Edit Profile (opens in new tab) Engl, Heinz W. Co-Author Distance Author ID: engl.heinz-w Published as: Engl, Heinz W.; Engl, H. W.; Engl, H.; Engl, Heinz more...less External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 117 Publications since 1976, including 3 Books 8 Contributions as Editor Reviewing Activity: 33 Reviews Co-Authors: 68 Co-Authors with 86 Joint Publications 2,554 Co-Co-Authors all top 5 Co-Authors 34 single-authored 10 Neubauer, Andreas 7 Burger, Martin 7 Scherzer, Otmar 6 Rundell, William 5 Kügler, Philipp 4 Groetsch, Charles W. 4 Landl, Gerhard 4 Louis, Alfred Karl 4 Nashed, M. Zuhair 3 Capasso, Vincenzo 3 Kindermann, Stefan 3 Langthaler, Thomas 3 Markowich, Peter Alexander 3 McLaughlin, Joyce Rogers 3 Römisch, Werner 3 Wacker, Hansjörg 2 Binder, Andreas 2 Colton, David Lem 2 Egger, Herbert 2 Grever, Wilhelm 2 Hanke-Bourgeois, Martin 2 Haslinger, J. R. 2 Iusem, Alfredo Noel 2 Kaltenbacher, Barbara 2 Klibanov, Michael V. 2 Kress, Rainer 2 Kunisch, Karl 2 Leitão, Antonio 2 Manselli, Paolo 2 Resmerita, Elena 2 Vessella, Sergio 2 Wakolbinger, Anton 2 Zarzer, Erich Alexander 2 Zeisel, Helmut 2 Zulehner, Walter 1 Albrecher, Hansjörg 1 Anderssen, Robert Scott 1 Bodenhofer, Ulrich 1 Buchberger, Bruno 1 Carthel, C. 1 Cesari, Lamberto 1 Deuflhard, Peter 1 Drab, C. B. 1 Eisenberg, Robert S. 1 Felici, Thomas P. 1 Flamm, Christoph 1 Fúsek, Peter 1 Gfrerer, Helmut 1 Goekler, Gerald 1 Hodina, Günther 1 Hofinger, Andreas 1 Hofmann, Bernd 1 Holzleitner, Ludwig 1 Kauffmann, Harald F. 1 Kirsch, Andreas 1 Mahmoud, K. G. 1 Mayer, Philipp A. 1 Müller, Stefan 1 Offner, Günter 1 Pereverzev, Sergei V. 1 Périaux, Jacques F. 1 Pfau, Ralf Uwe 1 Pietra, Paola 1 Rosenkranz, Markus 1 Schatz, Andrea 1 Schuster, Peter 1 Yamamoto, Masahiro 1 Zou, Jun all top 5 Serials 13 Inverse Problems 6 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 6 Numerical Functional Analysis and Optimization 6 Journal of Inverse and Ill-Posed Problems 4 Journal of Mathematical Analysis and Applications 3 Applicable Analysis 3 Surveys on Mathematics for Industry 3 Nonlinear Analysis. Theory, Methods & Applications 2 Journal of Approximation Theory 2 Pacific Journal of Mathematics 2 SIAM Journal on Numerical Analysis 2 Stochastic Analysis and Applications 2 Journal of Integral Equations and Applications 2 European Consortium for Mathematics in Industry 1 Bulletin of the Australian Mathematical Society 1 Computers and Structures 1 Journal of Computational Physics 1 Mathematical Methods in the Applied Sciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Applied Mathematics and Optimization 1 Computing 1 Czechoslovak Mathematical Journal 1 Journal of Computational and Applied Mathematics 1 Journal of Optimization Theory and Applications 1 Monatshefte für Mathematik 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 Journal of Integral Equations 1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik 1 Applied Numerical Mathematics 1 Internationale Mathematische Nachrichten 1 European Journal of Applied Mathematics 1 Aequationes Mathematicae 1 SIAM Journal on Applied Mathematics 1 Zeitschrift für Operations Research. Serie B: Praxis 1 Bollettino della Unione Matemàtica Italiana. Serie VI. A 1 Nonlinear World 1 Advances in Computational Mathematics 1 European Mathematical Society Newsletter 1 Multibody System Dynamics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Milan Journal of Mathematics 1 Multiscale Modeling & Simulation 1 Bollettino della Unione Matematica Italiana. Series V. A 1 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques 1 Lecture Notes in Mathematics 1 Mathematics and its Applications (Dordrecht) 1 Notes and Reports in Mathematics in Science and Engineering 1 Aportaciones Matematicas. Textos all top 5 Fields 72 Numerical analysis (65-XX) 49 Operator theory (47-XX) 40 Partial differential equations (35-XX) 20 Integral equations (45-XX) 16 Probability theory and stochastic processes (60-XX) 8 General and overarching topics; collections (00-XX) 7 History and biography (01-XX) 7 Optics, electromagnetic theory (78-XX) 7 Biology and other natural sciences (92-XX) 6 Operations research, mathematical programming (90-XX) 5 Mechanics of deformable solids (74-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Ordinary differential equations (34-XX) 3 Measure and integration (28-XX) 3 Approximations and expansions (41-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Statistics (62-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Integral transforms, operational calculus (44-XX) 2 General