Edit Profile (opens in new tab) Neittaanmäki, Pekka J. Compute Distance To: Compute Author ID: neittaanmaki.pekka-j Published as: Neittaanmäki, P.; Neittaanmäki, Pekka; Neittaanmaki, Pekka; Neittaanmaki, P.; Neittaanmaeki, Pekka; Neittaanmaeki, P.; Neittaanmäki, Pekka J.; Neittaanmäki, P more...less Homepage: http://users.jyu.fi/~pn/ External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 219 Publications since 1978, including 22 Books 18 Contributions as Editor Reviewing Activity: 117 Reviews Biographic References: 1 Publication Co-Authors: 115 Co-Authors with 222 Joint Publications 2,805 Co-Co-Authors all top 5 Co-Authors 15 single-authored 28 Křížek, Michal 25 Haslinger, Jaroslav 25 Repin, Sergeĭ Igorevich 20 Tiba, Dan 15 Plamenevskiĭ, Boris Alekseevich 12 Averbuch, Amir Z. 12 Zheludev, Valery A. 10 Kuznetsov, Yurii Alekseevich 10 Saranen, Jukka 9 Korotov, Sergey 9 Rivkind, Valeriĭ Yakovlevich 8 Marinov, Corneliu A. 8 Tai, Xuecheng 7 Tiihonen, Timo 6 Heikkola, Erkki 6 Sarafanov, Oleg V. 5 Banichuk, Nikolaĭ Vladimirovich 5 Liu, Liping 5 Salmenjoki, Kimmo 5 Tarvainen, Pasi 5 Tuovinen, Tero 4 Grikurov, Valery E. 4 Jeronen, Juha 4 Kalvin, Victor 4 Laitinen, Erkki K. 4 Mäkinen, Raino A. E. 4 Mali, Olli 4 Pironneau, Olivier 3 Anjam, Immanuel 3 Baskin, Lev 3 Dementieva, Maria B. 3 Fitzgibbon, William Edward 3 Kokotov, A. Yu. 3 Mäkelä, Marko Mikael 3 Männikkö, Timo 3 Niemistö, Antti 3 Périaux, Jacques F. 3 Picard, Rainer H. 3 Seregin, Gregory A. 3 Sokołowski, Jan 3 Zakharov, Victor V. 2 Arnăutu, Viorel 2 Barbu, Viorel 2 Faragó, István 2 Glowinski, Roland 2 Gorshkova, Elena 2 Horák, Václav 2 Kaarna, Arto 2 Kabardov, M. M. 2 Kärkkäinen, Tommi 2 Kravchuk, Alexander S. 2 Kuznetsov, Nikolay Vladimirovich 2 Lasiecka, Irena 2 Leonov, Gennadiĭ Alekseevich 2 Liu, Steve Wenbin 2 Matculevich, Svetlana 2 Moroșanu, Gheorghe 2 Rudnicki, Marek 2 Seidman, Thomas I. 2 Stachurski, Andrzej 2 Stenberg, Rolf 1 Barsuk, Alexandr A. 1 Baskin, L. M. 1 Bräysy, Olli 1 Buslaev, Vladimir Savel’evich 1 Chetverushkin, Boris Nikolaevich 1 Cohen, Gary C. 1 Dullaert, Wout E. H. 1 Frolov, M. E. 1 Frolov, Maksim 1 Gan’kova, Anna 1 Hamina, Martti 1 Hara, Veikko 1 Hauser, Jonathan 1 Hiironen, Juha 1 Hokkanen, Veli-Matti 1 Jokinen, Tapani 1 Joly, Patrick 1 Kiseleva, M. A. 1 Koikkalainen, Pasi 1 Koren, Jenny 1 Kudryashova, Elena Vladimirovna 1 Lappalainen, Vesa 1 Lehtonen, Ari 1 Levin, S. B. 1 Lin, Qun 1 Lyalinov, Mikhail Anatolievich 1 Martikainen, Janne 1 Miettinen, Kaisa M. 1 Muzalevsky, A. V. 1 Nakari, Pentti 1 Nečas, Jindřich 1 Nokka, Marjaana 1 Palosaari, Seppo 1 Parviainen, Sirkku 1 Pennanen, Anssi 1 Räisänen, Teppo 1 Reunanen, Jarmo 1 Roach, Gary Francis 1 Ruotsalainen, Keijo Matti ...and 15 more Co-Authors all top 5 Serials 9 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 8 Bericht. Universität Jyväskylä. Mathematisches Institut 7 Numerical Functional Analysis and Optimization 6 Applications of Mathematics 6 Computational Methods in Applied Sciences 5 Solid Mechanics and Its Applications 4 Mathematical Methods in the Applied Sciences 4 Aplikace Matematiky 4 Journal of Computational and Applied Mathematics 4 Journal of Mathematical Sciences (New York) 4 Problemy Matematicheskogo Analiza 3 Numerische Mathematik 3 Optimal Control Applications & Methods 3 East-West Journal of Numerical Mathematics 3 Russian Journal of Numerical Analysis and Mathematical Modelling 3 Doklady Mathematics 2 Applicable Analysis 2 International Journal of Solids and Structures 2 Inverse Problems 2 Mathematics of Computation 2 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 2 Applied Mathematics and Optimization 2 SIAM Journal on Control and Optimization 2 Journal of Computational Mathematics 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 COMPEL 2 Matemática Aplicada e Computacional 2 Advances in Computational Mathematics 2 Journal of Numerical Mathematics 2 Lecture Notes in Pure and Applied Mathematics 2 Annals of the Academy of Romanian Scientists. Mathematics and its Applications 2 Lecture Notes on Numerical Methods in Engineering and Sciences 1 Arkhimedes 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Numerical Analysis 1 International Journal for Numerical Methods in Fluids 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica 1 BIT 1 IEEE Transactions on Circuits and Systems 1 Mathématica – Revue d’Analyse Numérique et de Théorie de l’Approximation. Mathématica 1 Mathematica Scandinavica 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 Circuits, Systems, and Signal Processing 1 Acta Applicandae Mathematicae 1 Arab Journal of Mathematics 1 Finite Elements in Analysis and Design 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Multidimensional Systems and Signal Processing 1 Surveys on Mathematics for Industry 1 Commentationes Physico-Mathematicae 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 SIAM Journal on Applied Mathematics 1 Journal of Mathematical Imaging and Vision 1 Doklady Akademii Nauk 1 Numerical Linear Algebra with Applications 1 Discrete and Continuous Dynamical Systems 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 International Journal of Mathematics, Game Theory and Algebra 1 International Game Theory Review 