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## Engl, Heinz W.

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 Author ID: engl.heinz-w Published as: Engl, H.; Engl, H. W.; Engl, Heinz; Engl, Heinz W. External Links: MGP · Wikidata · GND
 Documents Indexed: 125 Publications since 1976, including 11 Books Reviewing Activity: 33 Reviews
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#### 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 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 Kindermann, Stefan 2 Klibanov, Michael V. 2 Kress, Rainer 2 Kunisch, Karl 2 Leitão, Antonio 2 Lindner, Ewald Hans 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 Hanke, Michael 1 Hodina, Günther 1 Hofinger, Andreas 1 Hofmann, Bernd 1 Holzleitner, Ludwig 1 Kauffmann, Harald F. 1 Kendermann, S. 1 Kirsch, Andreas 1 Lu, James J. 1 Mahmoud, K. G. 1 Mayer, Philipp A. 1 Müller, Stefan 1 Nanda, Arati 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 Seidel, Alexander 1 Stangl, Claudia 1 Yamamoto, Masahiro 1 Zou, Jun
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#### 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 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 Aportaciones Matematicas. Textos
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#### 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)

#### Citations contained in zbMATH Open

87 Publications have been cited 2,193 times in 1,743 Documents Cited by Year
Regularization of inverse problems. Zbl 0859.65054
Engl, Heinz W.; Hanke, Martin; Neubauer, Andreas
1996
Convergence rates for Tikhonov regularisation of nonlinear ill-posed problems. Zbl 0695.65037
Engl, Heinz W.; Kunisch, Karl; Neubauer, Andreas
1989
Tikhonov regularization of nonlinear differential-algebraic equations. Zbl 0711.34018
Engl, H. W.; Hanke, M.; Neubauer, A.
1990
Tikhonov regularization applied to the inverse problem of option pricing: convergence analysis and rates. Zbl 1205.65194
Egger, Herbert; Engl, Heinz W.
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.
1993
A new approach to convergence rate analysis of Tikhonov regularization for parameter identification in heat conduction. Zbl 0968.35124
Engl, Heinz W.; Zou, Jun
2000
Regularization methods for the stable solution of inverse problems. Zbl 0776.65043
Engl, Heinz W.
1993
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
1998
Discrepancy principles for Tikhonov regularization of ill-posed problems leading to optimal convergence rates. Zbl 0586.65045
Engl, H. W.
1987
A posteriori parameter choice for general regularization methods for solving linear ill-posed problems. Zbl 0647.65038
Engl, Heinz W.; Gfrerer, Helmut
1988
Inverse problems in systems biology. Zbl 1193.34001
Engl, Heinz W.; Flamm, Christoph; Kügler, Philipp; Lu, James; Müller, Stefan; Schuster, Peter
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
1994
Random fixed point theorems for multivalued mappings. Zbl 0355.47035
Engl, Heinz W.
1978
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.
2005
A Mann iterative regularization method for elliptic Cauchy problems. Zbl 0998.65114
Engl, H. W.; Leitão, A.
2001
On the choice of the regularization parameter for iterated Tikhonov regularization of ill-posed problems. Zbl 0608.65033
Engl, Heinz W.
1987
New extremal characterizations of generalized inverse of linear operators. Zbl 0492.47012
Engl, Heinz W.; Nashed, M. Z.
1981
The expectation-maximization algorithm for ill-posed integral equations: a convergence analysis. Zbl 1282.65173
Resmerita, Elena; Engl, Heinz W.; Iusem, Alfredo N.
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.
1981
A general stochastic fixed-point theorem for continuous random operators on stochastic domains. Zbl 0398.60063
Engl, Heinz W.
1978
Inverse problems related to ion channel selectivity. Zbl 1127.35074
Burger, Martin; Eisenberg, Robert S.; Engl, Heinz W.
2007
Using the $$L$$-curve for determining optimal regularization parameters. Zbl 0819.65090
Engl, Heinz W.; Grever, Wilhelm
1994
Convergence rates results for iterative methods for solving nonlinear ill-posed problems. Zbl 0998.65058
Engl, H. W.; Scherzer, O.
