Edit Profile (opens in new tab) Leugering, Günter Compute Distance To: Compute Author ID: leugering.gunter Published as: Leugering, Günter; Leugering, G.; Leugering, Guenter; Leugering, Günter R.; Leugering, Günther; Leugering, Gunter; Leugering, G. R. more...less External Links: MGP · ORCID · Wikidata · Google Scholar · Math-Net.Ru · dblp · GND · IdRef · theses.fr Documents Indexed: 182 Publications since 1983, including 4 Books 17 Contributions as Editor Biographic References: 1 Publication Co-Authors: 138 Co-Authors with 168 Joint Publications 3,613 Co-Co-Authors all top 5 Co-Authors 30 single-authored 24 Gugat, Martin 17 Kogut, Peter I. 15 Stingl, Michael 14 Lagnese, John E. 10 Martin, Alexander 9 Schmidt, E. J. P. Georg 9 Sokołowski, Jan 7 Khludnev, Aleksandr Mikhaĭlovich 7 Mehra, Mani 7 Wang, Yue 6 Kunisch, Karl 6 Li, Tatsien 6 Nazarov, Sergeĭ Aleksandrovich 6 Steinmann, Paul 6 Tröltzsch, Fredi 5 Dick, Markus 5 Hante, Falk M. 5 Mehandiratta, Vaibhav 5 Schmidt, Martin 5 Sprekels, Jürgen 4 Herty, Michael Matthias 4 Hintermüller, Michael 4 Keimer, Alexander 4 Klar, Axel 4 Kočvara, Michal 3 Gröschel, Michael 3 Lang, Jens 3 Mophou, Gisèle Massengo 3 Prechtel, Marina 3 Schury, Fabian 3 Seidman, Thomas I. 3 Sirvent, Mathias 3 Strohmeyer, Christoph 3 Ulbrich, Stefan 3 Zochowski, Antoni 2 Avdonin, Sergeĭ Anatol’evich 2 Bänsch, Eberhard 2 Casas, Eduardo 2 Engell, Sebastian 2 Friederich, Jan 2 Griewank, Andreas 2 Hild, Johannes 2 Hinze, Michael 2 Hoffmann, Karl-Heinz 2 Kaltenbacher, Manfred 2 Klamroth, Kathrin 2 Kovtunenko, Viktor Anatolievich 2 Krabs, Werner 2 Kufner, Tobias 2 Kupenko, Ol’ga P. 2 Mikhaylov, Victor S. 2 Morsi, Antonio 2 Novotny, Antonio André 2 Ostrowski, Manfred 2 Perla Menzala, Gustavo Alberto 2 Peukert, Wolfgang 2 Rannacher, Rolf 2 Rocca, Elisabetta 2 Rodriguez, Charlotte 2 Schewe, Lars 2 Schiel, Ralph 2 Semmler, Johannes 2 Shukla, Ankita 2 Slutskij, Andrey S. 2 Taskinen, Jari 2 Wein, Fabian 2 Wintergerst, David 1 Abdon, Choque Rivero 1 Alabau-Boussouira, Fatiha 1 Benner, Peter 1 Blanco, Pablo Javier 1 Cannarsa, Piermarco 1 de Teresa, Luz 1 Elliott, Charles M. 1 Fischer, Torsten 1 Fotsing, Pasquini Soh 1 Gaile, Stefanie 1 Geißler, Björn 1 Glowinski, Roland 1 Gramsch, Simone 1 Greifenstein, Jannis 1 Gu, Qilong 1 Harbrecht, Helmut 1 Hartmaier, Alexander 1 Haslinger, Jaroslav 1 Heusch, Steffen 1 Hirsch-Dick, Markus 1 Horn, Mary Ann 1 Hundhammer, Ralf 1 Imanuvilov, Oleg Yu. 1 Janisch, R. 1 Kaltenbacher, Barbara 1 Kenne, Cyrille 1 Kolb, Oliver 1 Krug, Richard 1 Kumar, Vivek 1 Kupenko, Olha P. 1 Lasiecka, Irena 1 Marheineke, Nicole 1 Medgenberg, J. ...and 38 more Co-Authors all top 5 Serials 15 Mathematical Methods in the Applied Sciences 14 SIAM Journal on Control and Optimization 9 ISNM. International Series of Numerical Mathematics 6 Zeitschrift für Analysis und ihre Anwendungen 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 Applied Mathematics and Optimization 5 Control and Cybernetics 5 Journal of Optimization Theory and Applications 5 Oberwolfach Reports 5 Networks and Heterogeneous Media 3 Chinese Annals of Mathematics. Series B 3 Asymptotic Analysis 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Computational Optimization and Applications 3 GAMM-Mitteilungen 2 Applicable Analysis 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Dynamics and Stability of Systems 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Optimization 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 Optimization and Engineering 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Systems & Control: Foundations & Applications 2 PAMM. Proceedings in Applied Mathematics and Mechanics 2 Mathematical Control and Related Fields 1 Archive for Rational Mechanics and Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Mathematische Nachrichten 1 Networks 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Journal of Integral Equations 1 Systems & Control Letters 1 Optimization 1 Journal of Mathematical Sciences (New York) 1 Computational and Applied Mathematics 1 Advances in Computational Mathematics 1 Discrete and Continuous Dynamical Systems 1 Mathematics and Mechanics of Solids 1 Optimization Methods & Software 1 Mathematical Methods of Operations Research 1 Doklady Physics 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Journal of Systems Science and Complexity 1 Communications on Pure and Applied Analysis 1 Structural and Multidisciplinary Optimization 1 Journal of Hyperbolic Differential Equations 1 International Journal of Fracture 1 Lecture Notes in Pure and Applied Mathematics 1 SIAM Journal on Imaging Sciences 1 Eurasian Mathematical Journal 1 Numerical Algebra, Control and Optimization 1 Journal of Mathematics in Industry 1 Mathematics and Mechanics of Complex Systems all top 5 Fields 97 Partial differential equations (35-XX) 92 Calculus of variations and optimal control; optimization (49-XX) 83 Mechanics of deformable solids (74-XX) 76 Systems theory; control (93-XX) 28 Numerical analysis (65-XX) 24 Operations research, mathematical programming (90-XX) 21 Fluid mechanics (76-XX) 18 General and overarching topics; collections (00-XX) 10 Ordinary differential equations (34-XX) 9 Integral equations (45-XX) 5 Mechanics of particles and systems (70-XX) 3 Combinatorics (05-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Optics, electromagnetic theory (78-XX) 3 Biology and other natural sciences (92-XX) 3 