Rector Engl

Publications

Books

  • H.W.Engl, C.W.Groetsch (eds.); Inverse and Ill-Posed Problems, Academic Press, Orlando 1987
  • H.W.Engl, H.Wacker, W.Zulehner (eds.), Case Studies in Industrial Mathematics, Teubner/Kluwer, Stuttgart/Dodrecht 1988
  • H.W.Engl, J.McLaughlin (eds.), Inverse Problems and Optimal Design in Industry, Teubner, Stuttgart 1994
  • H.W.Engl, W.Rundell (eds.), Inverse Problems in Diffusion Processes, SIAM, Philadephia 1995
  • H.W.Engl, Inverse Problems, Aportaciones Matematicas, Textos 8, Soc.Mat.Mexicana, Mexico City 1995
  • H.W.Engl, A.K.Louis, W.Rundell (eds.), Inverse Problems in Geophysical Applications, SIAM, Philadelphia 1997
  • H.W.Engl, A.K.Louis, W.Rundell (eds.), Inverse Problems in Medical Imaging and Nondestructive Testing, Springer, Wien/New York 1997
  • H.W.Engl, M.Hanke, A.Neubauer, Regularization of Inverse Problems, Kluwer, Dordrecht 1996, 2.Auflage 2000
  • H.W.Engl, Integralgleichungen, Springer, Wien/New York 1997
  • D.Colton, H.W.Engl, A.K.Louis, J.McLaughlin, W.F.Rundell (eds.), Surveys on Solution Methods for Inverse Problems, Springer, Wien/New York 2000

 

Publications in Scientific Journals

  • (mit R. Ramlau) Regularization of Inverse Problems, in: B. Engquist (Ed.), Encyclopedia of Applied and Computational Mathematics (2015), 1233-1241
  • (mit H.Wacker, E.Zarzer) Bemerkungen zur Aufwandsminimierung bei Stetigkeitsmethoden sowie Alternativen bei der Behandlung der singulären Situation, ISNM 38, Birkhäuser 1977, 175-193 
  • Schwache Konvergenz asymptotisch regulärer Iterationsverfahren bei Fixpunktgleichungen nichtexpansiver Funktionen, ZAMM 57 (1977), T272-273
  • (mit H.Wacker, E.Zarzer) Bemerkungen zur Aufwandsminimierung bei Stetigkeitsmethoden sowie Alternativen bei der Behandlung der singulären Situation, ISNM 38, Birkhäuser 1977, 175-193
  • On a problem of Sieklucki concerning shift-invariant mappings, Bull.Acad.Pol.Sc.(Ser.Math.Astr.Phys.) 25 (1977), 81-83
  • Weak convergnce of asymptotically regular sequences for nonexpansive mappings and connections with certain Chebyshef centers, Nonlinear Analysis 1 (1977), 495-501
  • Some random fixed point theorems for strict contractions and nonexpansive mappings, Nonlinear Analysis 2 (1978), 619-626
  • Weak convergence of Mann iterations for nonexpansive mappings without convexity assumptions, Boll.Un.Mat.Ital. (5) 14-A (1977), 471-475
  • A general stochastic fixed point theorem for continuous random operators with stochastic domains, J.Math.Anal.Appl. 66 (1978), 220-231
  • Random fixed point theorems, in: V. Lakshmikantham (ed.), Nonlinear Equations in Abstract Spaces, Academic Press 1978, 67-80
  • Random fixed point theorems for multivalued mappings, Pacific Jour. Math. 76 (1978), 351-360
  • (mit M.Z.Nashed) Stochastic projectional schemes for random linear operator equations of the first and second kinds, Numer.Funct.Anal.Opt 1 (1979), 451-473
  • Existence of measurable optima in stochastic nonlinear programming and control, Appl.Math.Opt. 5 (1979), 271-281
  • (mit M.Z.Nashed) Random generalized inverses and approximate solutions of random operator equations, in: A.T.Bharucha-Reid (ed.), Approximate Solution of Random Equations, Elsevier - North Holland 1979, 149-210
  • (mit M.Z.Nashed) Generalized inverses of random linear operators in Banach spaces, Jour.Math.Anal.Appl. 83 (1981), 582-610 
  • (mit L.Lum) An elementary problem in topology, Amer.Math.Monthly 87 (1980), 303 + 88 (1981), 620
  • (mit M.Z.Nashed) New extremal characterizations of generalized inverses of linear operators, Jour.Math.Anal.Appl. 82 (1981), 566-586
  • (mit L.Cesari) Existence and uniqueness of solutions for nonlinear alternative problems in a Banach space, Czech.Math.Jour. 31 (1981), 670-678