topology (54-XX) 2 Fluid mechanics (76-XX) 2 Geophysics (86-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 92 Publications have been cited 2,723 times in 2,241 Documents Cited by ▼ Year ▼ Regularization of inverse problems. Zbl 0859.65054 Engl, Heinz W.; Hanke, Martin; Neubauer, Andreas 1,545 1996 Convergence rates for Tikhonov regularisation of nonlinear ill-posed problems. Zbl 0695.65037 Engl, Heinz W.; Kunisch, Karl; Neubauer, Andreas 214 1989 Tikhonov regularization applied to the inverse problem of option pricing: convergence analysis and rates. Zbl 1205.65194 Egger, Herbert; Engl, Heinz W. 71 2005 Optimal a posteriori parameter choice for Tikhonov regularization for solving nonlinear ill-posed problems. Zbl 0799.65060 Scherzer, O.; Engl, H. W.; Kunisch, K. 63 1993 Tikhonov regularization of nonlinear differential-algebraic equations. Zbl 0711.34018 Engl, H. W.; Hanke, M.; Neubauer, A. 57 1990 A new approach to convergence rate analysis of Tikhonov regularization for parameter identification in heat conduction. Zbl 0968.35124 Engl, Heinz W.; Zou, Jun 52 2000 Regularization methods for the stable solution of inverse problems. Zbl 0776.65043 Engl, Heinz W. 42 1993 Discrepancy principles for Tikhonov regularization of ill-posed problems leading to optimal convergence rates. Zbl 0586.65045 Engl, H. W. 38 1987 A convergence analysis of iterative methods for the solution of nonlinear ill-posed problems under affinely invariant conditions. Zbl 0915.65053 Deuflhard, Peter; Engl, Heinz W.; Scherzer, Otmar 34 1998 A posteriori parameter choice for general regularization methods for solving linear ill-posed problems. Zbl 0647.65038 Engl, Heinz W.; Gfrerer, Helmut 29 1988 Inverse problems in systems biology. Zbl 1193.34001 Engl, Heinz W.; Flamm, Christoph; Kügler, Philipp; Lu, James; Müller, Stefan; Schuster, Peter 28 2009 Uniqueness and stable determination of forcing terms in linear partial differential equations with overspecified boundary data. Zbl 0809.35154 Engl, Heinz W.; Scherzer, Otmar; Yamamoto, Masahiro 28 1994 Global uniqueness and Hölder stability for recovering a nonlinear source term in a parabolic equation. Zbl 1086.35132 Egger, Herbert; Engl, Heinz W.; Klibanov, Michael V. 28 2005 A Mann iterative regularization method for elliptic Cauchy problems. Zbl 0998.65114 Engl, H. W.; Leitão, A. 25 2001 Random fixed point theorems for multivalued mappings. Zbl 0355.47035 Engl, Heinz W. 24 1978 On the choice of the regularization parameter for iterated Tikhonov regularization of ill-posed problems. Zbl 0608.65033 Engl, Heinz W. 22 1987 A general stochastic fixed-point theorem for continuous random operators on stochastic domains. Zbl 0398.60063 Engl, Heinz W. 22 1978 New extremal characterizations of generalized inverse of linear operators. Zbl 0492.47012 Engl, Heinz W.; Nashed, M. Z. 18 1981 Inverse problems related to ion channel selectivity. Zbl 1127.35074 Burger, Martin; Eisenberg, Robert S.; Engl, Heinz W. 17 2007 The expectation-maximization algorithm for ill-posed integral equations: a convergence analysis. Zbl 1282.65173 Resmerita, Elena; Engl, Heinz W.; Iusem, Alfredo N. 17 2007 Necessary and sufficient conditions for convergence of regularization methods for solving linear operator equations of the first kind. Zbl 0472.65045 Engl, Heinz W. 14 1981 Convergence rates for maximum entropy regularization. Zbl 0790.65110 Engl, Heinz W.; Landl, Gerhard 14 1993 Using the \(L\)-curve for determining optimal regularization parameters. Zbl 0819.65090 Engl, Heinz W.; Grever, Wilhelm 13 1994 Identification of doping profiles in semiconductor devices. Zbl 0989.35139 Burger, Martin; Engl, Heinz W.; Markowich, Peter A.; Pietra, Paola 12 2001 Inverse and ill-posed problems. (Papers presented at the Alpine-U.S. Seminar on Inverse and Ill-posed Problems, held June 1986 in St. Wolfgang, Austria). Zbl 0623.00010 11 1987 Generalized inverses of random linear operators in Banach spaces. Zbl 0485.47001 Engl, Heinz W.; Nashed, M. Zuhair 10 1981 Convergence rates results for iterative methods for solving nonlinear ill-posed problems. Zbl 0998.65058 Engl, H. W.; Scherzer, O. 10 2000 Training neural networks with noisy data as an ill-posed problem. Zbl 1126.41301 Burger, Martin; Engl, Heinz W. 10 2000 Some random fixed point theorems for strict contractions and nonexpansive mappings. Zbl 0382.60068 Engl, Heinz W. 10 1978 Weakly closed nonlinear operators and parameter identification in parabolic equations by Tikhonov regularization. Zbl 0835.65078 Binder, Andreas; Engl, Heinz W.; Groetsch, Charles