Edit Profile (opens in new tab) Lempio, Frank Co-Author Distance Author ID: lempio.frank Published as: Lempio, F.; Lempio, Frank Documents Indexed: 33 Publications since 1971, including 1 Book Co-Authors: 10 Co-Authors with 15 Joint Publications 279 Co-Co-Authors all top 5 Co-Authors 17 single-authored 5 Baier, Robert 3 Gerdts, Matthias 2 Alt, Walter 2 Maurer, Helmut 2 Osmolovskiĭ, Nikolaĭ Pavlovich 2 Veliov, Vladimir M. 1 Chahma, Ilyes Aïssa 1 Dontchev, Asen L. 1 Kastner-Maresch, Alois E. 1 Zowe, Jochem all top 5 Serials 4 Bayreuther Mathematische Schriften 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Applied Mathematics and Optimization 1 Computing 1 Differential Equations 1 Numerical Functional Analysis and Optimization 1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik 1 Optimization 1 SIAM Review 1 SIAM Journal on Optimization 1 Set-Valued Analysis 1 Journal of Mathematical Sciences (New York) 1 Numerical Algebra, Control and Optimization 1 De Gruyter Studium all top 5 Fields 15 Calculus of variations and optimal control; optimization (49-XX) 15 Numerical analysis (65-XX) 13 Operations research, mathematical programming (90-XX) 12 Ordinary differential equations (34-XX) 6 Systems theory; control (93-XX) 2 Functional analysis (46-XX) 2 Convex and discrete geometry (52-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 25 Publications have been cited 352 times in 251 Documents Cited by ▼ Year ▼ Difference methods for differential inclusions: A survey. Zbl 0757.34018 Dontchev, Asen; Lempio, Frank 101 1992 Discrete approximations of differential inclusions. Zbl 0922.65059 Lempio, Frank; Veliov, Vladimir 42 1998 Error bounds for Euler approximation of linear-quadratic control problems with bang-bang solutions. Zbl 1259.49003 Alt, Walter; Baier, Robert; Gerdts, Matthias; Lempio, Frank 37 2012 Differential stability in infinite-dimensional nonlinear programming. Zbl 0426.90072 Lempio, F.; Maurer, H. 35 1980 Approximations of linear control problems with bang-bang solutions. Zbl 1263.49028 Alt, Walter; Baier, Robert; Lempio, Frank; Gerdts, Matthias 29 2013 Stability and convergence of Euler’s method for state-constrained differential inclusions. Zbl 1262.34021 Baier, Robert; Chahma, Ilyes Aïssa; Lempio, Frank 16 2007 Computing Aumann’s integral. Zbl 0828.65021 Baier, R.; Lempio, F. 13 1994 Difference methods with selection strategies for differential inclusions. Zbl 0807.65085 Kastner-Maresch, Alois; Lempio, Frank 13 1993 Transformation of quadratic forms to perfect squares for broken extremals. Zbl 1050.49016 Osmolovskii, Nikolai P.; Lempio, Frank 10 2002 Difference methods for differential inclusions. Zbl 0762.65042 Lempio, Frank 7 1992 Euler’s method revisited. Zbl 0872.65075 Lempio, F. 7 1995 Discrete approximations of differential inclusions. Zbl 1049.65519 Lempio, F.; Veliov, V. 7 1998 Jacobi conditions and the Riccati equation for a broken extremal. Zbl 0968.49016 Osmolovskii, N. P.; Lempio, F. 6 1998 Higher order optimality conditions. Zbl 0506.90089 Lempio, F.; Zowe, J. 5 1982 Lineare Optimierung in unendlichdimensionalen Vektorräumen. Zbl 0243.90020 Lempio, Frank 4 1971 Set-valued interpolation, differential inclusions, and sensitivity in optimzation. Zbl 0868.34011 Lempio, F. 3 1995 Modified Euler methods for differential inclusions. Zbl 0788.34008 Lempio, Frank 3 1993 Differenzierbare Optimierung mit unendlich vielen Nebenbedingungen. Zbl 0248.90051 Lempio, F. 3 1972 Mathematical optimization