1 Annales Academiæ Scientiarum Fennicæ. Series A I. Mathematica. Dissertationes 1 ISNM. International Series of Numerical Mathematics 1 Mathematics and its Applications (Dordrecht) 1 Pitman Monographs and Surveys in Pure and Applied Mathematics 1 Pure and Applied Mathematics, Marcel Dekker 1 GAKUTO International Series. Mathematical Sciences and Applications 1 Monographs in Electrical and Electronic Engineering 1 Journal of Physics A: Mathematical and Theoretical 1 Inverse Problems and Imaging 1 Pure and Applied Functional Analysis 1 Springer Monographs in Mathematics 1 Mathematical Modelling: Theory and Applications 1 Scientific Computation all top 5 Fields 139 Numerical analysis (65-XX) 117 Partial differential equations (35-XX) 65 Calculus of variations and optimal control; optimization (49-XX) 37 Mechanics of deformable solids (74-XX) 22 Optics, electromagnetic theory (78-XX) 21 Fluid mechanics (76-XX) 18 General and overarching topics; collections (00-XX) 18 Operations research, mathematical programming (90-XX) 16 Systems theory; control (93-XX) 13 Information and communication theory, circuits (94-XX) 9 Ordinary differential equations (34-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Quantum theory (81-XX) 6 Operator theory (47-XX) 4 Approximations and expansions (41-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Computer science (68-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Functional analysis (46-XX) 2 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Potential theory (31-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 140 Publications have been cited 1,377 times in 1,086 Documents Cited by ▼ Year ▼ Optimal control of nonlinear parabolic systems: theory, algorithms, and applications. Zbl 0812.49001Neittaanmäki, P.; Tiba, D. 109 1994 Finite element approximation for optimal shape design: Theory and applications. Zbl 0713.73062Haslinger, J.; Neittaanmäki, P. 88 1988 Nonsmooth optimization. Analysis and algorithms with applications to optimal control. Zbl 0757.49017Mäkelä, Marko M.; Neittaanmäki, Pekka 81 1992 Finite element approximation for optimal shape, material and topology design. Zbl 0845.73001Haslinger, J.; Neittaanmaki, P. 76 1996 Reliable methods for computer simulation. Error control and a posteriori estimates. Zbl 1076.65093Neittaanmäki, Pekka; Repin, Sergey 74 2004 On superconvergence techniques. Zbl 0624.65107Křížek, Michal; Neittaanmäki, Pekka 63 1987 Weakened acute type condition for tetrahedral triangulations and the discrete maximum principle. Zbl 1001.65125Korotov, Sergey; Křížek, Michal; Neittaanmäki, Pekka 59 2001 Superconvergence phenomenon in the finite element method arising from averaging gradients. Zbl 0575.65104Křížek, Michal; Neittaanmäki, Pekka 45 1984 A parallel splitting up method and its application to Navier-Stokes equations. Zbl 0718.65066Lu, T.; Neittaanmäki, P.; Tai, Xue-Cheng 45 1991 Optimization of elliptic systems. Theory and applications. Zbl 1106.49002Neittaanmaki, Pekka; Sprekels, Jürgen; Tiba, Dan 37 2006 On a global superconvergence of the gradient of linear triangular elements. Zbl 0602.65084Křížek, M.; Neittaanmäki, P. 34 1987 A parallel splitting-up method for partial differential equations and its applications to Navier-Stokes equations. Zbl 0756.65129Lu, T.; Neittaanmäki, P.; Tai, X.-C. 33 1992 Variational and quasi-variational inequalities in mechanics. Zbl 1131.49001Kravchuk, Alexander S.; Neittaanmäki, Pekka J. 30 2007 Finite element approximation of variational problems and applications. Zbl 0708.65106Křížek, M; Neittaanmäki, P. 26 1990 On the instability of an axially moving elastic plate. Zbl 1193.74061Banichuk, N.; Jeronen, J.; Neittaanmäki, P.; Tuovinen, T. 22 2010 Accuracy verification methods. Theory and algorithms. Zbl 1364.65106Mali, Olli; Neittaanmäki, Pekka; Repin, Sergey 19 2014 An embedding of domains approach in free boundary problems and optimal design. Zbl 0843.49024Neittaanmäki, P.; Tiba, D. 15 1995 Fictitious domain methods for the numerical solution of two-dimensional scattering problems. Zbl 0909.65119Heikkola, Erkki; Kuznetsov, Yuri A.; Neittaanmäki, Pekka; Toivanen, Jari 15 1998 Second-order optimality conditions for nondominated solutions of multiobjective programming with \(C^{1,1}\) data. Zbl 0995.90085Liu, Liping; Neittaanmäki, Pekka; Křížek, Michal 15 2000 A posteriori error estimation of goal-oriented quantities by a superconvergence patch recovery. Zbl 1039.65075Korotov, S.; Neittaanmäki, P.; Repin, S. 15 2003 Inverse problems and optimal design in electricity and magnetism. Zbl 0865.65090Neittaanmaki, P.; Rudnicki, M.; Savini, A. 14 1996 On the validity of Friedrichs’ inequalities. Zbl 0555.35003Křížek, Michal; Neittaanmäki, Pekka 13 1984 Schwarz methods for obstacle problems with convection-diffusion operators. Zbl 0817.65052Kuznetsov, Yu. A.; Neittaanmäki, P.; Tarvainen, P. 13 1994 Finite element approximation of vector fields given by curl and divergence. Zbl 0456.65069Neittaanmäki, P.; Saranen, J. 13 1981 Higher order finite element approximation of a quasilinear elliptic boundary value problem of a non-monotone type. Zbl 0870.65096Liu, Liping; Křížek, Michal; Neittaanmäki, Pekka 12 1996 On finite element approximation of the gradient for solution of Poisson equation. Zbl 0463.65073Neittaanmäki, P.; Saranen, J. 12 1981 Finite element methods. Superconvergence, post-processing, and a posteriori estimates. 