W.; Neubauer, Andreas; Scherzer, Otmar 9 1994 An improved version of Marti’s method for solving ill-posed linear integral equations. Zbl 0578.65135 Engl, Heinz W.; Neubauer, Andreas 9 1985 Optimal discrepancy principles for the Tikhonov regularization of integral equations of the first kind. Zbl 0562.65086 Engl, Heinz W.; Neubauer, Andreas 8 1985 Random generalized inverses and approximate solutions of random operator equations. Zbl 0427.60072 Nashed, M. Z.; Engl, H. W. 8 1979 Stochastic projectional schemes for random linear operator equations of the first and second kinds. Zbl 0446.60048 Engl, Heinz W.; Nashed, M. Z. 8 1979 Integral equations. (Integralgleichungen.) Zbl 0898.45001 Engl, Heinz W. 7 1997 Inverse problems related to crystallization of polymers. Zbl 0918.35143 Burger, Martin; Capasso, Vincenzo; Engl, Heinz W. 7 1999 A regularization scheme for an inverse problem in age-structured populations. Zbl 0841.92021 Engl, Heinz W.; Rundell, William; Scherzer, Otmar 7 1994 Identification of the local speed function in a Lévy model for option pricing. Zbl 1149.91034 Kindermann, S.; Mayer, P.; Albrecher, H.; Engl, H. 7 2008 Optimal parameter choice for ordinary and iterated Tikhonov regularization. Zbl 0627.65060 Engl, Heinz W.; Neubauer, Andreas 6 1987 Stability estimates and regularization for an inverse heat conduction problem in semi-infinite and finite time intervals. Zbl 0682.35101 Engl, Heinz W.; Manselli, Paolo 6 1989 On inverse problems for semiconductor equations. Zbl 1214.82122 Burger, M.; Engl, H. W.; Leitao, A.; Markowich, P. A. 6 2004 Regularization methods for solving inverse problems. Zbl 0992.65058 Engl, Heinz W. 6 2000 Identification of a temperature dependent heat conductivity by Tikhonov regularization. Zbl 1027.35159 Kügler, P.; Engl, H. W. 6 2002 Parameter identification in a random environment exemplified by a multiscale model for crystal growth. Zbl 1185.60010 Capasso, Vincenzo; Engl, Heinz W.; Kindermann, Stefan 6 2008 Solving linear boundary value problems via non-commutative Gröbner bases. Zbl 1042.34030 Rosenkranz, Markus; Buchberger, Bruno; Engl, Heinz W. 6 2003 Numerical solution of an inverse problem connected with continuous casting of steel. Zbl 0591.90096 Engl, H. W.; Langthaler, T. 6 1985 Some inverse problems for a nonlinear parabolic equation connected with continuous casting of steel: Stability estimates and regularization. Zbl 0738.65088 Binder, Andreas; Engl, Heinz W.; Vessella, Sergio 6 1990 Inverse Problems in medical imaging and nondestructive testing. Proceedings of the conference in Oberwolfach, Germany, February 4–10, 1996. Zbl 0871.00041 6 1997 Projection-regularization methods for linear operator equations of the first kind. Zbl 0671.47006 Engl, Heinz W.; Groetsch, Charles W. 5 1988 On the convergence of regularization methods for ill-posed linear operator equations. Zbl 0514.65039 Engl, H. W. 5 1983 Convergence of approximate solutions of nonlinear random operator equations with non-unique solutions. Zbl 0517.60069 Engl, Heinz W.; Roemisch, Werner 5 1983 Inverse problems in diffusion processes. Proceedings of the GAMM-SIAM symposium, St. Wolfgang, Austria, June 27-July 1, 1994. Zbl 0829.00025 5 1995 Regularized data-driven construction of fuzzy controllers. Zbl 1022.65073 Burger, M.; Haslinger, J.; Bodenhofer, U.; Engl, H. W. 5 2002 Random fixed point theorems. Zbl 0462.60065 Engl, Heinz W. 5 1978 On an inverse problem for a nonlinear heat equation connected with continuous casting of steel. Zbl 0629.35115 Engl, Heinz W.; Langthaler, Thomas; Manselli, Paolo 4 1987 Weak convergence of approximate solutions of stochastic equations with applications to random differential and integral equations. Zbl 0631.60062 Engl, Heinz W.; Römisch, Werner 4 1987 Approximate solutions of nonlinear random operator equations: Convergence in distribution. Zbl 0525.60068 Engl, Heinz W.; Römisch, Werner 4 1985 Surveys on solution methods for inverse problems. Zbl 0948.00011 4 2000 Introduction to: Surveys on solution methods for inverse problems. Zbl 0963.01010 Colton, D.; Engl, H. W.; Louis, A. K.; McLaughlin, J. R.; Rundell, W. 4 2000 Natural linearization for the identification of nonlinear heat transfer laws. Zbl 1095.35067 Engl, H. W.; Fusek, P.; Pereverzev, S. V. 4 2005 A parameter choice strategy for (iterated) Tikhonov regularization of ill-posed problems leading to superconvergence with optimal rates. Zbl 0621.65053 Engl, Heinz W.; Neubauer, Andreas 4 1988 Parameter identification from boundary measurements in a parabolic equation arising from geophysics. Zbl 