procedures of operations research. (Mathematische Optimierungsverfahren des Operations Research.) Zbl 1226.90001 Gerdts, Matthias; Lempio, Frank 2 2011 Approximating reachable sets by extrapolation methods. Zbl 0813.65099 Baier, R.; Lempio, F. 2 1994 Bemerkungen zur Lagrangeschen Funktionaldifferentialgleichung. Zbl 0286.90055 Lempio, F. 2 1974 Eine Verallgemeinerung des Satzes von Fritz John. Zbl 0316.90058 Lempio, F. 1 1973 Differentiable perturbations of infinite optimization problems. Zbl 0404.90089 Lempio, F.; Maurer, H. 1 1978 Numerical mathematics. II: Methods of analysis. (Numerische Mathematik. II: Methoden der Analysis.) Zbl 0911.65001 Lempio, Frank 1 1998 Generalized differential equations with strongly one-sided Lipschitzian right-hand side. Zbl 0903.34015 Lempio, F.; Silin, D. B. 1 1996 Approximations of linear control problems with bang-bang solutions. Zbl 1263.49028 Alt, Walter; Baier, Robert; Lempio, Frank; Gerdts, Matthias 29 2013 Error bounds for Euler approximation of linear-quadratic control problems with bang-bang solutions. Zbl 1259.49003 Alt, Walter; Baier, Robert; Gerdts, Matthias; Lempio, Frank 37 2012 Mathematical optimization procedures of operations research. (Mathematische Optimierungsverfahren des Operations Research.) Zbl 1226.90001 Gerdts, Matthias; Lempio, Frank 2 2011 Stability and convergence of Euler’s method for state-constrained differential inclusions. Zbl 1262.34021 Baier, Robert; Chahma, Ilyes Aïssa; Lempio, Frank 16 2007 Transformation of quadratic forms to perfect squares for broken extremals. Zbl 1050.49016 Osmolovskii, Nikolai P.; Lempio, Frank 10 2002 Discrete approximations of differential inclusions. Zbl 0922.65059 Lempio, Frank; Veliov, Vladimir 42 1998 Discrete approximations of differential inclusions. Zbl 1049.65519 Lempio, F.; Veliov, V. 7 1998 Jacobi conditions and the Riccati equation for a broken extremal. Zbl 0968.49016 Osmolovskii, N. P.; Lempio, F. 6 1998 Numerical mathematics. II: Methods of analysis. (Numerische Mathematik. II: Methoden der Analysis.) Zbl 0911.65001 Lempio, Frank 1 1998 Generalized differential equations with strongly one-sided Lipschitzian right-hand side. Zbl 0903.34015 Lempio, F.; Silin, D. B. 1 1996 Euler’s method revisited. Zbl 0872.65075 Lempio, F. 7 1995 Set-valued interpolation, differential inclusions, and sensitivity in optimzation. Zbl 0868.34011 Lempio, F. 3 1995 Computing Aumann’s integral. Zbl 0828.65021 Baier, R.; Lempio, F. 13 1994 Approximating reachable sets by extrapolation methods. Zbl 0813.65099 Baier, R.; Lempio, F. 2 1994 Difference methods with selection strategies for differential inclusions. Zbl 0807.65085 Kastner-Maresch, Alois; Lempio, Frank 13 1993 Modified Euler methods for differential inclusions. Zbl 0788.34008 Lempio, Frank 3 1993 Difference methods for differential inclusions: A survey. Zbl 0757.34018 Dontchev, Asen; Lempio, Frank 101 1992 Difference methods for differential inclusions. Zbl 0762.65042 Lempio, Frank 7 1992 Higher order optimality conditions. Zbl 0506.90089 Lempio, F.; Zowe, J. 5 1982 Differential stability in infinite-dimensional nonlinear programming. Zbl 0426.90072 Lempio, F.; Maurer, H. 35 1980 Differentiable perturbations of infinite optimization problems. Zbl 0404.90089 Lempio, F.; Maurer, H. 1 1978 Bemerkungen zur Lagrangeschen Funktionaldifferentialgleichung. Zbl 0286.90055 Lempio, F. 2 1974 Eine Verallgemeinerung des Satzes von Fritz John. Zbl 0316.90058 Lempio, F. 1 1973 Differenzierbare