Edit Profile (opens in new tab) Hoffmann, Karl-Heinz Compute Distance To: Compute Author ID: hoffmann.karl-heinz.1 Published as: Hoffmann, K.-H.; Hoffmann, Karl-Heinz; Hoffmann, K. H.; Hoffmann, K.-H more...less External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 153 Publications since 1969, including 11 Books 17 Contributions as Editor · 1 Further Contribution Reviewing Activity: 15 Reviews Biographic References: 1 Publication Co-Authors: 93 Co-Authors with 154 Joint Publications 2,411 Co-Co-Authors all top 5 Co-Authors 12 single-authored 34 Botkin, Nikolai D. 16 Sprekels, Jürgen 11 Chen, Zhiming 10 Kovtanyuk, Andrey Egorovich 9 Chebotarev, Alexander Yurievich 9 Turova, Varvara L. 8 Brosowski, Bruno 7 Schäfer, Eugen 7 Starovoitov, Victor Nikolayevich 7 Weber, Hellmut 6 Zou, Jun 5 Hämmerlin, Günther 5 Khludnev, Aleksandr Mikhaĭlovich 5 Rybka, Piotr 4 Grenkin, Gleb Vladimirovich 4 Jiang, Lishang 4 Mayer, Natalie 4 Meirmanov, Anvarbek Mukatovich 4 Niezgódka, Marek 4 Roubíček, Tomáš 3 Kenmochi, Nobuyuki 3 Kornstädt, Hans-Joachim 3 Krabs, Werner 3 Zochowski, Antoni 2 Amler, T. G. 2 Cialkowski, Michal Jacek 2 Frąckowiak, Andrzej 2 Götz, Ivan G. 2 Hämmerlein, G. 2 Haslinger, Jaroslav 2 Kolumbán, József 2 Kubo, Masahiro 2 Leugering, Günter 2 Tiba, Dan 2 Tröltzsch, Fredi 2 Voigt, Axel 2 Yamazaki, Noriaki 2 Zheng, Songmu 1 Aiki, Toyohiko 1 Albrecht, Julius 1 Alt, Hans Wilhelm 1 Altenmüller, G. Hartmut 1 Anderssen, Robert Scott 1 Antontsev, Stanislav Nikolaevich 1 Bauer, Hans-Jörg 1 Baumeister, Johann 1 Böhning, Dankmar 1 Collatz, Lothar 1 Colli, Pierluigi 1 de Groot, Class 1 Friedman, Avner 1 Getz, I. G. 1 Gorenflo, Rudolf 1 Hanf, M. 1 Hiriart-Urruty, Jean-Baptiste 1 Hoppe, Ronald H. W. 1 Huo, Yongzhong 1 Jäger, Willi 1 Jochum, Peter 1 Jörn, E. 1 Knabner, Peter 1 Kočvara, Michal 1 Koller, Theodor 1 Lasiecka, Irena 1 Lemaréchal, Claude 1 Liang, Jin 1 Liu, Kunkun 1 Liu, Xiyuan 1 Lohmann, Thomas Wilhelm 1 Lorenz, J. 1 Mäkinen, Raino A. E. 1 Marx, David 1 Metzger, Michael 1 Meyer, Gunter H. 1 Okazaki, Takanobu 1 Peikert, Ronald 1 Pykhteev, Oleg A. 1 Ruf, K. A. 1 Schmidt, C. 1 Schulz, Volker H. 1 Schunck, Hermann 1 Senouci-Bereksi, Ghouti 1 Shen, Weixi 1 Showalter, Ralph E. 1 Sokołowski, Jan 1 Songmu, Zheng 1 Stockert, E.v. 1 Visintin, Augusto 1 Wilczok, Elke 1 Witterstein, Gabriele 1 Würtz, Diethelm 1 Yamamoto, Masahiro 1 Yu, Wanghui 1 Zhu, Ning 1 Zowe, Jochem all top 5 Serials 12 Advances in Mathematical Sciences and Applications 12 ISNM. International Series of Numerical Mathematics 11 Numerical Functional Analysis and Optimization 9 Mathematical Methods in the Applied Sciences 8 Journal of Mathematical Analysis and Applications 5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Numerische Mathematik 3 Analysis (München) 3 Nonlinear Analysis. Theory, Methods & Applications 2 IMA Journal of Numerical Analysis 2 International Journal of Heat and Mass Transfer 2 Applied Mathematics and Computation 2 Control and Cybernetics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 Communications in Partial Differential Equations 2 SIAM Journal on Applied Mathematics 2 Matemática Aplicada e Computacional 2 Communications in Nonlinear Science and Numerical Simulation 2 Springer-Lehrbuch 1 Dinamika Sploshnoĭ Sredy 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Computational Physics 1 Journal of Fluid Mechanics 1 Journal of the Franklin Institute 1 Journal of the Institute of Mathematics and its Applications 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Applied Mathematics and Optimization 1 Computing 1 Journal of Differential Equations 1 Journal of Optimization Theory and Applications 1 Manuscripta Mathematica 1 Mathematische Operationsforschung und Statistik. Series Statistics 1 Quarterly of Applied Mathematics 1 SIAM Journal on Control and Optimization 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Parallel Computing 1 European Journal of Applied Mathematics 1 Applied Mathematical Modelling 1 Journal of Statistical Computation and Simulation 1 Nova Acta Leopoldina. Neue Folge 1 SIAM Journal on Mathematical Analysis 1 Journal of Partial Differential Equations 1 SIAM Journal on Scientific Computing 1 Documenta Mathematica 1 Communications in Applied Analysis 1 Spektrum der Wissenschaft 1 Dynamics of Partial Differential Equations 1 Inverse Problems in Science and Engineering 1 Lecture Notes in Control and Information Sciences 1 Undergraduate Texts in Mathematics 1 Mathematik Kompakt all top 5 Fields 100 Partial differential equations (35-XX) 53 Calculus of variations and optimal control; optimization (49-XX) 51 Numerical analysis (65-XX) 34 Classical thermodynamics, heat transfer (80-XX) 29 Mechanics of deformable solids (74-XX) 20 General and overarching topics; collections (00-XX) 20 Fluid mechanics (76-XX) 16 Systems theory; control (93-XX) 15 Statistical mechanics, structure of matter (82-XX) 11 Approximations and expansions (41-XX) 11 Operations research, mathematical programming (90-XX) 8 Functional analysis (46-XX) 7 Biology and other natural sciences (92-XX) 5 Operator theory (47-XX) 5 Optics, electromagnetic theory (78-XX) 3 Computer science (68-XX) 2 Ordinary differential equations (34-XX) 2 Integral equations (45-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 General topology (54-XX) 1 Algebraic topology (55-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 119 Publications have been cited 906 times in 654 Documents Cited by ▼ Year ▼ On a non-stationary Ginzburg-Landau superconductivity model. Zbl 0817.35111Chen, Zhiming; Hoffmann, K.