2000
Convergence rates for maximum entropy regularization. Zbl 0790.65110
Engl, Heinz W.; Landl, Gerhard
1993
Some random fixed point theorems for strict contractions and nonexpansive mappings. Zbl 0382.60068
Engl, Heinz W.
1978
Identification of doping profiles in semiconductor devices. Zbl 0989.35139
Burger, Martin; Engl, Heinz W.; Markowich, Peter A.; Pietra, Paola
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
Engl, Heinz W. (ed.); Groetsch, C. W. (ed.)
1987
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
1994
Generalized inverses of random linear operators in Banach spaces. Zbl 0485.47001
Engl, Heinz W.; Nashed, M. Zuhair
1981
Stochastic projectional schemes for random linear operator equations of the first and second kinds. Zbl 0446.60048
Engl, Heinz W.; Nashed, M. Z.
1979
Random generalized inverses and approximate solutions of random operator equations. Zbl 0427.60072
Nashed, M. Z.; Engl, H. W.
1979
Inverse problems related to crystallization of polymers. Zbl 0918.35143
Burger, Martin; Capasso, Vincenzo; Engl, Heinz W.
1999
A regularization scheme for an inverse problem in age-structured populations. Zbl 0841.92021
Engl, Heinz W.; Rundell, William; Scherzer, Otmar
1994
An improved version of Marti’s method for solving ill-posed linear integral equations. Zbl 0578.65135
Engl, Heinz W.; Neubauer, Andreas
1985
Optimal discrepancy principles for the Tikhonov regularization of integral equations of the first kind. Zbl 0562.65086
Engl, Heinz W.; Neubauer, Andreas
1985
Parameter identification in a random environment exemplified by a multiscale model for crystal growth. Zbl 1185.60010
Capasso, Vincenzo; Engl, Heinz W.; Kindermann, Stefan
2008
Solving linear boundary value problems via non-commutative Gröbner bases. Zbl 1042.34030
Rosenkranz, Markus; Buchberger, Bruno; Engl, Heinz W.
2003
Regularization methods for solving inverse problems. Zbl 0992.65058
Engl, Heinz W.
2000
Training neural networks with noisy data as an ill-posed problem. Zbl 1126.41301
Burger, Martin; Engl, Heinz W.
2000
Integral equations. Zbl 0898.45001
Engl, Heinz W.
1997
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
1989
Identification of the local speed function in a Lévy model for option pricing. Zbl 1149.91034
Kendermann, S.; Mayer, P.; Albrecher, H.; Engl, H.
2008
On inverse problems for semiconductor equations. Zbl 1214.82122
Burger, M.; Engl, H. W.; Leitao, A.; Markowich, P. A.
2004
Regularized data-driven construction of fuzzy controllers. Zbl 1022.65073
Burger, M.; Haslinger, J.; Bodenhofer, U.; Engl, H. W.
2002
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
1990
Optimal parameter choice for ordinary and iterated Tikhonov regularization. Zbl 0627.65060
Engl, Heinz W.; Neubauer, Andreas
1987
Convergence of approximate solutions of nonlinear random operator equations with non-unique solutions. Zbl 0517.60069
Engl, Heinz W.; Roemisch, Werner
1983
Random fixed point theorems. Zbl 0462.60065
Engl, Heinz W.
1978
Natural linearization for the identification of nonlinear heat transfer laws. Zbl 1095.35067
Engl, H. W.; Fusek, P.; Pereverzev, S. V.
2005
Identification of a temperature dependent heat conductivity by Tikhonov regularization. Zbl 1027.35159
Kügler, P.; Engl, H. W.
2002
Surveys on solution methods for inverse problems. Zbl 0948.00011
Colton, David (ed.); Engl, Heinz W. (ed.); Louis, Alfred K. (ed.); McLaughlin, Joyce R. (ed.); Rundell, William (ed.)
2000
Parameter identification from boundary measurements in a parabolic equation arising from geophysics. Zbl 0776.35083
Scherzer, O.; Engl, H. W.; Anderssen, R. S.
1993
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
1988
Weak convergence of approximate solutions of stochastic equations with applications to random differential and integral equations. Zbl 0631.60062
Engl, Heinz W.; Römisch, Werner
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
1987
Numerical solution of an inverse problem connected with continuous casting of steel. Zbl 0591.90096
Engl, H. W.; Langthaler, T.