  • (mit R.Kreß) On a singular perturbation problem for linear operator equations and the limiting behaviour of the solutions of an electrostatic boundary value problem, Math.Meth.Appl.Sc. 3 (1981), 249-274
  • (mit R.Kreß) Über ein singuläres Störungsproblem bei linearen Operatorgleichungen und das Grenzverhalten von Lösungen eines elektrostatischen Randwert- und Übergangsproblems, ZAMM 61 (1981), T237-238 
  • Stability of solutions to linear operator equations of the first and second kinds under perturbation of the operator with rank change, in: F.Natterer, G.Herman (eds.), Mathematical Aspects of Computerized Tomography, Springer Lecture Notes in Medical Informatics 8 (1981), 13-28
  • Necessary and sufficient conditions for convergence of regularization methods for solving linear operator equations of the first kind, Numer.Funct. Anal.Opt. 3 (1981), 201-222
  • (mit A.Kirsch) On the continuity of the metric projection onto a convex set subject to an additional constraint, Boll.Un.Mat.Ital. (6) 1-A(1982), 81-86
  • Notwendige und hinreichende Bedingungen für die Konvergenz von Regularisierungsverfahren zur Lösung linearer Operatorgleichungen erster Art, ZAMM 62 (1982), T323-325
  • On least-squares collocation for solving linear integral equations of the first kind with noisy right-hand side, Boll.Geodesia Sc.Aff. 41,3 (1982), 291-313 
  • (mit W.Schlöglmann) Mathematischer bzw. mathematisch-naturwissenschaftlicher Vorbereitungslehrgang zur Studienberechtigungsprüfung an der Universität Linz, Zeitschrift für Hochschuldidaktik (Wien), Jg.6 (1982), Heft 2-3, 277-283
  • A successive approximation method for solving equations of the second kind with arbitrary spectral radius, Jour.of Integr.Equ. 8 (1985), 239-247 
  • An analytic representation for selfmaps of a countably infinite set and its cycles, Aequationes Mathematicae 25 (1982), 90-96
  • Behaviour of solutions of nonlinear alternative problems under perturbations of the linear part with rank change, in: C.Vinti (ed.), Nonlinear Analysis and Optimization, Springer Lecture Notes in Mathematics 1107 (1984), 82-101
  • (mit W.Römisch) Convergence of approximate solutions of nonlinear random operator equations with non-unique solutions, Stoch.Anal.Appl. 1(1983), 239-298
  • (mit A.Wakolbinger) On weak limits of probability distributions on Polish spaces, Stoch.Anal.Appl. 1 (1983), 197-203
  • Regularization by least-squares collocation, in: P.Deuflhard, E.Hairer (eds.), Numerical Treatment of Inverse Problems in Differential and Integral Equations, Birkhäuser (Boston 1983), 345-354
  • On the convergence of regularization methods for ill-posed linear operator equations, in: G.Hämmerlin, K.H.Hoffmann (eds.), Improperly Posed Problems and Their Numerical Treatment, ISNM 63, Birkhäuser (Basel 1983), 81-95
  • (mit E.Lindner) Ein Randwert- und Übergangsproblem für eine partielle Differentialgleichung im Zusammenhang mit der Berechnung von Wirbelströmen, ZAMM 64 (1984), T360-362 
  • (mit W.Römisch) Approximate solutions of nonlinear random operator equations: Convergence in distribution, Pacific Jour.of Math. 120 (1985), 55-77 
  • (mit E.Lindner) A combined boundary value and transmission problem arising from the calculation of eddy currents: Well-posedness and numerical treatment, Jour.Appl.Math.Physics (ZAMP) 35 (1984), 289-307
  • Discrepancy principles for Tikhonov regularization of ill-posed problems leading to optimal convergence rates, Jour.Opt.Th.Appl. 52 (1987), 209-215
  • Zur optimalen Parameterwahl bei der Tychonoff-Regularisierung inkorrekt gestellter Probleme, ZAMM 65 (1985), T375-376
