Edit Profile (opens in new tab) Hoffmann, Karl-Heinz Co-Author Distance 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 · Twitter · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 154 Publications since 1969, including 11 Books and 1 Additional arXiv Preprint 17 Contributions as Editor · 1 Further Contribution Reviewing Activity: 15 Reviews Biographic References: 1 Publication Co-Authors: 91 Co-Authors with 155 Joint Publications 2,521 Co-Co-Authors all top 5 Co-Authors 12 single-authored 35 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 Amler, Thomas G. 3 Kenmochi, Nobuyuki 3 Kornstädt, Hans-Joachim 3 Krabs, Werner 3 Zochowski, Antoni 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 Bauer, Hans-Jörg 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 Hoteit, Ibrahim 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 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 Pitman Research Notes in Mathematics Series 2 Springer-Lehrbuch 2 Grundwissen Mathematik 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 101 Partial differential equations (35-XX) 53 Calculus of variations and optimal control; optimization (49-XX) 51 Numerical analysis (65-XX) 36 Classical thermodynamics, heat transfer (80-XX) 29 Mechanics of deformable solids (74-XX) 20 Fluid mechanics (76-XX) 19 General and overarching topics; collections (00-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 122 Publications have been cited 1,051 times in 749 Documents Cited by ▼ Year ▼ On a non-stationary Ginzburg-Landau superconductivity model. Zbl 0817.35111 Chen, Zhiming; Hoffmann, K.-H.; Liang, Jin 68 1993 Convergence of solutions to Cahn-Hilliard equation. Zbl 0936.35032 Rybka, Piotr; Hoffmann, Karl-Heinz 67 1999 On a motion of a solid body in a viscous fluid. Two-dimensional case. Zbl 0966.76016 Hoffmann, K.-H.; Starovoitov, V. N. 63 1999 Optimal control of a phase field model for solidification. Zbl 0724.49003 Hoffmann, K.-H.; Jiang, L. 44 1992 Parallel solution of variational inequality problems with nonlinear source terms. Zbl 0848.65055 Hoffmann, K.-H.; Zou, Jun 38 1996 Unique solvability of a steady-state complex heat transfer model. Zbl 1308.80002 Kovtanyuk, Andrey E.; Chebotarev, Alexander Yu.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 34 2015 The unique solvability of a complex 3D heat transfer problem. Zbl 1343.35230 Kovtanyuk, Andrey E.; Chebotarev, Alexander Yu.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 32 2014 Higher order necessary conditions in abstract mathematical programming. Zbl 0373.90066 Hoffmann, K. H.; Kornstaedt, H. J. 29 1978 Inverse problem with finite overdetermination for steady-state equations of radiative heat exchange. Zbl 1478.35235 Chebotarev, Alexander Yu.; Grenkin, Gleb V.; Kovtanyuk, Andrey E.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 27 2018 Theoretical analysis of an optimal control problem of conductive-convective-radiative heat transfer. Zbl 1337.49006 Kovtanyuk, Andrey E.; Chebotarev, Alexander Yu.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 27 2014 Boundary optimal control problem of complex heat transfer model. Zbl 1326.35412 Grenkin, Gleb V.; Chebotarev, Alexander Yu.; Kovtanyuk, Andrey E.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 26 2016 Nondegeneracy of optimality conditions in control problems for a radiative-conductive heat transfer model. Zbl 1410.49004 Chebotarev, Alexander Yu.; Kovtanyuk, Andrey E.; Grenkin, Gleb V.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 26 2016 Optimal boundary control of a steady-state heat transfer model accounting for radiative effects. Zbl 1337.80004 Kovtanyuk, Andrey E.; Chebotarev, Alexander Yu.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 22 2016 Numerical studies of a non-stationary Ginzburg-Landau model for superconductivity. Zbl 0846.65051 Chen, Zhiming; Hoffmann, K.-H. 20 1995 Existence and uniqueness of global solutions to an extended model of the dynamical developments in shape memory alloys. Zbl 0728.35055 Hoffmann, K.-H.; Niezgódka, M.; Zheng, Songmu 20 1990 A nonlinear evolution problem describing multi-component phase changes with dissipation. Zbl 0828.35134 Colli, Pierluigi; Hoffmann, Karl-Heinz 19 1993 On a motion of a ball in a viscous fluid. (Zur Bewegung einer Kugel in einer zähen Flüssigkeit.) Zbl 0936.35125 Hoffmann, Karl-Heinz; Starovoitov, Victor N. 18 2000 Numerical mathematics. 