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Selected Scientific Papers and Books until 1995

To get an abstract of some of the following papers click on the author(s).

1995

H.W. Engl and W. Rundell (eds.), Inverse Problems in Diffusion Processes, SIAM, Philadelphia, 1995
M. Hanke, F. Hettlich, and O. Scherzer, The Landweber iteration for an inverse scattering problem, in: K.-W. Wang etal (ed.), Proceedings of the 1995 Design Engineering Technical Conferences, Vol. 3, Part C, Vibration Control, Analysis, and Identification, The American Society of Mechanical Engineers, New York, 1995, 909-915
M. Hanke, A. Neubauer, and O. Scherzer, A convergence analysis of the Landweber iteration for nonlinear ill-posed problems, Numerische Mathematik 72 (1995), 21-37
J. Chen, H.W. Engl, G. Landl, and K. Zeman, Optimal strategies for the cooling of steel strips in hot strip mills, Inverse Problems in Engineering 2 (1995), 103-118
A. Neubauer and O. Scherzer, A convergent rate result for a steepest descent method and a minimal error method for the solution of nonlinear ill-posed problems, ZAA 14 (1995), 369-377
O. Scherzer, Convergence criteria of iterative methods based on Landweber iteration for nonlinear problems, Journal of Mathematical Analysis and Applications 194 (1995), 911-933

1994

A. Binder, H.W. Engl, C.W. Groetsch, A. Neubauer, and O. Scherzer, Weakly closed nonlinear operators and parameter identification in parabolic equations by Tikhonov regularization, Applicable Analysis 55(1994), 215-234
H.W. Engl and W. Grever, Using the L-curve for determining optimal regularization parameters, Numerische Mathematik 69 (1994), 25-31
H.W. Engl and 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
H.W. Engl, L. Holzleitner, and K.G. Mahmoud, Optimum structural design using MSC/NASTRAN and sequential quadratic programming, Computers & Structures 52 (1994), 437-447
H.W. Engl and J. McLaughlin (eds.), Inverse Problems and Optimal Design in Industry, Teubner, Stuttgart, 1994
H.W. Engl, W. Rundell, and O. Scherzer, A regularization scheme for an inverse problem in age-structured populations, Journ. Math.Analysis and Appl. 182 (1994), 658-679
H.W. Engl, O. Scherzer, and M. Yamamoto, Uniqueness and stable determination of forcing terms in linear partial differential equations with overspecified boundary data, Inverse Problems 10 (1994), 1253-1276
H.W. Engl and S. Vessella, A stability result for a magnetostatic inverse problem, Results of Mathematics 26 (1994), 20-27
B. Hofmann and O. Scherzer, Factors influencing the ill-posedness of nonlinear problems, Inverse Problems 10 (1994), 1277-1297
A. Neubauer, The iterative solution of a nonlinear inverse problem from industry: Design of reflectors, in: P.J. Laurent, A.Le. Mehaute and L.L. Schumaker (eds.), Curves and Surfaces II, AKPeters, Boston, 1994, 335-342
O. Scherzer, On the numerical determination of optimal textures of aluminium; Textures and Microstructures 22 (1994), 177-186

1993

R.S. Anderssen, H.W. Engl, and O.Scherzer, Parameter identification from boundary measurements in a parabolic equation arising from geophysics, Nonlinear Analysis 20 (1993), 127-156
H.W. Engl, Regularization methods for the stable solution of inverse problems, Surveys on Mathematics for Industry 3 (1993), 71-143
H.W. Engl, B. Hofmann, and 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
H.W. Engl and G. Landl, Convergence rates for maximum entropy regularization, SIAM J.Num.Anal. 30 (1993), 1509-1536
O. Scherzer, H.W. Engl, and K. Kunisch, Optimal a-posteriori parameter choice for Tikhonov regularization for solving nonlinear ill-posed problems, SIAM J.Num.Anal. 30 (1993), 1796-1838

1992

H.W. Engl and V. Isakov, On the identifiability of steel reinforcement bars in concrete from magnetostatic measurements, European Journal of Applied Mathematics 3 (1992), 255-262
A. Neubauer, Tikhonov regularization of nonlinear ill-posed problems in Hilbert scales, Applicable Analysis 46 (1992), 59-72

1991

H.W. Engl and G. Hodina, Uniform convergence of regularization methods for linear ill-posed problems, Journ. of Computat. and Appl. Math. 38 (1991), 87-103
H.W. Engl, H.F. Kauffmann, G. Landl, and 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
H.W. Engl and 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