-H.; Liang, Jin 60 1993 Convergence of solutions to Cahn-Hilliard equation. Zbl 0936.35032Rybka, Piotr; Hoffmann, Karl-Heinz 59 1999 On a motion of a solid body in a viscous fluid. Two-dimensional case. Zbl 0966.76016Hoffmann, K.-H.; Starovoitov, V. N. 51 1999 Optimal control of a phase field model for solidification. Zbl 0724.49003Hoffmann, K.-H.; Jiang, L. 38 1992 Parallel solution of variational inequality problems with nonlinear source terms. Zbl 0848.65055Hoffmann, K.-H.; Zou, Jun 37 1996 Unique solvability of a steady-state complex heat transfer model. Zbl 1308.80002Kovtanyuk, Andrey E.; Chebotarev, Alexander Yu.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 30 2015 The unique solvability of a complex 3D heat transfer problem. Zbl 1343.35230Kovtanyuk, Andrey E.; Chebotarev, Alexander Yu.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 29 2014 Higher order necessary conditions in abstract mathematical programming. Zbl 0373.90066Hoffmann, K. H.; Kornstaedt, H. J. 27 1978 Theoretical analysis of an optimal control problem of conductive-convective-radiative heat transfer. Zbl 1337.49006Kovtanyuk, Andrey E.; Chebotarev, Alexander Yu.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 25 2014 Optimal boundary control of a steady-state heat transfer model accounting for radiative effects. Zbl 1337.80004Kovtanyuk, Andrey E.; Chebotarev, Alexander Yu.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 19 2016 Boundary optimal control problem of complex heat transfer model. Zbl 1326.35412Grenkin, Gleb V.; Chebotarev, Alexander Yu.; Kovtanyuk, Andrey E.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 19 2016 Existence and uniqueness of global solutions to an extended model of the dynamical developments in shape memory alloys. Zbl 0728.35055Hoffmann, K.-H.; Niezgódka, M.; Zheng, Songmu 18 1990 Numerical studies of a non-stationary Ginzburg-Landau model for superconductivity. Zbl 0846.65051Chen, Zhiming; Hoffmann, K.-H. 17 1995 A nonlinear evolution problem describing multi-component phase changes with dissipation. Zbl 0828.35134Colli, Pierluigi; Hoffmann, Karl-Heinz 17 1993 On a motion of a ball in a viscous fluid. (Zur Bewegung einer Kugel in einer zähen Flüssigkeit.) Zbl 0936.35125Hoffmann, Karl-Heinz; Starovoitov, Victor N. 16 2000 Optimal control problems for models of phase-field type with hysteresis of play operator. Zbl 1287.49005Hoffmann, Karl-Heinz; Kenmochi, Nobuyuki; Kubo, Masahiro; Yamazaki, Noriaki 15 2007 Drag on spheres in micropolar fluids with non-zero boundary conditions for microrotations. Zbl 1141.76333Hoffmann, Karl-Heinz; Marx, David; Botkin, Nikolai D. 15 2007 Inverse problem with finite overdetermination for steady-state equations of radiative heat exchange. Zbl 1478.35235Chebotarev, Alexander Yu.; Grenkin, Gleb V.; Kovtanyuk, Andrey E.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 14 2018 Nondegeneracy of optimality conditions in control problems for a radiative-conductive heat transfer model. Zbl 1410.49004Chebotarev, Alexander Yu.; Kovtanyuk, Andrey E.; Grenkin, Gleb V.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 14 2016 Numerical mathematics. 2. Aufl. (Numerische Mathematik.) Zbl 0713.65001Hämmerlin, Günther; Hoffmann, Karl-Heinz 13 1991 On the identification of coefficients of elliptic problems by asymptotic regularization. Zbl 0576.65121Hoffmann, K.-H.; Sprekels, Jürgen 13 1984 Stable numerical schemes for solving Hamilton-Jacobi-Bellman-Isaacs equations. Zbl 1229.49041Botkin, Nikolai D.; Hoffmann, Karl-Heinz; Turova, Varvara L. 12 2011 Real-time control of the free boundary in a two-phase Stefan problem. Zbl 0502.49005Hoffmann, K.-H.; Sprekels, J. 12 1982 Convergence of solutions to the equation of quasi-static approximation of viscoelasticity with capillarity. Zbl 0919.35022Rybka, Piotr; Hoffmann, Karl-Heinz 12 1998 Global classical solutions to a non-isothermal dynamical Ginzburg-Landau model in superconductivity. Zbl 0904.35036Chen, Zhiming; Hoffmann, K.-H. 12 1997 Uniqueness for structural phase transitions in shape memory alloys. Zbl 0655.35012Hoffmann, K.-H.; Songmu, Zheng 10 1988 Numerical simulations of a coupled radiative-conductive heat transfer model using a modified Monte Carlo method. Zbl 1262.80032Kovtanyuk, Andrey E.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 10 2012 Parallel algorithms of Schwarz variant for variational inequalities. Zbl 0759.65039Hoffmann, K.-H.; Zou, J. 10 1992 Solvability of \(P_{1}\) approximation of a conductive-radiative heat transfer problem. Zbl 1338.80015Kovtanyuk, Andrey E.; Chebotarev, Alexander Yu.