1st conference, University of Jyväskylä, Finland. Zbl 0884.00048 11 1998 Shape optimization in contact problems based on penalization of the state inequality. Zbl 0594.73109Haslinger, Jaroslav; Neittaanmäki, Pekka; Tiihonen, Timo 11 1986 Error estimates for the finite element approximation to a Maxwell-type boundary value problem. Zbl 0469.65079Neittaanmäki, Pekka; Picard, Rainer 11 1980 Diffraction on a cone: the asymptotic of solutions near the vertex. Zbl 1029.35160Kokotov, A. Yu.; Neittaanmäki, P.; Plamenevskii, B. A. 10 1999 Mechanics of moving materials. Zbl 1287.74001Banichuk, Nikolay; Jeronen, Juha; Neittaanmäki, Pekka; Saksa, Tytti; Tuovinen, Tero 10 2014 Fixed domain approaches in shape optimization problems. Zbl 1252.49068Neittaanmäki, P; Tiba, D 10 2012 On the existence of optimal shapes in contact problems. Zbl 0559.73099Haslinger, J.; Neittaanmäki, P. 9 1984 Fixed domain approaches in shape optimization problems with Dirichlet boundary conditions. Zbl 1167.35545Neittaanmäki, P.; Pennanen, A.; Tiba, D. 9 2009 Optimization of the domain in elliptic variational inequalities. Zbl 0824.49003Neittaanmäki, P.; Sokołowski, Jan; Zolesio, Jean-Paul 8 1988 Optimal control from theory to computer programs. Zbl 1056.49001Arnăutu, Viorel; Neittaanmäki, Pekka 8 2003 New approach to numerical computation of the eigenfunctions of the continuous spectrum of three-particle Schrödinger operator. I: One-dimensional particles, short-range pair potentials. Zbl 1193.81111Buslaev, V. S.; Levin, S. B.; Neittaanmäki, P.; Ojala, T. 8 2010 On time-harmonic Maxwell equations with nonhomogeneous conductivities: Solvability and FE-approximation. Zbl 0696.65085Křížek, Michal; Neittaanmäki, Pekka 8 1989 On optimal shape design of systems governed by mixed Dirichlet-Signorini boundary value problems. Zbl 0603.49020Haslinger, J.; Neittaanmäki, P. 8 1986 Finite element approximation of electromagnetic fields in three dimensional space. Zbl 0451.65087Neittaanmäki, P.; Saranen, J. 8 1980 Penalty method in design optimization of systems governed by a unilateral boundary value problem. Zbl 0547.49004Haslinger, Jaroslav; Neittaanmäki, Pekka 7 1983 Asymptotic and numerical study of resonant tunneling in two-dimensional quantum waveguides of variable cross section. Zbl 1313.78034Baskin, L. M.; Kabardov, M.; Neittaanmäki, P.; Plamenevskii, B. A.; Sarafanov, O. V. 7 2013 On computation of scattering matrices and on surface waves for diffraction gratings. Zbl 1022.78009Grikurov, Valery E.; Heikkola, Erkki; Neittaanmäki, Pekka; Plamenevskii, Boris A. 7 2003 A posteriori error estimates for boundary-value problems related to the biharmonic operator. Zbl 0986.65101Neittaanmäki, P.; Repin, S. I. 7 2001 Block relaxation methods for algebraic obstacle problems with \(M\)- matrices. Zbl 0807.65068Kuznetsov, Yu. A.; Neittaanmäki, P.; Tarvainen, P. 7 1994 On the existence of optimal shapes in contact problems - Perfectly plastic bodies. Zbl 0607.73106Haslinger, J.; Neittaanmäki, P. 7 1986 Shape optimization in contact problems with friction. Zbl 0628.73123Haslinger, J.; Horák, V.; Neittaanmäki, P. 7 1985 Bibliography on superconvergence. Zbl 0902.65001Křížek, Michal; Neittaanmäki, Pekka 6 1998 Parallel finite element splitting-up method for parabolic problems. Zbl 0747.65084Tai, Xuecheng; Neittaanmäki, Pekka 6 1991 Mathematical models in electrical circuits: theory and applications. Zbl 0728.94007Marinov, C. A.; Neittaanmäki, P. 6 1991 Overlapping domain decomposition methods for the obstacle problem. Zbl 0795.65083Kuznetsov, Yu. A.; Neittaanmäki, P.; Tarvainen, P. 6 1994 Resonant tunneling. Quantum waveguides of variable cross-section, asymptotics, numerics, and applications. Zbl 1338.81003Baskin, Lev; Neittaanmäki, Pekka; Plamenevskii, Boris; Sarafanov, Oleg 6 2015 A posteriori error estimates for time-dependent reaction-diffusion problems based on the Payne-Weinberger inequality. Zbl 1334.35126Matculevich, Svetlana; Neittaanmäki, Pekka; Repin, Sergey 6 2015 Guaranteed error bounds for conforming approximations of a Maxwell type problem. Zbl 1186.65145Neittaanmäki, Pekka; Repin, Sergey 6 2010 Acceleration of the convergence in finite difference method by predictor- corrector and splitting extrapolation methods. Zbl 0626.65092Neittaanmaki, Pekka; Lin, Qun 6 1987 A modified least squares FE-method for ideal fluid flow problems. Zbl 0488.76004Neittaanmaeki, P.; Saranen, J. 6 1982 On different finite element methods for approximating the gradient of the solution to the Helmholtz equation. Zbl 0574.65123Haslinger, J.; Neittaanmäki, P. 5 1984 Existence for shape optimization problems in arbitrary dimension. Zbl 1031.49040Liu, W. B.; Neittaanmäki, P.; Tiba, D. 5 2003 Spline and spline wavelet methods with applications to signal and image processing. Volume I: Periodic splines. Zbl 1316.65019Averbuch, Amir Z.; Neittaanmaki, Pekka; Zheludev, Valery A. 5 2014 Stability of axially moving materials. Zbl 1430.74003Banichuk, Nikolay; Barsuk, Alexander; Jeronen, Juha; Tuovinen, Tero; Neittaanmäki, Pekka 