2. Aufl. (Numerische Mathematik.) Zbl 0713.65001 Hämmerlin, Günther; Hoffmann, Karl-Heinz 18 1991 Drag on spheres in micropolar fluids with non-zero boundary conditions for microrotations. Zbl 1141.76333 Hoffmann, Karl-Heinz; Marx, David; Botkin, Nikolai D. 17 2007 Optimal control problems for models of phase-field type with hysteresis of play operator. Zbl 1287.49005 Hoffmann, Karl-Heinz; Kenmochi, Nobuyuki; Kubo, Masahiro; Yamazaki, Noriaki 15 2007 Stable numerical schemes for solving Hamilton-Jacobi-Bellman-Isaacs equations. Zbl 1229.49041 Botkin, Nikolai D.; Hoffmann, Karl-Heinz; Turova, Varvara L. 14 2011 On the identification of coefficients of elliptic problems by asymptotic regularization. Zbl 0576.65121 Hoffmann, K.-H.; Sprekels, Jürgen 14 1984 Real-time control of the free boundary in a two-phase Stefan problem. Zbl 0502.49005 Hoffmann, K.-H.; Sprekels, J. 13 1982 Convergence of solutions to the equation of quasi-static approximation of viscoelasticity with capillarity. Zbl 0919.35022 Rybka, Piotr; Hoffmann, Karl-Heinz 13 1998 Diffusion approximation of the radiative-conductive heat transfer model with Fresnel matching conditions. Zbl 1510.80023 Chebotarev, Alexander Yu.; Grenkin, Gleb V.; Kovtanyuk, Andrey E.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 13 2018 Global classical solutions to a non-isothermal dynamical Ginzburg-Landau model in superconductivity. Zbl 0904.35036 Chen, Zhiming; Hoffmann, K.-H. 12 1997 Solvability of \(P_{1}\) approximation of a conductive-radiative heat transfer problem. Zbl 1338.80015 Kovtanyuk, Andrey E.; Chebotarev, Alexander Yu.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 11 2014 Numerical simulations of a coupled radiative-conductive heat transfer model using a modified Monte Carlo method. Zbl 1262.80032 Kovtanyuk, Andrey E.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 11 2012 Uniqueness for structural phase transitions in shape memory alloys. Zbl 0655.35012 Hoffmann, K.-H.; Songmu, Zheng 10 1988 Numerical mathematics. Transl. from the German by Larry Schumaker. Zbl 0709.65001 Hämmerlin, Günther; Hoffmann, Karl-Heinz 10 1991 Parallel algorithms of Schwarz variant for variational inequalities. Zbl 0759.65039 Hoffmann, K.-H.; Zou, J. 10 1992 On the identification of parameters in general variational inequalities by asymptotic regularization. Zbl 0652.35103 Hoffmann, K.-H.; Sprekels, J. 9 1986 Approximation schemes for solving disturbed control problems with non-terminal time and state constraints. Zbl 1235.49073 Botkin, Nikolai D.; Hoffmann, Karl-Heinz; Mayer, Natalie; Turova, Varvara L. 9 2011 Existence of solutions to some nonlinear thermoelastic systems with viscosity. Zbl 0745.35022 Hoffmann, K.-H.; Zochowski, A. 9 1992 Numerische Mathematik. (Numerical mathematics). Zbl 0669.65001 Hämmerlin, Günther; Hoffmann, Karl-Heinz 9 1989 Identification of hysteresis loops. Zbl 0659.65125 Hoffmann, K.-H.; Sprekels, J.; Visintin, A. 8 1988 Numerical techniques for estimating probabilities. Zbl 0478.65087 Boehning, Dankmar; Hoffmann, Karl-Heinz 8 1982 Fictitious domain method for the Signorini problem in a linear elasticity. Zbl 1134.74368 Hoffmann, Karl-Heinz; Khludnev, Alexander 8 2004 Control of free boundary problems with hysteresis. Zbl 0719.49006 Friedman, Avner; Hoffmann, Karl-Heinz 8 1988 On a one-dimensional nonlinear thermoviscoelastic model for structural phase transitions in shape memory alloys. Zbl 0807.73029 Chen, Zhiming; Hoffmann, K.-H. 8 1994 The variational contact problem for elastic objects of different dimensions. Zbl 1115.74038 Khludnev, A. M.; Hoffmann, Karl-Heinz; Botkin, N. D. 7 2006 Phase transitions of liquid-liquid type with convection. Zbl 0958.35152 Hoffmann, K.-H.; Starovoitov, V. N. 7 1998 About the concept of measure-valued solutions to distributed parameter systems. Zbl 0828.35024 Roubíček, Tomáš; Hoffmann, Karl-Heinz 7 1995 Feedback control via thermostats of multidimensional two-phase Stefan problems. Zbl 0752.49004 Hoffmann, K.-H.; Sprekels, J.; Niezgódka, M. 7 1990 Periodic solutions of the Stefan problem with hysteresis-type boundary conditions. Zbl 0788.35153 Götz, Ivan G.; Hoffmann, Karl-Heinz; Meirmanov, Anvarbek M. 7 1993 Control fictitious domain method for solving optimal shape design problems. Zbl 0772.65043 Haslinger, J.; Hoffmann, K.