Bock, Hans Georg; Kostina, Ekaterina; Sauter, Marta; Schlöder, Johannes P.; Schlöder, Matthias Numerical methods for diagnosis and therapy design of cerebral palsy by bilevel optimal control of constrained biomechanical multi-body systems. (English) Zbl 1502.49035 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, 21-41 (2022). MSC: 49S05 92C32 49M37 65K10 92C10 49N45 PDFBibTeX XMLCite \textit{H. G. Bock} et al., ISNM, Int. Ser. Numer. Math. 172, 21--41 (2022; Zbl 1502.49035) Full Text: DOI
Bock, Hans Georg; Kirches, Christian; Meyer, Andreas; Potschka, Andreas Numerical solution of optimal control problems with explicit and implicit switches. (English) Zbl 1458.49024 Optim. Methods Softw. 33, No. 3, 450-474 (2018). MSC: 49M25 PDFBibTeX XMLCite \textit{H. G. Bock} et al., Optim. Methods Softw. 33, No. 3, 450--474 (2018; Zbl 1458.49024) Full Text: DOI
La, H. C.; Potschka, A.; Schlöder, J. P.; Bock, H. G. Dual control and online optimal experimental design. (English) Zbl 1372.49003 SIAM J. Sci. Comput. 39, No. 4, B640-B657 (2017). MSC: 49J15 62K05 90C29 49M29 PDFBibTeX XMLCite \textit{H. C. La} et al., SIAM J. Sci. Comput. 39, No. 4, B640--B657 (2017; Zbl 1372.49003) Full Text: DOI
Janka, Dennis; Körkel, Stefan; Bock, Hans Georg 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). MSC: 65L80 62K05 65L09 34A09 34A55 65K10 49J15 PDFBibTeX XMLCite \textit{D. Janka} et al., Contrib. Math. Comput. Sci. 9, 115--141 (2015; Zbl 1337.65108) Full Text: DOI
Behrens, Malte; Bock, Hans Georg; Engell, Sebastian; Khobkhun, Phawitphorn; Potschka, Andreas Real-time PDE constrained optimal control of a periodic multicomponent separation process. (English) Zbl 1322.49053 Leugering, Günter (ed.) et al., Trends in PDE constrained optimization. Cham: Birkhäuser/Springer (ISBN 978-3-319-05082-9/hbk; 978-3-319-05083-6/ebook). ISNM. International Series of Numerical Mathematics 165, 521-537 (2014). MSC: 49M30 49M15 49J20 49N90 65K10 92E20 35Q93 PDFBibTeX XMLCite \textit{M. Behrens} et al., ISNM, Int. Ser. Numer. Math. 165, 521--537 (2014; Zbl 1322.49053) Full Text: DOI
Beigel, Dörte; Mommer, Mario S.; Wirsching, Leonard; Bock, Hans Georg Approximation of weak adjoints by reverse automatic differentiation of BDF methods. (English) Zbl 1293.65101 Numer. Math. 126, No. 3, 383-412 (2014). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65L06 65L60 49K40 65L20 34A34 PDFBibTeX XMLCite \textit{D. Beigel} et al., Numer. Math. 126, No. 3, 383--412 (2014; Zbl 1293.65101) Full Text: DOI arXiv
Schmidt, Andreas; Potschka, Andreas; Körkel, Stefan; Bock, Hans Georg Derivative-extended POD reduced-order modeling for parameter estimation. (English) Zbl 1285.65039 SIAM J. Sci. Comput. 35, No. 6, A2696-A2717 (2013). MSC: 65K10 49J20 49M15 35K58 PDFBibTeX XMLCite \textit{A. Schmidt} et al., SIAM J. Sci. Comput. 35, No. 6, A2696--A2717 (2013; Zbl 1285.65039) Full Text: DOI
Bock, Hans Georg; Körkel, Stefan; Schlöder, Johannes P. 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). MSC: 65C60 62F10 65L80 65K10 49J15 49M15 62K05 PDFBibTeX XMLCite \textit{H. G. Bock} et al., Contrib. Math. Comput. Sci. 4, 1--30 (2013; Zbl 1269.65014) Full Text: DOI
Phu, H. X.; Bock, H. G. A common regularization for three reservoir optimal control problems. (English) Zbl 1266.49074 J. Optim. Theory Appl. 157, No. 1, 199-228 (2013). MSC: 49N90 49K40 PDFBibTeX XMLCite \textit{H. X. Phu} and \textit{H. G. Bock}, J. Optim. Theory Appl. 157, No. 1, 199--228 (2013; Zbl 1266.49074) Full Text: DOI