1985
On the convergence of regularization methods for ill-posed linear operator equations. Zbl 0514.65039
Engl, H. W.
1983
Convergence rates in the Prokhorov metric for assessing uncertainty in ill-posed problems. Zbl 1134.65350
Engl, Heinz W.; Hofinger, Andreas; Kindermann, Stefan
2005
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
2003
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.
2000
An optimal stopping rule for the $$v$$-method for solving ill-posed problems, using Christoffel functions. Zbl 0812.41028
Hanke, Martin; Engl, Heinz W.
1994
Convergence rates for Tikhonov regularization in finite-dimensional subspaces of Hilbert scales. Zbl 0654.65041
Engl, Heinz W.; Neubauer, Andreas
1988
Approximate solutions of nonlinear random operator equations: Convergence in distribution. Zbl 0525.60068
Engl, Heinz W.; Römisch, Werner
1985
Existence and uniqueness of solutions for nonlinear alternative problems in a Banach space. Zbl 0499.34040
Cesari, Lamberto; Engl, Heinz W.
1981
Existence of measurable optima in stochastic nonlinear programming and control. Zbl 0418.90067
Engl, Heinz W.
1979
Inverse doping problems for semiconductor devices. Zbl 1255.82062
Burger, Martin; Engl, Heinz W.; Markowich, Peter A.
2002
Inverse Problems in medical imaging and nondestructive testing. Proceedings of the conference in Oberwolfach, Germany, February 4–10, 1996. Zbl 0871.00041
Engl, Heinz W. (ed.); Louis, Alfred K. (ed.); Rundell, William (ed.)
1997
Inverse problems in geophysical applications. Proceedings of the GAMM-SIAM conference held in Yosemite, CA, USA, December 16–19, 1995. Zbl 0857.00035
Engl, Heinz W. (ed.); Louis, Alfred K. (ed.); Rundell, William (ed.)
1997
Inverse problems in diffusion processes. Proceedings of the GAMM-SIAM symposium, St. Wolfgang, Austria, June 27-July 1, 1994. Zbl 0829.00025
Engl, Heinz W. (ed.); Rundell, William (ed.)
1995
Optimum structural design using MSC/NASTRAN and sequential quadratic programming. Zbl 0868.73057
Mahmoud, K. G.; Engl, H. W.; Holzleitner, L.
1994
Hansjörg Wacker (1939-1991). Zbl 0733.01023
Engl, Heinz W.
1991
Projection-regularization methods for linear operator equations of the first kind. Zbl 0671.47006
Engl, Heinz W.; Groetsch, Charles W.
1988
Case studies in industrial mathematics. Zbl 0649.00007
Engl, Heinz W. (ed.); Wacker, Hansjörg (ed.); Zulehner, Walter (ed.)
1988
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.
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.
1984
Weak convergence of asymptotically regular sequences for nonexpansive mappings and connections with certain Chebyshef-centers. Zbl 0409.47040
Engl, Heinz W.
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.
2008
Identification of parameters in polymer crystallization, semiconductor models and elasticity via iterative regularization methods. Zbl 1059.35166
Engl, H. W.
2002
Identification of heat transfer functions in continuous casting of steel by regularization. Zbl 0973.35195
Carthel, C.; Engl, H. W.
2000
Tikhonov regularization for an inverse source problem for a coupled system of reaction-diffusion equations. Zbl 0919.35146
Engl, H. W.; Nanda, A.
1998
Regularization methods for nonlinear ill-posed problems with applications to phase reconstruction. Zbl 0880.65034
Blaschke-Kaltenbacher, Barbara; Engl, Heinz W.
1997
A decreasing rearrangement approach for a class of ill-posed nonlinear integral equations. Zbl 0799.65149
Engl, Heinz W.; Hofmann, Bernd; Zeisel, Helmut
1993
Uniform convergence of regularization methods for linear ill-posed problems. Zbl 0747.65037
Engl, Heinz W.; Hodina, Günther
1991
Inverse and ill-posed problems. Zbl 0747.35052
Engl, Heinz W.