Optimierung mit unendlich vielen Nebenbedingungen. Zbl 0248.90051 Lempio, F. 3 1972 Lineare Optimierung in unendlichdimensionalen Vektorräumen. Zbl 0243.90020 Lempio, Frank 4 1971 all cited Publications top 5 cited Publications all top 5 Cited by 286 Authors 15 Danca, Marius-Florin 11 Gerdts, Matthias 10 Alt, Walter 10 Baier, Robert 10 Veliov, Vladimir M. 8 Donchev, Tzanko Donchev 8 Shehu, Yekini 7 Farkhi, Elza M. 6 Gusev, Mikhail Ivanovich 6 Rieger, Janosch 6 Ushakov, Vladimir Nikolaevich 5 Ershov, Aleksandr Anatol’evich 5 Kaya, C. Yalçin 5 Malanowski, Kazimierz D. 5 Martens, Björn 5 Maurer, Helmut 5 Seydenschwanz, Martin 4 Dong, Qiaoli 4 Fečkan, Michal 4 Huang, Nan-Jing 4 Kostousova, Elena K. 4 Lempio, Frank 4 Piétrus, Alain 4 Scarinci, Teresa 4 Schneider, Christopher 4 Ushakov, Andreĭ Vladimirovich 3 Bastien, Jérôme 3 Felgenhauer, Ursula 3 Finkel’shteĭn, Evgeniya Aleksandrovna 3 Goeleven, Daniel 3 Gornov, Aleksandr Yur’evich 3 Iyiola, Olaniyi Samuel 3 Li, Xuesong 3 Liu, Lulu 3 Mahmudov, Elimhan Nadir 3 Mordukhovich, Boris S. 3 Osmolovskiĭ, Nikolaĭ Pavlovich 3 Rückmann, Jan-Joachim 3 Shapiro, Alexander 3 Shillor, Meir 3 Stein, Oliver 3 van der Walt, Jan Harm 3 Vuong, Phan Tu 2 Ahn, Jeongho 2 Anguelov, Roumen 2 Artstein, Zvi 2 Ayoola, Ezekiel O. 2 Azhmyakov, Vadim 2 Barton, Paul I. 2 Brogliato, Bernard 2 Chen, Guanrong 2 Cichoń, Mieczysław 2 Dang Van Hieu 2 Dontchev, Asen L. 2 Dương Việt Thông 2 Dyn, Nira 2 Filippova, Tat’yana Fëdorovna 2 Grygarova, Libuse 2 Harwood, Stuart M. 2 Izuchukwu, Chinedu 2 Kastner-Maresch, Alois E. 2 Kuznetsov, Nikolay Vladimirovich 2 Massa, Enrico 2 Mokhov, Alona 2 O’Regan, Donal 2 Pagani, Enrico M. 2 Penot, Jean-Paul 2 Preininger, Jakob 2 Reich, Simeon 2 Renard, Yves 2 Sanfelice, Ricardo G. 2 Satco, Bianca-Renata 2 Simpson, David John Warwick 2 Stewart, David Edward 2 Trélat, Emmanuel 2 Wachsmuth, Gerd 2 Wang, Xing 2 Yao, Jen-Chih 2 Zarodnyuk, Tatiana Sergeevna 1 Acary, Vincent 1 Adly, Samir 1 Agosin, Eduardo 1 Ahmed, Rizwan 1 Albrecht, Sebastian 1 Anikin, Anton S. 1 Arutyunov, Aram Vladimirovic 1 Aydinoglu, Alp 1 Babenko, Viktor V. 1 Babenko, Vladyslav Fedorovych 1 Banihashemi, Nahid 1 Barrios, Jorge 1 Bednarczuk, Ewa M. 1 Beigy, Hamid 1 Berdysheva, Elena E. 1 Berezina, Elena Vladimirovna 1 Berman, Robert J. 1 Beyn, Wolf-Jürgen 1 Biegler, Lorenz T. 1 Borwein, Jonathan Michael 1 Boucksom, Sébastien ...and 186 more Authors all top 5 Cited in 107 Serials 19 Journal of Optimization Theory and Applications 12 Optimization 10 Computational Optimization and Applications 8 Numerical Functional Analysis and Optimization 7 Applied Mathematics and Optimization 7 Nonlinear Dynamics 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 Proceedings of the Steklov Institute of Mathematics 4 Computing 4 Journal of Differential Equations 4 SIAM Journal on Control and Optimization 4 Journal of Mathematical Sciences (New York) 4 Discrete and Continuous Dynamical Systems 4 Optimization Methods & Software 4 Set-Valued and Variational Analysis 3 Chaos, Solitons and Fractals 3 Applied Mathematics and Computation 3 Journal of Computational and Applied Mathematics 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Systems & Control Letters 3 MCSS. Mathematics of Control, Signals, and Systems 3 Annals of Operations Research 3 Numerical Algorithms 3 Mathematical Programming. Series A. Series B 3 Set-Valued Analysis 2 Computers & Mathematics with Applications 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Mathematical