Information and communication theory, circuits (94-XX) 2 Real functions (26-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operator theory (47-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 151 Publications have been cited 1,478 times in 873 Documents Cited by ▼ Year ▼ Modeling, analysis and control of dynamic elastic multi-link structures. Zbl 0810.73004Lagnese, J. E.; Leugering, Günter; Schmidt, E. J. P. G. 133 1994 Uniform stabilization of a nonlinear beam by nonlinear boundary feedback. Zbl 0802.73052Lagnese, J. E.; Leugering, G. 56 1991 On the modelling and stabilization of flows in networks of open canals. Zbl 1024.76009Leugering, Guenter; Schmidt, J. P. Georg 55 2002 Modelling of dynamic networks of thin thermoelastic beams. Zbl 0773.73060Lagnese, J. E.; Leugering, G.; Schmidt, E. J. P. G. 44 1993 On elastic bodies with thin rigid inclusions and cracks. Zbl 1202.35323Khludnev, Alexander; Leugering, Günter 38 2010 Global boundary controllability of the de St. Venant equations between steady states. Zbl 1032.93030Gugat, M.; Leugering, G. 33 2003 Optimal control problems for partial differential equations on reticulated domains. Approximation and asymptotic analysis. Zbl 1253.49001Kogut, Peter I.; Leugering, Günter R. 32 2011 Optimal control for traffic flow networks. Zbl 1079.49024Gugat, M.; Herty, M.; Klar, A.; Leugering, G. 30 2005 Gas flow in fan-shaped networks: classical solutions and feedback stabilization. Zbl 1237.35107Gugat, Martin; Dick, Markus; Leugering, Günter 29 2011 A shape-topological control problem for nonlinear crack-defect interaction: the antiplane variational model. Zbl 1342.35381Kovtunenko, Victor A.; Leugering, Günter 26 2016 Modeling and analysis of modal switching in networked transport systems. Zbl 1167.93005Hante, Falk M.; Leugering, Günter; Seidman, Thomas I. 26 2009 Global controllability between steady supercritical flows in channel networks. Zbl 1047.93028Gugat, Martin; Leugering, Günter; Schmidt, E. J. P. Georg 25 2004 Stationary states in gas networks. Zbl 1332.93154Gugat, Martin; Hante, Falk M.; Hirsch-Dick, Markus; Leugering, Günter 24 2015 Control of planar networks of Timoshenko beams. Zbl 0775.93107Lagnese, J. E.; Leugering, G.; Schmidt, E. J. P. G. 23 1993 Classical solutions and feedback stabilization for the gas flow in a sequence of pipes. Zbl 1263.76059Dick, Markus; Gugat, Martin; Leugering, Günter 22 2010 Challenges in optimal control problems for gas and fluid flow in networks of pipes and canals: from modeling to industrial applications. Zbl 1396.76078Hante, Falk M.; Leugering, Günter; Martin, Alexander; Schewe, Lars; Schmidt, Martin 22 2017 Domain decomposition methods in optimal control of partial differential equations. Zbl 1059.49002Lagnese, John E.; Leugering, Günter 21 2004 Exact boundary controllability of an integrodifferential equation. Zbl 0625.49016Leugering, Günter 20 1987 On the analysis and control of hyperbolic systems associated with vibrating networks. Zbl 0800.93602Lagnese, J. E.; Leugering, G.; Schmidt, E. J. P. G. 20 1994 Optimal control of cracks in elastic bodies with thin rigid inclusions. Zbl 1370.74136Khludnev, Alexander M.; Leugering, Günter 20 2011 Delaminated thin elastic inclusions inside elastic bodies. Zbl 1459.74163Khludnev, Alexander M.; Leugering, Günter R. 19 2014 Global boundary controllability of the Saint-Venant system for sloped canals with friction. Zbl 1154.76009Gugat, M.; Leugering, G. 18 2009 Approximation of optimal control problems in the coefficient for the \(p\)-Laplace equation. I: Convergence result. Zbl 1341.35075Casas, Eduardo; Kogut, Peter I.; Leugering, Günter 17 2016 Time optimal boundary controllability of a simple linear viscoelastic liquid. Zbl 0652.76006Leugering, G. 17 1987 Multidisciplinary free material optimization. Zbl 1429.74079Haslinger, J.; Kočvara, M.; Leugering, G.; Stingl, M. 16 2010 Mixed integer linear models for the optimization of dynamical transport networks. Zbl 1245.90070Geißler, Björn; Kolb, Oliver; Lang, Jens; Leugering, Günter; Martin, Alexander; Morsi, Antonio 16 2011 \(L^{p}\)-optimal boundary control for the wave equation. Zbl 1083.49017Gugat, M.; Leugering, G.; Sklyar, G. 16 2005 Analysis of a system of nonlocal conservation laws for multi-commodity flow on networks. Zbl 1335.49011Gugat, Martin; Keimer, Alexander; Leugering, Günter; Wang, Zhiqiang 16 2015 Control of crack propagation by shape-topological optimization. Zbl 1335.35073Leugering, Günter; Sokołowski, Jan; Żochowski, Antoni 16 2015 On Timoshenko thin elastic inclusions inside elastic bodies. Zbl 1327.74100Khludnev, A. M.; Leugering, G. R. 16 2015 Optimal \(L^1\)-control in coefficients for Dirichlet elliptic problems: \(W\)-optimal solutions. Zbl 1223.49003Kogut, Peter I.; Leugering, Guenter 15 2011 \(L^\infty\)-norm minimal control of the wave equation: on the weakness of the bang-bang principle. Zbl 1133.49006Gugat, Martin; Leugering, Gunter 15 2008 Time-domain decomposition of optimal control problems for the wave equation. Zbl 1134.49313Lagnese, J. E.; Leugering, G. 15 2003 On boundary controllability of a vibrating plate. Zbl 0596.49025Krabs, Werner; Leugering, Günter; Seidman, Thomas I. 15 1985 Optimal control of inclusion and crack shapes in elastic bodies. Zbl 1287.49046Khludnev, A.; Leugering, G.; Specovius-Neugebauer, M. 14 2012 Optimal \(L^1\)-control in coefficients for Dirichlet elliptic problems: \(H\)-optimal