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 9 2014 On the identification of parameters in general variational inequalities by asymptotic regularization. Zbl 0652.35103Hoffmann, K.-H.; Sprekels, J. 9 1986 Existence of solutions to some nonlinear thermoelastic systems with viscosity. Zbl 0745.35022Hoffmann, K.-H.; Zochowski, A. 9 1992 Control of free boundary problems with hysteresis. Zbl 0719.49006Friedman, Avner; Hoffmann, Karl-Heinz 8 1988 Numerische Mathematik. (Numerical mathematics). Zbl 0669.65001Hämmerlin, Günther; Hoffmann, Karl-Heinz 8 1989 Numerical techniques for estimating probabilities. Zbl 0478.65087Boehning, Dankmar; Hoffmann, Karl-Heinz 8 1982 Fictitious domain method for the Signorini problem in a linear elasticity. Zbl 1134.74368Hoffmann, Karl-Heinz; Khludnev, Alexander 8 2004 On a one-dimensional nonlinear thermoviscoelastic model for structural phase transitions in shape memory alloys. Zbl 0807.73029Chen, Zhiming; Hoffmann, K.-H. 8 1994 Identification of hysteresis loops. Zbl 0659.65125Hoffmann, K.-H.; Sprekels, J.; Visintin, A. 7 1988 Feedback control via thermostats of multidimensional two-phase Stefan problems. Zbl 0752.49004Hoffmann, K.-H.; Sprekels, J.; Niezgódka, M. 7 1990 Phase transitions of liquid-liquid type with convection. Zbl 0958.35152Hoffmann, K.-H.; Starovoitov, V. N. 7 1998 About the concept of measure-valued solutions to distributed parameter systems. Zbl 0828.35024Roubíček, Tomáš; Hoffmann, Karl-Heinz 7 1995 Periodic solutions of the Stefan problem with hysteresis-type boundary conditions. Zbl 0788.35153Götz, Ivan G.; Hoffmann, Karl-Heinz; Meirmanov, Anvarbek M. 7 1993 Diffusion approximation of the radiative-conductive heat transfer model with Fresnel matching conditions. Zbl 07263287Chebotarev, Alexander Yu.; Grenkin, Gleb V.; Kovtanyuk, Andrey E.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 7 2018 An error estimate for a finite-element scheme for a phase field model. Zbl 0801.65091Chen, Zhiming; Hoffmann, K.-H. 6 1994 The variational contact problem for elastic objects of different dimensions. Zbl 1115.74038Khludnev, A. M.; Hoffmann, Karl-Heinz; Botkin, N. D. 6 2006 A least squares method for finding the Preisach hysteresis operator from measurements. Zbl 0684.65008Hoffmann, K.-H.; Meyer, G. H. 5 1989 Approximation schemes for solving disturbed control problems with non-terminal time and state constraints. Zbl 1235.49073Botkin, Nikolai D.; Hoffmann, Karl-Heinz; Mayer, Natalie; Turova, Varvara L. 5 2011 Analysis of the thermoelastic model of a plate with non-linear shape memory alloy reinforcements. Zbl 0795.35017Hoffmann, K.-H.; Zochowski, A. 5 1992 Control fictitious domain method for solving optimal shape design problems. Zbl 0772.65043Haslinger, J.; Hoffmann, K.-H.; Kočvara, M. 5 1993 Models of superconducting-normal-superconducting junctions. Zbl 0899.35045Hoffmann, K. H.; Jiang, Lishang; Yu, Wanghui; Zhu, Ning 5 1998 The Stefan problem with surface tension and convection in Stokes fluid. Zbl 0958.35153Hoffmann, K.-H.; Starovoitov, V. N. 5 1998 Finite element approximations of Landau-Ginzburg’s equation model for structural phase transitions in shape memory alloys. Zbl 0929.65085Hoffmann, K.-H.; Zou, Jun 5 1995 Optimal control/dual approach for the numerical solution of a dam problem. Zbl 0784.49005Haslinger, J.; Hoffmann, K.-H.; Mäkinen, R. A. E. 5 1993 Parallel efficiency of domain decomposition methods. Zbl 0797.68004Hoffmann, K.-H.; Zou, Jun 5 1993 Homogenization of von Kármán plates excited by piezoelectric patches. Zbl 0963.35015Hoffmann, K.-H.; Botkin, N. D. 4 2000 Numerical solutions of an optimal control problem governed by a Ginzburg-Landau model in superconductivity. Zbl 0915.65068Chen, Zhiming; Hoffmann, K.-H. 4 1998 Numerical simulations of dynamical Ginzburg-Landau vortices in superconductivity. Zbl 0822.65108Chen, Z.; Hoffmann, K.-H. 4 1994 Generic uniqueness and stability in some inverse parabolic problem. Zbl 0804.35149Hoffmann, Karl-Heinz; Yamamoto, Masahiro 4 1993 Real-time control in a free boundary problem connected with the continuous casting of steel. Zbl 0551.49004Hoffmann, K.-H.; Sprekels, J. 4 1984 A numerical procedure to slve certain identification problems. Zbl 0653.65084Alt, H. W.; Hoffmann, K.-H.; Sprekels, J. 3 1984 Verallgemeinerte Differenzierbarkeitsbegriffe und ihre Anwendung in der Optimierungstheorie. Zbl 0274.49008Hoffmann, K.-H.; Kolumban, I. 3 1974 Stetigkeitssätze für metrische Projektionen. III. Eine Fixpunkteigenschaft der metrischen Projektionen. Zbl 0208.38402Brosowski, B.; Hoffmann, K. H.; Schäfer, E.; Weber, H. 3 1969 On convergence of solutions to the equation of viscoelasticity with capillarity. Zbl 0980.35035Hoffmann, Karl-Heinz; Rybka, Piotr 3 2000 Ginzburg-Landau phase transition theory and superconductivity. Zbl 1115.82040Hoffmann, K.