5 2020 A posteriori error majorants for approximations of the evolutionary Stokes problem. Zbl 1203.65164Neittaanmäki, P.; Repin, S. 5 2010 Asymptotic theory of resonant tunneling in 3D quantum waveguides of variable cross-section. Zbl 1202.35061Baskin, Lev; Neittaanmäki, Pekka; Plamenevsky, Boris; Sarafanov, Oleg 5 2009 On numerical simulation of the continuous casting process. Zbl 0638.65089Laitinen, E.; Neittaanmäki, P 4 1988 Mathematical and numerical aspects of wave propagation, WAVES 2003. Proceedings of the sixth international conference on mathematical and numerical aspects of wave propagation, Jyväskylä, Finland, 30 June – 4 July 2003. Zbl 1029.00072 4 2003 Nonsmooth optimization in optimal shape design. Zbl 0748.90065Mäkelä, M. M.; Neittaanmäki, P. 4 1991 On a fixed domain approach for a shape optimization problem. Zbl 0766.49030Mäkinen, R. A. E.; Neittaanmäki, P.; Tiba, D. 4 1992 Finite element methods. 50 years of the Courant element. Conference held at the Univ. of Jyväskylä, Finland, 1993. Zbl 0802.00026 4 1994 Sensitivity analysis for a class of shape control problems. Zbl 0592.49005Neittaanmäki, P.; Tiihonen, Timo 4 1985 Mathematical and numerical modelling in electrical engineering. Theory and practice. Zbl 0859.65128Křížek, Michal; Neittaanmäki, Pekka 3 1997 Discretization estimates for an elliptic control problem. Zbl 0915.49022Arnăutu, Viorel; Neittaanmäki, Pekka 3 1998 Error estimates for numerical identification of distributed parameters. Zbl 0793.65066Tai, Xuecheng; Neittaanmäki, Pekka 3 1992 On the existence of strongly regular families of triangulations for domains with a piecewise smooth boundary. Zbl 1060.65665Korotov, Sergey; Křížek, Michal; Neittaanmäki, Pekka 3 1999 Drilling systems: stability and hidden oscillations. Zbl 1334.70010Kiseleva, M. A.; Kuznetsov, N. V.; Leonov, G. A.; Neittaanmäki, P. 3 2014 A posteriori error estimates for a Maxwell type problem. Zbl 1196.78015Anjam, I.; Mali, O.; Muzalevsky, A.; Neittaanmäki, P.; Repin, S. 3 2009 Partial differential equations. Modelling and numerical simulation. Some papers based on the presentations at the international conference, Helsinki, Finland, fall 2005. Zbl 1140.65007 3 2008 On optimal mesh design for FEM in unilateral boundary value problems. Zbl 0687.73075Haslinger, J.; Neittaanmäki, P.; Salmenjoki, K. 3 1988 Shape optimization in contact problems. Approximation and numerical realization. Zbl 0616.73108Haslinger, J.; Neittaanmäki, P. 3 1987 Finite element analysis of a nonlinear elliptic problem with a pure radiation condition. Zbl 0953.65081Křížek, Michael; Liu, Liping; Neittaanmäki, Pekka 2 1999 Finite element approximation for a div-rot system with mixed boundary conditions in non-smooth plane domains. Zbl 0575.65125Křižek, Michal; Neittaanmäki, Pekka 2 1984 On the convergence of the finite element approximation of eigenfrequencies and eigenvectors to Maxwell’s boundary value problem. Zbl 0489.65068Neittaanmaeki, Pekka; Picard, Rainer 2 1981 Approximating optimal control problems governed by variational inequalities. Zbl 0812.49012Barbu, Viorel; Neittaanmäki, Pekka; Niemistö, Antti 2 1994 On the structural optimization problems. (Sur les problèmes d’optimisation structurelle.) Zbl 0980.49034Liu, Wenbin; Neittaanmäki, Pekka; Tiba, Dan 2 2000 A pointwise error estimate for distributed parameter identification. Zbl 0972.34010Tai, Xue-Cheng; Neittaanmäki, Pekka 2 1997 Evolutionary algorithms in engineering and computer science. Recent advances in genetic algorithms, evolution strategies, evolutionary programming, genetic programming and industrial applications. EUROGEN99, Univ. of Jyväskylä, Finland, May 30 - June 3, 1999. Zbl 0922.00027 2 1999 Estimates of deviations from exact solutions for elasticity problems with nonlinear boundary conditions. Zbl 1282.74107Neittaanmäki, P.; Repin, S.; Valdman, J. 2 2013 A random search algorithm for constrained global optimization. Zbl 0586.90078Palosaari, Seppo; Parviainen, Sirkku; Hiironen, Juha; Reunanen, Jarmo; Neittaanmäki, Pekka 2 1986 On optimal shape design of an elastic body on a rigid foundation. Zbl 0588.73159Haslinger, J.; Neittaanmäki, P.; Tiihonen, Timo 2 1985 Optimal shape design and unilateral boundary value problems. II. Zbl 0642.49005Haslinger, J.; Neittaanmäki, P.; Tiihonen, T.; Kaarna, A. 2 1988 Solvability of a first order system in three-dimensional non-smooth domains. Zbl 0593.35073Křížek, Michal; Neittaanmäki, Pekka 2 1985 On the numerical solution of the bifurcation problem for the sine-Gordon equation. Zbl 0618.65091Neittaanmaki, P.; Ruotsalainen, K. 2 1985 A theory of electrical circuits with resistively coupled distributed structures. Delay time predicting. Zbl 0618.94015Marinov, Corneliu A.; Neittaanmäki, Pekka 2 1988 Weighted Sobolev spaces and exterior problems for the Helmholtz equation. Zbl 0624.35021Neittaanmäki, P.; Roach, G. F. 2 1987 On state constrained optimal shape design problems. Zbl 0637.49003Haslinger, J.; Neittaanmäki, P.; Tiba, D. 2 1987 Guaranteed functional error estimates for the Reissner-Mindlin plate problem. Zbl 1125.74028Frolov, M. E.; Neittaanmäki, Pekka; Repin, S. I. 2 2005 Optimal shape design in contact