Publications of the Project F1308
Article
September 27, 2008
Article
September 27, 2008
Bibliography
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Iterative methods for ill-posed problems modeled by PDE's.
Journal of Inverse and Ill-Posed Problems, 9(1):1-17, 2001. - 2
- H. Benameur, M. Burger, and B. Hackl.
Level set methods for geometric inverse problems in linear elasticity.
Inverse Problems, 20(3):673-696, 2004. - 3
- H. Benameur, M. Burger, and B. Hackl.
Cavity identification in linear elasticity and thermoelasticity.
Mathematical Methods in the Applied Sciences, 30(6):625-647, 2007. - 4
- H. Benameur and B. Kaltenbacher.
Regularization of parameter estimation by adaptive discretization using refinement and coarsening indicators.
Journal of Inverse and Ill-Posed Problems, 10(6):561-583, 2002. - 5
- N. Bila.
Application of symmetry analysis to a pde arising in the car windshield design.
SIAM Journal on Applied Mathematics, 65:113-130, 2004. - 6
- N. Bila and J. Niesen.
On a new procedure for finding nonclassical symmetries.
Journal of Symbolic Computation, 38:1523-1533, 2004. - 7
- M. Burger.
Iterative regularization of a parameter identification problem occurring in polymer crystallization.
SIAM J. Numer. Anal., 39(3):1029-1055, 2001. - 8
- M. Burger.
A level set method for inverse problems.
Inverse Problems, 17:1327-1356, 2001. - 9
- M. Burger.
A framework for the construction of level set methods for shape optimization and reconstruction.
Interfaces and Free Boundaries, 5:301-329, 2003. - 10
- M. Burger.
Growth of multiple crystals in polymer melts.
European J. Appl. Math., 15:347-363, 2004. - 11
- M. Burger.
Levenberg-Marquardt level set methods for inverse obstacle problems.
Inverse Problems, 20:259-282, 2004. - 12
- M. Burger.
Surface diffusion including free adatoms.
Comm. Math. Sci., 4:1-51, 2006. - 13
- M. Burger and V. Capasso.
Mathematical modelling and simulation of non-isothermal crystallization of polymers.
Mathematical Models and Methods in Applied Sciences, 11:1029-1054, 2001. - 14
- M. Burger, V. Capasso, and G. Eder.
Modelling crystallization of polymers in temperature fields.
Z. Angew. Math. Mech., 82:51-63, 2002. - 15
- M. Burger, V. Capasso, and H. W. Engl.
Inverse problems related to crystallization of polymers.
Inverse Problems, 15:155-173, 1999. - 16
- M. Burger, V. Capasso, and
A. Micheletti.
Optimal control of polymer morphologies.
J. Eng. Math., 49:339-358, 2004. - 17
- M. Burger, V. Capasso, and
L. Pizzocchero.
Mesoscale averaging of nucleation and growth models.
Multiscale Model. Simul., 5(2):564-592, 2006. - 18
- M. Burger, V. Capasso, and S. Salani.
Modelling multi-dimensional crystallization of polymers in interaction with heat transfer.
Nonlinear Analysis, Series B, Real World Applications, 3:139-160, 2002. - 19
- M. Burger and H. W. Engl.
Training neural networks with noisy data as an ill-posed problem.
Advances in Computational Mathematics, 13:335-354, 2000. - 20
- M. Burger, H. W. Engl, J. Haslinger,
and U. Bodenhofer.
Regularized data-driven construction of fuzzy controllers.
J. Inverse and Ill-posed Problems, 10:319-344, 2002. - 21
- M. Burger, H. W. Engl, A. Leitao, and
P. Markowich.
On inverse problems for semiconductor equations.
Milan J. Math., 72:273-314, 2004. - 22
- M. Burger, H. W. Engl, P. A.
Markowich, and P. Pietra.
Identification of doping profiles in semiconductor devices.
Inverse Problems, 17:1765-1795, 2001. - 23
- M. Burger, K. Frick, S. Osher, and
O. Scherzer.
Inverse total variation flow.
Multiscale Model. Simul., 6(2):366-395, 2007. - 24
- M. Burger, G. Gilboa, S. Osher, and
J. Xu.
Nonlinear inverse scale space methods.
Commun. Math. Sci, 4(1):179-212, 2006. - 25
- M. Burger, B. Hackl, and W. Ring.