  • (mit A.Neubauer) Optimal discrepancy principles for the Tikhonov regularization of integral equations of the first kind, in: G.Hämmerlin, K.H.Hoffmann(eds.), Constructive Methods for the Practical Treatment of Integral Equations, ISNM 73, Birkhäuser (Basel 1985), 120-141
  • (mit A.Neubauer) An improved version of Marti's method for solving ill-posed linear integral equations, Math.of Comp. 45 (1985), 405-416 
  • On the choice of the regularization parameter for iterated Tikhonov regularization of ill-posed problems, Jour.of Approx.Theory 49 (1987), 55-63
  • (mit A.Wakolbinger) Continuity properties of the extension of a locally Lipschitz continuous map to the space of probability measures, Monatshefte f. Math. 100 (1985), 85-103
  • (mit W.Römisch) Weak convergence of approximate solutions of stochastic equations with applications to random differential and integral equations, Num.Funct.Anal.Opt. 9 (1987), 61-104
  • (mit T.Langthaler) Numerical solution of an inverse problem connected with continuous casting of steel, Zeitschr.f.Oper.Res. 29 (1985), B185-B199
  • (mit A.Neubauer) Eine Variante der Marti-Methode zur Lösung inkorrekt gestellter linearer Integralgleichungen, die optimale Konvergenzraten liefert, ZAMM 66 (1986), T406-408
  • Methods for approximating solutions of ill-posed linear operator equations based on numerical functional analysis, in: C.Micchelli, D.Pai, B.Limaye (eds.), Methods of Functional Analysis in Approximation Theory, ISNM 76, Birkhäuser 1986, 337-355
  • (mit A.Neubauer) On projection methods for solving linear ill-posed problems, in: A.Vogel (ed.), Model Optimization in Exploration Geophysics, Vieweg 1987, 73-92
  • (mit T.Langthaler, P.Manselli) On an inverse problem for a nonlinear heat equation connected with continuous casting of steel, in: K.H.Hoffmann, W.Krabs (eds.), Optimal Control with Partial Differential Equations II, ISNM 78, Birkhäuser 1987, 67-89
  • (mit A.Neubauer) Optimal parameter choice for ordinary and iterated Tikhonov regularization, in Buch 1(s.u.), 97-125
  • (mit A.Neubauer) Convergence rates for Tikhonov regularization in finite-dimensional subspaces of Hilbert scales, Proc.of the Amer.Math.Soc. 102 (1988), 587-592
  • (mit H.Gfrerer) A posteriori parameter choice for general regularization methods for solving linear ill-posed problems, Appl.Num.Math. 4 (1988), 395-417 
  • (mit C.W.Groetsch) Projection-regularization methods for linear operator equations of the first kind, in:R.S.Anderssen,G.N.Newsam(eds.), Special Program on Inverse Problems, Proc.of the Centre of Math.Anal.17 (1988), Austral.Nat.University, 17-31
  • (mit A.Neubauer) A parameter choice strategy for (iterated) Tikhonov regularization of ill-posed problems leading to superconvergence with optimal rates, Applic.Anal. 27 (1988), 5-18
  • (mit C.W.Groetsch) A higher order approximation technique for restricted linear least-squares problems, Bull. of the Austral.Math.Soc. 37 (1988), 121-130
  • (mit E.Lindner) Computing eddy current losses in reactor coils, in Buch 2(s.u.), 1-19
  • (mit T.Langthaler) Control of the solidification front by secondary cooling in continuous casting of steel, in Buch 2(s.u.), 51-77
  • (mit G.Landl) A scheduling problem in the production line "steel making - continuous casting - hot rolling", in: H.Neunzert (ed.), Proc. of the 2nd Europ.Symp.on Math. in Industry, Teubner/Kluwer, Stuttgart/Dordrecht 1988, 301-317
  • (mit P.Manselli) Stability estimates and regularization for an inverse heat conduction problem in semi-infinite and finite time intervals, Numer.Funct.Anal. and Opt. 10 (1989), 517-540
  • (mit K.Kunisch, A.Neubauer) Convergence rates for Tikhonov regularization of nonlinear ill-posed problems, Inverse Problems 5 (1989), 523-540
