Found 354 Documents (Results 1–100)
Low-energy Earth-Moon transfers via theory of functional connections and homotopy. (English) Zbl 07881851
Parallel-in-time multiple shooting for optimal control problems governed by the Navier-Stokes equations. (English) Zbl 1532.49029
A two-parameter multiple shooting method and its application to the natural vibrations of non-prismatic multi-segment beams. (English) Zbl 1537.74100
Parallel solution of optimal control problems using the graphics processing unit. (English) Zbl 1531.49022
MSC:
49K10
Efficient numerical pricing of American options based on multiple shooting method: a PDE approach. (English) Zbl 1531.91270
Single-stage to orbit ascent trajectory optimisation with reliable evolutionary initial guess. (English) Zbl 1520.49014
On general families of multipoint iterations by inverse interpolation and their applications. (English) Zbl 07698148
An SQP-based multiple shooting algorithm for large-scale PDE-constrained optimal control problems. (English) Zbl 07652818
Optimization of CSTR using infinite horizon model predictive control with setpoint tracking and with input targets and control zones. (English) Zbl 1508.93092
Zattoni, Elena (ed.) et al., 15th European workshop on advanced control and diagnosis, ACD 2019. Proceedings of the workshop, Bologna, Italy, November 21–22, 2019. Cham: Springer. Lect. Notes Control Inf. Sci. – Proc., 755-776 (2022).
The web of resonant periodic orbits in the Earth-Moon quasi-bicircular problem including solar radiation pressure. (English) Zbl 1508.70021
A parallel-in-time multiple shooting algorithm for large-scale PDE-constrained optimal control problems. (English) Zbl 07517750
Adjoint-based SQP method with block-wise quasi-Newton Jacobian updates for nonlinear optimal control. (English) Zbl 1491.49015
A modified multiple shooting algorithm for parameter estimation in ODEs using adjoint sensitivity analysis. (English) Zbl 1508.65085
Efficient move blocking strategy for multiple shooting-based non-linear model predictive control. (English) Zbl 07907062
Existence proof of unimodal solutions of the Proudman-Johnson equation via interval analysis. (English) Zbl 1410.76332
Adaptive multiple shooting for nonlinear boundary value problems. (English) Zbl 1431.65113
Radu, Florin Adrian (ed.) et al., Numerical mathematics and advanced applications. ENUMATH 2017. Selected papers based on the presentations at the European conference, Bergen, Norway, September 25–29, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 126, 951-959 (2018).
Computing approximately shortest descending paths on convex terrains via multiple shooting. (English) Zbl 1413.68160
Global optimal control with the direct multiple shooting method. (English) Zbl 1402.49005
Reviewer: Ctirad Matonoha (Prague)
Study of predictor corrector block method via multiple shooting to Blasius and Sakiadis flow. (English) Zbl 1426.76553
High-order parameterization of stable/unstable manifolds for long periodic orbits of maps. (English) Zbl 1378.37057
An adaptive algorithm for solving stochastic multi-point boundary value problems. (English) Zbl 1362.65009
Multiple shooting approach for computing approximately shortest paths on convex polytopes. (English) Zbl 1357.65024
Numerical simulation methods for embedded optimization. (English) Zbl 1356.65158
Leuven: KU Leuven, Arenberg Doctoral Shool, Faculty of Engineering Science; Freiburg: Univ. Freiburg, Faculty of Mathematics and Physics (Diss. 2016). xxv, 293 p. (2017).
Multiple shooting-local linearization method for the identification of dynamical systems. (English) Zbl 1473.65086
A limited-memory multiple shooting method for weakly constrained variational data assimilation. (English) Zbl 1351.62178
Inverse problem studies of biochemical systems with structure identification of S-systems by embedding training functions in a genetic algorithm. (English) Zbl 1338.92040
Multiple shooting in a microsecond. (English) Zbl 1337.65055
Carraro, Thomas (ed.) et al., Multiple shooting and time domain decomposition methods. MuS-TDD, Heidelberg, Germany, May 6–8, 2013. Cham: Springer (ISBN 978-3-319-23320-8/hbk; 978-3-319-23321-5/ebook). Contributions in Mathematical and Computational Sciences 9, 183-201 (2015).