problems of elasticity. Zbl 0711.73168Haslinger, Jaroslav; Neittaanmäki, Pekka 2 1989 On the finite element method for time-harmonic acoustic boundary value problems. Zbl 0451.76071Neittaanmäki, P.; Picard, R. 2 1980 A least square FE-method for ideal fluid flow problems. Zbl 0457.76022Hamina, M.; Neittaanmäki, P.; Saranen, J. 2 1981 On the finite element approximation for Maxwell’s problem in polygonal domains of the plane. Zbl 0454.65080Neittaanmäki, P.; Saranen, J. 2 1981 Asymptotic and numerical study of electron flow spin polarization in 2D waveguides of variable cross-section in the presence of magnetic field. Zbl 1311.35240Baskin, L.; Kabardov, M.; Neittaanmäki, P.; Sarafanov, O. 2 2014 An hybrid denoising algorithm based on directional wavelet packets. Zbl 1504.94007Averbuch, Amir; Neittaanmäki, Pekka; Zheludev, Valery; Salhov, Moshe; Hauser, Jonathan 2 2022 An hybrid denoising algorithm based on directional wavelet packets. Zbl 1504.94007Averbuch, Amir; Neittaanmäki, Pekka; Zheludev, Valery; Salhov, Moshe; Hauser, Jonathan 2 2022 Stability of axially moving materials. Zbl 1430.74003Banichuk, Nikolay; Barsuk, Alexander; Jeronen, Juha; Tuovinen, Tero; Neittaanmäki, Pekka 5 2020 Spline and spline wavelet methods with applications to signal and image processing. Volume III. Selected topics. Zbl 1398.65004Averbuch, Amir Z.; Neittaanmäki, Pekka; Zheludev, Valery A. 1 2019 Spline and spline wavelet methods with applications to signal and image processing. Volume II. Non-periodic splines. Zbl 1338.65032Averbuch, Amir Z.; Neittaanmäki, Pekka; Zheludev, Valery A. 1 2016 Resonant tunneling. Quantum waveguides of variable cross-section, asymptotics, numerics, and applications. Zbl 1338.81003Baskin, Lev; Neittaanmäki, Pekka; Plamenevskii, Boris; Sarafanov, Oleg 6 2015 A posteriori error estimates for time-dependent reaction-diffusion problems based on the Payne-Weinberger inequality. Zbl 1334.35126Matculevich, Svetlana; Neittaanmäki, Pekka; Repin, Sergey 6 2015 Accuracy verification methods. Theory and algorithms. Zbl 1364.65106Mali, Olli; Neittaanmäki, Pekka; Repin, Sergey 19 2014 Mechanics of moving materials. Zbl 1287.74001Banichuk, Nikolay; Jeronen, Juha; Neittaanmäki, Pekka; Saksa, Tytti; Tuovinen, Tero 10 2014 Spline and spline wavelet methods with applications to signal and image processing. Volume I: Periodic splines. Zbl 1316.65019Averbuch, Amir Z.; Neittaanmaki, Pekka; Zheludev, Valery A. 5 2014 Drilling systems: stability and hidden oscillations. Zbl 1334.70010Kiseleva, M. A.; Kuznetsov, N. V.; Leonov, G. A.; Neittaanmäki, P. 3 2014 Asymptotic and numerical study of electron flow spin polarization in 2D waveguides of variable cross-section in the presence of magnetic field. Zbl 1311.35240Baskin, L.; Kabardov, M.; Neittaanmäki, P.; Sarafanov, O. 2 2014 Parameter rating by diffusion gradient. Zbl 1328.65046Wolf, Guy; Averbuch, Amir; Neittaanmäki, Pekka 1 2014 Asymptotic and numerical study of resonant tunneling in two-dimensional quantum waveguides of variable cross section. Zbl 1313.78034Baskin, L. M.; Kabardov, M.; Neittaanmäki, P.; Plamenevskii, B. A.; Sarafanov, O. V. 7 2013 Estimates of deviations from exact solutions for elasticity problems with nonlinear boundary conditions. Zbl 1282.74107Neittaanmäki, P.; Repin, S.; Valdman, J. 2 2013 Guaranteed error bounds for a class of Picard-Lindelöf iteration methods. Zbl 1267.65083Matculevich, Svetlana; Neittaanmäki, Pekka; Repin, Sergey 1 2013 Fixed domain approaches in shape optimization problems. Zbl 1252.49068Neittaanmäki, P; Tiba, D 10 2012 On the instability of an axially moving elastic plate. Zbl 1193.74061Banichuk, N.; Jeronen, J.; Neittaanmäki, P.; Tuovinen, T. 22 2010 New approach to numerical computation of the eigenfunctions of the continuous spectrum of three-particle Schrödinger operator. I: One-dimensional particles, short-range pair potentials. Zbl 1193.81111Buslaev, V. S.; Levin, S. B.; Neittaanmäki, P.; Ojala, T. 8 2010 Guaranteed error bounds for conforming approximations of a Maxwell type problem. Zbl 1186.65145Neittaanmäki, Pekka; Repin, Sergey 6 2010 A posteriori error majorants for approximations of the evolutionary Stokes problem. Zbl 1203.65164Neittaanmäki, P.; Repin, S. 5 2010 Structural optimization with uncertainties. Zbl 1182.49001Banichuk, N. V.; Neittaanmäki, Pekka J. 1 2010 Block based deconvolution algorithm using spline wavelet packets. Zbl 1255.42030Averbuch, Amir; Zheludev, Valery; Neittaanmäki, Pekka; Koren, Jenny 1 2010 Fixed domain approaches in shape optimization problems with Dirichlet boundary conditions. Zbl 1167.35545Neittaanmäki, P.; Pennanen, A.; Tiba, D. 9 2009 Asymptotic theory of resonant tunneling in 3D quantum waveguides of variable cross-section. Zbl 1202.35061Baskin, Lev; Neittaanmäki, Pekka; Plamenevsky, Boris; Sarafanov, Oleg 5 2009 A posteriori error estimates for a Maxwell type problem. Zbl 1196.78015Anjam, I.; Mali, O.; Muzalevsky, A.; Neittaanmäki, P.; Repin, S. 3 2009 Computable error indicators for approximate solutions of elliptic problems. Zbl 1169.65086Neittaanmäki, P.; Repin, S. 1 2009 Partial differential equations. Modelling and numerical simulation. Some papers based on the presentations at the