Incorporating topological derivatives into level set methods.
J. Comp. Phys., 194(1):344-362, 2004. - 26
- M. Burger, F. Hausser,
C. Stöcker, and A. Voigt.
A level set approach to anisotropic flows with curvature regularization.
J. Comp. Phys, 2007.
to appear. - 27
- M. Burger and M. Hintermueller.
Projected gradient flows for bv / level set relaxation.
PAMM, 5:11-14, 2005. - 28
- M. Burger and A. Hofinger.
Regularized greedy algorithms for network training with data noise.
Computing, 74(1):1-22, 2005. - 29
- M. Burger and B. Kaltenbacher.
Regularizing Newton-Kaczmarz methods for nonlinear ill-posed problems.
SIAM J. Numer. Anal., 44:153-182., 2006. - 30
- M. Burger and W. Mühlhuber.
Iterative regularization of parameter identification problems by SQP-methods.
Inverse Problems, 18:943-970, 2002. - 31
- M. Burger and W. Mühlhuber.
Numerical approximation of an SQP-type method for parameter identification.
SIAM J. Numer. Anal., 40(5):1775-1797, 2002. - 32
- M. Burger and A. Neubauer.
Error bounds for approximation with neural networks.
Journal of Approximation Theory, 112:235-250, 2001. - 33
- M. Burger and A. Neubauer.
Analysis of Tikhonov regularization for function approximation by neural networks.
Neural Networks, 16:79-90, 2003. - 34
- M. Burger and S. Osher.
Convergence rates of convex variational regularization.
Inverse problems, 20:1411-1421, 2004. - 35
- M. Burger and S. Osher.
A survey on level set methods for inverse problems and optimal design.
European J. Appl. Math., 16(2):263-301, 2005. - 36
- M. Burger, S. Osher, and
E. Yablonovitch.
Inverse problem techniques for the design of photonic crystals.
IEICE Transactions E, 87, 2004. - 37
- M. Burger and R. Pinnau.
Fast optimal design of semiconductor devices.
SIAM J. Appl. Math., 64:108-126, 2004. - 38
- M. Burger and O. Scherzer.
Regularization methods for blind deconvolution and blind source separation problems.
Mathematics of Control, Signals and Systems, 14:358-383, 2001. - 39
- R. Chapko and P. Kügler.
A comparison of the Landweber method and the Gauss-Newton method for an inverse parabolic boundary value problem.
J. Comput. Appl. Math., 169:183-196, 2004. - 40
- P. Deuflhard, H. W. Engl, and
O. Scherzer.
A convergence analysis of iterative methods for the solution of nonlinear ill-posed problems under affinely invariant conditions.
Inverse Problems, 14(5):1081-1106, 1998. - 41
- H. Egger.
Semiiterative regularization in Hilbert scales.
SIAM J. Numer. Anal., 44:66-81, 2006. - 42
- H. Egger.
Fast fully iterative Newton-type methods for inverse problems.
J. Inv. Ill-posed Probl., 15:257-275, 2007. - 43
- H. Egger.
Preconditioning CGNE iteration for inverse problems.
Num. Lin. Alg. Appl., 14(3):183-196, 2007. - 44
- H. Egger.
Y-scale regularization.
SINUM, 2007.
accepted. - 45
- H. Egger and H. W. Engl.
Tikhonov regularization applied to the inverse problem of option pricing: Convergence analysis and rates.
Inverse Problems, 21:1027-1045, 2005. - 46
- H. Egger, H. W. Engl, and M. V.
Klibanov.
Global uniqueness and Hölder stability for recovering a nonlinear source term in a parabolic equation.
Inverse Problems, 21:271-290, 2005. - 47
- H. Egger, T. Hein, and B. Hofmann.
On decoupling of volatility smile and term structure in inverse option pricing.
Inverse Problems, 22:1247-1259, 2006. - 48
- H. Egger and A. Neubauer.
Preconditioning Landweber iteration in Hilbert scales.
Numerische Mathematik, 101:643-662, 2005. - 49
- H. Engl, P. Fusek, and S. Pereverzev.
Natural linearization for the identification of nonlinear heat transfer laws.
Journal of Inv. and Ill-Posed Problems, 13:567-582, 2005. - 50
- H. Engl and A. Leitao.
A Mann iterative method for elliptic Cauchy problems.