-H.; Tang, Q. 3 2001 Analyticity of the nonlinear term forces convergence of solutions to two equations of continuum mechanics. Zbl 1290.35266Hoffmann, Karl-Heinz; Rybka, Piotr 3 2002 Theory of convex local compactifications with applications to Lebesgue spaces. Zbl 1129.46306Roubíček, Tomáš; Hoffmann, Karl-Heinz 3 1995 The method of asymptotic regularization and restricted parameter identification problems in variational inequalities. Zbl 0594.35043Hoffmann, K. H.; Sprekels, J. 3 1985 Iterative algorithm for solving the inverse heat conduction problems with the unknown source function. Zbl 1329.65210Frąckowiak, Andrzej; Botkin, Nikolai D.; Ciałkowski, Michał; Hoffmann, Karl-Heinz 3 2015 Eine Variationsungleichung und Anwendungen. Zbl 0268.49023Brosowski, B.; Hoffmann, K.-H. 2 1974 Nichtlineare Tschebyscheff-Approximation mit Nebenbedingungen: Anwendungen. Zbl 0181.17701Hoffmann, K. H. 2 1970 Über ein Eindeutigkeitskriterium bei der Tschebyscheff-Approximation mit regulären Funktionensystemen. Zbl 0188.12901Hoffmann, K.-H. 2 1969 Stetigkeitssätze für metrische Projektionen. I. Metrische Projektionen auf lineare Teilräume von \(C_0[Q,H]\). Zbl 0208.38303Brosowski, B.; Hoffmann, K. H.; Schäfer, E.; Weber, H. 2 1969 Stetigkeitssätze für metrische Projektionen. IV. Eine hinreichende Bedingung für die \({\mathfrak T}_ u\)-Stetigkeit der metrischen Projektionen. Zbl 0208.38501Brosowski, B.; Hoffmann, K. H.; Schäfer, E.; Weber, H. 2 1969 A fitting algorithm for solving inverse problems of heat conduction. Zbl 1191.80038Frąckowiak, Andrzej; Botkin, Nikolai D.; Ciałkowski, Michał; Hoffmann, Karl-Heinz 2 2010 Numerical solutions of the optimal control problem governed by a phase field model. Zbl 0760.49019Chen, Zhiming; Hoffmann, K.-H. 2 1991 Freie Randwertprobleme. Zbl 0464.35098Hoffmann, K.-H.; Knabner, P. 2 1979 Control of the thermoelastic model of a plate activated by shape memory alloy reinforcements. Zbl 0908.49004Hoffmann, K.-H.; Żochowski, A. 2 1998 Finite element analysis on the Lawrence-Doniach model for layered superconductors. Zbl 1114.65349Hoffmann, K.-H.; Zou, Jun 2 1997 The global behavior of elastoplastic and viscoelastic materials with hysteresis-type state equations. Zbl 0907.35131Anderssen, Robert S.; Götz, Ivan G.; Hoffmann, Karl-Heinz 2 1998 Thermomechanical evolution of a microstructure. Zbl 0815.49029Hoffmann, Karl-Heinz; Roubíček, Tomáš 2 1994 Optimal control of dynamical Ginzburg-Landau vortices in superconductivity. Zbl 0857.49014Chen, Zhiming; Hoffmann, K.-H. 2 1996 Control of a plate with nonlinear shape memory alloy reinforcements. Zbl 0923.73040Hoffmann, K.-H.; Tiba, D. 2 1997 Homogenization of a model describing vibration of nonlinear thin plates excited by piezopatches. Zbl 0934.35018Hoffmann, Karl-Heinz; Botkin, Nikolai D. 2 1999 Optimal control problems for elliptic–Parabolic variational inequalities with time-Dependent constraints. Zbl 1101.49005Hoffmann, Karl-Heinz; Kubo, Masahiro; Yamazaki, Noriaki 2 2006 Dispersion relations for acoustic waves in heterogeneous multi-layered structures contacting with fluids. Zbl 1269.74050Botkin, N. D.; Hoffmann, K.-H.; Pykhteev, O. A.; Turova, V. L. 2 2007 Towards the identification of ordinary differential equations from measurements. Zbl 0665.34013Hoffmann, K.-H.; Sprekels, J. 1 1988 Two-phase Stefan problems with feedback controls. Zbl 0699.35268Hoffmann, K.-H.; Kenmochi, N. 1 1989 Computation of value functions in nonlinear differential games with state constraints. Zbl 1266.49072Botkin, Nikolai; Hoffmann, Karl-Heinz; Mayer, Natalie; Turova, Varvara 1 2013 The existence and uniqueness of global solutions to a mathematical model for shape memory alloys. Zbl 0841.73032Hoffmann, K.-H.; Zou, Jun 1 1995 Numerical solution of a parabolic free boundary problem via Newton’s method. Zbl 0424.65054Baumeister, J.; Hoffmann, K.-H.; Jochum, P. 1 1980 Stetigkeitssätze für metrische Projektionen. II. (P)-Räume und \({\mathfrak T}_ S\)-Stetigkeit der metrischen Projektionen. Zbl 0208.38401Brosowski, B.; Hoffmann, K. H.; Schäfer, E.; Weber, H. 1 1969 Stetigkeitssätze für metrische Projektionen. Zbl 0208.38601Brosowski, B.; Hoffmann, K. H.; Schäfer, E.; Weber, H. 1 1970 Transport equation with boundary conditions of hysteresis type. Zbl 1194.35199Amler, T. G.; Botkin, N. D.; Hoffmann, K.-H.; Meirmanov, A. M.; Starovoitov, V. N. 1 2009 Description of adhering with saturation using boundary conditions of hysteresis type. Zbl 1224.35196Botkin, N. D.; Hoffmann, K.-H.; Meirmanov, A. M.; Starovoitov, V. N. 1 2005 Optimal control in cryopreservation of cells and tissues. Zbl 1157.92014Hoffmann, K.-H.; Botkin, N. D. 1 2008 Optimal control of ice formation in living cells during freezing. Zbl 1221.74060Botkin, N. D.; Hoffmann, K.-H.; Turova, V. L. 1 2011 Numerical mathematics. Transl. from the German by Larry Schumaker. Zbl 0709.65001Hämmerlin, Günther; Hoffmann, Karl-Heinz 1 1991 A variational inequality in a contact elastoplastic problem for a bar. Zbl 0747.73041Khludnev, A. M.; Hoffmann, K.-H. 1 1992 Numerische Mathematik. 