-H.; Kočvara, M. 6 1993 An error estimate for a finite-element scheme for a phase field model. Zbl 0801.65091 Chen, Zhiming; Hoffmann, K.-H. 6 1994 A least squares method for finding the Preisach hysteresis operator from measurements. Zbl 0684.65008 Hoffmann, K.-H.; Meyer, G. H. 5 1989 Models of superconducting-normal-superconducting junctions. Zbl 0899.35045 Hoffmann, K. H.; Jiang, Lishang; Yu, Wanghui; Zhu, Ning 5 1998 The Stefan problem with surface tension and convection in Stokes fluid. Zbl 0958.35153 Hoffmann, 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 0929.65085 Hoffmann, K.-H.; Zou, Jun 5 1995 Analysis of the thermoelastic model of a plate with non-linear shape memory alloy reinforcements. Zbl 0795.35017 Hoffmann, K.-H.; Zochowski, A. 5 1992 Optimal control/dual approach for the numerical solution of a dam problem. Zbl 0784.49005 Haslinger, J.; Hoffmann, K.-H.; Mäkinen, R. A. E. 5 1993 Parallel efficiency of domain decomposition methods. Zbl 0797.68004 Hoffmann, K.-H.; Zou, Jun 5 1993 Real-time control in a free boundary problem connected with the continuous casting of steel. Zbl 0551.49004 Hoffmann, K.-H.; Sprekels, J. 4 1984 Interface optimization problems for parabolic equations. Zbl 0822.49002 Hoffmann, Karl-Heinz; Sokołowski, Jan 4 1994 Numerical simulations of dynamical Ginzburg-Landau vortices in superconductivity. Zbl 0822.65108 Chen, Z.; Hoffmann, K.-H. 4 1994 Homogenization of von Kármán plates excited by piezoelectric patches. Zbl 0963.35015 Hoffmann, K.-H.; Botkin, N. D. 4 2000 On convergence of solutions to the equation of viscoelasticity with capillarity. Zbl 0980.35035 Hoffmann, Karl-Heinz; Rybka, Piotr 4 2000 Ginzburg-Landau phase transition theory and superconductivity. Zbl 1115.82040 Hoffmann, K.-H.; Tang, Q. 4 2001 Numerical solutions of an optimal control problem governed by a Ginzburg-Landau model in superconductivity. Zbl 0915.65068 Chen, Zhiming; Hoffmann, K.-H. 4 1998 The method of asymptotic regularization and restricted parameter identification problems in variational inequalities. Zbl 0594.35043 Hoffmann, K. H.; Sprekels, J. 4 1985 Generic uniqueness and stability in some inverse parabolic problem. Zbl 0804.35149 Hoffmann, Karl-Heinz; Yamamoto, Masahiro 4 1993 Analyticity of the nonlinear term forces convergence of solutions to two equations of continuum mechanics. Zbl 1290.35266 Hoffmann, Karl-Heinz; Rybka, Piotr 4 2002 A numerical procedure to slve certain identification problems. Zbl 0653.65084 Alt, H. W.; Hoffmann, K.-H.; Sprekels, J. 3 1984 Theory of convex local compactifications with applications to Lebesgue spaces. Zbl 1129.46306 Roubíček, Tomáš; Hoffmann, Karl-Heinz 3 1995 Stetigkeitssätze für metrische Projektionen. III. Eine Fixpunkteigenschaft der metrischen Projektionen. Zbl 0208.38402 Brosowski, B.; Hoffmann, K. H.; Schäfer, E.; Weber, H. 3 1969 Verallgemeinerte Differenzierbarkeitsbegriffe und ihre Anwendung in der Optimierungstheorie. Zbl 0274.49008 Hoffmann, K.-H.; Kolumban, I. 3 1974 Optimal control problems for elliptic–Parabolic variational inequalities with time-Dependent constraints. Zbl 1101.49005 Hoffmann, Karl-Heinz; Kubo, Masahiro; Yamazaki, Noriaki 3 2006 Iterative algorithm for solving the inverse heat conduction problems with the unknown source function. Zbl 1329.65210 Frąckowiak, Andrzej; Botkin, Nikolai D.; Ciałkowski, Michał; Hoffmann, Karl-Heinz 3 2015 A fitting algorithm for solving inverse problems of heat conduction. Zbl 1191.80038 Frąckowiak, Andrzej; Botkin, Nikolai D.; Ciałkowski, Michał; Hoffmann, Karl-Heinz 2 2010 Homogenization of a model describing vibration of nonlinear thin plates excited by piezopatches. Zbl 0934.35018 Hoffmann, Karl-Heinz; Botkin, Nikolai D. 2 1999 Finite element analysis on the Lawrence-Doniach model for layered superconductors. Zbl 1114.65349 Hoffmann, K.-H.; Zou, Jun 2 1997 The global behavior of elastoplastic and viscoelastic materials with hysteresis-type state equations. Zbl 0907.35131 Anderssen, Robert S.; Götz, Ivan G.; Hoffmann, Karl-Heinz 2 1998 Control of the thermoelastic model of a plate activated by shape memory alloy reinforcements. Zbl 0908.49004 Hoffmann, K.-H.; Żochowski, A. 2 1998 Homogenization of interfaces between rapidly oscillating fine elastic structures and fluids. Zbl 1078.74040 Hoffmann, K.