international conference, Helsinki, Finland, fall 2005. Zbl 1140.65007 3 2008 Comparing solutions in joint implementation projects. Zbl 1152.91339Zakharov, Victor; Gan’kova, Anna; Dementieva, Maria; Neittaanmäki, Pekka 1 2008 New a posteriori error indicator in terms of linear functionals for linear elliptic problems. Zbl 1136.65103Neittaanmäki, P.; Repin, S.; Turchyn, P. 1 2008 Variational and quasi-variational inequalities in mechanics. Zbl 1131.49001Kravchuk, Alexander S.; Neittaanmäki, Pekka J. 30 2007 Optimization of elliptic systems. Theory and applications. Zbl 1106.49002Neittaanmaki, Pekka; Sprekels, Jürgen; Tiba, Dan 37 2006 Guaranteed functional error estimates for the Reissner-Mindlin plate problem. Zbl 1125.74028Frolov, M. E.; Neittaanmäki, Pekka; Repin, S. I. 2 2005 Reliable methods for computer simulation. Error control and a posteriori estimates. Zbl 1076.65093Neittaanmäki, Pekka; Repin, Sergey 74 2004 Conjugate gradient algorithms and finite element methods. Zbl 1059.65001 1 2004 Method for computing scattering matrices for general dissipative and selfadjoint elliptic problems in domains with cylindrical ends. Zbl 1099.35031Kalvine, V. O.; Neittaanmäki, Pekka; Plamenevskii, B. A. 1 2004 A posteriori error estimation of goal-oriented quantities by a superconvergence patch recovery. Zbl 1039.65075Korotov, S.; Neittaanmäki, P.; Repin, S. 15 2003 Optimal control from theory to computer programs. Zbl 1056.49001Arnăutu, Viorel; Neittaanmäki, Pekka 8 2003 On computation of scattering matrices and on surface waves for diffraction gratings. Zbl 1022.78009Grikurov, Valery E.; Heikkola, Erkki; Neittaanmäki, Pekka; Plamenevskii, Boris A. 7 2003 Existence for shape optimization problems in arbitrary dimension. Zbl 1031.49040Liu, W. B.; Neittaanmäki, P.; Tiba, D. 5 2003 Mathematical and numerical aspects of wave propagation, WAVES 2003. Proceedings of the sixth international conference on mathematical and numerical aspects of wave propagation, Jyväskylä, Finland, 30 June – 4 July 2003. Zbl 1029.00072 4 2003 Numerical methods for scientific computing. Variational problems and applications. Zbl 1158.65006 1 2003 A method of searching for surface waves in diffraction gratings. Zbl 1148.35312Grikurov, V. E.; Heikkola, E.; Neittaanmäki, P.; Plamenevskii, B. A. 1 2002 Weakened acute type condition for tetrahedral triangulations and the discrete maximum principle. Zbl 1001.65125Korotov, Sergey; Křížek, Michal; Neittaanmäki, Pekka 59 2001 A posteriori error estimates for boundary-value problems related to the biharmonic operator. Zbl 0986.65101Neittaanmäki, P.; Repin, S. I. 7 2001 Second-order optimality conditions for nondominated solutions of multiobjective programming with \(C^{1,1}\) data. Zbl 0995.90085Liu, Liping; Neittaanmäki, Pekka; Křížek, Michal 15 2000 On the structural optimization problems. (Sur les problèmes d’optimisation structurelle.) Zbl 0980.49034Liu, Wenbin; Neittaanmäki, Pekka; Tiba, Dan 2 2000 The Neumann problem for the wave equation in a cone. Zbl 0996.35013Kokotov, A. Yu.; Neittaanmäki, P.; Plamenevskij, B. A. 1 2000 Diffraction on a cone: the asymptotic of solutions near the vertex. Zbl 1029.35160Kokotov, A. Yu.; Neittaanmäki, P.; Plamenevskii, B. A. 10 1999 On the existence of strongly regular families of triangulations for domains with a piecewise smooth boundary. Zbl 1060.65665Korotov, Sergey; Křížek, Michal; Neittaanmäki, Pekka 3 1999 Finite element analysis of a nonlinear elliptic problem with a pure radiation condition. Zbl 0953.65081Křížek, Michael; Liu, Liping; Neittaanmäki, Pekka 2 1999 Evolutionary algorithms in engineering and computer science. Recent advances in genetic algorithms, evolution strategies, evolutionary programming, genetic programming and industrial applications. EUROGEN99, Univ. of Jyväskylä, Finland, May 30 - June 3, 1999. Zbl 0922.00027 2 1999 Fictitious domain methods for the numerical solution of two-dimensional scattering problems. Zbl 0909.65119Heikkola, Erkki; Kuznetsov, Yuri A.; Neittaanmäki, Pekka; Toivanen, Jari 15 1998 Finite element methods. Superconvergence, post-processing, and a posteriori estimates. 1st conference, University of Jyväskylä, Finland. Zbl 0884.00048 11 1998 Bibliography on superconvergence. Zbl 0902.65001Křížek, Michal; Neittaanmäki, Pekka 6 1998 Discretization estimates for an elliptic control problem. Zbl 0915.49022Arnăutu, Viorel; Neittaanmäki, Pekka 3 1998 Finite element analysis for the heat conduction equation with the third boundary condition. Zbl 0935.35058Faragó, István; Korotov, Sergey; Neittaanmäki, Pekka 1 1998 Mathematical and numerical modelling in electrical engineering. Theory and practice. Zbl 0859.65128Křížek, Michal; Neittaanmäki, Pekka 3 1997 A pointwise error estimate for distributed parameter identification. Zbl 0972.34010Tai, Xue-Cheng; Neittaanmäki, Pekka 2 1997 Finite element approximation for optimal shape, material and topology design. Zbl 0845.73001Haslinger, J.; Neittaanmaki, P. 76 1996 Inverse problems and optimal design in electricity and magnetism. Zbl 0865.65090Neittaanmaki, P.; Rudnicki, M.; Savini, A. 14 1996 Higher order finite element approximation of a quasilinear elliptic boundary value problem of a non-monotone