05 47B15 47H09 46A03 46A08 PDF BibTeX XML OpenURL
Vasil’ev, O. V. Methods of optimization in function spaces. Textbook. (Metody optimizatsii v funktsional’nykh prostranstvakh. Uchebnoe posobie). (Russian) Zbl 0513.90050 Ministerstvo Vysshego i Srednego Spetsial’nogo Obrazovaniya RSFSR. Irkutsk: Irkutskij Gosudarstvennyj Universitet im. A. A. Zhdanova. 119 p. R. 0.30 (1979). MSC: 90C30 65K05 90-01 49-01 49J27 65K10 49M37 PDF BibTeX XML OpenURL