-H.; Botkin, N. D.; Starovoitov, V. N. 2 2005 Stetigkeitssätze für metrische Projektionen. I. Metrische Projektionen auf lineare Teilräume von \(C_0[Q,H]\). Zbl 0208.38303 Brosowski, 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 0208.38501 Brosowski, B.; Hoffmann, K. H.; Schäfer, E.; Weber, H. 2 1969 Numerical treatment of free boundary value problems. Workshop on Numerical Treatment of Free Boundary Value Problems, Oberwolfach, November 16-22, 1980. Zbl 0469.00014 2 1982 Optimal control of partial differential equations. Proceedings of the IFIP WG 7. 2 international conference, Chemnitz, Germany, April 20–25, 1998. Zbl 0921.00021 2 1999 Nichtlineare Tschebyscheff-Approximation mit Nebenbedingungen: Anwendungen. Zbl 0181.17701 Hoffmann, K. H. 2 1970 Über ein Eindeutigkeitskriterium bei der Tschebyscheff-Approximation mit regulären Funktionensystemen. Zbl 0188.12901 Hoffmann, K.-H. 2 1969 Thermomechanical evolution of a microstructure. Zbl 0815.49029 Hoffmann, Karl-Heinz; Roubíček, Tomáš 2 1994 Eine Variationsungleichung und Anwendungen. Zbl 0268.49023 Brosowski, B.; Hoffmann, K.-H. 2 1974 Numerical solutions of the optimal control problem governed by a phase field model. Zbl 0760.49019 Chen, Zhiming; Hoffmann, K.-H. 2 1991 Optimal control of dynamical Ginzburg-Landau vortices in superconductivity. Zbl 0857.49014 Chen, Zhiming; Hoffmann, K.-H. 2 1996 Control of a plate with nonlinear shape memory alloy reinforcements. Zbl 0923.73040 Hoffmann, K.-H.; Tiba, D. 2 1997 Freie Randwertprobleme. Zbl 0464.35098 Hoffmann, K.-H.; Knabner, P. 2 1979 Optimal control of a class of phase change processes with terminal state observation. Zbl 0810.49007 Hoffmann, Karl-Heinz; Jiang, Lishang; Niezgódka, Marek 2 1993 Numerical mathematics. 4., nochmals durchges. Aufl. (Numerische Mathematik.) Zbl 0801.65001 Hämmerlin, Günther; Hoffmann, Karl-Heinz 2 1994 Computation of value functions in nonlinear differential games with state constraints. Zbl 1266.49072 Botkin, Nikolai; Hoffmann, Karl-Heinz; Mayer, Natalie; Turova, Varvara 2 2013 Dispersion relations for acoustic waves in heterogeneous multi-layered structures contacting with fluids. Zbl 1269.74050 Botkin, N. D.; Hoffmann, K.-H.; Pykhteev, O. A.; Turova, V. L. 2 2007 Towards the identification of ordinary differential equations from measurements. Zbl 0665.34013 Hoffmann, K.-H.; Sprekels, J. 1 1988 Optimal control of ice formation in living cells during freezing. Zbl 1221.74060 Botkin, N. D.; Hoffmann, K.-H.; Turova, V. L. 1 2011 Improperly posed problems and their numerical treatment. Conference Held at the Mathematisches Forschungsinstitut, Oberwolfach, September 26 - October 2, 1982. Zbl 0507.00012 1 1983 Automatic delay-control in a two-phase Stefan problem. Zbl 0514.49005 Hoffmann, K.-H.; Sprekels, J. 1 1983 Optimal control of partial differential equations. Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, December 5-11, 1982. Zbl 0544.00015 1 1984 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 cracks of minimal opening in thermoelastic plates. Zbl 0992.74061 Hoffmann, K.-H.; Khludnev, A. M. 1 2000 Oscillations of nonlinear thin plates excited by piezoelectric patches. Zbl 0907.73051 Hoffmann, K.-H.; Botkin, N. D. 1 1998 Inverse problem with finite overdetermination for steady-state equations of radiative heat exchange. Zbl 1478.35235 Chebotarev, Alexander Yu.; Grenkin, Gleb V.; Kovtanyuk, Andrey E.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 27 2018 Diffusion approximation of the radiative-conductive heat transfer model with Fresnel matching conditions. Zbl 1510.80023 Chebotarev, Alexander Yu.; Grenkin, Gleb V.; Kovtanyuk, Andrey E.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 13 2018 Boundary optimal control problem of complex heat transfer model. Zbl 1326.35412 Grenkin, Gleb V.; Chebotarev, Alexander Yu.; Kovtanyuk, Andrey E.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 26 2016 Nondegeneracy of optimality conditions in control problems for a radiative-conductive heat transfer model. Zbl 1410.49004 Chebotarev, Alexander Yu.; Kovtanyuk, Andrey E.; Grenkin, Gleb V.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 26 2016 Optimal boundary control of a steady-state heat transfer model accounting for radiative effects. Zbl 1337.80004 Kovtanyuk, Andrey E.; Chebotarev, Alexander Yu.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 22 2016 Unique solvability of a steady-state complex heat transfer model. Zbl 1308.80002 Kovtanyuk, Andrey E.; Chebotarev, Alexander Yu.