1991
On weak limits of probability distributions on Polish spaces. Zbl 0512.60008
Engl, Heinz W.; Wakolbinger, Anton
1983
Bemerkungen zur Aufwandsminimierung bei Stetigkeitsmethoden sowie Alternativen bei der Behandlung der singulären Situation. Zbl 0402.65039
Wacker, Hj.; Engl, H.; Zarzer, E.
1977
Ausgewählte Aspekte der Kontrolltheorie. Zbl 0388.49003
Engl, H. W.; Wacker, Hj.; Zarzer, E. A.
1976
Inverse problems in systems biology. Zbl 1193.34001
Engl, Heinz W.; Flamm, Christoph; Kügler, Philipp; Lu, James; Müller, Stefan; Schuster, Peter
2009
Parameter identification in a random environment exemplified by a multiscale model for crystal growth. Zbl 1185.60010
Capasso, Vincenzo; Engl, Heinz W.; Kindermann, Stefan
2008
Identification of the local speed function in a Lévy model for option pricing. Zbl 1149.91034
Kendermann, S.; Mayer, P.; Albrecher, H.; Engl, H.
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.
2008
The expectation-maximization algorithm for ill-posed integral equations: a convergence analysis. Zbl 1282.65173
Resmerita, Elena; Engl, Heinz W.; Iusem, Alfredo N.
2007
Inverse problems related to ion channel selectivity. Zbl 1127.35074
Burger, Martin; Eisenberg, Robert S.; Engl, Heinz W.
2007
Tikhonov regularization applied to the inverse problem of option pricing: convergence analysis and rates. Zbl 1205.65194
Egger, Herbert; Engl, Heinz W.
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.
2005
Natural linearization for the identification of nonlinear heat transfer laws. Zbl 1095.35067
Engl, H. W.; Fusek, P.; Pereverzev, S. V.
2005
Convergence rates in the Prokhorov metric for assessing uncertainty in ill-posed problems. Zbl 1134.65350
Engl, Heinz W.; Hofinger, Andreas; Kindermann, Stefan
2005
On inverse problems for semiconductor equations. Zbl 1214.82122
Burger, M.; Engl, H. W.; Leitao, A.; Markowich, P. A.
2004
Solving linear boundary value problems via non-commutative Gröbner bases. Zbl 1042.34030
Rosenkranz, Markus; Buchberger, Bruno; Engl, Heinz W.
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
2003
Regularized data-driven construction of fuzzy controllers. Zbl 1022.65073
Burger, M.; Haslinger, J.; Bodenhofer, U.; Engl, H. W.
2002
Identification of a temperature dependent heat conductivity by Tikhonov regularization. Zbl 1027.35159
Kügler, P.; Engl, H. W.
2002
Inverse doping problems for semiconductor devices. Zbl 1255.82062
Burger, Martin; Engl, Heinz W.; Markowich, Peter A.
2002
Identification of parameters in polymer crystallization, semiconductor models and elasticity via iterative regularization methods. Zbl 1059.35166
Engl, H. W.
2002
A Mann iterative regularization method for elliptic Cauchy problems. Zbl 0998.65114
Engl, H. W.; Leitão, A.
2001
Identification of doping profiles in semiconductor devices. Zbl 0989.35139
Burger, Martin; Engl, Heinz W.; Markowich, Peter A.; Pietra, Paola
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
2000
Convergence rates results for iterative methods for solving nonlinear ill-posed problems. Zbl 0998.65058
Engl, H. W.; Scherzer, O.
2000
Regularization methods for solving inverse problems. Zbl 0992.65058
Engl, Heinz W.
2000
Training neural networks with noisy data as an ill-posed problem. Zbl 1126.41301
Burger, Martin; Engl, Heinz W.
2000
Surveys on solution methods for inverse problems. Zbl 0948.00011
Colton, David (ed.); Engl, Heinz W. (ed.); Louis, Alfred K. (ed.); McLaughlin, Joyce R. (ed.); Rundell, William (ed.)
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.
2000
Identification of heat transfer functions in continuous casting of steel by regularization. Zbl 0973.35195
Carthel, C.; Engl, H. W.
