Publications

    Papers in Refereed Journals

  1. M.Burger, V.Capasso, and H.W.Engl, Inverse problems related to crystallization of polymers, Inverse Problems 15 (1999), 155-173 
  2. M.Burger and H.W.Engl, Training neural networks with noisy data as an ill-posed problem, Adv. Comp. Math. 13 (2000), 335-354. 
  3. M.Burger and V.Capasso, Mathematical modelling and simulation of non-isothermal crystallization of polymers, Math. Models and Methods in Appl. Sciences 11 (2001), 1029-1054.
  4. M.Burger, Iterative regularization of a parameter identification problem occurring in polymer crystallization, SIAM J. Numer. Anal. 39 (2001), 1029-1055. 
  5. M.Burger and O.Scherzer, Regularization methods for blind deconvolution and blind source separation problems, Mathematics of Control, Signals and Systems 14 (2001), 358-383. 
  6. M.Burger and A.Neubauer, Error bounds for approximation with neural networks, Journal of Approximation Theory 112 (2001), 235-250. 
  7. M.Burger, A level set method for inverse problems, Inverse Problems 17 (2001), 1327-1356. 
  8. M.Burger, H.W.Engl, P.Markowich and P.Pietra, Identification of doping profiles in semiconductor devices , Inverse Problems 17 (2001), 1765-1795. 
  9. M.Burger, V.Capasso, and G.Eder, Modelling crystallization of polymers in temperature fields, ZAMM 82 (2002), 51-63.
  10. M.Burger, V.Capasso, and C.Salani, Modelling multi-dimensional crystallization of polymers in interaction with heat transfer, Nonlinear Analysis, Series B, 3 (2002), 139-160.
  11. A.Micheletti and M.Burger, Stochastic and deterministic simulation of nonisothermal crystallization of polymers, J.Math.Chem. 30 (2001), 169-193. 
  12. M.Burger, H.W. Engl, J.Haslinger, and U.Bodenhofer, Regularized data-driven construction of fuzzy controllers, J. Inverse & Ill-posed Problems 10 (2002), 319-344. 
  13. M.Burger and A.Neubauer, Analysis of Tikhonov regularization for function approximation by neural networks, Neural Networks 16 (2003), 79-90.
  14. M.Burger and W.Mühlhuber, Iterative regularization of parameter identification problems by SQP methods, Inverse Problems 18 (2002), 943-970. 
  15. M.Burger and W.Mühlhuber, Numerical approximation of an SQP-type method for parameter identification, SIAM J. Numer. Anal.  40 (2002), 1775 - 1797.
  16. M.Burger, A framework for the construction of level set methods for shape optimization and reconstruction, Interfaces and Free Boundaries 5 (2003), 301-329.
  17. M.Burger, R.Pinnau, Fast optimal design of semiconductor devices,  SIAM J. Appl. Math. 64 (2003), 108-126. 
  18. M.Burger, Growth of multiple crystals in polymer melts , European J. Appl. Math. 15 (2004), 347-363. 
  19. M.Burger, B.Hackl, W.Ring, Incorporating topological derivatives into level set methods, J. Comp. Phys. 194 (2004), 344-362.
  20. M.Burger, V.Capasso, A.Micheletti, Optimal control of polymer morphologies, J. Eng. Math. 49 (2004), 339-358.
  21. M.Burger, S.Osher, E.Yablonovitch, Inverse problem techniques for the design of photonic crystals, IEICE Transactions on Electronics 87 C (2004), 258-265.
  22. M.Burger, Levenberg-Marquardt level set methods for inverse obstacle problems, Inverse Problems 20 (2004), 259-282.
  23. H.Ben Ameur, M.Burger, B.Hackl, Level set methods for geometric inverse problems in linear elasticity, Inverse Problems 20 (2004), 673-696.
  24. M.Burger, A.Hofinger, Greedy algorithms for neural network training with data noise, Computing 74 (2005), 1-22.
  25. M.Burger, S.Osher, Convergence rates of convex variational regularization, Inverse Problems 20 (2004), 1411-1421.
  26. M.Burger, H.W.Engl, A.Leitao, P.Markowich, On inverse problems for semiconductor equations, Milan J. Math. 72 (2004), 273-314.
  27. M.Burger, S.Osher, A survey on level set methods for inverse problems and optimal design, European J. Appl. Math. 16 (2005), 263-301.
  28. M.Burger, Numerical simulation of anisotropic surface diffusion with curvature-dependent energy,  J. Comp. Phys. 203 (2005), 602-625.
  29. S.Osher, M.Burger, D.Goldfarb, J.Xu, W.Yin, An iterative regularization method for total variation based image restoration, Multiscale Modelling and Simulation 4 (2005), 460-489.
  30. M.Burger, B.Kaltenbacher, Regularizing Newton-Kaczmarz methods for nonlinear ill-posed problems, SIAM J. Numer. Anal. 44 (2006), 153-182.
  31. M.Burger, M.Hintermüller, Projected gradient flows for BV / level set relaxation, PAMM 5 (2005), 11-14.
  32. M.Burger, Surface diffusion including adatoms, Comm. Math. Sci. 4 (2006), 1-51.
  33. M.Burger, G.Gilboa, S.Osher, J.Xu, Nonlinear inverse scale space methods, Comm. Math. Sci. 4 (2006), 179-212.
  34. L.He, S.Osher, M.Burger, Iterative total variation regularization with non-quadratic fidelity, J. Math. Imag. Vision (2006), to appear.
  35. M.Burger, V.Capasso, L.Pizzocchero, Mesoscale averaging of nucleation and growth processes, Multiscale Modelling and Simulation 5 (2006), 564 - 592.
  36. M.Burger, V.Capasso, D. Morale, On an aggregation model with long and short range interactions, Nonlinear Analysis TMA (2006), to appear.
  37. M.Burger, M. Di Francesco, Y.Dolak-Struss, The Keller-Segel model for chemotaxis: linear vs. nonlinear diffusion, SIAM J. Math. Anal. (2006), to appear.
  38. H.Ben Ameur, M.Burger, B.Hackl, On some geometric inverse problems in linear elasticity, Math. Meth. Appl Sci. (2006), to appear.
  39. M.Burger, R.Stainko, Phase-field relaxation of topology optimization with local stress constraints, SIAM J. Control Optim. (2006), to appear.