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 34 2015 Iterative algorithm for solving the inverse heat conduction problems with the unknown source function. Zbl 1329.65210 Frąckowiak, Andrzej; Botkin, Nikolai D.; Ciałkowski, Michał; Hoffmann, Karl-Heinz 3 2015 The unique solvability of a complex 3D heat transfer problem. Zbl 1343.35230 Kovtanyuk, Andrey E.; Chebotarev, Alexander Yu.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 32 2014 Theoretical analysis of an optimal control problem of conductive-convective-radiative heat transfer. Zbl 1337.49006 Kovtanyuk, Andrey E.; Chebotarev, Alexander Yu.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 27 2014 Solvability of \(P_{1}\) approximation of a conductive-radiative heat transfer problem. Zbl 1338.80015 Kovtanyuk, Andrey E.; Chebotarev, Alexander Yu.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 11 2014 Computation of value functions in nonlinear differential games with state constraints. Zbl 1266.49072 Botkin, Nikolai; Hoffmann, Karl-Heinz; Mayer, Natalie; Turova, Varvara 2 2013 Regularity of solutions of a phase field model. Zbl 1288.35288 Amler, 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 1262.80032 Kovtanyuk, Andrey E.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz 11 2012 Stable numerical schemes for solving Hamilton-Jacobi-Bellman-Isaacs equations. Zbl 1229.49041 Botkin, Nikolai D.; Hoffmann, Karl-Heinz; Turova, Varvara L. 14 2011 Approximation schemes for solving disturbed control problems with non-terminal time and state constraints. Zbl 1235.49073 Botkin, Nikolai D.; Hoffmann, Karl-Heinz; Mayer, Natalie; Turova, Varvara L. 9 2011 Optimal control of ice formation in living cells during freezing. Zbl 1221.74060 Botkin, N. D.; Hoffmann, K.-H.; Turova, V. L. 1 2011 A fitting algorithm for solving inverse problems of heat conduction. Zbl 1191.80038 Frąckowiak, Andrzej; Botkin, Nikolai D.; Ciałkowski, Michał; Hoffmann, Karl-Heinz 2 2010 Transport equation with boundary conditions of hysteresis type. Zbl 1194.35199 Amler, 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 1157.92014 Hoffmann, K.-H.; Botkin, N. D. 1 2008 Drag on spheres in micropolar fluids with non-zero boundary conditions for microrotations. Zbl 1141.76333 Hoffmann, Karl-Heinz; Marx, David; Botkin, Nikolai D. 17 2007 Optimal control problems for models of phase-field type with hysteresis of play operator. Zbl 1287.49005 Hoffmann, Karl-Heinz; Kenmochi, Nobuyuki; Kubo, Masahiro; Yamazaki, Noriaki 15 2007 Dispersion relations for acoustic waves in heterogeneous multi-layered structures contacting with fluids. Zbl 1269.74050 Botkin, N. D.; Hoffmann, K.-H.; Pykhteev, O. A.; Turova, V. L. 2 2007 The variational contact problem for elastic objects of different dimensions. Zbl 1115.74038 Khludnev, A. M.; Hoffmann, Karl-Heinz; Botkin, N. D. 7 2006 Optimal control problems for elliptic–Parabolic variational inequalities with time-Dependent constraints. Zbl 1101.49005 Hoffmann, Karl-Heinz; Kubo, Masahiro; Yamazaki, Noriaki 3 2006 Homogenization of interfaces between rapidly oscillating fine elastic structures and fluids. Zbl 1078.74040 Hoffmann, K.-H.; Botkin, N. D.; Starovoitov, V. N. 2 2005 Description of adhering with saturation using boundary conditions of hysteresis type. Zbl 1224.35196 Botkin, N. D.; Hoffmann, K.-H.; Meirmanov, A. M.; Starovoitov, V. N. 1 2005 On modelling of electronic smart systems and junctions. Application to a piezoelectric plate as junction domain. Zbl 1077.74032 Senouci Bereksi, Ghouti; Hoffmann, Karl-Heinz 1 2005 Fictitious domain method for the Signorini problem in a linear elasticity. Zbl 1134.74368 Hoffmann, Karl-Heinz; Khludnev, Alexander 8 2004 Vibration of a shape memory alloy wire. Zbl 1085.35047 Hoffmann, K.-H.; Showalter, R. E. 1 2003 Analyticity of the nonlinear term forces convergence of solutions to two equations of continuum mechanics. Zbl 1290.35266 Hoffmann, Karl-Heinz; Rybka, Piotr 4 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 1115.82040 Hoffmann, K.-H.; Tang, Q. 4 2001 On a motion of a ball in a viscous fluid. (Zur Bewegung einer Kugel in einer zähen Flüssigkeit.) Zbl 0936.35125 Hoffmann, Karl-Heinz; Starovoitov, Victor N. 18 2000 Homogenization of von Kármán plates excited by piezoelectric patches. Zbl 0963.35015 Hoffmann, K.