solutions. Zbl 1260.35064Kogut, Peter I.; Leugering, Günter 14 2012 On an inverse problem for tree-like networks of elastic strings. Zbl 1329.34036Avdonin, S.; Leugering, G.; Mikhaylov, V. 14 2010 MIP-based instantaneous control of mixed-integer PDE-constrained gas transport problems. Zbl 1391.49040Gugat, Martin; Leugering, Günter; Martin, Alexander; Schmidt, Martin; Sirvent, Mathias; Wintergerst, David 14 2018 Dynamic domain decomposition of optimal control problems for networks of strings and Timoshenko beams. Zbl 0938.49002Leugering, G. 13 1999 Exact controllability in viscoelasticity of fading memory type. Zbl 0525.93010Leugering, G. 12 1985 \(H^2\)-stabilization of the isothermal Euler equations: a Lyapunov function approach. Zbl 1253.76112Gugat, Martin; Leugering, Günter; Tamasoiu, Simona 12 2012 Control and stabilization of degenerate wave equations. Zbl 1373.35185Alabau-Boussouira, Fatiha; Cannarsa, Piermarco; Leugering, Günter 12 2017 Existence and uniqueness results for a nonlinear Caputo fractional boundary value problem on a star graph. Zbl 1421.34005Mehandiratta, Vaibhav; Mehra, Mani; Leugering, Günter 12 2019 Optimal distributed control of the wave equation subject to state constraints. Zbl 1176.35176Gugat, Martin; Keimer, Alexander; Leugering, Günter 11 2009 Well-posedness of networked hyperbolic systems of balance laws. Zbl 1356.49004Gugat, Martin; Herty, Michael; Klar, Axel; Leugering, Günther; Schleper, Veronika 11 2012 A strict \(H^1\)-Lyapunov function and feedback stabilization for the isothermal Euler equations with friction. Zbl 1242.76296Dick, Markus; Gugat, Martin; Leugering, Günter 11 2011 Matrix-valued \(L^1\)-optimal controls in the coefficients of linear elliptic problems. Zbl 1282.49004Kogut, Peter I.; Leugering, Günter 10 2013 Neumann boundary feedback stabilization for a nonlinear wave equation: A strict \(H^2\)-Lyapunov function. Zbl 1366.76079Gugat, Martin; Leugering, Günter; Wang, Ke 10 2017 A sequential convex semidefinite programming algorithm with an application to multiple-load free material optimization. Zbl 1239.74010Stingl, M.; Kočvara, M.; Leugering, G. 10 2009 On exact controllability of generic trees. Zbl 0966.74049Leugering, Günter; Zuazua, Enrique 10 2000 Simulation of fracture in heterogeneous elastic materials with cohesive zone models. Zbl 1283.74073Prechtel, M.; Ronda, P. Leiva; Janisch, R.; Hartmaier, A.; Leugering, G.; Steinmann, P.; Stingl, M. 10 2011 Modelling, stabilization, and control of flow in networks of open channels. Zbl 0987.93056Gugat, Martin; Leugering, Günter; Schittkowski, Klaus; Schmidt, E. J. P. Georg 10 2001 On the application of the Monge-Kantorovich problem to image registration. Zbl 1175.94023Museyko, O.; Stiglmayr, M.; Klamroth, K.; Leugering, G. 9 2009 Domain decomposition of optimal control problems for dynamic networks of elastic strings. Zbl 0971.49019Leugering, Günter 9 2000 Regularity theory and adjoint-based optimality conditions for a nonlinear transport equation with nonlocal velocity. Zbl 1315.35225Gröschel, Michael; Keimer, Alexander; Leugering, Günter; Wang, Zhiqiang 9 2014 Optimal boundary control of convention-reaction transport systems with binary control functions. Zbl 1237.49006Hante, Falk M.; Leugering, Günter 8 2009 A fast adaptive spectral graph wavelet method for the viscous Burgers’ equation on a star-shaped connected graph. Zbl 07248232Shukla, Ankita; Mehra, Mani; Leugering, Günter 8 2020 Free material optimization with fundamental eigenfrequency constraints. Zbl 1239.74011Stingl, M.; Kočvara, M.; Leugering, G. 7 2009 Towards simulation based mixed integer optimization with differential equations. Zbl 1397.90308Gugat, Martin; Leugering, Günter; Martin, Alexander; Schmidt, Martin; Sirvent, Mathias; Wintergerst, David 7 2018 On the inverse problem of the two-velocity tree-like graph. Zbl 1335.35290Avdonin, Sergei; Abdon, Choque Rivero; Leugering, Günter; Mikhaylov, Victor 6 2015 Boundary controllability of a viscoelastic string. Zbl 0697.73046Leugering, G. 6 1989 A cohesive crack propagation model: mathematical theory and numerical solution. Zbl 1345.74100Leugering, Günter; Prechtel, Marina; Steinmann, Paul; Stingl, Michael 6 2013 An augmented BV setting for feedback switching control. Zbl 1201.93047Hante, Falk M.; Leugering, Günter; Seidman, Thomas I. 6 2010 Shape sensitivity analysis of a quasi-electrostatic piezoelectric system in multilayered media. Zbl 1203.49062Leugering, G.; Novotny, A. A.; Perla Menzala, G.; Sokołowski, J. 6 2010 Solutions of \(L^p\)-norm-minimal control problems for the wave equation. Zbl 1119.90353Gugat, Martin; Leugering, G. 6 2002 Constrained optimization and optimal control for partial differential equations. Zbl 1231.49001 6 2012 Dynamic domain decomposition in approximate and exact boundary control in problems of transmission for wave equations. Zbl 0952.93010Lagnese, J. E.; Leugering, G. 6 2000 Modelling and controllability of networks of thin beams. Zbl 0850.93082Lagnese, J. E.; Leugering, G.; Schmidt, E. J. P. G. 6 1992 Fractional optimal control problems on a star graph: optimality system and numerical solution. Zbl 1460.34017Mehandiratta, Vaibhav; Mehra, Mani; Leugering, Günter 6 2021 Control and stabilization of a flexible robot arm. Zbl 0695.93078Leugering, G. 5 1990 Boundary control of a vibrating plate with internal damping. Zbl 0703.73060Leugering, Günter; Schmidt, E. J. P. Georg 5 1989 Unilateral contact