2000
Inverse problems related to crystallization of polymers. Zbl 0918.35143
Burger, Martin; Capasso, Vincenzo; Engl, Heinz W.
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
1998
Tikhonov regularization for an inverse source problem for a coupled system of reaction-diffusion equations. Zbl 0919.35146
Engl, H. W.; Nanda, A.
1998
Integral equations. Zbl 0898.45001
Engl, Heinz W.
1997
Inverse Problems in medical imaging and nondestructive testing. Proceedings of the conference in Oberwolfach, Germany, February 4–10, 1996. Zbl 0871.00041
Engl, Heinz W. (ed.); Louis, Alfred K. (ed.); Rundell, William (ed.)
1997
Inverse problems in geophysical applications. Proceedings of the GAMM-SIAM conference held in Yosemite, CA, USA, December 16–19, 1995. Zbl 0857.00035
Engl, Heinz W. (ed.); Louis, Alfred K. (ed.); Rundell, William (ed.)
1997
Regularization methods for nonlinear ill-posed problems with applications to phase reconstruction. Zbl 0880.65034
Blaschke-Kaltenbacher, Barbara; Engl, Heinz W.
1997
Regularization of inverse problems. Zbl 0859.65054
Engl, Heinz W.; Hanke, Martin; Neubauer, Andreas
1996
Inverse problems in diffusion processes. Proceedings of the GAMM-SIAM symposium, St. Wolfgang, Austria, June 27-July 1, 1994. Zbl 0829.00025
Engl, Heinz W. (ed.); Rundell, William (ed.)
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
1994
Using the $$L$$-curve for determining optimal regularization parameters. Zbl 0819.65090
Engl, Heinz W.; Grever, Wilhelm
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
1994
A regularization scheme for an inverse problem in age-structured populations. Zbl 0841.92021
Engl, Heinz W.; Rundell, William; Scherzer, Otmar
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.
1994
Optimum structural design using MSC/NASTRAN and sequential quadratic programming. Zbl 0868.73057
Mahmoud, K. G.; Engl, H. W.; Holzleitner, L.
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.
1993
Regularization methods for the stable solution of inverse problems. Zbl 0776.65043
Engl, Heinz W.
1993
Convergence rates for maximum entropy regularization. Zbl 0790.65110
Engl, Heinz W.; Landl, Gerhard
1993
Parameter identification from boundary measurements in a parabolic equation arising from geophysics. Zbl 0776.35083
Scherzer, O.; Engl, H. W.; Anderssen, R. S.
1993
A decreasing rearrangement approach for a class of ill-posed nonlinear integral equations. Zbl 0799.65149
Engl, Heinz W.; Hofmann, Bernd; Zeisel, Helmut
1993
Hansjörg Wacker (1939-1991). Zbl 0733.01023
Engl, Heinz W.
1991
Uniform convergence of regularization methods for linear ill-posed problems. Zbl 0747.65037
Engl, Heinz W.; Hodina, Günther
1991
Inverse and ill-posed problems. Zbl 0747.35052
Engl, Heinz W.
1991
Tikhonov regularization of nonlinear differential-algebraic equations. Zbl 0711.34018
Engl, H. W.; Hanke, M.; Neubauer, A.
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
1990
Convergence rates for Tikhonov regularisation of nonlinear ill-posed problems. Zbl 0695.65037
Engl, Heinz W.; Kunisch, Karl; Neubauer, Andreas
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
1989
A posteriori parameter choice for general regularization methods for solving linear ill-posed problems. Zbl 0647.65038
Engl, Heinz W.; Gfrerer, Helmut
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
1988
Convergence rates for Tikhonov regularization in finite-dimensional subspaces of Hilbert scales. Zbl 0654.65041
Engl, Heinz W.; Neubauer, Andreas
1988
Projection-regularization methods for linear operator equations of the first kind. Zbl 0671.47006
Engl, Heinz W.; Groetsch, Charles W.
1988
Case studies in industrial mathematics. Zbl 0649.00007
Engl, Heinz W. (ed.); Wacker, Hansjörg (ed.); Zulehner, Walter (ed.)
1988
Discrepancy principles for Tikhonov regularization of ill-posed problems leading to optimal convergence rates. Zbl 0586.65045
Engl, H. W.