Direct multiple shooting for parabolic PDE constrained optimization. (English) Zbl 1337.65054
Carraro, Thomas (ed.) et al., Multiple shooting and time domain decomposition methods. MuS-TDD, Heidelberg, Germany, May 6–8, 2013. Cham: Springer (ISBN 978-3-319-23320-8/hbk; 978-3-319-23321-5/ebook). Contributions in Mathematical and Computational Sciences 9, 159-181 (2015).
Parameter estimation for high-dimensional PDE models using a reduced approach. (English) Zbl 1337.65126
Carraro, Thomas (ed.) et al., Multiple shooting and time domain decomposition methods. MuS-TDD, Heidelberg, Germany, May 6–8, 2013. Cham: Springer (ISBN 978-3-319-23320-8/hbk; 978-3-319-23321-5/ebook). Contributions in Mathematical and Computational Sciences 9, 143-157 (2015).
Direct multiple shooting for nonlinear optimum experimental design. (English) Zbl 1337.65108
Carraro, Thomas (ed.) et al., Multiple shooting and time domain decomposition methods. MuS-TDD, Heidelberg, Germany, May 6–8, 2013. Cham: Springer (ISBN 978-3-319-23320-8/hbk; 978-3-319-23321-5/ebook). Contributions in Mathematical and Computational Sciences 9, 115-141 (2015).
50 years of time parallel time integration. (English) Zbl 1337.65127
Carraro, Thomas (ed.) et al., Multiple shooting and time domain decomposition methods. MuS-TDD, Heidelberg, Germany, May 6–8, 2013. Cham: Springer (ISBN 978-3-319-23320-8/hbk; 978-3-319-23321-5/ebook). Contributions in Mathematical and Computational Sciences 9, 69-113 (2015).
Direct and indirect multiple shooting for parabolic optimal control problems. (English) Zbl 1337.65051
Carraro, Thomas (ed.) et al., Multiple shooting and time domain decomposition methods. MuS-TDD, Heidelberg, Germany, May 6–8, 2013. Cham: Springer (ISBN 978-3-319-23320-8/hbk; 978-3-319-23321-5/ebook). Contributions in Mathematical and Computational Sciences 9, 35-67 (2015).
Direct multiple shooting and generalized Gauss-Newton method for parameter estimation problems in ODE models. (English) Zbl 1337.65081
Carraro, Thomas (ed.) et al., Multiple shooting and time domain decomposition methods. MuS-TDD, Heidelberg, Germany, May 6–8, 2013. Cham: Springer (ISBN 978-3-319-23320-8/hbk; 978-3-319-23321-5/ebook). Contributions in Mathematical and Computational Sciences 9, 1-34 (2015).
Sequential quadratic programming with indefinite Hessian approximations for nonlinear optimum experimental design for parameter estimation in differential-algebraic equations. (English) Zbl 1326.65076
Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.). 222 p. (2015).
Adaptive multiple shooting for boundary value problems and constrained parabolic optimization problems. (English) Zbl 1326.49001
Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.). iv, 190 p. (2015).
Reviewer: John T. Coletsos (Athens)
Numerical solution of a pursuit-evasion differential game involving two spacecraft in low earth orbit. (English) Zbl 1315.49015
Structure exploiting parameter estimation and optimum experimental design methods and applications in microbial enhanced oil recovery. (English) Zbl 1318.65067
Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.). vi, 122 p. (2015).
A shooting reproducing kernel Hilbert space method for multiple solutions of nonlinear boundary value problems. (English) Zbl 1306.65231
Indirect multiple shooting for nonlinear parabolic optimal control problems with control constraints. (English) Zbl 1294.49017
Efficient numerical methods for hierarchical dynamic optimization with application to cerebral palsy gait modeling. (English) Zbl 1290.65052
Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.). 286 p. (2014).
A direct method for parabolic PDE constrained optimization problems. (English) Zbl 1293.49002
Advances in Numerical Mathematics. Wiesbaden: Springer Spektrum (ISBN 978-3-658-04475-6/pbk; 978-3-658-04476-3/ebook). xiv, 216 p. (2014).
Reviewer: Ctirad Matonoha (Prague)
Trajectory optimization for launchers and re-entry vehicles. (English) Zbl 1365.70034
Fasano, Giorgio (ed.) et al., Modeling and optimization in space engineering. New York, NY: Springer (ISBN 978-1-4614-4468-8/hbk; 978-1-4614-4469-5/ebook). Springer Optimization and Its Applications 73, 159-185 (2013).