Numer. Funct. Anal. and Optimiz., 22(7-8):861-884, 2001. - 51
- H. W. Engl.
Calibration problems - an inverse problem view.
Wilmott magazine, pages 16-20, 2007. - 52
- H. W. Engl, M. Burger, and
R. Eisenberg.
Inverse problems related to ion channel selectivity.
SIAM Journal on Applied Mathematics, 67:960-989, 2007. - 53
- H. W. Engl and T. Felici.
On shape optimization of optical waveguides using inverse problems techniques.
Inverse Problems, 17:1141-1162, 2001. - 54
- H. W. Engl, A. Hofinger, and
S. Kindermann.
Convergence rates in the Prokhorov metric for assessing uncertainty in ill-posed problems.
Inverse Problems, 21:399-412, 2005. - 55
- H. W. Engl and P. Kügler.
Identification of a temperature dependent heat conductivity by Tikhonov regularization.
J. of Inverse and Ill-Posed Problems, 10:67-90, 2002. - 56
- H. W. Engl and P. Kügler.
The influence of the equation type on iterative parameter identification problems which are elliptic or hyperbolic in the parameter.
European Journal on Applied Mathematics, 14:13-38, 2003. - 57
- H. W. Engl, J. Lu, and P. Schuster.
Inverse bifurcation analysis: application to simple gene systems.
Algorithms for Molecular Biology, 1:11, 2006. - 58
- H. W. Engl, E. Resmerita, and A. N.
Iusem.
The EM algorithm for ill-posed integral equations: a convergence analysis.
Inverse Problems, 23:2575-2588, 2007. - 59
- H. W. Engl and J. Zou.
A new approach to convergence rate analysis of Tikhonov regularization for parameter identification in heat conduction.
Inverse Problems, 16(6):1907-1923, 2000. - 60
- B. Hackl.
Methods for reliable topology changes for perimeter regularized geometric inverse problems.
SIAM J. Num. Anal., 45:2201-2227, 2007. - 61
- L. He, S. Osher, and M. Burger.
Iterative total variation regularization with non-quadratic fidelity.
J. Math. Imag. Vision, 26:167-184, 2005. - 62
- A. Hofinger.
Nonlinear function approximation: Computing smooth solutions with an adaptive greedy algorithm.
Journal of Approximation Theory, 43(2):159-175, 2006. - 63
- A. Hofinger and H. K. Pikkarainen.
Convergence rates for the bayesian approach to linear inverse problems.
Inverse Problems, 23:2469-2484, 2007. - 64
- A. Hofinger and J. Valdman.
Numerical solution of the two-yield elastoplastic minimization problem.
Computing, 2007.
(accepted). - 65
- T. Hohage.
Convergence rates of a regularized Newton method in sound-hard inverse scattering.
SIAM J. Numer. Anal., 36:125-142, 1998. - 66
- T. Hohage.
Regularisation of exponentially ill-posed problems.
Numer. Funct. Anal. Optim., 21:439-464, 2000. - 67
- T. Hohage.
On the numerical solution of a three-dimensional inverse medium scattering problem.
Inverse Problems, 17(6):1743-1763, 2001. - 68
- T. Hohage and C. Schormann.
A Newton-type method for a transmission problem in inverse scattering.
Inverse Problems, 14(5):1207-1227, 1998. - 69
- J. M. J. Huttunen and H. K.
Pikkarainen.
Discretization error in dynamical inverse problems: one-dimensional model case.
Journal of Inverse and Ill-posed Problems, 15(4):365-386, 2007. - 70
- B. Kaltenbacher.
On Broyden's method for nonlinear ill-posed problems.
Numer. Funct. Anal. Opt., 19:807-833, 1998. - 71
- B. Kaltenbacher.
A posteriori parameter choice strategies for some Newton type methods for the regularization of nonlinear ill-posed problems.
Numer. Math., 79:501-528, 1998. - 72
- B. Kaltenbacher.
On convergence rates for some iterative regularization methods for an inverse problem for a nonlinear parabolic equation connected with continuous casting of steel.
Journal of Inverse and Ill-Posed Problems, 7:145-164, 1999. - 73
- B. Kaltenbacher.
A projection-regularized Newton method for nonlinear ill-posed problems with application to parameter identification problems with finite element discretization.