0776.35083 Scherzer, O.; Engl, H. W.; Anderssen, R. S. 4 1993 Convergence rates for Tikhonov regularization in finite-dimensional subspaces of Hilbert scales. Zbl 0654.65041 Engl, Heinz W.; Neubauer, Andreas 3 1988 The influence of the equation type on iterative parameter identification problems which are elliptic or hyperbolic in the parameter. Zbl 1055.35137 Engl, Heinz W.; Kügler, Philipp 3 2003 Convergence rates in the Prokhorov metric for assessing uncertainty in ill-posed problems. Zbl 1134.65350 Engl, Heinz W.; Hofinger, Andreas; Kindermann, Stefan 3 2005 Optimum structural design using MSC/NASTRAN and sequential quadratic programming. Zbl 0868.73057 Mahmoud, K. G.; Engl, H. W.; Holzleitner, L. 3 1994 Weak convergence of asymptotically regular sequences for nonexpansive mappings and connections with certain Chebyshef-centers. Zbl 0409.47040 Engl, Heinz W. 3 1977 Existence of measurable optima in stochastic nonlinear programming and control. Zbl 0418.90067 Engl, Heinz W. 3 1979 An optimal stopping rule for the \(v\)-method for solving ill-posed problems, using Christoffel functions. Zbl 0812.41028 Hanke, Martin; Engl, Heinz W. 3 1994 Case studies in industrial mathematics. Zbl 0649.00007 2 1988 Existence and uniqueness of solutions for nonlinear alternative problems in a Banach space. Zbl 0499.34040 Cesari, Lamberto; Engl, Heinz W. 2 1981 Dynamic simulation of crankshaft multibody systems. Zbl 1347.70012 Drab, C. B.; Engl, H. W.; Haslinger, J. R.; Offner, G.; Pfau, R. U.; Zulehner, W. 2 2009 Continuity properties of the extension of a locally Lipschitz continuous map to the space of probability measures. Zbl 0571.60069 Engl, H. W.; Wakolbinger, A. 2 1985 A combined boundary value and transmission problem arising from the calculation of eddy currents: well-posedness and numerical treatment. Zbl 0578.35012 Engl, H. W.; Lindner, E. 2 1984 Inverse doping problems for semiconductor devices. Zbl 1255.82062 Burger, Martin; Engl, Heinz W.; Markowich, Peter A. 2 2002 Hansjörg Wacker (1939-1991). Zbl 0733.01023 Engl, Heinz W. 2 1991 Inverse problems in geophysical applications. Proceedings of the GAMM-SIAM conference held in Yosemite, CA, USA, December 16–19, 1995. Zbl 0857.00035 2 1997 A decreasing rearrangement approach for a class of ill-posed nonlinear integral equations. Zbl 0799.65149 Engl, Heinz W.; Hofmann, Bernd; Zeisel, Helmut 2 1993 On weak limits of probability distributions on Polish spaces. Zbl 0512.60008 Engl, Heinz W.; Wakolbinger, Anton 1 1983 Identification of heat transfer functions in continuous casting of steel by regularization. Zbl 0973.35195 Carthel, C.; Engl, H. W. 1 2000 On shape optimization of optical waveguides using inverse problem techniques. Zbl 0987.35163 Felici, Thomas; Engl, Heinz W. 1 2001 Tikhonov regularization for an inverse source problem for a coupled system of reaction-diffusion equations. Zbl 0919.35146 Engl, H. W.; Nanda, A. 1 1998 Identification of parameters in polymer crystallization, semiconductor models and elasticity via iterative regularization methods. Zbl 1059.35166 Engl, H. W. 1 2002 An application of Tikhonov regularization to phase retrieval. Zbl 0896.65093 Blaschke, B.; Engl, H. W.; Grever, W.; Klibanov, M. V. 1 1996 Nonlinear inverse problems: theoretical aspects and some industrial applications. Zbl 1069.65061 Engl, Heinz W.; Kügler, Philipp 1 2004 Inverse and ill-posed problems. (Inverse und inkorrekt gestellte Probleme.) Zbl 0747.35052 Engl, Heinz W. 1 1991 Uniform convergence of regularization methods for linear ill-posed problems. Zbl 0747.65037 Engl, Heinz W.; Hodina, Günther 1 1991 Regularization methods for nonlinear ill-posed problems with applications to phase reconstruction. Zbl 0880.65034 Blaschke-Kaltenbacher, Barbara; Engl, Heinz W. 1 1997 Ausgewählte Aspekte der Kontrolltheorie. Zbl 0388.49003 Engl, H. W.; Wacker, Hj.; Zarzer, E. A. 1 1976 Bemerkungen zur Aufwandsminimierung bei Stetigkeitsmethoden sowie Alternativen bei der Behandlung der singulären Situation. Zbl 0402.65039 Wacker, Hj.; Engl, H.; Zarzer, E. 1 1977 Weak convergence of Mann iteration for nonexpansive mappings without convexity assumptions. Zbl 0409.47041 Engl, Heinz W. 1 1977 Corrigendum: The expectation-maximization algorithm for ill-posed integral equations: a convergence analysis. Zbl 1282.65174 Resmerita, Elena; Engl, Heinz W.; Iusem, Alfredo N. 1 2008 Inverse problems in systems biology. Zbl 1193.34001 Engl, Heinz W.; Flamm, Christoph; Kügler, Philipp; Lu, James; Müller, Stefan; Schuster, Peter 28 2009 Dynamic simulation of crankshaft multibody