Long-term rigorous numerical integration of Navier-Stokes equation by Newton-GMRES iteration. (English) Zbl 1299.76186
MSC:
76M25
76D05
Analysis of two parareal algorithms for time-periodic problems. (English) Zbl 1283.65077
Reviewer: Răzvan Răducanu (Iaşi)
The solution of the boundary-value problems for the simulation of transition of protein conformation. (English) Zbl 1275.92021
A statistical model and estimation of disease rates as functions of age and time. (English) Zbl 1266.65011
MSC:
65C60
Parameter estimation and optimum experimental design for differential equation models. (English) Zbl 1269.65014
Bock, Hans Georg (ed.) et al., Model based parameter estimation. Theory and applications. Based on the workshop on parameter estimation, Heidelberg, Germany, 2009. Berlin: Springer (ISBN 978-3-642-30366-1/hbk; 978-3-642-30367-8/ebook). Contributions in Mathematical and Computational Sciences 4, 1-30 (2013).
Minimizing the fuel consumption of a vehicle from the shell eco-marathon: a numerical study. (English) Zbl 1263.49034
Direct multiple shooting method for solving approximate shortest path problems. (English) Zbl 1267.65073
Reviewer: Hans Benker (Merseburg)
Optimization of simulated moving bed processes. (English) Zbl 1356.49062
Leugering, Günter (ed.) et al., Constrained optimization and optimal control for partial differential equations. Basel: Birkhäuser (ISBN 978-3-0348-0132-4/hbk; 978-3-0348-0133-1/ebook). ISNM. International Series of Numerical Mathematics 160, 573-596 (2012).
A parareal algorithm based on waveform relaxation. (English) Zbl 1256.65071
Reviewer: Rémi Vaillancourt (Ottawa)
The Lie-group shooting method for solving multi-dimensional nonlinear boundary value problems. (English) Zbl 1237.49042
Fast numerical methods for mixed-integer nonlinear model-predictive control. (English) Zbl 1312.65101
Advances in Numerical Mathematics. Wiesbaden: Vieweg+Teubner; Heidelberg: Univ. Heidelberg (Diss.) (ISBN 978-3-8348-1572-9/pbk; 978-3-8348-8202-8/ebook). xx, 367 p. (2011).
Reviewer: Ctirad Matonoha (Prague)
An inverse optimal control approach to human motion modeling. (English) Zbl 1250.49037
Pradalier, Cédric (ed.) et al., Robotics research. The 14th international symposium ISRR. Selected papers based on the presentations at the symposium, Lucerne, Switzerland, August 31st to September 3rd, 2009. Berlin: Springer (ISBN 978-3-642-19456-6/hbk; 978-3-642-19457-3/ebook). Springer Tracts in Advanced Robotics 70, 451-468 (2011).
Block-structured quadratic programming for the direct multiple shooting method for optimal control. (English) Zbl 1226.90139
An analytic shooting-like approach for the solution of nonlinear boundary value problems. (English) Zbl 1219.65073
MSC:
65L10
Optimal control for selected cancer chemotherapy ODE models: a view on the potential of optimal schedules and choice of objective function. (English) Zbl 1208.92028
Analysis of block parareal preconditioners for parabolic optimal control problems. (English) Zbl 1216.49027
Adjoint-based algorithms and numerical methods for sensitivity generation and optimization of large scale dynamic systems. (English) Zbl 1210.65003
Heidelberg: Univ. Hidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.). x, 296 p. (2010).
Continuous and discrete composite adjoints for the Hessian of the Lagrangian in shooting algorithms for dynamic optimization. (English) Zbl 1203.49050
Minimal curvature trajectories: Riemannian geometry concepts for slow manifold computation in chemical kinetics. (English) Zbl 1197.65070
MSC:
65K10
Variants of Steffensen-Secant method and applications. (English) Zbl 1200.65036
Reviewer: Alyson Reeves (Bowie)
Validity and accuracy of solutions for nonlinear vibration analyses of suspended cables with one-to-one internal resonance. (English) Zbl 1194.35251
A numerical evaluation of solvers for the periodic Riccati differential equation. (English) Zbl 1192.65096
Existence of multiple positive solutions of singular nonlinear boundary value problems. (English) Zbl 1197.34034
On the multiple shooting continuation of periodic orbits by Newton-Krylov methods. (English) Zbl 1183.34056
Fast nonlinear model predictive control with an application in automotive engineering. (English) Zbl 1195.93036
Magni, Lalo (ed.) et al., Nonlinear model predictive control. Towards new challenging applications. Selected papers based on the presentations at the international workshop on assessment and future directions of nonlinear model predictive control (NMPC08), Pavia, Italy, September 5–9, 2008. Berlin: Springer (ISBN 978-3-642-01093-4/hbk; 978-3-642-01094-1/ebook). Lecture Notes in Control and Information Sciences 384, 471-480 (2009).