  • Regularization of ill-posed problems: Convergence rates, in: F.Kuhnert, B.Silbermann (eds.), Problems and Methods in Mathematical Physics (9.TMP), Teubner, Leipzig 1989, 42-51
  • (mit T.Langthaler) Making a workpiece with spiral turns by means of forming cutters, in: J.Manley, S.McKee, D.Owens(eds.), Proc. of the 3rd Europ.Symp. on Math. in Industry, Teubner/Kluwer (Stuttgart/Dordrecht 1990), 313-332
  • Wechselwirkungen zwischen Industrie- und Universitätsmathematik, in: J.Maaß, W.Schlöglmann (eds.), Mathematik als Technologie?, Deutscher Studienverlag, Weinheim 1989, 17-35
  • (mit H.Holl, T.Langthaler, K.Schwaha) Inverse solidification analysis - a valuable tool for computer aided process engineering, in: H.Y.Sohn, E.S.Geskin (eds.), Metallurgical Processes for the Year 2000 and Beyond, TMS, 1989, 139-154
  • (mit M.Hanke, A.Neubauer) Tikhonov regularization of nonlinear differential-algebraic equations, in: P.C.Sabatier (ed.), Inverse Methods in Action, Springer (Berlin 1990), 92-105
  • (mit H.F.Kauffmann, G.Landl, T.Langthaler) Distribution of event times in time-resolved fluorescence: The exponential series approach - algorithm, regularization, analysis, Journ. of Computat. Physics 95(1991), 1-28 
  • (mit A.Neubauer) On an inverse problem from magnetostatics, in: W.L.Hogarth, B.J.Noye (eds.), Computational Techniques and Applications: CTAC-89, Hemisphere Publ. Comp., New York 1990, 3-15
  • Inverse und inkorrekt gestellte Probleme, in: S.D.Chatterji, U.Kulisch, D.Laugwitz, R.Liedl, W.Purkert (eds.), Jahrbuch Überblicke Mathematik 1991, Vieweg, Wiesbaden 1991, 77-92
  • (mit A.Binder, R.Scheidl) Numerische Behandlung des Ausbauchens der Strangschale von Gießsträngen, ZAMM 71(1991), T680-T681
  • (mit G.Hodina) Uniform convergence of regularization methods for linear ill-posed problems, Journ. of Computat. and Appl. Math. 38(1991), 87-103
  • (mit H.F.Kauffmann, G.Landl) Multi-particle relaxation in electronically excited polymers: Distribution of transition rates from fluorescence data - a numerical approach, in: W.Gans, A.Blumen, A.Amann (eds.), Large Scale Molecular Systems - Quantum and Stochastic Aspects: Beyond the Simple Molecular Picture, Nato ASI Series, Plenum, New York 1991, 503-510 
  • (mit H.F.Kauffmann, G.Landl) Distribution of event-times in polymer relaxation: On the numerical inversion of the KWW-law from fluorescence convolution data, in: A.Blumen, J.Klafter, D.Haarer (eds.), Dynamical Processes in Condensed Molecular Systems, World Scientific, Singapore 1990, 90-101
  • (mit A.Neubauer) Reflector design as an inverse problem, in: M.Heiliö (ed.), Proc. of the Fifth European Conference on Mathematics in Industry, Teubner/Kluwer, Stuttgart/Dordrecht 1991, 13-24
  • (mit H.F.Kauffmann, G.Landl) Nonexponential polymer relaxation: Distributions of event-times from fluorescence data, in: J.Drake, J.Klafter, R.Kopelman (eds.), Dynamics in Small Confining Systems, Materials Research Society, EA-22, Pittsburgh 1990, 105-108
  • (mit A.Binder, S.Vessella) Some inverse problems for a nonlinear parabolic equation connected with continuous casting of steel: Stability estimates and regularization, Numerical Funct. Analysis and Optim. 11(1990), 643 - 671 
  • (mit R.S.Anderssen) The role of linear functionals in improving convergence rates for parameter identification via Tikhonov regularization, in: M.Yamaguti, K.Hayakawa, Y.Iso, M.Mori, T.Nishida, K.Tomoeda, M.Yamamoto (eds.), Inverse Problems in Engineering Sciences, ICM-90 Satellite Conf. Proc., Springer, Tokyo 1991, pp.1-10 
  • (mit R.S.Anderssen, O.Scherzer) Parameter identification from boundary measurements in a parabolic equation arising from geophysics, Nonlinear Analysis 20(1993), 127-156 