Analysis and Applications 2 Automatica 2 Journal of Approximation Theory 2 Mathematical Programming 2 Numerische Mathematik 2 Optimal Control Applications & Methods 2 Stochastic Analysis and Applications 2 Mathematical and Computer Modelling 2 Journal of Scientific Computing 2 Automation and Remote Control 2 Top 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 2 Nonlinear Analysis. Real World Applications 2 Advances in Difference Equations 2 Mathematical Control and Related Fields 2 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 2 Journal of Computational Dynamics 2 Nonlinear Analysis. Theory, Methods & Applications 2 Ural Mathematical Journal 2 Mechanics of Solids 1 Applicable Analysis 1 Journal of Applied Mathematics and Mechanics 1 Journal of Computational Physics 1 Journal of the Franklin Institute 1 Metrika 1 Ukrainian Mathematical Journal 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Prikladnaya Matematika i Mekhanika 1 BIT 1 International Journal for Numerical Methods in Engineering 1 Inventiones Mathematicae 1 Kybernetika 1 Mathematische Nachrichten 1 Rendiconti del Seminario Matematico della Università di Padova 1 Siberian Mathematical Journal 1 Acta Applicandae Mathematicae 1 Physica D 1 Applied Numerical Mathematics 1 Constructive Approximation 1 Journal of Global Optimization 1 SIAM Journal on Applied Mathematics 1 Journal of Dynamics and Differential Equations 1 Archive of Applied Mechanics 1 International Journal of Robust and Nonlinear Control 1 Computational and Applied Mathematics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Convex Analysis 1 Reliable Computing 1 Journal of Difference Equations and Applications 1 The Journal of Fourier Analysis and Applications 1 Mathematical Problems in Engineering 1 European Journal of Control 1 Doklady Mathematics 1 Vietnam Journal of Mathematics 1 Positivity 1 Soft Computing 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Regular and Chaotic Dynamics 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 CEJOR. Central European Journal of Operations Research 1 Optimization and Engineering 1 Foundations of Computational Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 SIAM Journal on Applied Dynamical Systems 1 Structural and Multidisciplinary Optimization 1 Analysis and Applications (Singapore) 1 International Journal of Geometric Methods in Modern Physics 1 Networks and Spatial Economics 1 Journal of Industrial and Management Optimization 1 Optimization Letters 1 Nonlinear Analysis. Hybrid Systems ...and 7 more Serials all top 5 Cited in 31 Fields 105 Calculus of variations and optimal control; optimization (49-XX) 70 Numerical analysis (65-XX) 67 Ordinary differential equations (34-XX) 60 Systems theory; control (93-XX) 59 Operations research, mathematical programming (90-XX) 18 Operator theory (47-XX) 14 Dynamical systems and ergodic theory (37-XX) 12 Mechanics of particles and systems (70-XX) 11 Real functions (26-XX) 8 Functional analysis (46-XX) 8 Convex and discrete geometry (52-XX) 7 Approximations and expansions (41-XX) 7 General topology (54-XX) 7 Biology and other natural sciences (92-XX) 6 Mechanics of deformable solids (74-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Probability theory and stochastic processes (60-XX) 4 Difference and functional equations (39-XX) 3 Measure and integration (28-XX) 3 Computer science (68-XX) 2 Partial differential equations (35-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year