systems. Zbl 1347.70012 Drab, C. B.; Engl, H. W.; Haslinger, J. R.; Offner, G.; Pfau, R. U.; Zulehner, W. 2 2009 Identification of the local speed function in a Lévy model for option pricing. Zbl 1149.91034 Kindermann, S.; Mayer, P.; Albrecher, H.; Engl, H. 7 2008 Parameter identification in a random environment exemplified by a multiscale model for crystal growth. Zbl 1185.60010 Capasso, Vincenzo; Engl, Heinz W.; Kindermann, Stefan 6 2008 Corrigendum: The expectation-maximization algorithm for ill-posed integral equations: a convergence analysis. Zbl 1282.65174 Resmerita, Elena; Engl, Heinz W.; Iusem, Alfredo N. 1 2008 Inverse problems related to ion channel selectivity. Zbl 1127.35074 Burger, Martin; Eisenberg, Robert S.; Engl, Heinz W. 17 2007 The expectation-maximization algorithm for ill-posed integral equations: a convergence analysis. Zbl 1282.65173 Resmerita, Elena; Engl, Heinz W.; Iusem, Alfredo N. 17 2007 Tikhonov regularization applied to the inverse problem of option pricing: convergence analysis and rates. Zbl 1205.65194 Egger, Herbert; Engl, Heinz W. 71 2005 Global uniqueness and Hölder stability for recovering a nonlinear source term in a parabolic equation. Zbl 1086.35132 Egger, Herbert; Engl, Heinz W.; Klibanov, Michael V. 28 2005 Natural linearization for the identification of nonlinear heat transfer laws. Zbl 1095.35067 Engl, H. W.; Fusek, P.; Pereverzev, S. V. 4 2005 Convergence rates in the Prokhorov metric for assessing uncertainty in ill-posed problems. Zbl 1134.65350 Engl, Heinz W.; Hofinger, Andreas; Kindermann, Stefan 3 2005 On inverse problems for semiconductor equations. Zbl 1214.82122 Burger, M.; Engl, H. W.; Leitao, A.; Markowich, P. A. 6 2004 Nonlinear inverse problems: theoretical aspects and some industrial applications. Zbl 1069.65061 Engl, Heinz W.; Kügler, Philipp 1 2004 Solving linear boundary value problems via non-commutative Gröbner bases. Zbl 1042.34030 Rosenkranz, Markus; Buchberger, Bruno; Engl, Heinz W. 6 2003 The influence of the equation type on iterative parameter identification problems which are elliptic or hyperbolic in the parameter. Zbl 1055.35137 Engl, Heinz W.; Kügler, Philipp 3 2003 Identification of a temperature dependent heat conductivity by Tikhonov regularization. Zbl 1027.35159 Kügler, P.; Engl, H. W. 6 2002 Regularized data-driven construction of fuzzy controllers. Zbl 1022.65073 Burger, M.; Haslinger, J.; Bodenhofer, U.; Engl, H. W. 5 2002 Inverse doping problems for semiconductor devices. Zbl 1255.82062 Burger, Martin; Engl, Heinz W.; Markowich, Peter A. 2 2002 Identification of parameters in polymer crystallization, semiconductor models and elasticity via iterative regularization methods. Zbl 1059.35166 Engl, H. W. 1 2002 A Mann iterative regularization method for elliptic Cauchy problems. Zbl 0998.65114 Engl, H. W.; Leitão, A. 25 2001 Identification of doping profiles in semiconductor devices. Zbl 0989.35139 Burger, Martin; Engl, Heinz W.; Markowich, Peter A.; Pietra, Paola 12 2001 On shape optimization of optical waveguides using inverse problem techniques. Zbl 0987.35163 Felici, Thomas; Engl, Heinz W. 1 2001 A new approach to convergence rate analysis of Tikhonov regularization for parameter identification in heat conduction. Zbl 0968.35124 Engl, Heinz W.; Zou, Jun 52 2000 Convergence rates results for iterative methods for solving nonlinear ill-posed problems. Zbl 0998.65058 Engl, H. W.; Scherzer, O. 10 2000 Training neural networks with noisy data as an ill-posed problem. Zbl 1126.41301 Burger, Martin; Engl, Heinz W. 10 2000 Regularization methods for solving inverse problems. Zbl 0992.65058 Engl, Heinz W. 6 2000 Surveys on solution methods for inverse problems. Zbl 0948.00011 4 2000 Introduction to: Surveys on solution methods for inverse problems. Zbl 0963.01010 Colton, D.; Engl, H. W.; Louis, A. K.; McLaughlin, J. R.; Rundell, W. 4 2000 Identification of heat transfer functions in continuous casting of steel by regularization. Zbl 0973.35195 Carthel, C.; Engl, H. W. 1 2000 Inverse problems related to crystallization of polymers. Zbl 0918.35143 Burger, Martin; Capasso, Vincenzo; Engl, Heinz W. 7 1999 A convergence analysis of iterative methods for the solution of nonlinear ill-posed problems under affinely invariant conditions. Zbl 0915.65053 Deuflhard, Peter; Engl, Heinz W.; Scherzer, Otmar 34 1998 Tikhonov regularization for an inverse source problem for a coupled system of reaction-diffusion equations. Zbl 0919.35146 Engl, H. W.; Nanda, A. 1 1998 Integral equations. (Integralgleichungen.) Zbl 0898.45001 Engl, Heinz