  • (mit V.Isakov) On the identifiability of steel reinforcement bars in concrete from magnetostatic measurements, European Journal of Applied Mathematics 3(1992), 255 - 262 
  • (mit A.Binder, C.W.Groetsch, A.Neubauer, O.Scherzer) Weakly closed nonlinear operators and parameter identification in parabolic equations by Tikhonov regularization, Applicable Analysis 55(1994), 215-234 
  • (mit B.Hofmann, H.Zeisel) A decreasing rearrangement approach for a class of ill-posed non-linear integral equations, Journ. of Integral Equations and Appl. 5(1993), 443-463
  • (mit G.Landl) Convergence rates for maximum entropy regularization, SIAM Journal on Numerical Analysis 30(1993), 1509- 1536
  • (mit K.Kunisch, O.Scherzer) Optimal a-posteriori parameter choice for Tikhonov regularization for solving nonlinear ill-posed problems, SIAM Journal on Numerical Analysis 30(1993), 1796- 1838
  • (mit G.Landl) Maximum entropy regularization of nonlinear ill-posed problems, in: V.Lakshmikantham (ed.), Proceedings of the First World Congress of Nonlinear Analysts, Vol.I, de Gruyter, Berlin 1996, pp. 513- 525
  • (mit W.Rundell, O.Scherzer) A regularization scheme for an inverse problem in age-structured populations, Journ. Math. Analysis and Appl. 182(1994), 658- 679
  • Regularization methods for the stable solution of inverse problems, Surveys on Mathematics for Industry 3(1993), 71-143
  • (mit A.Neubauer) Convergence rates for Tikhonov regularization of implicitly defined nonlinear inverse problems with an application to inverse scattering, in: S.Kubo (ed.), Inverse Problems, Atlanta Technology Publications, Atlanta 1993, 90-98 
  • (mit M.Hanke) An optimal stopping rule for the nu-methods for solving ill-posed problems using Christoffel functions, Journ. of Approx. Theory 79(1994), 89-108
  • (mit S.Vessella) A stability results for a magnetostatic inverse problem, Results of Mathematics 26(1994), 20- 27 
  • (mit L.Holzleitner, K.Mahmoud) Optimum structural design using MSC/NASTRAN and sequential quadratic programming, Computers and Structures 52(1994), 437- 447 
  • (mit W.Grever) Using the L-curve for determining optimal regularization parameters, Numerische Mathematik 69(1994), 25-31
  • (mit W.Kühlein, O.Scherzer) Verbesserung der Tiefziehfähigkeit von Aluminium, in: Zukunftsorientierte Werkstoffentwicklung, Christian- Doppler- Gesellschaft, Wien (Austria) 1994
  • (mit A.Binder, W.Grever, K.Mörwald) Optimal cooling strategies in continuous casting of steel with variable casting speed, Inverse Problems in Engineering 2 (1996), 289-300 
  • (mit J.Chen, G.Landl, K.Zeman) Optimal strategies for the cooling of steel strips in hot strip mills, Inverse Problems in Engineering 2 (1995), 103- 118
  • (mit O.Scherzer, M.Yamamoto) Uniqueness of forcing terms in linear partial differential equations with overspecified boundary data, Inverse Problems 10(1994), 1253-1276
  • (mit B.Blaschke, W.Grever, M.Klibanov) An application of Tikhonov regularization to phase retrieval, Nonlinear World 3 (1996), 771- 786 
  • (mit G.Landl) Inverse Wärmeleitungsprobleme in der Stahlindustrie, Berg- und Hüttenmännische Monatshefte 141,4 (1996), 208- 213 
  • (mit B.Blaschke), Regularization methods for nonlinear ill-posed problems with applications to phase reconstruction, in: H.W.Engl, A.K.Louis, W.Rundell (eds.), Inverse Problems in Medical Imaging and Nondestructive Testing, Springer, Wien/New York 1997, 17-35 
  • (mit H.Zeisel, F.Kokert, H.Druckenthaner, A.Schatz), Mathematisches Modell und numerische Simulation der Vorgänge im Hochofen, Berg- und Hüttenmännische Monatshefte 141,9 (1996), 389- 392
  • (mit C.Stangl) Existence and uniqueness of solutions of the equilibrium equations for a class of nonlinearly elastic materials, ZAMM 78(1998), 467-481