-H.; Botkin, N. D. 4 2000 On convergence of solutions to the equation of viscoelasticity with capillarity. Zbl 0980.35035 Hoffmann, Karl-Heinz; Rybka, Piotr 4 2000 On cracks of minimal opening in thermoelastic plates. Zbl 0992.74061 Hoffmann, K.-H.; Khludnev, A. M. 1 2000 Convergence of solutions to Cahn-Hilliard equation. Zbl 0936.35032 Rybka, Piotr; Hoffmann, Karl-Heinz 67 1999 On a motion of a solid body in a viscous fluid. Two-dimensional case. Zbl 0966.76016 Hoffmann, K.-H.; Starovoitov, V. N. 63 1999 Homogenization of a model describing vibration of nonlinear thin plates excited by piezopatches. Zbl 0934.35018 Hoffmann, 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 2 1999 Convergence of solutions to the equation of quasi-static approximation of viscoelasticity with capillarity. Zbl 0919.35022 Rybka, Piotr; Hoffmann, Karl-Heinz 13 1998 Phase transitions of liquid-liquid type with convection. Zbl 0958.35152 Hoffmann, K.-H.; Starovoitov, V. N. 7 1998 Models of superconducting-normal-superconducting junctions. Zbl 0899.35045 Hoffmann, K. H.; Jiang, Lishang; Yu, Wanghui; Zhu, Ning 5 1998 The Stefan problem with surface tension and convection in Stokes fluid. Zbl 0958.35153 Hoffmann, K.-H.; Starovoitov, V. N. 5 1998 Numerical solutions of an optimal control problem governed by a Ginzburg-Landau model in superconductivity. Zbl 0915.65068 Chen, Zhiming; Hoffmann, K.-H. 4 1998 The global behavior of elastoplastic and viscoelastic materials with hysteresis-type state equations. Zbl 0907.35131 Anderssen, Robert S.; Götz, Ivan G.; Hoffmann, Karl-Heinz 2 1998 Control of the thermoelastic model of a plate activated by shape memory alloy reinforcements. Zbl 0908.49004 Hoffmann, K.-H.; Żochowski, A. 2 1998 Oscillations of nonlinear thin plates excited by piezoelectric patches. Zbl 0907.73051 Hoffmann, K.-H.; Botkin, N. D. 1 1998 Global classical solutions to a non-isothermal dynamical Ginzburg-Landau model in superconductivity. Zbl 0904.35036 Chen, Zhiming; Hoffmann, K.-H. 12 1997 Finite element analysis on the Lawrence-Doniach model for layered superconductors. Zbl 1114.65349 Hoffmann, K.-H.; Zou, Jun 2 1997 Control of a plate with nonlinear shape memory alloy reinforcements. Zbl 0923.73040 Hoffmann, K.-H.; Tiba, D. 2 1997 Parallel solution of variational inequality problems with nonlinear source terms. Zbl 0848.65055 Hoffmann, K.-H.; Zou, Jun 38 1996 Optimal control of dynamical Ginzburg-Landau vortices in superconductivity. Zbl 0857.49014 Chen, Zhiming; Hoffmann, K.-H. 2 1996 Numerical studies of a non-stationary Ginzburg-Landau model for superconductivity. Zbl 0846.65051 Chen, Zhiming; Hoffmann, K.-H. 20 1995 About the concept of measure-valued solutions to distributed parameter systems. Zbl 0828.35024 Roubíček, Tomáš; Hoffmann, Karl-Heinz 7 1995 Finite element approximations of Landau-Ginzburg’s equation model for structural phase transitions in shape memory alloys. Zbl 0929.65085 Hoffmann, K.-H.; Zou, Jun 5 1995 Theory of convex local compactifications with applications to Lebesgue spaces. Zbl 1129.46306 Roubíček, Tomáš; Hoffmann, Karl-Heinz 3 1995 Fixed domain methods in variable domain problems. Zbl 0839.35150 Hoffmann, K.-H.; Tiba, D. 1 1995 The existence and uniqueness of global solutions to a mathematical model for shape memory alloys. Zbl 0841.73032 Hoffmann, K.-H.; Zou, Jun 1 1995 On a one-dimensional nonlinear thermoviscoelastic model for structural phase transitions in shape memory alloys. Zbl 0807.73029 Chen, Zhiming; Hoffmann, K.-H. 8 1994 An error estimate for a finite-element scheme for a phase field model. Zbl 0801.65091 Chen, Zhiming; Hoffmann, K.-H. 6 1994 Interface optimization problems for parabolic equations. Zbl 0822.49002 Hoffmann, Karl-Heinz; Sokołowski, Jan 4 1994 Numerical simulations of dynamical Ginzburg-Landau vortices in superconductivity. Zbl 0822.65108 Chen, Z.; Hoffmann, K.-H. 4 1994 Thermomechanical evolution of a microstructure. Zbl 0815.49029 Hoffmann, Karl-Heinz; Roubíček, Tomáš 2 1994 Numerical mathematics. 4., nochmals durchges. Aufl. (Numerische Mathematik.) Zbl 0801.65001 Hämmerlin, Günther; Hoffmann, Karl-Heinz 2 1994 Asymptotic behaviors of Landau-Devonshire-Ginzburg model for structural phase transitions in shape memory alloys. Zbl 0812.35143 Chen, Zhiming; Hoffmann, Karl-Heinz 1 1994 Optimal control of a fine structure. Zbl 0812.49009 Hoffmann, K.-H.; Roubíček, T. 1 1994 On a non-stationary Ginzburg-Landau superconductivity model. Zbl 0817.35111 Chen, Zhiming; Hoffmann, K.