1987
On the choice of the regularization parameter for iterated Tikhonov regularization of ill-posed problems. Zbl 0608.65033
Engl, Heinz W.
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
Engl, Heinz W. (ed.); Groetsch, C. W. (ed.)
1987
Optimal parameter choice for ordinary and iterated Tikhonov regularization. Zbl 0627.65060
Engl, Heinz W.; Neubauer, Andreas
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
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
1987
An improved version of Marti’s method for solving ill-posed linear integral equations. Zbl 0578.65135
Engl, Heinz W.; Neubauer, Andreas
1985
Optimal discrepancy principles for the Tikhonov regularization of integral equations of the first kind. Zbl 0562.65086
Engl, Heinz W.; Neubauer, Andreas
1985
Numerical solution of an inverse problem connected with continuous casting of steel. Zbl 0591.90096
Engl, H. W.; Langthaler, T.
1985
Approximate solutions of nonlinear random operator equations: Convergence in distribution. Zbl 0525.60068
Engl, Heinz W.; Römisch, Werner
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.
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.
1984
Convergence of approximate solutions of nonlinear random operator equations with non-unique solutions. Zbl 0517.60069
Engl, Heinz W.; Roemisch, Werner
1983
On the convergence of regularization methods for ill-posed linear operator equations. Zbl 0514.65039
Engl, H. W.
1983
On weak limits of probability distributions on Polish spaces. Zbl 0512.60008
Engl, Heinz W.; Wakolbinger, Anton
1983
New extremal characterizations of generalized inverse of linear operators. Zbl 0492.47012
Engl, Heinz W.; Nashed, M. Z.
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.
1981
Generalized inverses of random linear operators in Banach spaces. Zbl 0485.47001
Engl, Heinz W.; Nashed, M. Zuhair
1981
Existence and uniqueness of solutions for nonlinear alternative problems in a Banach space. Zbl 0499.34040
Cesari, Lamberto; Engl, Heinz W.
1981
Stochastic projectional schemes for random linear operator equations of the first and second kinds. Zbl 0446.60048
Engl, Heinz W.; Nashed, M. Z.
1979
Random generalized inverses and approximate solutions of random operator equations. Zbl 0427.60072
Nashed, M. Z.; Engl, H. W.
1979
Existence of measurable optima in stochastic nonlinear programming and control. Zbl 0418.90067
Engl, Heinz W.
1979
Random fixed point theorems for multivalued mappings. Zbl 0355.47035
Engl, Heinz W.
1978
A general stochastic fixed-point theorem for continuous random operators on stochastic domains. Zbl 0398.60063
Engl, Heinz W.
1978
Some random fixed point theorems for strict contractions and nonexpansive mappings. Zbl 0382.60068
Engl, Heinz W.
1978
Random fixed point theorems. Zbl 0462.60065
Engl, Heinz W.
1978
Weak convergence of asymptotically regular sequences for nonexpansive mappings and connections with certain Chebyshef-centers. Zbl 0409.47040
Engl, Heinz W.
1977
Bemerkungen zur Aufwandsminimierung bei Stetigkeitsmethoden sowie Alternativen bei der Behandlung der singulären Situation. Zbl 0402.65039
Wacker, Hj.; Engl, H.; Zarzer, E.
1977
Ausgewählte Aspekte der Kontrolltheorie. Zbl 0388.49003
Engl, H. W.; Wacker, Hj.; Zarzer, E. A.