3., unveränd. Aufl. Zbl 0753.65001Hämmerlin, Günther; Hoffmann, Karl-Heinz 1 1992 Zum inversen Stefan-Problem. Zbl 0441.65086Hoffmann, Karl-Heinz; Kornstaedt, Hans-Joachim 1 1980 Identifizierungsprobleme bei partiellen Differentialgleichungen. Zbl 0466.65069Hoffmann, K.-H. 1 1981 Inverse problem with finite overdetermination for steady-state equations of radiative heat exchange. Zbl 1478.35235Chebotarev, Alexander Yu.; Grenkin, Gleb V.; Kovtanyuk, Andrey E.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 14 2018 Diffusion approximation of the radiative-conductive heat transfer model with Fresnel matching conditions. Zbl 07263287Chebotarev, Alexander Yu.; Grenkin, Gleb V.; Kovtanyuk, Andrey E.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 7 2018 Optimal boundary control of a steady-state heat transfer model accounting for radiative effects. Zbl 1337.80004Kovtanyuk, Andrey E.; Chebotarev, Alexander Yu.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 19 2016 Boundary optimal control problem of complex heat transfer model. Zbl 1326.35412Grenkin, Gleb V.; Chebotarev, Alexander Yu.; Kovtanyuk, Andrey E.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 19 2016 Nondegeneracy of optimality conditions in control problems for a radiative-conductive heat transfer model. Zbl 1410.49004Chebotarev, Alexander Yu.; Kovtanyuk, Andrey E.; Grenkin, Gleb V.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 14 2016 Unique solvability of a steady-state complex heat transfer model. Zbl 1308.80002Kovtanyuk, Andrey E.; Chebotarev, Alexander Yu.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 30 2015 Iterative algorithm for solving the inverse heat conduction problems with the unknown source function. Zbl 1329.65210Frąckowiak, Andrzej; Botkin, Nikolai D.; Ciałkowski, Michał; Hoffmann, Karl-Heinz 3 2015 The unique solvability of a complex 3D heat transfer problem. Zbl 1343.35230Kovtanyuk, Andrey E.; Chebotarev, Alexander Yu.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 29 2014 Theoretical analysis of an optimal control problem of conductive-convective-radiative heat transfer. Zbl 1337.49006Kovtanyuk, Andrey E.; Chebotarev, Alexander Yu.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 25 2014 Solvability of \(P_{1}\) approximation of a conductive-radiative heat transfer problem. Zbl 1338.80015Kovtanyuk, Andrey E.; Chebotarev, Alexander Yu.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 9 2014 Computation of value functions in nonlinear differential games with state constraints. Zbl 1266.49072Botkin, Nikolai; Hoffmann, Karl-Heinz; Mayer, Natalie; Turova, Varvara 1 2013 Regularity of solutions of a phase field model. Zbl 1288.35288Amler, T. G.; Botkin, N. D.; Hoffmann, K.-H.; Ruf, K. A. 1 2013 Numerical simulations of a coupled radiative-conductive heat transfer model using a modified Monte Carlo method. Zbl 1262.80032Kovtanyuk, Andrey E.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 10 2012 Stable numerical schemes for solving Hamilton-Jacobi-Bellman-Isaacs equations. Zbl 1229.49041Botkin, Nikolai D.; Hoffmann, Karl-Heinz; Turova, Varvara L. 12 2011 Approximation schemes for solving disturbed control problems with non-terminal time and state constraints. Zbl 1235.49073Botkin, Nikolai D.; Hoffmann, Karl-Heinz; Mayer, Natalie; Turova, Varvara L. 5 2011 Optimal control of ice formation in living cells during freezing. Zbl 1221.74060Botkin, N. D.; Hoffmann, K.-H.; Turova, V. L. 1 2011 A fitting algorithm for solving inverse problems of heat conduction. Zbl 1191.80038Frąckowiak, Andrzej; Botkin, Nikolai D.; Ciałkowski, Michał; Hoffmann, Karl-Heinz 2 2010 Transport equation with boundary conditions of hysteresis type. Zbl 1194.35199Amler, T. G.; Botkin, N. D.; Hoffmann, K.-H.; Meirmanov, A. M.; Starovoitov, V. N. 1 2009 Optimal control in cryopreservation of cells and tissues. Zbl 1157.92014Hoffmann, K.-H.; Botkin, N. D. 1 2008 Optimal control problems for models of phase-field type with hysteresis of play operator. Zbl 1287.49005Hoffmann, Karl-Heinz; Kenmochi, Nobuyuki; Kubo, Masahiro; Yamazaki, Noriaki 15 2007 Drag on spheres in micropolar fluids with non-zero boundary conditions for microrotations. Zbl 1141.76333Hoffmann, Karl-Heinz; Marx, David; Botkin, Nikolai D. 15 2007 Dispersion relations for acoustic waves in heterogeneous multi-layered structures contacting with fluids. Zbl 1269.74050Botkin, N. D.; Hoffmann, K.-H.; Pykhteev, O. A.; Turova, V. L. 2 2007 The variational contact problem for elastic objects of different dimensions. Zbl 1115.74038Khludnev, A. M.; Hoffmann, Karl-Heinz; Botkin, N. D. 6 2006 Optimal control problems for elliptic–Parabolic variational inequalities with time-Dependent constraints. Zbl 1101.49005Hoffmann, Karl-Heinz; Kubo, Masahiro; Yamazaki, Noriaki 2 2006 Description of adhering with saturation using boundary conditions of hysteresis type. Zbl 1224.35196Botkin, N. D.; Hoffmann, K.-H.; Meirmanov, A. M.; Starovoitov, V. N. 1 2005 Homogenization of interfaces between rapidly oscillating fine elastic structures and fluids. Zbl 1078.74040Hoffmann, K.