-H.; Liang, Jin 68 1993 A nonlinear evolution problem describing multi-component phase changes with dissipation. Zbl 0828.35134 Colli, Pierluigi; Hoffmann, Karl-Heinz 19 1993 Periodic solutions of the Stefan problem with hysteresis-type boundary conditions. Zbl 0788.35153 Götz, Ivan G.; Hoffmann, Karl-Heinz; Meirmanov, Anvarbek M. 7 1993 Control fictitious domain method for solving optimal shape design problems. Zbl 0772.65043 Haslinger, J.; Hoffmann, K.-H.; Kočvara, M. 6 1993 Optimal control/dual approach for the numerical solution of a dam problem. Zbl 0784.49005 Haslinger, J.; Hoffmann, K.-H.; Mäkinen, R. A. E. 5 1993 Parallel efficiency of domain decomposition methods. Zbl 0797.68004 Hoffmann, K.-H.; Zou, Jun 5 1993 Generic uniqueness and stability in some inverse parabolic problem. Zbl 0804.35149 Hoffmann, Karl-Heinz; Yamamoto, Masahiro 4 1993 Optimal control of a class of phase change processes with terminal state observation. Zbl 0810.49007 Hoffmann, Karl-Heinz; Jiang, Lishang; Niezgódka, Marek 2 1993 Optimal control of a phase field model for solidification. Zbl 0724.49003 Hoffmann, K.-H.; Jiang, L. 44 1992 Parallel algorithms of Schwarz variant for variational inequalities. Zbl 0759.65039 Hoffmann, K.-H.; Zou, J. 10 1992 Existence of solutions to some nonlinear thermoelastic systems with viscosity. Zbl 0745.35022 Hoffmann, K.-H.; Zochowski, A. 9 1992 Analysis of the thermoelastic model of a plate with non-linear shape memory alloy reinforcements. Zbl 0795.35017 Hoffmann, K.-H.; Zochowski, A. 5 1992 A variational inequality in a contact elastoplastic problem for a bar. Zbl 0747.73041 Khludnev, A. M.; Hoffmann, K.-H. 1 1992 Numerische Mathematik. 3., unveränd. Aufl. Zbl 0753.65001 Hämmerlin, Günther; Hoffmann, Karl-Heinz 1 1992 Numerical mathematics. 2. Aufl. (Numerische Mathematik.) Zbl 0713.65001 Hämmerlin, Günther; Hoffmann, Karl-Heinz 18 1991 Numerical mathematics. Transl. from the German by Larry Schumaker. Zbl 0709.65001 Hämmerlin, Günther; Hoffmann, Karl-Heinz 10 1991 Numerical solutions of the optimal control problem governed by a phase field model. Zbl 0760.49019 Chen, Zhiming; Hoffmann, K.-H. 2 1991 Optimal control of partial differential equations. Proceedings of the IFIP WG 7.2 international conference, Irsee, Germany, April 9-12, 1990. Zbl 0754.00014 1 1991 Existence and uniqueness of global solutions to an extended model of the dynamical developments in shape memory alloys. Zbl 0728.35055 Hoffmann, K.-H.; Niezgódka, M.; Zheng, Songmu 20 1990 Feedback control via thermostats of multidimensional two-phase Stefan problems. Zbl 0752.49004 Hoffmann, K.-H.; Sprekels, J.; Niezgódka, M. 7 1990 Numerische Mathematik. (Numerical mathematics). Zbl 0669.65001 Hämmerlin, Günther; Hoffmann, Karl-Heinz 9 1989 A least squares method for finding the Preisach hysteresis operator from measurements. Zbl 0684.65008 Hoffmann, K.-H.; Meyer, G. H. 5 1989 Two-phase Stefan problems with feedback controls. Zbl 0699.35268 Hoffmann, K.-H.; Kenmochi, N. 1 1989 Uniqueness for structural phase transitions in shape memory alloys. Zbl 0655.35012 Hoffmann, K.-H.; Songmu, Zheng 10 1988 Identification of hysteresis loops. Zbl 0659.65125 Hoffmann, K.-H.; Sprekels, J.; Visintin, A. 8 1988 Control of free boundary problems with hysteresis. Zbl 0719.49006 Friedman, Avner; Hoffmann, Karl-Heinz 8 1988 Towards the identification of ordinary differential equations from measurements. Zbl 0665.34013 Hoffmann, K.-H.; Sprekels, J. 1 1988 On the identification of parameters in general variational inequalities by asymptotic regularization. Zbl 0652.35103 Hoffmann, K.-H.; Sprekels, J. 9 1986 The method of asymptotic regularization and restricted parameter identification problems in variational inequalities. Zbl 0594.35043 Hoffmann, K. H.; Sprekels, J. 4 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 0576.65121 Hoffmann, K.-H.; Sprekels, Jürgen 14 1984 Real-time control in a free boundary problem connected with the continuous casting of steel. Zbl 0551.49004 Hoffmann, K.-H.; Sprekels, J. 4 1984 A numerical procedure to slve certain identification problems. Zbl 0653.65084 Alt, H. W.; Hoffmann, K.