SIAM J. Numer. Anal., 37:1885-1908, 2000. - 74
- B. Kaltenbacher.
Regularization by projection with a posteriori discretization level choice for linear and nonlinear ill-posed problems.
Inverse Problems, 16(5):1523-1539, 2000. - 75
- B. Kaltenbacher.
On the regularizing properties of a full multigrid method for ill-posed problems.
Inverse Problems, 17:767-788, 2001. - 76
- B. Kaltenbacher.
V-cycle convergence of some multigrid methods for ill-posed problems.
Math. Comput., 72:1711-1730, 2003. - 77
- B. Kaltenbacher, M. Kaltenbacher, and
S. Reitzinger.
Identification of nonlinear B-H curves based on magnetic field computations and multigrid methods for ill-posed problems.
European Journal of Applied Mathematics, 14(1):13-38, 2003. - 78
- B. Kaltenbacher, A. Neubauer, and
A. Ramm.
Convergence rates of the continuous regularized Gauss-Newton method.
J. Inv. Ill-Posed Problems, 10:261-280, 2002. - 79
- B. Kaltenbacher and J. Schicho.
A multi-grid method with a priori and a posteriori level choice for the regularization of nonlinear ill-posed problems.
Numerische Mathematik, 93(1):77-107, 2002. - 80
- B. Kaltenbacher and J. Schöberl.
A saddle point variational formulation for projection-regularized parameter identification.
Numerische Mathematik, 91(4):675-697, 2002. - 81
- S. Kindermann and A. Leitao.
Regularization by dynamic programing.
J. Inv. Ill-posed Probl., 15:295-310, 2007. - 82
- S. Kindermann, P. Mayer, H.-J. Albrecher,
and H. W. Engl.
Identification of the local speed function in a Levy model for option pricing.
J. Int. Eq. Appl, 2007.
accepted. - 83
- S. Kindermann and R. Ramlau.
Surrogate functionals and thresholding for inverse interface problems.
J. Inv. Ill-posed Probl., 15:387-402, 2007. - 84
- P. Kügler.
A derivative-free Landweber iteration for parameter identification in certain elliptic pdes.
Inv. Probl., 19(6):1407-1426, 2003. - 85
- P. Kügler.
Identification of a temperature dependent heat conductivity from single boundary measurements.
SIAM J. Numer. Anal., 41:1543-1564, 2004. - 86
- P. Kügler.
A parameter identification problem of mixed type related to the manufacture of car windshields.
SIAM J. Appl. Math., 64:858-877, 2004. - 87
- P. Kügler.
Convergence rate analysis of a derivative free landweber iteration for parameter identification in certain elliptic pdes.
Numer. Math., 101(1):165-184, 2005. - 88
- P. Kügler and A. Leitao.
Mean value iterations for nonlinear elliptic Cauchy problems.
Numerische Mathematik, 96:269-293, 2003. - 89
- A. Leitao.
An iterative method for solving elliptic Cauchy problems.
Numerical Functional Analysis and Optimization, 5-6(21):715-742, 2000. - 90
- A. Micheletti and M. Burger.
Stochastic and deterministic simulation of nonisothermal crystallization of polymers.
Journal of Mathematical Chemistry, 30:169-193, 2001. - 91
- S. Osher, M. Burger, D. Goldfarb,
J. Xu, and W. Yin.
An iterative regularization method for total variation based image restoration.
Multiscale Modelling and Simulation, 4:460-489, 2005. - 92
- H. K. Pikkarainen.
State estimation approach to nonstationary inverse problems: discretization error and filtering problem.
Inverse Problems, 22(1):365-379, 2006. - 93
- T. Seidel and H. W. Engl.
Recovering discrete and continuous parts of the solution of linear ill-posed problems by Tikhonov regularization.
J. of Inverse and Ill-Posed Problems, 7:165-183, 1999. - 94
- R. Stainko and M. Burger.
Phase-field relaxation of topology optimization with local stress constraints.
SIAM Journal on Control and Optimization, 45(4):1447-1466, 2006. - 95
- M.-T. Wolfram.
Inverse dopant profiling from transient measurements.
J. Comp. Electr., 2007.
to appear.
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SpezialForschungsBereich SFB F013 | Special Research Program of the FWF - Austrian Science Fund
SpezialForschungsBereich SFB F013 | Special Research Program of the FWF - Austrian Science Fund