problems for two perpendicular elastic structures. Zbl 1147.35047Khludnev, Alexander; Leugering, Günter 5 2008 On control and stabilization of a rotating beam by applying moments at the base only. Zbl 0800.93567Leugering, G. 5 1991 Regularization of \(L^\infty\)-optimal control problems for distributed parameter systems. Zbl 1015.49020Gugat, M.; Leugering, G. 5 2002 Reverberation analysis and control of networks of elastic strings. Zbl 0867.73055Leugering, Günter 5 1996 Trends in PDE constrained optimization. Zbl 1306.49001 5 2014 On boundary controllability of one-dimensional vibrating systems by \(W_ 0^{1,p}\)-controls for \(p\in [2,\infty]\). Zbl 0796.93011Krabs, Werner; Leugering, G. 5 1994 Consistent treatment of viscoelastic effects at junctions in one-dimensional blood flow models. Zbl 1349.76369Müller, Lucas O.; Leugering, Günter; Blanco, Pablo J. 5 2016 Nonoverlapping domain decomposition for optimal control problems governed by semilinear models for gas flow in networks. Zbl 1391.49059Leugering, Günter; Martin, Alexander; Schmidt, Martin; Sirvent, Mathias 5 2017 On boundary feedback stabilisability of a viscoelastic beam. Zbl 0699.73037Leugering, Guenter 4 1990 On the effect of self-penalization of piezoelectric composites in topology optimization. Zbl 1274.74412Wein, Fabian; Kaltenbacher, Manfred; Kaltenbacher, Barbara; Leugering, Günter; Bänsch, Eberhard; Schury, Fabian 4 2011 Homogenization of constrained optimal control problems for one-dimensional elliptic equations on periodic graphs. Zbl 1173.35015Kogut, Peter I.; Leugering, Günter 4 2009 On the equilibrium of elastic bodies containing thin rigid inclusions. Zbl 1337.74003Leugering, G.; Khludnev, A. M. 4 2010 Homogenization of optimal control problems in variable domains. Principle of the fictitious homogenization. Zbl 0994.49011Kogut, P.; Leugering, G. 4 2001 On boundary observability estimates for semi-discretizations of a dynamic network of elastic strings. Zbl 0959.93003Brauer, U.; Leugering, G. 4 1999 A generation result for a class of linear thermo-viscoelastic material. Zbl 0519.73031Leugering, Guenter 4 1983 On the semi-discretization of optimal control problems for networks of elastic strings: Global optimality systems and domain decomposition. Zbl 0974.74040Leugering, G. 4 2000 On dynamic domain decomposition of controlled networks of elastic strings and joint-masses. Zbl 0908.93034Leugering, G. 4 1998 \(S\)-homogenization of optimal control problems in Banach spaces. Zbl 0994.49012Kogut, Peter; Leugering, Günter 4 2002 Conservation law constrained optimization based upon Front-Tracking. Zbl 1116.65079Gugat, Martin; Herty, Michaël; Klar, Axel; Leugering, Gunter 4 2006 Exact boundary controllability for 1-D quasilinear wave equations with dynamical boundary conditions. Zbl 1391.35283Wang, Yue; Leugering, Günter; Li, Tatsien 4 2017 Optimal control of nonlinear hyperbolic conservation laws with switching. Zbl 1327.49014Pfaff, Sebastian; Ulbrich, Stefan; Leugering, Günter 4 2014 Boundary control of a vibrating plate. Zbl 0553.93013Leugering, G. 4 1984 On \(S\)-homogenization of an optimal control problem with control and state constraints. Zbl 0982.35014Kogut, P.; Leugering, G. 4 2001 Instantaneous control of vibrating string networks. Zbl 1007.93038Hundhammer, Ralf; Leugering, Günter 4 2001 Analysis of a system of nonlocal balance laws with weighted work in progress. Zbl 1437.35488Keimer, Alexander; Leugering, Günter; Sarkar, Tanmay 4 2018 On shape optimization for an evolution coupled system. Zbl 1242.49089Leugering, G.; Novotny, A. A.; Perla Menzala, G.; Sokołowski, J. 4 2011 Exact boundary controllability of nodal profile for Saint-Venant system on a network with loops. Zbl 1423.35245Zhuang, Kaili; Leugering, Günter; Li, Tatsien 4 2019 Instantaneous optimal control of friction dominated flow in a gas-network. Zbl 1407.49074Leugering, Günter; Mophou, Gisèle 4 2018 On boundary feedback stabilization of a viscoelastic membrane. Zbl 0681.93051Leugering, G. 3 1989 Fractional optimal control problems on a star graph: optimality system and numerical solution. Zbl 1460.34017Mehandiratta, Vaibhav; Mehra, Mani; Leugering, Günter 6 2021 Optimal control of a fractional Sturm-Liouville problem on a star graph. Zbl 1466.49014Mophou, Gisèle; Leugering, Günter; Fotsing, Pasquini Soh 3 2021 Existence results and stability analysis for a nonlinear fractional boundary value problem on a circular ring with an attached edge: a study of fractional calculus on metric graph. Zbl 1465.34010Mehandiratta, Vaibhav; Mehra, Mani; Leugering, Günter 3 2021 Boundary controllability of a system modelling a partially immersed obstacle. Zbl 1473.35358Vergara-Hermosilla, G.; Leugering, G.; Wang, Y. 1 2021 An adaptive spectral graph wavelet method for PDEs on networks. Zbl 1472.65129Mehra, Mani; Shukla, Ankita; Leugering, Günter 1 2021 An approach based on Haar wavelet for the approximation of fractional calculus with application to initial and boundary value problems. Zbl 07376730Mehandiratta, Vaibhav; Mehra, Mani; Leugering, Günter 1 2021 A fast adaptive spectral graph wavelet method for the viscous Burgers’ equation on a star-shaped connected graph. Zbl 07248232Shukla, Ankita; Mehra, Mani; Leugering, Günter 8 2020 Boundary feedback stabilization for the intrinsic geometrically exact beam model. Zbl 1458.35260Rodriguez, Charlotte; Leugering, Günter 3 2020 The band-gap structure of the