-H.; Botkin, N. D.; Starovoitov, V. N. 1 2005 Fictitious domain method for the Signorini problem in a linear elasticity. Zbl 1134.74368Hoffmann, Karl-Heinz; Khludnev, Alexander 8 2004 Vibration of a shape memory alloy wire. Zbl 1085.35047Hoffmann, K.-H.; Showalter, R. E. 1 2003 Analyticity of the nonlinear term forces convergence of solutions to two equations of continuum mechanics. Zbl 1290.35266Hoffmann, Karl-Heinz; Rybka, Piotr 3 2002 Optimal control of complex structures. Proceedings of the international conference, Oberwolfach, Germany, June 4–10, 2000. Zbl 0997.00022 1 2002 Ginzburg-Landau phase transition theory and superconductivity. Zbl 1115.82040Hoffmann, K.-H.; Tang, Q. 3 2001 On a motion of a ball in a viscous fluid. (Zur Bewegung einer Kugel in einer zähen Flüssigkeit.) Zbl 0936.35125Hoffmann, Karl-Heinz; Starovoitov, Victor N. 16 2000 Homogenization of von Kármán plates excited by piezoelectric patches. Zbl 0963.35015Hoffmann, K.-H.; Botkin, N. D. 4 2000 On convergence of solutions to the equation of viscoelasticity with capillarity. Zbl 0980.35035Hoffmann, Karl-Heinz; Rybka, Piotr 3 2000 On cracks of minimal opening in thermoelastic plates. Zbl 0992.74061Hoffmann, K.-H.; Khludnev, A. M. 1 2000 Convergence of solutions to Cahn-Hilliard equation. Zbl 0936.35032Rybka, Piotr; Hoffmann, Karl-Heinz 59 1999 On a motion of a solid body in a viscous fluid. Two-dimensional case. Zbl 0966.76016Hoffmann, K.-H.; Starovoitov, V. N. 51 1999 Homogenization of a model describing vibration of nonlinear thin plates excited by piezopatches. Zbl 0934.35018Hoffmann, Karl-Heinz; Botkin, Nikolai D. 2 1999 Optimal control of partial differential equations. Proceedings of the IFIP WG 7. 2 international conference, Chemnitz, Germany, April 20–25, 1998. Zbl 0921.00021 1 1999 Convergence of solutions to the equation of quasi-static approximation of viscoelasticity with capillarity. Zbl 0919.35022Rybka, Piotr; Hoffmann, Karl-Heinz 12 1998 Phase transitions of liquid-liquid type with convection. Zbl 0958.35152Hoffmann, K.-H.; Starovoitov, V. N. 7 1998 Models of superconducting-normal-superconducting junctions. Zbl 0899.35045Hoffmann, K. H.; Jiang, Lishang; Yu, Wanghui; Zhu, Ning 5 1998 The Stefan problem with surface tension and convection in Stokes fluid. Zbl 0958.35153Hoffmann, K.-H.; Starovoitov, V. N. 5 1998 Numerical solutions of an optimal control problem governed by a Ginzburg-Landau model in superconductivity. Zbl 0915.65068Chen, Zhiming; Hoffmann, K.-H. 4 1998 Control of the thermoelastic model of a plate activated by shape memory alloy reinforcements. Zbl 0908.49004Hoffmann, K.-H.; Żochowski, A. 2 1998 The global behavior of elastoplastic and viscoelastic materials with hysteresis-type state equations. Zbl 0907.35131Anderssen, Robert S.; Götz, Ivan G.; Hoffmann, Karl-Heinz 2 1998 Oscillations of nonlinear thin plates excited by piezoelectric patches. Zbl 0907.73051Hoffmann, K.-H.; Botkin, N. D. 1 1998 Global classical solutions to a non-isothermal dynamical Ginzburg-Landau model in superconductivity. Zbl 0904.35036Chen, Zhiming; Hoffmann, K.-H. 12 1997 Finite element analysis on the Lawrence-Doniach model for layered superconductors. Zbl 1114.65349Hoffmann, K.-H.; Zou, Jun 2 1997 Control of a plate with nonlinear shape memory alloy reinforcements. Zbl 0923.73040Hoffmann, K.-H.; Tiba, D. 2 1997 Parallel solution of variational inequality problems with nonlinear source terms. Zbl 0848.65055Hoffmann, K.-H.; Zou, Jun 37 1996 Optimal control of dynamical Ginzburg-Landau vortices in superconductivity. Zbl 0857.49014Chen, Zhiming; Hoffmann, K.-H. 2 1996 Numerical studies of a non-stationary Ginzburg-Landau model for superconductivity. Zbl 0846.65051Chen, Zhiming; Hoffmann, K.-H. 17 1995 About the concept of measure-valued solutions to distributed parameter systems. Zbl 0828.35024Roubíček, Tomáš; Hoffmann, Karl-Heinz 7 1995 Finite element approximations of Landau-Ginzburg’s equation model for structural phase transitions in shape memory alloys. Zbl 0929.65085Hoffmann, K.-H.; Zou, Jun 5 1995 Theory of convex local compactifications with applications to Lebesgue spaces. Zbl 1129.46306Roubíček, Tomáš; Hoffmann, Karl-Heinz 3 1995 The existence and uniqueness of global solutions to a mathematical model for shape memory alloys. Zbl 0841.73032Hoffmann, K.-H.; Zou, Jun 1 1995 Fixed domain methods in variable domain problems. Zbl 0839.35150Hoffmann, K.-H.; Tiba, D. 1 1995 On a one-dimensional nonlinear thermoviscoelastic model for structural phase transitions in shape memory alloys. Zbl 0807.73029Chen, Zhiming; Hoffmann, K.-H. 8 1994 An error estimate for a finite-element scheme for a phase field model. Zbl 0801.65091Chen, Zhiming; Hoffmann, K.-H. 6 1994 Numerical simulations of dynamical Ginzburg-Landau vortices in superconductivity. Zbl 0822.65108Chen, Z.; Hoffmann, K.-H. 4 1994 Thermomechanical evolution of a microstructure. Zbl 0815.49029Hoffmann, Karl-Heinz; Roubíček, Tomáš 2 1994 Optimal control of a fine structure. Zbl 0812.49009Hoffmann, K.-H.; Roubíček, T. 1 1994 Numerical mathematics. 