Bock, Hans Georg Carraro, Thomas (ed.); Jäger, Willi (ed.); Körkel, Stefan (ed.); Rannacher, Rolf (ed.); Schlöder, Johannes P. (ed.) Model based parameter estimation. Theory and applications. Based on the workshop on parameter estimation, Heidelberg, Germany, 2009. (English) Zbl 1261.65002 Contributions in Mathematical and Computational Sciences 4. Berlin: Springer (ISBN 978-3-642-30366-1/hbk; 978-3-642-30367-8/ebook). x, 334 p. (2013). MSC: 65-06 62-06 49-06 68-06 90-06 92-06 00A69 00B25 PDFBibTeX XMLCite \textit{H. G. Bock} et al., Model based parameter estimation. Theory and applications. Based on the workshop on parameter estimation, Heidelberg, Germany, 2009. Berlin: Springer (2013; Zbl 1261.65002) Full Text: DOI
Bock, Hans Georg; Potschka, Andreas; Sager, Sebastian; Schlöder, Johannes P. On the connection between forward and optimization problem in one-shot one-step methods. (English) Zbl 1356.49054 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, 37-49 (2012). MSC: 49M30 65K05 35Q93 49M05 PDFBibTeX XMLCite \textit{H. G. Bock} et al., ISNM, Int. Ser. Numer. Math. 160, 37--49 (2012; Zbl 1356.49054) Full Text: DOI
Hatz, Kathrin; Schlöder, Johannes P.; Bock, Hans Georg Estimating parameters in optimal control problems. (English) Zbl 1246.49024 SIAM J. Sci. Comput. 34, No. 3, A1707-A1728 (2012). MSC: 49K45 93E10 49K15 49M05 49M15 49N45 PDFBibTeX XMLCite \textit{K. Hatz} et al., SIAM J. Sci. Comput. 34, No. 3, A1707--A1728 (2012; Zbl 1246.49024) Full Text: DOI
Potschka, A.; Mommer, M. S.; Schlöder, J. P.; Bock, H. G. Newton-Picard-based preconditioning for linear-quadratic optimization problems with time-periodic parabolic PDE constraints. (English) Zbl 1266.65104 SIAM J. Sci. Comput. 34, No. 2, A1214-A1239 (2012). Reviewer: John T. Coletsos (Athens) MSC: 65K10 65F08 49J20 49N10 49M15 PDFBibTeX XMLCite \textit{A. Potschka} et al., SIAM J. Sci. Comput. 34, No. 2, A1214--A1239 (2012; Zbl 1266.65104) Full Text: DOI
Sager, Sebastian; Bock, Hans Georg; Diehl, Moritz The integer approximation error in mixed-integer optimal control. (English) Zbl 1259.90077 Math. Program. 133, No. 1-2 (A), 1-23 (2012). Reviewer: Petrica Pop (Baia Mare) MSC: 90C11 49J30 PDFBibTeX XMLCite \textit{S. Sager} et al., Math. Program. 133, No. 1--2 (A), 1--23 (2012; Zbl 1259.90077) Full Text: DOI
Kirches, Christian; Bock, Hans Georg; Schlöder, Johannes P.; Sager, Sebastian Block-structured quadratic programming for the direct multiple shooting method for optimal control. (English) Zbl 1226.90139 Optim. Methods Softw. 26, No. 2, 239-257 (2011). MSC: 90C55 90C20 49M25 PDFBibTeX XMLCite \textit{C. Kirches} et al., Optim. Methods Softw. 26, No. 2, 239--257 (2011; Zbl 1226.90139) Full Text: DOI
Kirches, Christian; Sager, Sebastian; Bock, Hans Georg; Schlöder, Johannes P. Time-optimal control of automobile test drives with gear shifts. (English) Zbl 1204.49033 Optim. Control Appl. Methods 31, No. 2, 137-153 (2010). MSC: 49M37 90C11 93A30 90C57 PDFBibTeX XMLCite \textit{C. Kirches} et al., Optim. Control Appl. Methods 31, No. 2, 137--153 (2010; Zbl 1204.49033) Full Text: DOI
Diehl, Moritz; Walther, Andrea; Bock, Hans Georg; Kostina, Ekaterina An adjoint-based SQP algorithm with quasi-Newton Jacobian updates for inequality constrained optimization. (English) Zbl 1197.49034 Optim. Methods Softw. 25, No. 4, 531-552 (2010). MSC: 49M37 90C53 65K05 49M05 49N10 PDFBibTeX XMLCite \textit{M. Diehl} et al., Optim. Methods Softw. 25, No. 4, 531--552 (2010; Zbl 1197.49034) Full Text: DOI
Sager, Sebastian; Bock, Hans Georg; Reinelt, Gerhard Direct methods with maximal lower bound for mixed-integer optimal control problems. (English) Zbl 1160.49032 Math. Program. 118, No. 1 (A), 109-149 (2009). MSC: 49M25 90C11 PDFBibTeX XMLCite \textit{S. Sager} et al., Math. Program. 118, No. 1 (A), 109--149 (2009; Zbl 1160.49032) Full Text: DOI