type. Zbl 0870.65096Liu, Liping; Křížek, Michal; Neittaanmäki, Pekka 12 1996 Numerical methods for nonlinear inverse problems. Zbl 0866.65040Kärkkäinen, T.; Neittaanmäki, P.; Niemistö, A. 1 1996 An embedding of domains approach in free boundary problems and optimal design. Zbl 0843.49024Neittaanmäki, P.; Tiba, D. 15 1995 On the approximation of some ill-posed problems. Zbl 0844.65069Neittaanmäki, P.; Räisänen, T.; Tiba, Dan 1 1995 Optimal control of nonlinear parabolic systems: theory, algorithms, and applications. Zbl 0812.49001Neittaanmäki, P.; Tiba, D. 109 1994 Schwarz methods for obstacle problems with convection-diffusion operators. Zbl 0817.65052Kuznetsov, Yu. A.; Neittaanmäki, P.; Tarvainen, P. 13 1994 Block relaxation methods for algebraic obstacle problems with \(M\)- matrices. Zbl 0807.65068Kuznetsov, Yu. A.; Neittaanmäki, P.; Tarvainen, P. 7 1994 Overlapping domain decomposition methods for the obstacle problem. Zbl 0795.65083Kuznetsov, Yu. A.; Neittaanmäki, P.; Tarvainen, P. 6 1994 Finite element methods. 50 years of the Courant element. Conference held at the Univ. of Jyväskylä, Finland, 1993. Zbl 0802.00026 4 1994 Approximating optimal control problems governed by variational inequalities. Zbl 0812.49012Barbu, Viorel; Neittaanmäki, Pekka; Niemistö, Antti 2 1994 Discontinuous finite element approximations for functionals with linear growth. Zbl 0849.65047Neittaanmäki, P.; Repin, S.; Rivkind, V. 1 1994 A rapid method for the identification of the free boundary in two-phase Stefan problems. Zbl 0805.65136Männikkö, T.; Neittaanmäki, P.; Tiba, D. 1 1994 Mathematical modelling of liquid drops evaporation. Zbl 0792.76014Neittaanmäki, P.; Rivkind, V. 1 1993 Nonsmooth optimization. Analysis and algorithms with applications to optimal control. Zbl 0757.49017Mäkelä, Marko M.; Neittaanmäki, Pekka 81 1992 A parallel splitting-up method for partial differential equations and its applications to Navier-Stokes equations. Zbl 0756.65129Lu, T.; Neittaanmäki, P.; Tai, X.-C. 33 1992 On a fixed domain approach for a shape optimization problem. Zbl 0766.49030Mäkinen, R. A. E.; Neittaanmäki, P.; Tiba, D. 4 1992 Error estimates for numerical identification of distributed parameters. Zbl 0793.65066Tai, Xuecheng; Neittaanmäki, Pekka 3 1992 On FE-grid relocation in solving unilateral boundary value problems by FEM. Zbl 0757.65114Haslinger, J.; Neittaanmäki, P.; Salmenjoki, K. 1 1992 A nontraditional approach for solving the Neumann problem by the finite element method. Zbl 0771.65070Křížek, Michal; Neittaanmäki, Pekka; Vondrák, Miroslav 1 1992 Sensitivity analysis for discretized unilateral plane elasticity problem. Zbl 0765.73069Haslinger, Jaroslav; Neittaanmäki, P.; Salmenjoki, K. 1 1992 Overlapping domain decomposition methods for the simplified Dirichlet- Signorini problem. Zbl 0765.65065Kuznetsov, Yu. A.; Neittaanmäki, P. 1 1992 A parallel splitting up method and its application to Navier-Stokes equations. Zbl 0718.65066Lu, T.; Neittaanmäki, P.; Tai, Xue-Cheng 45 1991 Parallel finite element splitting-up method for parabolic problems. Zbl 0747.65084Tai, Xuecheng; Neittaanmäki, Pekka 6 1991 Mathematical models in electrical circuits: theory and applications. Zbl 0728.94007Marinov, C. A.; Neittaanmäki, P. 6 1991 Nonsmooth optimization in optimal shape design. Zbl 0748.90065Mäkelä, M. M.; Neittaanmäki, P. 4 1991 On the numerical solution of the distributed parameter identification problem. Zbl 0742.35073Tai, Xue-Cheng; Neittaanmäki, Pekka 1 1991 Controllability-type properties for elliptic systems and applications. Zbl 0753.49005Tiba, D.; Neittaanmäki, P.; Mäkinen, R. 1 1991 Computer aided optimal structural design. Zbl 0760.49024Neittaanmäki, Pekka 1 1991 A linear approach for the nonlinear distributed parameter identification problem. Zbl 0733.65098Tai, Xue-Cheng; Neittaanmäki, Pekka 1 1991 Finite element approximation of variational problems and applications. Zbl 0708.65106Křížek, M; Neittaanmäki, P. 26 1990 On time-harmonic Maxwell equations with nonhomogeneous conductivities: Solvability and FE-approximation. Zbl 0696.65085Křížek, Michal; Neittaanmäki, Pekka 8 1989 Optimal shape design in contact problems of elasticity. Zbl 0711.73168Haslinger, Jaroslav; Neittaanmäki, Pekka 2 1989 Global delay time for general distributed networks with applications to timing analysis of digital MOS integrated circuits. Zbl 0677.94017Marinov, C.; Neittaanmäki, P. 1 1989 On \(O(h^ 4)\)-superconvergence of piecewise bilinear FE-approximations. Zbl 0679.65081Křížek, M.; Neittaanmäki, P. 1 1989 Finite element approximation for optimal shape design: Theory and applications. Zbl 0713.73062Haslinger, J.; Neittaanmäki, P. 88 1988 Optimization of the domain in elliptic variational inequalities. Zbl 0824.49003Neittaanmäki, P.; Sokołowski, Jan; Zolesio, Jean-Paul 8 1988 On numerical simulation of the continuous casting process. Zbl 0638.65089Laitinen, E.; Neittaanmäki, P 4 1988 On optimal mesh design for FEM in unilateral boundary value problems. Zbl 0687.73075Haslinger, J.; Neittaanmäki, P.; Salmenjoki, K. 3 1988 Optimal shape design and unilateral boundary value problems. II. Zbl 0642.49005Haslinger, J.; Neittaanmäki, P.; Tiihonen, T.; Kaarna, A. 2 1988 