spectrum in a periodic medium of masonry type. Zbl 1454.35130Leugering, Günter; Nazarov, Sergei A.; Taskinen, Jari 1 2020 Optimal control of a population dynamics model with missing birth rate. Zbl 1453.49004Kenne, Cyrille; Leugering, Günter; Mophou, Gisèle 1 2020 Existence and uniqueness results for a nonlinear Caputo fractional boundary value problem on a star graph. Zbl 1421.34005Mehandiratta, Vaibhav; Mehra, Mani; Leugering, Günter 12 2019 Exact boundary controllability of nodal profile for Saint-Venant system on a network with loops. Zbl 1423.35245Zhuang, Kaili; Leugering, Günter; Li, Tatsien 4 2019 Exact boundary controllability and its applications for a coupled system of quasilinear wave equations with dynamical boundary conditions. Zbl 1437.35509Wang, Yue; Leugering, Günter; Li, Tatsien 2 2019 MIP-based instantaneous control of mixed-integer PDE-constrained gas transport problems. Zbl 1391.49040Gugat, Martin; Leugering, Günter; Martin, Alexander; Schmidt, Martin; Sirvent, Mathias; Wintergerst, David 14 2018 Towards simulation based mixed integer optimization with differential equations. Zbl 1397.90308Gugat, Martin; Leugering, Günter; Martin, Alexander; Schmidt, Martin; Sirvent, Mathias; Wintergerst, David 7 2018 Analysis of a system of nonlocal balance laws with weighted work in progress. Zbl 1437.35488Keimer, Alexander; Leugering, Günter; Sarkar, Tanmay 4 2018 Instantaneous optimal control of friction dominated flow in a gas-network. Zbl 1407.49074Leugering, Günter; Mophou, Gisèle 4 2018 Simulation and structural optimization of 3D Timoshenko beam networks based on fully analytic network solutions. Zbl 1419.34107Kufner, Tobias; Leugering, Günter; Semmler, Johannes; Sting, Michael; Strohmeyer, Christoph 2 2018 Challenges in optimal control problems for gas and fluid flow in networks of pipes and canals: from modeling to industrial applications. Zbl 1396.76078Hante, Falk M.; Leugering, Günter; Martin, Alexander; Schewe, Lars; Schmidt, Martin 22 2017 Control and stabilization of degenerate wave equations. Zbl 1373.35185Alabau-Boussouira, Fatiha; Cannarsa, Piermarco; Leugering, Günter 12 2017 Neumann boundary feedback stabilization for a nonlinear wave equation: A strict \(H^2\)-Lyapunov function. Zbl 1366.76079Gugat, Martin; Leugering, Günter; Wang, Ke 10 2017 Nonoverlapping domain decomposition for optimal control problems governed by semilinear models for gas flow in networks. Zbl 1391.49059Leugering, Günter; Martin, Alexander; Schmidt, Martin; Sirvent, Mathias 5 2017 Exact boundary controllability for 1-D quasilinear wave equations with dynamical boundary conditions. Zbl 1391.35283Wang, Yue; Leugering, Günter; Li, Tatsien 4 2017 Exact boundary controllability on a tree-like network of nonlinear planar Timoshenko beams. Zbl 1401.35287Gu, Qilong; Leugering, Günter; Li, Tatsien 1 2017 Model-based control of dynamic frictional contact problems using the example of hot rolling. Zbl 1439.74221Werner, Stefan; Stingl, Michael; Leugering, Günter 1 2017 Time delay in optimal control loops for wave equations. Zbl 1356.49005Gugat, Martin; Leugering, Günter 1 2017 A shape-topological control problem for nonlinear crack-defect interaction: the antiplane variational model. Zbl 1342.35381Kovtunenko, Victor A.; Leugering, Günter 26 2016 Approximation of optimal control problems in the coefficient for the \(p\)-Laplace equation. I: Convergence result. Zbl 1341.35075Casas, Eduardo; Kogut, Peter I.; Leugering, Günter 17 2016 Consistent treatment of viscoelastic effects at junctions in one-dimensional blood flow models. Zbl 1349.76369Müller, Lucas O.; Leugering, Günter; Blanco, Pablo J. 5 2016 On the relaxation of state-constrained linear control problems via Henig dilating cones. Zbl 1361.49013Kogut, Peter I.; Leugering, Günter; Schiel, Ralph 3 2016 A shape-topological control of variational inequalities. Zbl 1463.35062Kovtunenko, Viktor Anatolievich; Leugering, Günter 1 2016 Stationary states in gas networks. Zbl 1332.93154Gugat, Martin; Hante, Falk M.; Hirsch-Dick, Markus; Leugering, Günter 24 2015 Analysis of a system of nonlocal conservation laws for multi-commodity flow on networks. Zbl 1335.49011Gugat, Martin; Keimer, Alexander; Leugering, Günter; Wang, Zhiqiang 16 2015 Control of crack propagation by shape-topological optimization. Zbl 1335.35073Leugering, Günter; Sokołowski, Jan; Żochowski, Antoni 16 2015 On Timoshenko thin elastic inclusions inside elastic bodies. Zbl 1327.74100Khludnev, A. M.; Leugering, G. R. 16 2015 On the inverse problem of the two-velocity tree-like graph. Zbl 1335.35290Avdonin, Sergei; Abdon, Choque Rivero; Leugering, Günter; Mikhaylov, Victor 6 2015 Optimal and approximate boundary controls of an elastic body with quasistatic evolution of damage. Zbl 1331.74141Kogut, Peter I.; Leugering, Günter 3 2015 Optimal control in matrix-valued coefficients for nonlinear monotone problems: optimality conditions II. Zbl 1318.49040Kogut, Peter I.; Kupenko, Ol’ga P.; Leugering, Günter 2 2015 The Eshelby theorem and its variants for piezoelectric media. Zbl 1309.35163Leugering, G.; Nazarov, S. A. 2 2015 Optimal control in matrix-valued coefficients for nonlinear monotone problems: optimality conditions. I. Zbl 1307.49005Kogut, Peter I.; Kupenko, Ol’ga P.; Leugering, Günter 2 2015 Shape optimization in electromagnetic applications. Zbl 1329.78063Semmler, Johannes; Pflug, Lukas; Stingl, Michael; Leugering, Günter 2 2015 Gas