  • (mit A.Nanda) Tikhonov regularization for an inverse source problem for a coupled system of reaction-diffusion equations, Journ. of Inverse and Ill-Posed Problems 6 (1998), 583-604
  • (mit H.Druckenthaner, H.Zeisel, A.Schiefermüller, G.Kolb, A.Ferstl, A.Schatz), Online simulation of the blast furnace, Advanced Steel (1997-98), 58-61
  • (mit P.Deuflhard und O.Scherzer) A convergence analysis of iterative methods for the solution of nonlinear ill-posed problems under affinely invariant conditions, Inverse Problems 14(1998), 1081-1106 
  • (mit M.Burger und V.Capasso), Inverse problems related to the crystallization of polymers, Inverse Problems 15(1999), 155-173 
  • (mit A.Seidel), Recovering discrete and continuous parts of the solution of linear ill-posed problems by Tikhonov regularization, Journ. of Inverse and Ill-Posed Problems 7(1999), 165-183
  • (mit J.Zou), A new approach to convergence rate analysis of Tikhonov regularization for parameter identification in heat conduction, Inverse Problems 16 (2000), 1907-1923
  • (mit M.Burger, V.Capasso, G.Eder) Modelling and parameter-identification in non-isothermal crystallization of polymers, in: L.Arkeryd, J.Bergh, P.Brenner, R.Pettersson (eds.), Progress in Industrial Mathematics at ECMI 98, Teubner, Stuttgart 1999, 114-121
  • (mit O.Scherzer) Convergence rates results for iterative methods for solving nonlinear ill-posed problems, in: D.Colton, H.W.Engl, A.K.Louis, J.McLaughlin, W.F.Rundell (eds.), Surveys on Solution Methods for Inverse Problems, Springer, Wien/New York 2000, 7-34 
  • (mit M.Burger), Training neural networks with noisy data as an ill-posed problem, Advances in Computational Mathematics 13 (2000), 335-354 
  • (mit C.Carthel), Identification of heat transfer functions in continuous casting of steel by regularization, Journ. of Inverse and Ill-Posed Problems 8 (2000), 677-693
  • Regularization methods for solving inverse problems, in: J.M.Ball and J.C.R. Hunt (eds.), ICIAM99: Proceedings of the Fourth International Congress on Industrial and Applied Mathematics, Oxford University Press, 2000, 42-67 
  • Inverse problems and their regularization, in: V. Capasso, H. Engl, J. Periaux (eds.), Lecture Notes in Mathematics, CIME Subseries, Springer-Verlag, 2000, 127-150
  • (mit T.Felici), On shape optimization of optical waveguides using inverse problem techniques, Inverse Problems 17 (2001), 1141-1162 
  • (mit P.Kügler) Identification of a temperature dependent heat conduction by Tikhonov regularization, Journ. of Inverse and Ill-Posed Problems 10 (2002), 67-90
  • (mit M. Burger, P. Markowich, P. Pietra), Identification of doping profiles in semiconductor devices, Inverse Problems 17 (2001), 1765-1795 
  • (mit M.Burger, P.Markowich), Inverse doping problems for semiconductor devices, in: Chan, Huang, Tang, Xu, Ying (eds.), Recent Progress in Computational and Applied PDEs, Kluwer Academic Publishers, 2001, 39-54
  • (mit A.Leitao) A Mann iterative regularization method for elliptic Cauchy problems, Numer. Funct. Anal. Optim. 22 (2001), 861-884
  • (mit P. Kügler) The influence of the equation type on iterative parameter identification problems which are elliptic or hyperbolic in the parameter, Europ. Journ. of Appl. Math. 14 (2003), 129-163 
  • Identification of parameters in polymer crystallization, semiconductor models and elasticity via iterative regularization methods, in: V.G. Romanov, S.I. Kabanikhin, Yu.E. Anikonov and A.L. Bukhgeim (eds.), Ill-Posed and Inverse Problems, VSP Niederlande, 2004, 99-126
  • (mit M. Burger, J. Haslinger, U. Bodenhofer), Regularized data-driven construction of Fuzzy controllers, Journ. of Inverse and Ill-Posed Problems 10 (2002), 319-344 