W. 7 1997 Inverse Problems in medical imaging and nondestructive testing. Proceedings of the conference in Oberwolfach, Germany, February 4–10, 1996. Zbl 0871.00041 6 1997 Inverse problems in geophysical applications. Proceedings of the GAMM-SIAM conference held in Yosemite, CA, USA, December 16–19, 1995. Zbl 0857.00035 2 1997 Regularization methods for nonlinear ill-posed problems with applications to phase reconstruction. Zbl 0880.65034 Blaschke-Kaltenbacher, Barbara; Engl, Heinz W. 1 1997 Regularization of inverse problems. Zbl 0859.65054 Engl, Heinz W.; Hanke, Martin; Neubauer, Andreas 1,545 1996 An application of Tikhonov regularization to phase retrieval. Zbl 0896.65093 Blaschke, B.; Engl, H. W.; Grever, W.; Klibanov, M. V. 1 1996 Inverse problems in diffusion processes. Proceedings of the GAMM-SIAM symposium, St. Wolfgang, Austria, June 27-July 1, 1994. Zbl 0829.00025 5 1995 Uniqueness and stable determination of forcing terms in linear partial differential equations with overspecified boundary data. Zbl 0809.35154 Engl, Heinz W.; Scherzer, Otmar; Yamamoto, Masahiro 28 1994 Using the \(L\)-curve for determining optimal regularization parameters. Zbl 0819.65090 Engl, Heinz W.; Grever, Wilhelm 13 1994 Weakly closed nonlinear operators and parameter identification in parabolic equations by Tikhonov regularization. Zbl 0835.65078 Binder, Andreas; Engl, Heinz W.; Groetsch, Charles W.; Neubauer, Andreas; Scherzer, Otmar 9 1994 A regularization scheme for an inverse problem in age-structured populations. Zbl 0841.92021 Engl, Heinz W.; Rundell, William; Scherzer, Otmar 7 1994 Optimum structural design using MSC/NASTRAN and sequential quadratic programming. Zbl 0868.73057 Mahmoud, K. G.; Engl, H. W.; Holzleitner, L. 3 1994 An optimal stopping rule for the \(v\)-method for solving ill-posed problems, using Christoffel functions. Zbl 0812.41028 Hanke, Martin; Engl, Heinz W. 3 1994 Optimal a posteriori parameter choice for Tikhonov regularization for solving nonlinear ill-posed problems. Zbl 0799.65060 Scherzer, O.; Engl, H. W.; Kunisch, K. 63 1993 Regularization methods for the stable solution of inverse problems. Zbl 0776.65043 Engl, Heinz W. 42 1993 Convergence rates for maximum entropy regularization. Zbl 0790.65110 Engl, Heinz W.; Landl, Gerhard 14 1993 Parameter identification from boundary measurements in a parabolic equation arising from geophysics. Zbl 0776.35083 Scherzer, O.; Engl, H. W.; Anderssen, R. S. 4 1993 A decreasing rearrangement approach for a class of ill-posed nonlinear integral equations. Zbl 0799.65149 Engl, Heinz W.; Hofmann, Bernd; Zeisel, Helmut 2 1993 Hansjörg Wacker (1939-1991). Zbl 0733.01023 Engl, Heinz W. 2 1991 Inverse and ill-posed problems. (Inverse und inkorrekt gestellte Probleme.) Zbl 0747.35052 Engl, Heinz W. 1 1991 Uniform convergence of regularization methods for linear ill-posed problems. Zbl 0747.65037 Engl, Heinz W.; Hodina, Günther 1 1991 Tikhonov regularization of nonlinear differential-algebraic equations. Zbl 0711.34018 Engl, H. W.; Hanke, M.; Neubauer, A. 57 1990 Some inverse problems for a nonlinear parabolic equation connected with continuous casting of steel: Stability estimates and regularization. Zbl 0738.65088 Binder, Andreas; Engl, Heinz W.; Vessella, Sergio 6 1990 Convergence rates for Tikhonov regularisation of nonlinear ill-posed problems. Zbl 0695.65037 Engl, Heinz W.; Kunisch, Karl; Neubauer, Andreas 214 1989 Stability estimates and regularization for an inverse heat conduction problem in semi-infinite and finite time intervals. Zbl 0682.35101 Engl, Heinz W.; Manselli, Paolo 6 1989 A posteriori parameter choice for general regularization methods for solving linear ill-posed problems. Zbl 0647.65038 Engl, Heinz W.; Gfrerer, Helmut 29 1988 Projection-regularization methods for linear operator equations of the first kind. Zbl 0671.47006 Engl, Heinz W.; Groetsch, Charles W. 5 1988 A parameter choice strategy for (iterated) Tikhonov regularization of ill-posed problems leading to superconvergence with optimal rates. Zbl 0621.65053 Engl, Heinz W.; Neubauer, Andreas 4 1988 Convergence rates for Tikhonov regularization in finite-dimensional subspaces of Hilbert scales. Zbl 0654.65041 Engl, Heinz W.; Neubauer, Andreas 3 1988 Case studies in industrial mathematics. Zbl 0649.00007 2 1988 Discrepancy principles for Tikhonov regularization of ill-posed problems leading to optimal convergence rates. Zbl 0586.65045 Engl, H. W. 38 1987 On the choice of the regularization parameter for iterated Tikhonov regularization of ill-posed problems. Zbl 