distribution systems. Mathematical modeling, simulation and optimization. (Gasnetzwerke. Mathematische Modellierung, Simulation und Optimierung.) Zbl 1311.00014Lang, Jens; Leugering, Günter; Martin, Alexander; Tischendorf, Caren 1 2015 Shape- and topology optimization for passive control of crack propagation. Zbl 1329.74232Leugering, Günter; Sokołowski, Jan; Zochowski, Antoni 1 2015 Delaminated thin elastic inclusions inside elastic bodies. Zbl 1459.74163Khludnev, Alexander M.; Leugering, Günter R. 19 2014 Regularity theory and adjoint-based optimality conditions for a nonlinear transport equation with nonlocal velocity. Zbl 1315.35225Gröschel, Michael; Keimer, Alexander; Leugering, Günter; Wang, Zhiqiang 9 2014 Trends in PDE constrained optimization. Zbl 1306.49001 5 2014 Optimal control of nonlinear hyperbolic conservation laws with switching. Zbl 1327.49014Pfaff, Sebastian; Ulbrich, Stefan; Leugering, Günter 4 2014 Stabilization of networked hyperbolic systems with boundary feedback. Zbl 1327.93312Dick, Markus; Gugat, Martin; Herty, Michael; Leugering, Günter; Steffensen, Sonja; Wang, Ke 3 2014 Shape-topological differentiability of energy functionals for unilateral problems in domains with cracks and applications. Zbl 1319.49068Leugering, Günter; Sokołowski, Jan; Żochowski, Antoni 2 2014 On existence of optimal solutions to boundary control problem for an elastic body with quasistatic evolution of damage. Zbl 1327.74110Kogut, Peter I.; Leugering, Günter 1 2014 Matrix-valued \(L^1\)-optimal controls in the coefficients of linear elliptic problems. Zbl 1282.49004Kogut, Peter I.; Leugering, Günter 10 2013 A cohesive crack propagation model: mathematical theory and numerical solution. Zbl 1345.74100Leugering, Günter; Prechtel, Marina; Steinmann, Paul; Stingl, Michael 6 2013 Stabilization of the gas flow in star-shaped networks by feedback controls with varying delay. Zbl 1264.93206Gugat, Martin; Dick, Markus; Leugering, Günter 1 2013 Optimal control of inclusion and crack shapes in elastic bodies. Zbl 1287.49046Khludnev, A.; Leugering, G.; Specovius-Neugebauer, M. 14 2012 Optimal \(L^1\)-control in coefficients for Dirichlet elliptic problems: \(H\)-optimal solutions. Zbl 1260.35064Kogut, Peter I.; Leugering, Günter 14 2012 \(H^2\)-stabilization of the isothermal Euler equations: a Lyapunov function approach. Zbl 1253.76112Gugat, Martin; Leugering, Günter; Tamasoiu, Simona 12 2012 Well-posedness of networked hyperbolic systems of balance laws. Zbl 1356.49004Gugat, Martin; Herty, Michael; Klar, Axel; Leugering, Günther; Schleper, Veronika 11 2012 Constrained optimization and optimal control for partial differential equations. Zbl 1231.49001 6 2012 Mathematical optimization of water networks. Zbl 1252.65003 3 2012 Asymptotic analysis of 3D thin anisotropic plates with a piezoelectric patch. Zbl 1284.74066Leugering, Günter R.; Nazarov, Serguei A.; Slutskij, Andrey S. 3 2012 Regularized nonlinear scalarization for vector optimization problems with PDE-constraints. Zbl 1256.49048Leugering, G.; Schiel, R. 2 2012 Optimization of electro-mechanical smart structures. Zbl 1356.90138Bänsch, Eberhard; Kaltenbacher, Manfred; Leugering, Günter; Schury, Fabian; Wein, Fabian 2 2012 The Eshelby theorem and application to the optimization of an elastic patch. Zbl 1298.35031Leugering, G.; Stingl, M. 2 2012 Optimal design of brittle composite materials: a nonsmooth approach. Zbl 1257.90091Prechtel, Marina; Leugering, Günter; Steinmann, Paul; Stingl, Michael 1 2012 Optimal control problems for partial differential equations on reticulated domains. Approximation and asymptotic analysis. Zbl 1253.49001Kogut, Peter I.; Leugering, Günter R. 32 2011 Gas flow in fan-shaped networks: classical solutions and feedback stabilization. Zbl 1237.35107Gugat, Martin; Dick, Markus; Leugering, Günter 29 2011 Optimal control of cracks in elastic bodies with thin rigid inclusions. Zbl 1370.74136Khludnev, Alexander M.; Leugering, Günter 20 2011 Mixed integer linear models for the optimization of dynamical transport networks. Zbl 1245.90070Geißler, Björn; Kolb, Oliver; Lang, Jens; Leugering, Günter; Martin, Alexander; Morsi, Antonio 16 2011 Optimal \(L^1\)-control in coefficients for Dirichlet elliptic problems: \(W\)-optimal solutions. Zbl 1223.49003Kogut, Peter I.; Leugering, Guenter 15 2011 A strict \(H^1\)-Lyapunov function and feedback stabilization for the isothermal Euler equations with friction. Zbl 1242.76296Dick, Markus; Gugat, Martin; Leugering, Günter 11 2011 Simulation of fracture in heterogeneous elastic materials with cohesive zone models. Zbl 1283.74073Prechtel, M.; Ronda, P. Leiva; Janisch, R.; Hartmaier, A.; Leugering, G.; Steinmann, P.; Stingl, M. 10 2011 On the effect of self-penalization of piezoelectric composites in topology optimization. Zbl 1274.74412Wein, Fabian; Kaltenbacher, Manfred; Kaltenbacher, Barbara; Leugering, Günter; Bänsch, Eberhard; Schury, Fabian 4 2011 On shape optimization for an evolution coupled system. Zbl 1242.49089Leugering, G.; Novotny, A. A.; Perla Menzala, G.; Sokołowski, J. 4 2011 Topological derivatives for networks of elastic strings. Zbl 1298.74198Leugering, G.; Sokolowski, J. 2 2011 On elastic bodies with thin rigid inclusions and cracks. Zbl 1202.35323Khludnev, Alexander; Leugering, Günter 38 2010 Classical solutions and feedback stabilization for the gas flow in a sequence of pipes. Zbl 1263.76059Dick, Markus; Gugat, Martin; Leugering, Günter 