Mesh adaptive multiple shooting for partial differential equations. I: Linear quadratic optimal control problems. (English) Zbl 1177.65092
A minima tracking variant of semi-infinite programming for the treatment of path constraints within direct solution of optimal control problems. (English) Zbl 1286.49005
Adaptive control vector parameterization for nonlinear model-predictive control. (English) Zbl 1284.93128
MSC:
93C40
93B40
The Lie-group shooting method for multiple-solutions of Falkner-Skan equation under suction-injection conditions. (English) Zbl 1203.74146
MSC:
74S30
Leapfrog for optimal control. (English) Zbl 1178.49040
Qualitative behavior and computation of multiple solutions of singular nonlinear boundary value problems. (English) Zbl 1151.34309
Multiple set point partially reduced SQP method for optimal control of PDE. (English) Zbl 1398.76197
Jäger, Willi (ed.) et al., Reactive flows, diffusion and transport. From experiments via mathematical modeling to numerical simulation and optimization. Final report of SFB (Collaborative Research Center) 359. Berlin: Springer (ISBN 3-540-28379-X/hbk). 147-175 (2007).
Real-time implementation of nonlinear model predictive control of batch processes in an industrial framework. (English) Zbl 1223.93046
Findeisen, Rolf (ed.) et al., Assessment and future directions of nonlinear model predictive control. Selected papers based on the presentations at the workshop (NMPC05), Freudenstadt-Lauterbad, Germany, August 26–30, 2005. Berlin: Springer (ISBN 978-3-540-72698-2/pbk). Lecture Notes in Control and Information Sciences 358, 465-472 (2007).
Optimal control of self-organized dynamics in cellular signal transduction. (English) Zbl 1130.37041
Periodic orbit continuation in multiple time scale systems. (English) Zbl 1126.65109
Krauskopf, Bernd (ed.) et al., Numerical continuation methods for dynamical systems. Path following and boundary value problems. Dordrecht: Springer (ISBN 978-1-4020-6355-8/hbk). Understanding Complex Systems, 253-267 (2007).
The Lie-group shooting method for nonlinear two-point boundary value problems exhibiting multiple solutions. (English) Zbl 1232.65108
MSC:
65L10
On non-linear vibration analyses of continuous systems with quadratic and cubic non-linearities. (English) Zbl 1160.70359
MSC:
70L05
A reduced input/output dynamic optimisation method for macroscopic and microscopic systems. (English) Zbl 1142.90036
Gorban, Alexander N. (ed.) et al., Model reduction and coarse-graining approaches for multiscale phenomena. Selected papers from the workshop held at the University of Leicester, Leicester, UK, August 24–26, 2005. Berlin: Springer (ISBN 3-540-35885-4/hbk). 535-560 (2006).
MSC:
90C39
Qualitative behavior and computation of multiple solutions of nonlinear boundary value problems. (English) Zbl 1151.34014
Reviewer: M. Plum (Karlsruhe)
The shooting method and multiple solutions of two/multi-point BVPs of second-order ODE. (English) Zbl 1117.34011
Reviewer: Wei Nian Li (Binzhou)
Aero-gravity assist maneuvers: controlled dynamics modeling and optimization. (English) Zbl 1219.70064
Optimization of multiple setpoint problems with application to vehicle models. (Optimierung von dynamischen Multiple-Setpoint-Problemen mit Anwendung bei Fahrzeugmodellen.) (German) Zbl 1104.65070
Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Dissertation). 135 p. (2006).
Efficient object-oriented modelling, simulation and parameter for biomechanical problems. (English) Zbl 1101.65080
Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.). x, 188 p. (2006).
Numerical methods for mixed-integer optimal control problems. (English) Zbl 1094.65512
Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.). viii, 219 p. (2006).
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