0608.65033 Engl, Heinz W. 22 1987 Inverse and ill-posed problems. (Papers presented at the Alpine-U.S. Seminar on Inverse and Ill-posed Problems, held June 1986 in St. Wolfgang, Austria). Zbl 0623.00010 11 1987 Optimal parameter choice for ordinary and iterated Tikhonov regularization. Zbl 0627.65060 Engl, Heinz W.; Neubauer, Andreas 6 1987 On an inverse problem for a nonlinear heat equation connected with continuous casting of steel. Zbl 0629.35115 Engl, Heinz W.; Langthaler, Thomas; Manselli, Paolo 4 1987 Weak convergence of approximate solutions of stochastic equations with applications to random differential and integral equations. Zbl 0631.60062 Engl, Heinz W.; Römisch, Werner 4 1987 An improved version of Marti’s method for solving ill-posed linear integral equations. Zbl 0578.65135 Engl, Heinz W.; Neubauer, Andreas 9 1985 Optimal discrepancy principles for the Tikhonov regularization of integral equations of the first kind. Zbl 0562.65086 Engl, Heinz W.; Neubauer, Andreas 8 1985 Numerical solution of an inverse problem connected with continuous casting of steel. Zbl 0591.90096 Engl, H. W.; Langthaler, T. 6 1985 Approximate solutions of nonlinear random operator equations: Convergence in distribution. Zbl 0525.60068 Engl, Heinz W.; Römisch, Werner 4 1985 Continuity properties of the extension of a locally Lipschitz continuous map to the space of probability measures. Zbl 0571.60069 Engl, H. W.; Wakolbinger, A. 2 1985 A combined boundary value and transmission problem arising from the calculation of eddy currents: well-posedness and numerical treatment. Zbl 0578.35012 Engl, H. W.; Lindner, E. 2 1984 On the convergence of regularization methods for ill-posed linear operator equations. Zbl 0514.65039 Engl, H. W. 5 1983 Convergence of approximate solutions of nonlinear random operator equations with non-unique solutions. Zbl 0517.60069 Engl, Heinz W.; Roemisch, Werner 5 1983 On weak limits of probability distributions on Polish spaces. Zbl 0512.60008 Engl, Heinz W.; Wakolbinger, Anton 1 1983 New extremal characterizations of generalized inverse of linear operators. Zbl 0492.47012 Engl, Heinz W.; Nashed, M. Z. 18 1981 Necessary and sufficient conditions for convergence of regularization methods for solving linear operator equations of the first kind. Zbl 0472.65045 Engl, Heinz W. 14 1981 Generalized inverses of random linear operators in Banach spaces. Zbl 0485.47001 Engl, Heinz W.; Nashed, M. Zuhair 10 1981 Existence and uniqueness of solutions for nonlinear alternative problems in a Banach space. Zbl 0499.34040 Cesari, Lamberto; Engl, Heinz W. 2 1981 Random generalized inverses and approximate solutions of random operator equations. Zbl 0427.60072 Nashed, M. Z.; Engl, H. W. 8 1979 Stochastic projectional schemes for random linear operator equations of the first and second kinds. Zbl 0446.60048 Engl, Heinz W.; Nashed, M. Z. 8 1979 Existence of measurable optima in stochastic nonlinear programming and control. Zbl 0418.90067 Engl, Heinz W. 3 1979 Random fixed point theorems for multivalued mappings. Zbl 0355.47035 Engl, Heinz W. 24 1978 A general stochastic fixed-point theorem for continuous random operators on stochastic domains. Zbl 0398.60063 Engl, Heinz W. 22 1978 Some random fixed point theorems for strict contractions and nonexpansive mappings. Zbl 0382.60068 Engl, Heinz W. 10 1978 Random fixed point theorems. Zbl 0462.60065 Engl, Heinz W. 5 1978 Weak convergence of asymptotically regular sequences for nonexpansive mappings and connections with certain Chebyshef-centers. Zbl 0409.47040 Engl, Heinz W. 3 1977 Bemerkungen zur Aufwandsminimierung bei Stetigkeitsmethoden sowie Alternativen bei der Behandlung der singulären Situation. Zbl 0402.65039 Wacker, Hj.; Engl, H.; Zarzer, E. 1 1977 Weak convergence of Mann iteration for nonexpansive mappings without convexity assumptions. Zbl 0409.47041 Engl, Heinz W. 1 1977 Ausgewählte Aspekte der Kontrolltheorie. Zbl 0388.49003 Engl, H. W.; Wacker, Hj.; Zarzer, E. A. 1 1976 all cited Publications top 5 cited Publications all top 5 Cited by 2,786 Authors 78 Reichel, Lothar 42 Hofmann, Bernd 30 Han, Bo 30 Nair, M. Thamban 30 Neubauer, Andreas 29 Kaltenbacher, Barbara 29 Scherzer, Otmar 28 Wei, Ting 28 Xiong, Xiangtuan 27 George, Santhosh 26 Engl, Heinz W. 24 Ramlau, Ronny 23 Fu, Chuli 22 Buccini, Alessandro 22 Donatelli, Marco 22 Kindermann, Stefan 22 Mathé, Peter 21 Jin, Qinian 20 Jin, Bangti 20 Lu, Shuai 19 Burger, Martin 19 Pereverzev, Sergei V. 18 Leitão, Antonio 18 Yang, Liu 17 Deng, Zuicha 17 Leonov, Aleksandr Sergeevich 16 Yang, Fan 15 Sgallari, Fiorella 