22 2010 Multidisciplinary free material optimization. Zbl 1429.74079Haslinger, J.; Kočvara, M.; Leugering, G.; Stingl, M. 16 2010 On an inverse problem for tree-like networks of elastic strings. Zbl 1329.34036Avdonin, S.; Leugering, G.; Mikhaylov, V. 14 2010 An augmented BV setting for feedback switching control. Zbl 1201.93047Hante, Falk M.; Leugering, Günter; Seidman, Thomas I. 6 2010 Shape sensitivity analysis of a quasi-electrostatic piezoelectric system in multilayered media. Zbl 1203.49062Leugering, G.; Novotny, A. A.; Perla Menzala, G.; Sokołowski, J. 6 2010 On the equilibrium of elastic bodies containing thin rigid inclusions. Zbl 1337.74003Leugering, G.; Khludnev, A. M. 4 2010 PDE-constrained optimization for advanced materials. Zbl 1279.74031Leugering, Günter; Stingl, Michael 1 2010 Modeling and analysis of modal switching in networked transport systems. Zbl 1167.93005Hante, Falk M.; Leugering, Günter; Seidman, Thomas I. 26 2009 Global boundary controllability of the Saint-Venant system for sloped canals with friction. Zbl 1154.76009Gugat, M.; Leugering, G. 18 2009 Optimal distributed control of the wave equation subject to state constraints. Zbl 1176.35176Gugat, Martin; Keimer, Alexander; Leugering, Günter 11 2009 A sequential convex semidefinite programming algorithm with an application to multiple-load free material optimization. Zbl 1239.74010Stingl, M.; Kočvara, M.; Leugering, G. 10 2009 On the application of the Monge-Kantorovich problem to image registration. Zbl 1175.94023Museyko, O.; Stiglmayr, M.; Klamroth, K.; Leugering, G. 9 2009 Optimal boundary control of convention-reaction transport systems with binary control functions. Zbl 1237.49006Hante, Falk M.; Leugering, Günter 8 2009 Free material optimization with fundamental eigenfrequency constraints. Zbl 1239.74011Stingl, M.; Kočvara, M.; Leugering, G. 7 2009 Homogenization of constrained optimal control problems for one-dimensional elliptic equations on periodic graphs. Zbl 1173.35015Kogut, Peter I.; Leugering, Günter 4 2009 Free material optimization for plates and shells. Zbl 1187.90217Gaile, Stefanie; Leugering, Günter; Stingl, Michael 2 2009 A new non-linear semidefinite programming algorithm with an application to multidisciplinary free material optimization. Zbl 1425.74364Stingl, M.; Kočvara; Leugering, G. 1 2009 Optimal control of coupled systems of partial differential equations. Based on the international conference, Oberwolfach, Germany, March 2–8, 2008. Zbl 1182.49002 1 2009 \(L^\infty\)-norm minimal control of the wave equation: on the weakness of the bang-bang principle. Zbl 1133.49006Gugat, Martin; Leugering, Gunter 15 2008 Unilateral contact problems for two perpendicular elastic structures. Zbl 1147.35047Khludnev, Alexander; Leugering, Günter 5 2008 Topological sensitivity analysis for elliptic problems on graphs. Zbl 1188.49042Leugering, Günter; Sokolowski, Jan 3 2008 Homogenization of Dirichlet optimal control problems with exact partial controllability constraints. Zbl 1173.35335Kogut, P. I.; Leugering, G. 3 2008 Shape optimization for the Helmholtz equation. Zbl 1393.74149Seifrt, František; Leugering, Günter; Rohan, Eduard 1 2008 Asymptotic analysis of state constrained semilinear optimal control problems. Zbl 1126.49020Kogut, P. I.; Leugering, G. 3 2007 On the homogenization of optimal control problems on periodic graphs. Zbl 1403.49009Kogut, P. I.; Leugering, G. 1 2007 ...and 51 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,056 Authors 71 Leugering, Günter 39 Gugat, Martin 34 Khludnev, Aleksandr Mikhaĭlovich 26 Kogut, Peter I. 21 Xu, Gen-Qi 18 Herty, Michael Matthias 16 Avdonin, Sergeĭ Anatol’evich 16 Lazarev, Nyurgun Petrovich 15 Kunisch, Karl 15 Schmidt, Martin 14 Lasiecka, Irena 13 Manzo, Rosanna 12 Hante, Falk M. 12 Keimer, Alexander 12 Li, Tatsien 12 Zuazua, Enrique 11 Han, Zhongjie 11 Kovtunenko, Viktor Anatolievich 11 Kupenko, Olha P. 11 Nicaise, Serge 11 Prieur, Christophe 11 Rudoy, Evgeny Mikhailovich 10 Sokołowski, Jan 9 Coron, Jean-Michel 9 Pflug, Lukas 9 Sadek, Ibrahim S. 9 Schewe, Lars 9 Stingl, Michael 8 Göttlich, Simone 8 Guesmia, Aissa 8 Mehra, Mani 8 Popova, Tatiana Semenovna 7 Gu, Qilong 7 Klar, Axel 6 D’Apice, Ciro 6 Goatin, Paola 6 Grobbelaar-Van Dalsen, Marié 6 Martin, Alexander 6 Novotny, Antonio André 6 Renardy, Michael 6 Seidman, Thomas I. 6 Semenova, Galina Mikhaĭlovna 6 Wang, Yue 6 Wollner, Winnifried 5 Adali, Sarp 5 Almeida Júnior, Dilberto da Silva 5 Ammari, Kais 5 Bastin, Georges 5 Bruch, John C. jun. 5 Clason, Christian 5 Garavello, Mauro 5 Hayat, Amaury 5 Krstić, Miroslav 5 Kulaev, Ruslan Chermenovich 5 Loreti, Paola 5 Ma, To Fu 5 Mehandiratta, Vaibhav 5 Naso, Maria Grazia 5 Piccoli, Benedetto 5 Schultz, Rüdiger 5 Sforza, Daniela 5 Shang, Peipei 5 Shcherbakov, Viktor Viktorovich 5 Shen, Chunyu 5 Sklyar, Grigory Mikhailovitch 5 Sloss, James M. 5 van der Merwe, Alna 5 van Rensburg, Nicolaas F. J. 5 Zhang, Yaxuan 4 Aamo, Ole Morten 4 Alvarez-Vázquez, Lino Jose 4 Bayen, Alexandre M. 4 Biros, George 4 Corli, Andrea 4 Eller, Matthias M. 4 Fernández Sare, Hugo D. 4 Guo, Yanni 4 Itou, Hiromichi 4 Ivanov, Sergei A. 4 Krabs, Werner 4 Kramar Fijavž, Marjeta 4 Kröner, Axel 4 Kropat, Erik 4 Mang, Andreas 4 Martinez, Aurea 4 Mehrmann, Volker 4 Mercier, Denis 4 Mikhaylov, Victor S. 4 Mitra, Debanjana 4 Mugnolo, Delio 4 Neitzel, Ira 4 Perla Menzala, Gustavo Alberto 4 Pfetsch, Marc E. 4 