A theory of electrical circuits with resistively coupled distributed structures. Delay time predicting. Zbl 0618.94015Marinov, Corneliu A.; Neittaanmäki, Pekka 2 1988 ...and 40 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,413 Authors 44 Neittaanmäki, Pekka J. 38 Repin, Sergeĭ Igorevich 26 Křížek, Michal 23 Korotov, Sergey 21 Haslinger, Jaroslav 18 Chen, Yanping 17 Li, Zi-Cai 16 Mäkelä, Marko Mikael 14 Zhang, Zhimin 13 Liu, Steve Wenbin 11 Tai, Xuecheng 11 Tiba, Dan 10 Hlaváček, Ivan 10 Plamenevskiĭ, Boris Alekseevich 10 Sarafanov, Oleg V. 10 Yan, Ningning 9 Banichuk, Nikolaĭ Vladimirovich 9 Huang, Hung-Tsai 8 Bagirov, Adil M. 8 Hintermüller, Michael 8 Ivanova, Svetlana Yu. 8 Karmitsa, Napsu 8 Klarbring, Anders 8 Lin, Qun 8 Saranen, Jukka 8 Vejchodský, Tomáš 8 Walker, Shawn W. 7 Chang, Ching Lung 7 Chen, Ke 7 Düster, Alexander 7 Langer, Ulrich 7 Levin, S. B. 7 Li, Jichun 7 Miettinen, Kaisa M. 7 Murea, Cornel Marius 7 Sinha, Rajen Kumar 7 Valdman, Jan 6 Afanas’ev, V. S. 6 Babuška, Ivo 6 Bi, Chunjia 6 Casas, Eduardo 6 Faragó, István 6 Ginchev, Ivan G. 6 Karátson, János 6 Lazarov, Raytcho D. 6 Lin, Yanping 6 Lu, Zuliang 6 Matculevich, Svetlana 6 Monk, Peter B. 6 Outrata, Jiří V. 6 Rank, Ernst 6 Serovaĭskiĭ, Simon Ya. 6 Yang, Danping 5 Aniţa, Sebastian 5 Fang, Qing 5 Guerraggio, Angelo 5 Hoppe, Ronald H. W. 5 Ito, Kazufumi 5 Li, Yonghai 5 Lovíšek, Ján 5 Pauly, Dirk 5 Perotto, Simona 5 Shen, Wanfang 5 Sheng, Zhiqiang 5 Toivanen, Jari 5 Wang, Michael Yu 5 Wolfmayr, Monika 5 Zeng, Jinping 5 Zhu, Shengfeng 4 Ainsworth, Mark 4 Averbuch, Amir Z. 4 Bedivan, Dana M. 4 Borzì, Alfio 4 Budylin, A. M. 4 Chleboun, Jan 4 Daoud, Daoud S. 4 Ern, Alexandre 4 Gaudioso, Manlio 4 Gimperlein, Heiko 4 Glowinski, Roland 4 Hannukainen, Antti 4 Harbrecht, Helmut 4 He, Xiaoming 4 Huang, Fenglin 4 Huang, Qiumei 4 Huang, Yunqing 4 Kabardov, M. M. 4 Kanzow, Christian 4 Kärkkäinen, Tommi 4 Kunisch, Karl 4 Lipnikov, Konstantin N. 4 Lu, Tao 4 Machalová, Jitka 4 Mäkinen, Raino A. E. 4 Mao, Shipeng 4 Micheletti, Stefano 4 Nazarov, Sergeĭ Aleksandrovich 4 Nicaise, Serge 4 Nochetto, Ricardo Horacio 4 Noor, Khalida Inayat ...and 1,313 more Authors all top 5 Cited in 213 Serials 72 Journal of Computational and Applied Mathematics 62 Computer Methods in Applied Mechanics and Engineering 41 Computers & Mathematics with Applications 40 Applications of Mathematics 39 Applied Mathematics and Computation 29 Journal of Computational Physics 27 Mathematics of Computation 27 Numerische Mathematik 26 Journal of Mathematical Sciences (New York) 23 Numerical Functional Analysis and Optimization 21 Journal of Optimization Theory and Applications 21 Applied Numerical Mathematics 19 Journal of Scientific Computing 18 Computational Optimization and Applications 14 Aplikace Matematiky 14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 RAIRO. 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Theory, Methods & Applications 3 Inverse Problems 3 Mathematical Notes 3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 3 Calcolo 3 Computing 3 Functional Analysis and its Applications 3 Journal of Differential Equations 3 Japan Journal of Industrial and Applied Mathematics 3 Archive of Applied Mechanics 3 International Journal of Computer Vision 3 Computational and Applied Mathematics 3 Discrete and Continuous Dynamical Systems 3 Mathematics and Mechanics of Solids 3 Journal of Inequalities and Applications 3 Acta Mathematica Sinica. English Series 3 Journal of Systems Science and Complexity 3 Journal of Applied Mathematics 3 Comptes Rendus. Mathématique. 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English Series 2 Journal of Integral Equations and Applications 2 Automation and Remote Control 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering ...and 113 more Serials all top 5 Cited in 43 Fields 640 Numerical analysis (65-XX) 440 Partial differential equations (35-XX) 347 Calculus of variations and optimal control; optimization (49-XX) 205 Mechanics of deformable solids (74-XX) 151 Operations research, mathematical programming (90-XX) 92 Fluid mechanics (76-XX) 63 Optics, electromagnetic theory (78-XX) 32 Operator theory (47-XX) 30 Systems theory; control (93-XX) 27 Information and communication theory, circuits (94-XX) 26 Ordinary differential equations (34-XX) 20 Computer science (68-XX) 17 Classical thermodynamics, heat transfer (80-XX) 15 Biology and other natural sciences (92-XX) 11 Integral equations (45-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Quantum theory (81-XX) 9 Real functions (26-XX) 9 Statistics (62-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Mechanics of particles and systems (70-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Approximations and expansions (41-XX) 5 Probability theory and stochastic processes (60-XX) 4 Potential theory (31-XX) 3 Functional analysis (46-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Convex and discrete geometry (52-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Relativity and gravitational theory (83-XX) 2 Geophysics (86-XX) 1 Mathematical logic and foundations (03-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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