-H.; Sprekels, J. 3 1984 ...and 22 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 889 Authors 38 Chebotarev, Alexander Yurievich 32 Hoffmann, Karl-Heinz 24 Botkin, Nikolai D. 22 Fan, Jishan 20 Kovtanyuk, Andrey Egorovich 15 Colli, Pierluigi 15 Zeng, Jinping 14 Roubíček, Tomáš 14 Turova, Varvara L. 14 Wu, Hao 11 Grasselli, Maurizio 11 Grenkin, Gleb Vladimirovich 10 Nečasová, Šárka 10 Zheng, Songmu 9 Miranville, Alain M. 9 Sprekels, Jürgen 9 Takahashi, Takéo 8 Abdulla, Ugur G. 8 Gao, Huadong 8 Stefanelli, Ulisse 7 Kunisch, Karl 7 Starovoitov, Victor Nikolayevich 7 Timoshin, Sergey A. 6 Böhning, Dankmar 6 Gilardi, Gianni 6 Khludnev, Aleksandr Mikhaĭlovich 6 Krejčí, Pavel 6 Maksimov, Vyacheslav Ivanovich 6 Moroşanu, Costică N. 6 Nakamura, Gen 6 Rybka, Piotr 6 Saritskaya, Zhanna Yur’evna 5 Chemetov, Nikolai V. 5 Hillairet, Matthieu 5 Li, Buyang 5 Mesenev, P. R. 5 Minchev, Emil 5 Schimperna, Giulio 5 Sun, Weiwei 5 Zheng, Hua 4 Abels, Helmut 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 Lampe, Renée 4 Ledzewicz, Urszula 4 Liu, Chun 4 Liu, Ling 4 Marinoschi, Gabriela 4 Niezgódka, Marek 4 Okeke, Godwin Amechi 4 Ozawa, Tohru 4 Pötzsche, Christian 4 Rocca, Elisabetta 4 Saritskaia, Zhanna Yurievna 4 Spiteri, Pierre 4 Tang, Tong 4 Tolstonogov, Aleksandr Aleksandrovich 4 Vong, Seakweng 4 Wang, Bixiang 4 Xu, Hongru 4 Zheng, Jiashan 4 Zhou, Shuzi 4 Zhou, Yong 3 Amosov, Andreĭ Avenirovich 3 Barani Balan, Natesan 3 Barbu, Viorel 3 Berti, Valeria 3 Bociu, Lorena 3 Chen, Zhiming 3 Diepolder, Johannes 3 Gao, Hongjun 3 Ghattassi, Mohamed 3 Giorgi, Claudio 3 Goldfarb, Jonathan M. 3 Haslinger, Jaroslav 3 Hu, Xindi 3 Kaur, Manpreet 3 Kenmochi, Nobuyuki 3 Krishna Prasad, M. 3 Kubo, Masahiro 3 Lazarev, Nyurgun Petrovich 3 Li, Chenliang 3 Li, Qingguo 3 Maslovskaya, Anna G. 3 Nockowska-Rosiak, Magdalena 3 Petzeltová, Hana 3 Phan Quôc Khánh 3 Popova, Tatiana Semenovna 3 Rosier, Lionel 3 Saad, Elsayed I. 3 Schättler, Heinz Michael ...and 789 more Authors all top 5 Cited in 229 Serials 42 Journal of Mathematical Analysis and Applications 20 Journal of Differential Equations 19 Applied Mathematics and Computation 19 Computational Mathematics and Mathematical Physics 18 Nonlinear Analysis. 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English Series 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Numerical Algorithms 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 Mathematical Programming. Series A. Series B 3 SIAM Journal on Optimization 3 Advances in Computational Mathematics 3 Abstract and Applied Analysis 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 Journal of Evolution Equations 3 Milan Journal of Mathematics 3 Inverse Problems in Science and Engineering 3 Proceedings of the Steklov Institute of Mathematics 3 Communications in Computational Physics 3 Journal of Function Spaces 3 AIMS Mathematics 2 Computers and Fluids 2 Communications in Mathematical Physics 2 International Journal of Heat and Mass Transfer 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 Osaka Journal of Mathematics 2 Quarterly of Applied Mathematics 2 SIAM Journal on Control and Optimization 2 Transactions of the American Mathematical Society 2 Mathematical and Computer Modelling 2 Asymptotic Analysis 2 Journal of Integral Equations and Applications ...and 129 more Serials all top 5 Cited in 42 Fields 458 Partial differential equations (35-XX) 214 Numerical analysis (65-XX) 139 Fluid mechanics (76-XX) 134 Calculus of variations and optimal control; optimization (49-XX) 118 Mechanics of deformable solids (74-XX) 97 Classical thermodynamics, heat transfer (80-XX) 91 Statistical mechanics, structure of matter (82-XX) 64 Systems theory; control (93-XX) 63 Operations research, mathematical programming (90-XX) 43 Operator theory (47-XX) 24 Ordinary differential equations (34-XX) 24 Dynamical systems and ergodic theory (37-XX) 20 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 20 Biology and other natural sciences (92-XX) 19 Optics, electromagnetic theory (78-XX) 16 Approximations and expansions (41-XX) 14 Functional analysis (46-XX) 13 Integral equations (45-XX) 12 Statistics (62-XX) 9 Mechanics of particles and systems (70-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Real functions (26-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Computer science (68-XX) 3 Geophysics (86-XX) 2 Algebraic geometry (14-XX) 2 Potential theory (31-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-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 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-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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