Rosier, Lionel 4 Sirvent, Mathias 4 Steinbach, Marc Christian 4 Tian, Lixin 4 Ulbrich, Stefan 4 Weber, Gerhard-Wilhelm 4 Webster, Justin T. ...and 956 more Authors all top 5 Cited in 213 Serials 36 SIAM Journal on Control and Optimization 35 Journal of Mathematical Analysis and Applications 27 Mathematical Methods in the Applied Sciences 26 Journal of Differential Equations 25 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 21 Automatica 21 Networks and Heterogeneous Media 20 ZAMP. Zeitschrift für angewandte Mathematik und Physik 19 Applied Mathematics and Optimization 19 Journal of Optimization Theory and Applications 19 Systems & Control Letters 19 Mathematical Control and Related Fields 15 Journal of Computational and Applied Mathematics 15 Optimization and Engineering 14 Computational Optimization and Applications 13 Applicable Analysis 12 Nonlinear Analysis. Real World Applications 10 Computer Methods in Applied Mechanics and Engineering 10 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Acta Applicandae Mathematicae 9 SIAM Journal on Scientific Computing 9 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 8 Computers & Mathematics with Applications 8 Journal of Scientific Computing 8 Journal of Evolution Equations 8 Sibirskie Èlektronnye Matematicheskie Izvestiya 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 Evolution Equations and Control Theory 7 International Journal of Control 7 Quarterly of Applied Mathematics 7 Chinese Annals of Mathematics. Series B 7 MCSS. Mathematics of Control, Signals, and Systems 7 Discrete and Continuous Dynamical Systems 7 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 7 Journal of Dynamical and Control Systems 6 Journal of Computational Physics 6 Zeitschrift für Analysis und ihre Anwendungen 5 Journal of Mathematical Physics 5 Applied Mathematics and Computation 5 Applied Numerical Mathematics 5 SIAM Journal on Mathematical Analysis 5 Mathematical Programming. Series A. Series B 5 European Journal of Control 5 Journal of Vibration and Control 5 Mathematics and Mechanics of Solids 5 Discrete and Continuous Dynamical Systems. Series B 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Discrete and Continuous Dynamical Systems. Series S 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 European Journal of Operational Research 4 Vietnam Journal of Mathematics 4 Optimization Methods & Software 4 Mathematical Methods of Operations Research 4 Journal of Inequalities and Applications 4 Journal of Hyperbolic Differential Equations 4 Boundary Value Problems 3 Computers and Fluids 3 International Journal of Engineering Science 3 Journal of the Franklin Institute 3 Integral Equations and Operator Theory 3 International Journal for Numerical Methods in Engineering 3 Mathematics and Computers in Simulation 3 Ricerche di Matematica 3 Optimization 3 Applied Mathematics Letters 3 Mathematical and Computer Modelling 3 Communications in Partial Differential Equations 3 SIAM Journal on Optimization 3 Journal of Computer and Systems Sciences International 3 Journal of Mathematical Sciences (New York) 3 Journal of Inverse and Ill-Posed Problems 3 Journal of Applied Mechanics and Technical Physics 3 Differential Equations 3 Journal of Systems Science and Complexity 3 Structural and Multidisciplinary Optimization 3 Inverse Problems and Imaging 3 Nonlinear Analysis. Hybrid Systems 3 Mathematical Modelling of Natural Phenomena 3 SIAM Journal on Imaging Sciences 3 Numerical Algebra, Control and Optimization 3 Arabian Journal of Mathematics 3 Nonlinear Analysis. Theory, Methods & Applications 2 Inverse Problems 2 Ukrainian Mathematical Journal 2 Wave Motion 2 Mathematics of Computation 2 Collectanea Mathematica 2 Journal of Functional Analysis 2 Numerical Functional Analysis and Optimization 2 SIAM Journal on Numerical Analysis 2 Transactions of the American Mathematical Society 2 Optimal Control Applications & Methods 2 Computational Mechanics 2 Numerical Methods for Partial Differential Equations 2 Asymptotic Analysis 2 Journal of Global Optimization 2 Computational Mathematics and Mathematical Physics 2 Applied Mathematical Modelling ...and 113 more Serials all top 5 Cited in 40 Fields 509 Partial differential equations (35-XX) 302 Systems theory; control (93-XX) 288 Mechanics of deformable solids (74-XX) 249 Calculus of variations and optimal control; optimization (49-XX) 118 Numerical analysis (65-XX) 109 Operations research, mathematical programming (90-XX) 86 Fluid mechanics (76-XX) 44 Operator theory (47-XX) 37 Ordinary differential equations (34-XX) 24 Integral equations (45-XX) 18 Dynamical systems and ergodic theory (37-XX) 14 Biology and other natural sciences (92-XX) 11 Functional analysis (46-XX) 10 Combinatorics (05-XX) 10 Mechanics of particles and systems (70-XX) 10 Optics, electromagnetic theory (78-XX) 9 Real functions (26-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Probability theory and stochastic processes (60-XX) 8 Statistical mechanics, structure of matter (82-XX) 8 Information and communication theory, circuits (94-XX) 7 Computer science (68-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Quantum theory (81-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Manifolds and cell complexes (57-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 (73-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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