1976
all top 5

#### Cited by 2,246 Authors

 63 Reichel, Lothar 33 Hofmann, Bernd 28 Neubauer, Andreas 26 Engl, Heinz W. 26 Fu, Chuli 25 Nair, M. Thamban 24 George, Santhosh 24 Scherzer, Otmar 23 Kaltenbacher, Barbara 23 Xiong, Xiangtuan 22 Wei, Ting 18 Donatelli, Marco 18 Pereverzev, Sergei V. 18 Ramlau, Ronny 17 Jin, Qinian 17 Lu, Shuai 17 Mathé, Peter 16 Burger, Martin 16 Han, Bo 16 Kindermann, Stefan 15 Yang, Liu 14 Deng, Zuicha 12 Buccini, Alessandro 12 Jin, Bangti 12 Leitão, Antonio 11 Kokurin, Mikhail Yur’evich 11 Leonov, Aleksandr Sergeevich 11 Lesnic, Daniel 11 Nashed, M. Zuhair 11 Serra-Capizzano, Stefano 11 Sgallari, Fiorella 10 De Cezaro, Adriano 10 Haltmeier, Markus 10 He, Guoqiang 10 Klibanov, Michael V. 10 Smirnova, Alexandra B. 10 Trong, Dang Duc 10 Yang, Fan 9 Hanke-Bourgeois, Martin 9 Johansson, B. Tomas 9 Morigi, Serena 9 Qian, Zhi 9 Rajan, M. P. 9 Tautenhahn, Ulrich 9 Zhang, Ye 9 Zou, Jun 8 Argyros, Ioannis Konstantinos 8 Ascher, Uri M. 8 Blanchard, Gilles 8 Cheng, Xiaoliang 8 Đinh Nho Hào 8 Estatico, Claudio 8 Golubev, Yuriĭ K. 8 Groetsch, Charles W. 8 Hohage, Thorsten 8 Loubes, Jean-Michel 8 Mahale, Pallavi 8 Marin, Liviu 8 Noschese, Silvia 8 Plato, Robert 8 Rosasco, Lorenzo A. 8 Sadok, Hassane 8 Stuart, Andrew M. 8 Yamamoto, Masahiro 8 Yang, Hongqi 7 Anderssen, Robert Scott 7 Bakushinskĭ, Anatoliĭ Borisovich B. 7 Florens, Jean-Pierre 7 Freeden, Willi 7 Hämarik, Uno 7 Hamdi, Adel 7 Hein, Torsten 7 Jbilou, Khalide 7 Kunisch, Karl 7 Li, Xiaoxiao 7 Maass, Peter 7 Meng, Zehong 7 Potthast, Roland W. E. 7 Slodička, Marián 7 Spies, Ruben D. 7 Xu, Hong-Kun 7 Yu, Jianning 7 Zhao, Zhenyu 6 Beilina, Larisa 6 Bissantz, Nicolai 6 Cheng, Hao 6 De Micheli, Enrico 6 Feng, Xiaoli 6 Gerth, Daniel 6 Gong, Rongfang 6 Gulliksson, Mårten E. 6 Hasanoǧlu, Alemdar 6 Hochstenbach, Michiel E. 6 Hofinger, Andreas 6 Hon, Yiu-Chung 6 Huang, Guang-Xin 6 Jia, Zhongxiao 6 Kabanikhin, Sergeĭ Igorevich 6 Kang, Chuangang 6 Liu, Tao ...and 2,146 more Authors
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#### Cited in 293 Serials

 105 Journal of Computational and Applied Mathematics 90 Journal of Inverse and Ill-Posed Problems 69 Applied Mathematics and Computation 54 Inverse Problems 54 Inverse Problems in Science and Engineering 48 Journal of Mathematical Analysis and Applications 45 Numerical Functional Analysis and Optimization 43 Applied Numerical Mathematics 33 Journal of Computational Physics 31 Applicable Analysis 31 Numerische Mathematik 30 Numerical Algorithms 29 Journal of Integral Equations and Applications 28 Computers & Mathematics with Applications 27 Applied Mathematical Modelling 26 Inverse Problems and Imaging 20 Journal of Optimization Theory and Applications 19 Mathematics of Computation 19 Mathematics and Computers in Simulation 17 SIAM Journal on Imaging Sciences 16 Linear Algebra and its Applications 15 SIAM Journal on Scientific Computing 14 Computer Methods in Applied Mechanics and Engineering 14 BIT 14 Computing 14 Journal of Scientific Computing 14 Mathematical Problems in Engineering 13 SIAM Journal on Numerical Analysis 12 Journal of Complexity 12 Applied Mathematics Letters 12 International Journal of Computer Mathematics 12 Advances in Computational Mathematics 11 Journal of Econometrics 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 SIAM Journal on Applied Mathematics 11 Journal of Mathematical Imaging and Vision 11 Journal of Applied Mathematics and Computing 11 Electronic Journal of Statistics 10 Journal of Engineering Mathematics 10 Mathematical and Computer Modelling 10 Computational Optimization and Applications 10 ETNA. Electronic Transactions on Numerical Analysis 10 Nonlinear Analysis. Real World Applications 9 The Annals of Statistics 9 Journal of Approximation Theory 9 Engineering Analysis with Boundary Elements 9 GEM - International Journal on Geomathematics 9 Nonlinear Analysis. Theory, Methods & Applications 8 Stochastic Analysis and