4., nochmals durchges. Aufl. (Numerische Mathematik.) Zbl 0801.65001Hämmerlin, Günther; Hoffmann, Karl-Heinz 1 1994 Asymptotic behaviors of Landau-Devonshire-Ginzburg model for structural phase transitions in shape memory alloys. Zbl 0812.35143Chen, Zhiming; Hoffmann, Karl-Heinz 1 1994 Interface optimization problems for parabolic equations. Zbl 0822.49002Hoffmann, Karl-Heinz; Sokołowski, Jan 1 1994 On a non-stationary Ginzburg-Landau superconductivity model. Zbl 0817.35111Chen, Zhiming; Hoffmann, K.-H.; Liang, Jin 60 1993 A nonlinear evolution problem describing multi-component phase changes with dissipation. Zbl 0828.35134Colli, Pierluigi; Hoffmann, Karl-Heinz 17 1993 Periodic solutions of the Stefan problem with hysteresis-type boundary conditions. Zbl 0788.35153Götz, Ivan G.; Hoffmann, Karl-Heinz; Meirmanov, Anvarbek M. 7 1993 Control fictitious domain method for solving optimal shape design problems. Zbl 0772.65043Haslinger, J.; Hoffmann, K.-H.; Kočvara, M. 5 1993 Optimal control/dual approach for the numerical solution of a dam problem. Zbl 0784.49005Haslinger, J.; Hoffmann, K.-H.; Mäkinen, R. A. E. 5 1993 Parallel efficiency of domain decomposition methods. Zbl 0797.68004Hoffmann, K.-H.; Zou, Jun 5 1993 Generic uniqueness and stability in some inverse parabolic problem. Zbl 0804.35149Hoffmann, Karl-Heinz; Yamamoto, Masahiro 4 1993 Optimal control of a class of phase change processes with terminal state observation. Zbl 0810.49007Hoffmann, Karl-Heinz; Jiang, Lishang; Niezgódka, Marek 1 1993 Optimal control of a phase field model for solidification. Zbl 0724.49003Hoffmann, K.-H.; Jiang, L. 38 1992 Parallel algorithms of Schwarz variant for variational inequalities. Zbl 0759.65039Hoffmann, K.-H.; Zou, J. 10 1992 Existence of solutions to some nonlinear thermoelastic systems with viscosity. Zbl 0745.35022Hoffmann, K.-H.; Zochowski, A. 9 1992 Analysis of the thermoelastic model of a plate with non-linear shape memory alloy reinforcements. Zbl 0795.35017Hoffmann, K.-H.; Zochowski, A. 5 1992 A variational inequality in a contact elastoplastic problem for a bar. Zbl 0747.73041Khludnev, A. M.; Hoffmann, K.-H. 1 1992 Numerische Mathematik. 3., unveränd. Aufl. Zbl 0753.65001Hämmerlin, Günther; Hoffmann, Karl-Heinz 1 1992 Numerical mathematics. 2. Aufl. (Numerische Mathematik.) Zbl 0713.65001Hämmerlin, Günther; Hoffmann, Karl-Heinz 13 1991 Numerical solutions of the optimal control problem governed by a phase field model. Zbl 0760.49019Chen, Zhiming; Hoffmann, K.-H. 2 1991 Numerical mathematics. Transl. from the German by Larry Schumaker. Zbl 0709.65001Hämmerlin, Günther; Hoffmann, Karl-Heinz 1 1991 Existence and uniqueness of global solutions to an extended model of the dynamical developments in shape memory alloys. Zbl 0728.35055Hoffmann, K.-H.; Niezgódka, M.; Zheng, Songmu 18 1990 Feedback control via thermostats of multidimensional two-phase Stefan problems. Zbl 0752.49004Hoffmann, K.-H.; Sprekels, J.; Niezgódka, M. 7 1990 Numerische Mathematik. (Numerical mathematics). Zbl 0669.65001Hämmerlin, Günther; Hoffmann, Karl-Heinz 8 1989 A least squares method for finding the Preisach hysteresis operator from measurements. Zbl 0684.65008Hoffmann, K.-H.; Meyer, G. H. 5 1989 Two-phase Stefan problems with feedback controls. Zbl 0699.35268Hoffmann, K.-H.; Kenmochi, N. 1 1989 Uniqueness for structural phase transitions in shape memory alloys. Zbl 0655.35012Hoffmann, K.-H.; Songmu, Zheng 10 1988 Control of free boundary problems with hysteresis. Zbl 0719.49006Friedman, Avner; Hoffmann, Karl-Heinz 8 1988 Identification of hysteresis loops. Zbl 0659.65125Hoffmann, K.-H.; Sprekels, J.; Visintin, A. 7 1988 Towards the identification of ordinary differential equations from measurements. Zbl 0665.34013Hoffmann, K.-H.; Sprekels, J. 1 1988 On the identification of parameters in general variational inequalities by asymptotic regularization. Zbl 0652.35103Hoffmann, K.-H.; Sprekels, J. 9 1986 The method of asymptotic regularization and restricted parameter identification problems in variational inequalities. Zbl 0594.35043Hoffmann, K. H.; Sprekels, J. 3 1985 Constructive methods for the practical treatment of integral equations. Proceedings of the Conference at the Mathematisches Forschungsinstitut Oberwolfach, June 24-30, 1984. Zbl 0547.00043 1 1985 On the identification of coefficients of elliptic problems by asymptotic regularization. Zbl 0576.65121Hoffmann, K.-H.; Sprekels, Jürgen 13 1984 Real-time control in a free boundary problem connected with the continuous casting of steel. Zbl 0551.49004Hoffmann, K.-H.; Sprekels, J. 4 1984 A numerical procedure to slve certain identification problems. Zbl 0653.65084Alt, H. W.; Hoffmann, K.-H.; Sprekels, J. 3 1984 Optimal control of partial differential equations. Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, December 5-11, 1982. Zbl 0544.00015 1 1984 Improperly posed problems and their numerical treatment. Conference Held at the Mathematisches Forschungsinstitut, Oberwolfach, September 26 - October 2, 1982. Zbl 0507.00012 1 1983 ...and 19 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 744 Authors 33 Chebotarev, Alexander Yurievich 32 Hoffmann, Karl-Heinz 22 Botkin, Nikolai D. 20 Fan, Jishan 17 Kovtanyuk, Andrey Egorovich 15 Zeng, Jinping 14 Colli, Pierluigi 14 Roubíček, Tomáš 12 Turova, Varvara L. 11 Grasselli, Maurizio 11 Grenkin, Gleb Vladimirovich 11 Wu, Hao 10 Zheng, Songmu 9 Miranville, Alain M. 9 Takahashi, Takéo 8 Abdulla, Ugur G. 8 Sprekels, Jürgen 8 Stefanelli, Ulisse 7 Kunisch, Karl 7 Nečasová, Šárka 7 Timoshin, Sergey A. 6 Böhning, Dankmar 6 Gao, Huadong 6 Khludnev, Aleksandr Mikhaĭlovich 6 Krejčí, Pavel 6 Moroşanu, Costică 6 Starovoitov, Victor Nikolayevich 5 Chemetov, Nikolai V. 5 Gilardi, Gianni 5 Li, Buyang 5 Maksimov, Vyacheslav Ivanovich 5 Minchev, Emil 5 Rybka, Piotr 5 Saritskaya, Zhanna Yur’evna 5 Schimperna, Giulio 5 Zheng, Hua 4 Amosov, Andreĭ Avenirovich 4 Balachandran, Krishnan 4 Boldrini, José Luiz 4 Brosowski, Bruno 4 Calsavara, Bianca Morelli Rodolfo 4 Chau, Ming 4 Du, Qiang 4 Fabrizio, Mauro 4 Gnanavel, Soundararajan 4 Gurevich, Pavel L. 4 Gwinner, Joachim 4 Knopf, Patrik 4 Ledzewicz, Urszula 4 Liu, Chun 4 Liu, Ling 4 Marinoschi, Gabriela 4 Nakamura, Gen 4 Niezgódka, Marek 4 Ozawa, Tohru 4 Rocca, Elisabetta 4 Spiteri, Pierre 4 Sun, Weiwei 4 Tolstonogov, Aleksandr Aleksandrovich 4 Vong, Seakweng 4 Wang, Bixiang 4 Xu, Hongru 4 Zheng, Jiashan 4 Zhou, Shuzi 4 Zhou, Yong 3 Abels, Helmut 3 Barani Balan, Natesan 3 Barbu, Viorel 3 Berti, Valeria 3 Bociu, Lorena 3 Chen, Zhiming 3 Gao, Hongjun 3 Giorgi, Claudio 3 Goldfarb, Jonathan M. 3 Haslinger, Jaroslav 3 Hillairet, Matthieu 3 Kaur, Manpreet 3 Kenmochi, Nobuyuki 3 Krishna Prasad, M. 3 Kubo, Masahiro 3 Lampe, Renée 3 Li, Chenliang 3 Li, Qingguo 3 Mesenev, P. R. 3 Petzeltová, Hana 3 Popova, Tatiana Semenovna 3 Rachinskii, Dmitrii I. 3 Rosier, Lionel 3 Saad, Elsayed I. 3 Schättler, Heinz Michael 3 Sueur, Franck 3 Tang, Qi 3 Tang, Tong 3 Toundykov, Daniel 3 Wang, Yifu 3 Wang, Yun 3 Wegmann, Rudolf 3 Yang, Chaoxia 3 Yang, Haijian 3 Yu, Wanghui ...and 644 more Authors all top 5 Cited in 210 Serials 41 Journal of Mathematical Analysis and Applications 19 Journal of Differential Equations 18 Nonlinear Analysis. Theory, Methods & Applications. 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Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 International Journal of Computer Mathematics 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 SIAM Journal on Mathematical Analysis 3 Mathematical Programming. Series A. Series B 3 SIAM Journal on Optimization 3 SIAM Journal on Scientific Computing 3 Abstract and Applied Analysis 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 European Journal of Mechanics. A. Solids 3 European Journal of Mechanics. B. Fluids 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Evolution Equations 3 Milan Journal of Mathematics 3 Sibirskie Èlektronnye Matematicheskie Izvestiya 3 Inverse Problems in Science and Engineering 3 Proceedings of the Steklov Institute of Mathematics 3 Communications in Computational Physics 3 Discrete and Continuous Dynamical Systems. Series S 2 Computers and Fluids 2 Communications in Mathematical Physics 2 International Journal of Heat and Mass Transfer 2 Inverse Problems 2 Journal of the Franklin Institute 2 Journal of Mathematical Biology 2 Journal of the Mechanics and Physics of Solids 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Automatica 2 Mathematics and Computers in Simulation 2 Mathematische Nachrichten 2 Meccanica 2 Osaka Journal of Mathematics 2 Quarterly of Applied Mathematics 2 Transactions of the American Mathematical Society 2 Mathematical and Computer Modelling 2 Journal of Integral Equations and Applications 2 Numerical Algorithms 2 NoDEA. Nonlinear Differential Equations and Applications 2 Advances in Computational Mathematics 2 Engineering Analysis with Boundary Elements 2 Doklady Mathematics 2 Optimization Methods & Software 2 Interfaces and Free Boundaries ...and 110 more Serials all top 5 Cited in 39 Fields 396 Partial differential equations (35-XX) 180 Numerical analysis (65-XX) 117 Calculus of variations and optimal control; optimization (49-XX) 116 Fluid mechanics (76-XX) 105 Mechanics of deformable solids (74-XX) 94 Classical thermodynamics, heat transfer (80-XX) 82 Statistical mechanics, structure of matter (82-XX) 59 Operations research, mathematical programming (90-XX) 57 Systems theory; control (93-XX) 38 Operator theory (47-XX) 23 Ordinary differential equations (34-XX) 22 Dynamical systems and ergodic theory (37-XX) 18 Biology and other natural sciences (92-XX) 15 Optics, electromagnetic theory (78-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Approximations and expansions (41-XX) 12 Functional analysis (46-XX) 12 Statistics (62-XX) 10 Integral equations (45-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Mechanics of particles and systems (70-XX) 6 Real functions (26-XX) 2 Algebraic geometry (14-XX) 2 Potential theory (31-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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