14 Haltmeier, Markus 13 Mahale, Pallavi 13 Rajan, M. P. 13 Stuart, Andrew M. 13 Trong, Dang Duc 13 Zhang, Ye 13 Zou, Jun 12 Lesnic, Daniel 12 Smirnova, Alexandra B. 11 Bakushinskĭ, Anatoliĭ Borisovich B. 11 De Cezaro, Adriano 11 Đinh Nho Hào 11 Li, Xiaoxiao 11 Nashed, M. Zuhair 11 Qian, Zhi 11 Rosasco, Lorenzo A. 11 Schönlieb, Carola-Bibiane 11 Serra-Capizzano, Stefano 11 Yang, Hongqi 10 He, Guoqiang 10 Hohage, Thorsten 10 Hubmer, Simon 10 Johansson, B. Tomas 10 Morigi, Serena 10 Sadok, Hassane 10 Wang, Wei 10 Zhang, Mingji 9 Gerth, Daniel 9 Hanke-Bourgeois, Martin 9 Jiang, Daijun 9 Maass, Peter 9 Marin, Liviu 9 Reddy, G. Datatreya 9 Tautenhahn, Ulrich 9 Yamamoto, Masahiro 8 Argyros, Ioannis Konstantinos 8 Ascher, Uri M. 8 Benchohra, Mouffak 8 Blanchard, Gilles 8 Chen, Dehan 8 Cheng, Xiaoliang 8 Feng, Xiaoli 8 Fu, Zhenwu 8 Golubev, Yuriĭ K. 8 Hai, Dinh Nguyen Duy 8 Hämarik, Uno 8 Klibanov, Michael V. 8 Li, Li 8 Liu, Weishi 8 Loubes, Jean-Michel 8 Nguyen Huy Tuan 8 Noschese, Silvia 8 Plato, Robert 8 Quyen, Tran Nhan Tam 8 Rodriguez, Giuseppe 8 Spies, Ruben D. 8 Werner, Frank 8 Yagola, Anatoliĭ Grigor’evich 8 Zhang, Rong 7 Anderssen, Robert Scott 7 Estatico, Claudio 7 Freeden, Willi 7 Gong, Rongfang 7 Groetsch, Charles W. 7 Hamdi, Adel 7 Hasanoǧlu, Alemdar 7 Huang, Guang-Xin 7 Jbilou, Khalide 7 Jia, Zhongxiao 7 Kabanikhin, Sergeĭ Igorevich 7 Kang, Chuangang 7 Kunisch, Karl ...and 2,686 more Authors all top 5 Cited in 352 Serials 142 Inverse Problems 116 Journal of Computational and Applied Mathematics 107 Journal of Inverse and Ill-Posed Problems 73 Inverse Problems in Science and Engineering 67 Applied Mathematics and Computation 53 Numerical Functional Analysis and Optimization 48 Journal of Mathematical Analysis and Applications 45 Applied Numerical Mathematics 42 Applicable Analysis 41 Journal of Computational Physics 41 Numerical Algorithms 41 Inverse Problems and Imaging 36 Numerische Mathematik 30 Computers & Mathematics with Applications 29 Journal of Integral Equations and Applications 29 Applied Mathematical Modelling 29 SIAM Journal on Imaging Sciences 24 ETNA. 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Académie des Sciences, Paris 5 International Journal of Computational Methods 5 Mediterranean Journal of Mathematics 5 Fixed Point Theory and Applications 5 Journal of Theoretical Biology 5 AIMS Mathematics 4 International Journal for Numerical Methods in Engineering 4 Journal of Multivariate Analysis 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Chinese Annals of Mathematics. Series B 4 Physica D ...and 252 more Serials all top 5 Cited in 53 Fields 1,465 Numerical analysis (65-XX) 687 Partial differential equations (35-XX) 537 Operator theory (47-XX) 222 Statistics (62-XX) 195 Calculus of variations and optimal control; optimization (49-XX) 164 Integral equations (45-XX) 150 Biology and other natural sciences (92-XX) 147 Information and communication theory, circuits (94-XX) 129 Computer science (68-XX) 122 Operations research, mathematical programming (90-XX) 105 Probability theory and stochastic processes (60-XX) 88 Optics, electromagnetic theory (78-XX) 77 Systems theory; control (93-XX) 69 Classical thermodynamics, heat transfer (80-XX) 68 Mechanics of deformable solids (74-XX) 66 Ordinary differential equations (34-XX) 65 Fluid mechanics (76-XX) 60 Geophysics (86-XX) 58 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 38 Functional analysis (46-XX) 36 Approximations and expansions (41-XX) 32 Linear and multilinear algebra; matrix theory (15-XX) 32 Integral transforms, operational calculus (44-XX) 30 Real functions (26-XX) 26 Harmonic analysis on Euclidean spaces (42-XX) 25 Statistical mechanics, structure of matter (82-XX) 17 Potential theory (31-XX) 17 Dynamical systems and ergodic theory (37-XX) 12 Functions of a complex variable (30-XX) 10 General topology (54-XX) 10 Quantum theory (81-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 General and overarching topics; collections (00-XX) 5 Measure and integration (28-XX) 5 Special functions (33-XX) 5 Convex and discrete geometry (52-XX) 5 Differential geometry (53-XX) 5 Mechanics of particles and systems (70-XX) 5 Astronomy and astrophysics (85-XX) 4 History and biography (01-XX) 3 Combinatorics (05-XX) 2 Mathematical logic and foundations (03-XX) 2 Commutative algebra (13-XX) 2 Abstract harmonic analysis (43-XX) 2 Relativity and gravitational theory (83-XX) 2 Mathematics education (97-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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