1985 - 1990

A. Binder, H.W. Engl, and S. Vessella, Some inverse problems for a nonlinear parabolic equation connected with continuous casting of steel: Stability estimates and regularization, Num. Funct. Anal. Opt. 11 (1990), 643-672
H.W. Engl, G. Landl, and H.F. Kauffmann, Distribution of event-times in polymer relaxation: On the numerical inversion of the KWW-Law from fluorescence convolution data, in: H. Blumen, J. Klafter, D. Haarer (eds.): Dynamical Processes in Condensed Molecular Systems, World Scientific, Singapore, 1990
H.W. Engl and 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
H.W. Engl and A. Neubauer, On an inverse problem from magnetostatics, in: W.L. Hogarth and B.J. Noye (eds.), Computational Techniques and Applications: CTAC-89, Hemisphere Publ.Comp., Washington, D.C., 1990, 3-15
A. Neubauer and O. Scherzer, Finite-dimensional approximation of Tikhonov regularized solutions of nonlinear ill-posed problems, Numer.Funct.Anal.Opt. 11 (1990), 85-99
H.W. Engl, K. Kunisch, and A. Neubauer, Convergence rates for Tikhonov regularization of nonlinear ill-posed problems, Inverse Problems 5 (1989), 523-540
H.W. Engl and 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
C.W. Groetsch and A. Neubauer, Regularization of ill-posed problems: Optimal parameter choice in finite dimensions, J.Approx.Theory 56 (1989), 184-200
H.F. Kauffmann, G. Landl, and B. Mollay, Distributed electronic relaxation and nonexponential fluorescence in polymers: Reversibility in donor-excimer pairs - A perturbational theory treatment, J.Chem.Phys. 91 (1989), 3744-3761
A. Neubauer, Tikhonov regularisation for nonlinear ill-posed problems: optimal convergence rates and finite-dimensional approximation, Inverse Problems 5 (1989), 541-557
H.W. Engl and H. Gfrerer, A posteriori parameter choice for general regularization methods for solving linear ill-posed problems, Appl.Num.Math. 4 (1988), 395-417
H.W. Engl and C.W. Groetsch, A higher order approximation technique for restricted linear least-squares problems, Bull. of the Austral.Math.Soc. 37 (1988), 121-130
H.W. Engl and 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
H.W. Engl and 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
H.W. Engl and A. Neubauer, Convergence rates for Tikhonov regularization in finite-dimensional subspaces of Hilbert scales, Proc.of the Amer.Math.Soc. 102 (1988), 587-592
H.W. Engl, H. Wacker, and W. Zulehner (eds.), Case Studies in Industrial Mathematics, Teubner/Kluwer, Stuttgart/Dordrecht, 1988
M. Hanke, A. Neubauer, and R. März, On the regularization of a class of nontransferable differential-algebraic equations, J.Differential Equations 73 (1988), 119-132
J.T. King and A. Neubauer, A variant of finite-dimensional Tikhonov regularization with a-posteriori parameter choice, Computing 40 (1988), 91-109
A. Neubauer, Tikhonov-Regularization of ill-posed linear operator equations on closed convex sets, J.Approx.Theory 53 (1988), 304-320
A. Neubauer, An a-posteriori parameter choice for Tikhonov-Regularization in Hilbert scales leading to optimal convergence rates, SIAM J.Numer.Anal. 25 (1988), 1313-1326
A. Neubauer, When do Sobolev spaces form a Hilbert scale ?, Proc.Amer.Math.Soc. 103 (1988), 557-562
H.W. Engl, Discrepancy principles for Tikhonov regularization of ill-posed problems leading to optimal convergence rates, Jour.Opt.Th.Appl. 52 (1987), 209-215
H.W. Engl, On the choice of the regularization parameter for iterated Tikhonov regularization of ill-posed problems, Jour.of Approx.Theory 49 (1987), 55-63
H.W. Engl and C.W. Groetsch (eds.), Inverse and Ill-Posed Problems, Academic Press, Orlando, 1987
H.W. Engl, T. Langthaler, and 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
H.W. Engl and 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
A. Neubauer, Finite dimensional approximation of constrained Tikhonov-regularized solutions of ill-posed linear operator equations, Math.Comp. 48 (1987), 565-583
H.W. Engl, A successive approximation method for solving equations of the second kind with arbitrary spectral radius, Jour.of Integr.Equ. 8 (1985), 239-247
H.W. Engl and T. Langthaler, Numerical solution of an inverse problem connected with continuous casting of steel, Zeitschr.f.Oper.Res. 29 (1985), B185-B199
H.W. Engl and A. Neubauer, An improved version of Marti's method for solving ill-posed linear integral equations, Math.of Comp. 45 (1985), 405-416
H.W. Engl and W. Römisch , Approximate solutions of nonlinear random operator equations: Convergence in distribution, Pacific Jour.of Math. 120 (1985), 55-77
H.W. Engl and 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

1977 - 1984

H.W. Engl and 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
H.W. Engl, 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
H.W. Engl, 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
H.W. Engl and W. Römisch, Convergence of approximate solutions of nonlinear random operator equations with non-unique solutions, Stoch.Anal.Appl. 1 (1983), 239-298
H.W. Engl and A. Wakolbinger, On weak limits of probability distributions on Polish spaces, Stoch.Anal.Appl. 1 (1983), 197-203
H.W. Engl, 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
H.W. Engl, An analytic representation for selfmaps of a countably infinite set and its cycles, Aequationes Mathematicae 25 (1982), 90-96
H.W. Engl and 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
L. Cesari and H.W. Engl, Existence and uniqueness of solutions for nonlinear alternative problems in a Banach space, Czech.Math.Jour. 31 (1981), 670-678
H.W. Engl, 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
H.W. Engl and 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
H.W. Engl and M.Z. Nashed, New extremal characterizations of generalized inverses of linear operators, Jour.Math.Anal.Appl. 82 (1981), 566-586
H.W. Engl and M.Z. Nashed, Generalized inverses of random linear operators in Banach spaces, Jour.Math.Anal.Appl. 83 (1981), 582-610
H.W. Engl, Existence of measurable optima in stochastic nonlinear programming and control, Appl.Math.Opt. 5 (1979), 271-281
H.W. Engl and 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
H.W. Engl, A general stochastic fixed point theorem for continuous random operators with stochastic domains, J.Math.Anal.Appl. 66 (1978), 220-231
H.W. Engl, Random fixed point theorems for multivalued mappings, Pacific Jour. Math. 76 (1978), 351-360
H.W. Engl, Some random fixed point theorems for strict contractions and nonexpansive mappings, Nonlinear Analysis 2 (1978), 619-626
H.W. Engl, Weak convergence of asymptotically regular sequences for nonexpansive mappings and connections with certain Chebyshef centers, Nonlinear Analysis 1 (1977), 495-501

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