Potschka, Andreas; Bock, Hans Georg; Schlöder, Johannes P. 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 Optim. Methods Softw. 24, No. 2, 237-252 (2009). MSC: 49J15 65K05 78M50 90C34 PDFBibTeX XMLCite \textit{A. Potschka} et al., Optim. Methods Softw. 24, No. 2, 237--252 (2009; Zbl 1286.49005) Full Text: DOI
Bock, H. G.; Körkel, S.; Kostina, E.; Schlöder, J. P. Robustness aspects in parameter estimation, optimal design of experiments and optimal control. (English) Zbl 1398.62208 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). 117-146 (2007). MSC: 62K05 62P10 49N45 PDFBibTeX XMLCite \textit{H. G. Bock} et al., in: 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. 117--146 (2007; Zbl 1398.62208) Full Text: DOI
Sager, Sebastian; Bock, Hans Georg; Diehl, Moritz; Reinelt, Gerhard; Schlöder, Johannes P. Numerical methods for optimal control with binary control functions applied to a Lotka-Volterra type fishing problem. (English) Zbl 1107.49023 Seeger, Alberto (ed.), Recent advances in optimization. Proceedings of the twelfth French-German-Spanish conference on optimization, Avignon, France, September 20–24, 2004. Berlin: Springer (ISBN 3-540-28257-2/pbk). Lecture Notes in Economics and Mathematical Systems 563, 269-289 (2006). Reviewer: Karel Zimmermann (Praha) MSC: 49M30 49M37 PDFBibTeX XMLCite \textit{S. Sager} et al., Lect. Notes Econ. Math. Syst. 563, 269--289 (2006; Zbl 1107.49023)
Diehl, Moritz; Bock, Hans Georg; Kostina, Ekaterina An approximation technique for robust nonlinear optimization. (English) Zbl 1134.90039 Math. Program. 107, No. 1-2 (B), 213-230 (2006). MSC: 90C30 49K15 49K40 90C31 PDFBibTeX XMLCite \textit{M. Diehl} et al., Math. Program. 107, No. 1--2 (B), 213--230 (2006; Zbl 1134.90039) Full Text: DOI Link
Schäfer, Andreas; Brandt-Pollmann, Ulrich; Diehl, Moritz; Bock, Hans-Georg; Schlöder, Johannes P. Fast optimal control algorithms with application to chemical engineering. (English) Zbl 1060.65086 Ahr, Dino (ed.) et al., Operations research. Proceedings 2003. Selected papers of the international conference on operations research (OR 2003), Heidelberg, Germany, September 3–5, 2003. Berlin: Springer (ISBN 3-540-21445-3/pbk). 300-307 (2004). MSC: 65L80 49M25 90C55 PDFBibTeX XMLCite \textit{A. Schäfer} et al., in: Operations research. Proceedings 2003. Selected papers of the international conference on operations research (OR 2003), Heidelberg, Germany, September 3--5, 2003. Berlin: Springer. 300--307 (2004; Zbl 1060.65086)
Körkel, Stefan; Kostina, Ekaterina; Bock, Hans Georg; Schlöder, Johannes P. Numerical methods for optimal control problems in design of robust optimal experiments for nonlinear dynamic processes. (English) Zbl 1060.49025 Optim. Methods Softw. 19, No. 3-4, 327-338 (2004). MSC: 49M37 93B40 93B51 93C15 65K10 PDFBibTeX XMLCite \textit{S. Körkel} et al., Optim. Methods Softw. 19, No. 3--4, 327--338 (2004; Zbl 1060.49025) Full Text: DOI
Bock, Hans Georg; Longman, Richard W.; Schlöder, Johannes P.; Winckler, Michael J. Synthesis of automotive cams using multiple shooting-SQP methods for constrained optimization. (English) Zbl 1045.65055 Jäger, Willi (ed.) et al., Mathematics – key technology for the future. Joint projects between universities and industry. Berlin: Springer (ISBN 3-540-44220-0/hbk). 3-21 (2003). MSC: 65K10 49J15 49M37 70Q05 PDFBibTeX XMLCite \textit{H. G. Bock} et al., in: Mathematics -- key technology for the future. Joint projects between universities and industry. Berlin: Springer. 3--21 (2003; Zbl 1045.65055)