Applications 8 Applied and Computational Harmonic Analysis 8 Abstract and Applied Analysis 8 Computational Methods in Applied Mathematics 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 Computer Physics Communications 7 Journal of Mathematical Biology 7 Calcolo 7 Integral Equations and Operator Theory 7 Computational Mathematics and Mathematical Physics 7 Russian Mathematics 6 Mathematical Biosciences 6 Proceedings of the American Mathematical Society 6 Zeitschrift für Analysis und ihre Anwendungen 6 Applied Mathematics and Mechanics. (English Edition) 6 Acta Mathematicae Applicatae Sinica. English Series 6 Journal of Symbolic Computation 6 Mathematical Methods of Statistics 6 Journal of Inequalities and Applications 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 International Journal of Heat and Mass Transfer 5 Mathematical Methods in the Applied Sciences 5 Journal of Differential Equations 5 Journal of Statistical Planning and Inference 5 Journal of Mathematical Sciences (New York) 5 Computational and Applied Mathematics 5 Bernoulli 5 Journal of Shanghai University 5 Communications in Nonlinear Science and Numerical Simulation 5 Computational Geosciences 5 Analysis and Applications (Singapore) 5 Fixed Point Theory and Applications 5 Journal of Theoretical Biology 5 SIAM/ASA Journal on Uncertainty Quantification 4 Chinese Annals of Mathematics. Series B 4 Acta Applicandae Mathematicae 4 Physica D 4 Computational Mechanics 4 Science in China. Series A 4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 4 SIAM Journal on Optimization 4 The Journal of Fourier Analysis and Applications 4 Doklady Mathematics 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Journal of Applied Mathematics 4 Journal of Machine Learning Research (JMLR) 4 Multiscale Modeling & Simulation 3 Bulletin of the Australian Mathematical Society 3 International Journal of Solids and Structures 3 Lithuanian Mathematical Journal 3 Bulletin of Mathematical Biology 3 Annali di Matematica Pura ed Applicata. Serie Quarta ...and 193 more Serials
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#### Cited in 53 Fields

 1,134 Numerical analysis (65-XX) 496 Partial differential equations (35-XX) 433 Operator theory (47-XX) 170 Statistics (62-XX) 152 Calculus of variations and optimal control; optimization (49-XX) 143 Integral equations (45-XX) 118 Biology and other natural sciences (92-XX) 110 Information and communication theory, circuits (94-XX) 90 Probability theory and stochastic processes (60-XX) 82 Operations research, mathematical programming (90-XX) 80 Computer science (68-XX) 65 Optics, electromagnetic theory (78-XX) 58 Mechanics of deformable solids (74-XX) 58 Classical thermodynamics, heat transfer (80-XX) 53 Systems theory; control (93-XX) 51 Fluid mechanics (76-XX) 51 Geophysics (86-XX) 50 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 49 Ordinary differential equations (34-XX) 29 Functional analysis (46-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 24 Integral transforms, operational calculus (44-XX) 22 Statistical mechanics, structure of matter (82-XX) 21 Approximations and expansions (41-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 12 Functions of a complex variable (30-XX) 12 Potential theory (31-XX) 11 Dynamical systems and ergodic theory (37-XX) 8 Real functions (26-XX) 7 General topology (54-XX) 5 Special functions (33-XX) 5 Convex and discrete geometry (52-XX) 4 History and biography (01-XX) 4 Measure and integration (28-XX) 4 Differential geometry (53-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Quantum theory (81-XX) 4 Astronomy and astrophysics (85-XX) 3 Mechanics of particles and systems (70-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Combinatorics (05-XX) 2 Commutative algebra (13-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 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX)

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