  • (mit M. Rosenkranz, B. Buchberger), Solving linear boundary value problems via non-commutative Gröbner bases, Applicable Analysis 82 (2003), 655-675 
  • (mit P. Kügler), Parameter Identification in Industrial Problems via Iterative Regularization Methods, in: A. Fitt (eds.), ECMI 2002, Springer 2003, 13-29 
  • (mit P. Kügler), Nonlinear Inverse Problems: Theoretical Aspects and Some Industrial Applications, in: V. Capasso and J. Periaux (eds.), Multidisciplinary Methods for Analysis, Optimization and Control of Complex Systems, Springer Heidelberg, Series Mathematics in Industry, 2005, 3-48 
  • (mit M.Burger, A.Leitao, P.Markowich), On inverse problems for semiconductor equations, Milan Journal of Mathematics 72 (2004), 273-314
  • (mit H. Egger, M. Klibanov), Global uniqueness and Hölder stability for recovering a nonlinear source term in a parabolic equation, Inverse Problems 21 (2005), 271-290 
  • (mit A. Hofinger, S. Kindermann), Convergence rates in the Prokhorov metric for assessing uncertainty in ill-posed problems, Inverse Problems 21 (2005), 399-412 
  • (mit H. Egger), Tikhonov regularization applied to the inverse problem of option pricing: convergence analysis and rates, Inverse Problems 21 (2005), 1027-1045 
  • (mit P. Fusek, S. Pereverzev) Natural linearization for the identification of nonlinear heat transfer laws, Journal of Inv. and Ill-Posed Problems 13 (2005), 567-582
  • (mit J. Lu, P. Schuster) Inverse bifurcation analysis: application to simple gene systems, Algorithms for Molecular Biology, Vol. 1:11 (2006) 
  • (mit G. Gökler, A. Schatz, H. Zeisel) Modelling and numerics for the transient simulation of the blast furnace process, in: R. Jeltsch, Ta-Tsien Li, Ian H. Sloan eds., Some Topics in Industrial and Applied Mathematics, Proceedings of Shanghai Forum on Industrial and Applied Mathematics 2006, 95-119
  • (mit. M. Burger, R. Eisenberg) Inverse problems related to ion channel selectivity, SIAM Journal on Applied Mathematics 67 (2007), 960-989 
  • (mit J. Lu, R. Machné, P. Schuster) Inverse bifurcation analysis of a model for the mammalian G1/S regulatory module, in: S. Hochreiter, R. Wagner (eds.) Proceedings of Bioinformatics in Research and Development, Lecture Notes in Bioinformatics (LNBI 4414), Springer, BIRD 2007, 168-184 
  • (mit S. Kindermann, P. Mayer, H. Albrecher) Identification of the local speed function in a Levy model for option pricing, Journal of Integral Equations and Applications 20 (2008), 161-200 
  • (mit E. Resmerita, A. N. Iusem) The EM algorithm for ill-posed integral equations: a convergence analaysis, Inverse Problems 23 (2007), 2575-2588 
  • Calibration problems – an inverse problem view, Wilmott magazine (2007), 16-20 
  • (mit V. Capasso, S. Kindermann) Parameter Identification in a random environment exemplified by a multiscale model for crystal growth, SIAM Multiscale Modelling and Simulation 7 (2008), 814-841
  • (mit C.B. Drab, J.R. Haslinger, G. Offner, R.U. Pfau, W. Zulehner) Dynamic Simulation of Crankshaft Multibody Systems, Multibody System Dynamics 22 (2009), 133-144
  • (mit C. Flamm, P. Kügler, J. Lu, S. Müller, P. Schuster) Inverse Problems in Systems Biology, Inverse Problems 25 (2009), 1-51

 

Co-inventor of the following patents:

  • Verfahren zur Optimierung von Auslegung und Betrieb eines Reduktionsverfahrens, Österreich, patent number AT 407 993 B
    Australien, patent number 763962
    Taiwan, patent number A400311.TW 165784 89103102
    Südafrika, patent number 2001/6635
    USA, patent number US 6,669,754 B1
  • Mathematical Design of Ion Channel Selectivity, USA, patent number US 8335 671