Bock, Hans Georg; Egartner, Wolfgang; Kappis, Wolfgang; Schulz, Volker Practical shape optimization for turbine and compressor blades by the use of PRSQP methods. (English) Zbl 1079.90623 Optim. Eng. 3, No. 4, 395-414 (2002). MSC: 90C90 49Q10 PDFBibTeX XMLCite \textit{H. G. Bock} et al., Optim. Eng. 3, No. 4, 395--414 (2002; Zbl 1079.90623) Full Text: DOI
Bock, H. Georg; Kostina, Ekaterina; Schlöder, Johannes P. On the role of natural level functions to achieve global convergence for damped Newton methods. (English) Zbl 0982.65068 Powell, M. J. D. et al., System modelling and optimization. Methods, theory and applications. 19th IFIP TC7 conference, Cambridge, GB, July 12-16, 1999. Boston: Kluwer Academic Publishers. IFIP, Int. Fed. Inf. Process. 46, 51-74 (2000). MSC: 65H10 49M15 34A55 PDFBibTeX XMLCite \textit{H. G. Bock} et al., IFIP, Int. Fed. Inf. Process. 46, 51--74 (2000; Zbl 0982.65068)
Bauer, Irene; Bock, Hans Georg; Körkel, Stefan; Schlöder, Johannes P. Numerical methods for optimum experimental design in DAE systems. (English) Zbl 0998.65083 J. Comput. Appl. Math. 120, No. 1-2, 1-25 (2000). MSC: 65L80 34A09 65L09 34A55 62K05 65C60 65K10 80A30 49J15 49M37 PDFBibTeX XMLCite \textit{I. Bauer} et al., J. Comput. Appl. Math. 120, No. 1--2, 1--25 (2000; Zbl 0998.65083) Full Text: DOI
Hoang Xuan Phu; Bock, Hans Georg; Schlöder, Johannes P. The method of orienting curves and its application to manipulator trajectory planning. (English) Zbl 0881.70006 Numer. Funct. Anal. Optimization 18, No. 1-2, 213-225 (1997). MSC: 70B15 70Q05 49J15 PDFBibTeX XMLCite \textit{Hoang Xuan Phu} et al., Numer. Funct. Anal. Optim. 18, No. 1--2, 213--225 (1997; Zbl 0881.70006) Full Text: DOI
Steinbach, M. C.; Bock, H. G.; Longman, R. W. Time-optimal extension and retraction of robots: Numerical analysis of the switching structure. (English) Zbl 0822.93050 J. Optimization Theory Appl. 84, No. 3, 589-616 (1995). MSC: 93C85 49N99 PDFBibTeX XMLCite \textit{M. C. Steinbach} et al., J. Optim. Theory Appl. 84, No. 3, 589--616 (1995; Zbl 0822.93050) Full Text: DOI
Phu, H. X.; Bock, H. G.; Schlöder, J. P. Extremal solutions of some constrained control problems. (English) Zbl 0893.49016 Optimization 35, No. 4, 345-355 (1995). MSC: 49K15 49N99 90B05 70B15 70Q05 93C95 PDFBibTeX XMLCite \textit{H. X. Phu} et al., Optimization 35, No. 4, 345--355 (1995; Zbl 0893.49016) Full Text: DOI
Sachs, G.; Lesch, K.; Bock, H. G.; Steinbach, M. Periodic optimal trajectories with singular control for aircraft with high aerodynamic efficiency. (English) Zbl 0790.93105 Bulirsch, R. (ed.) et al., Optimal control. Calculus of variations, optimal control theory and numerical methods. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 111, 289-304 (1993). MSC: 93C95 49J15 PDFBibTeX XMLCite \textit{G. Sachs} et al., ISNM, Int. Ser. Numer. Math. 111, 289--304 (1993; Zbl 0790.93105)
Bock, H. G. Numerical solution of nonlinear multipoint boundary value problems with applications to optimal control. (English) Zbl 0383.65053 Z. angew. Math. Mech. 58, T407-T409 (1978). MSC: 65L10 49M30 34B10 PDFBibTeX XMLCite \textit{H. G. Bock}, Z. Angew. Math. Mech. 58, T407--T409 (1978; Zbl 0383.65053)
Bock, H. G. Zur numerischen Behandlung zustandsbeschränkter Steuerungsprobleme mit Mehrzielmethode und Homotopieverfahren. (German) Zbl 0363.65070 Z. angew. Math. Mech. 57, T266-T268 (1977). MSC: 65L10 49K15 49M99 PDFBibTeX XMLCite \textit{H. G. Bock}, Z. Angew. Math. Mech. 57, T266--T268 (1977; Zbl 0363.65070)