    40. Papers in Proceedings and Books

  40. M.Burger, V.Capasso, G.Eder, and H.W.Engl, Modelling and parameter-identification in non-isothermal crystallization of polymers, in: L. Arkeryd, J. Bergh, P. Brenner, and R. Pettersson (eds.), Progress in Industrial Mathematics at ECMI 98, Teubner, Stuttgart, Leipzig, 1999,114-121
  41. J.Haslinger, U.Bodenhofer, and M.Burger, Tuning of fuzzy systems as an ill-posed problem in: M. Anile, V. Capasso, A. Greco (eds.), Progress in Industrial Mathematics at ECMI 2000 (Mathematics in Industry, Vol. 1, Springer, Berlin, 2002), 493-498. 
  42. J.Haslinger, U.Bodenhofer, and M.Burger, Data-Driven construction of sugeno controllers: analytical aspects and new numerical methods , in: Proceedings of the joint 9th IFSA World Congress and 20th NAFIPS Int. Conf. (Vancouver 2001, ISBN 0-7803-7079-1), 239-244.
  43. M.Burger, V.Capasso and A.Micheletti, Mathematical modelling of the crystallization process of polymers, in: E.A.Lipitakis, HERCMA 2001, Proceedings of the 5th Hellenic European Conference on Computer Mathematics and its Applications (LEA, Athens, 2002), 51-63. Reprint in HERMIS International Journal 3 (2003), 135-164.
  44. M.Burger, H.W.Engl, and P.Markowich, Inverse doping problems for semiconductor devices, Recent Progress in Computational and Applied PDEs (Kluwer Academic/Plenum Publishers, 2002), 27-38. 
  45. V.Capasso, M.Burger, A.Micheletti, C.Salani, Mathematical models for polymer crystallization proceses , in: V.Capasso, ed., Mathematical modelling for polymer industry (Springer, 2002), 167-242
  46. M.Burger, P.Markowich, Model reduction for semiconductor inverse dopant profiling, in: I.Troch, F.Breitenecker, eds., Proceedings of the 4th IMACS Symposium on Mathematical Modelling (Vienna, 2003, electronic, ISBN 3-901608-24-9).
  47. M.Burger, Growth and impingement in polymer melts , in: P.Colli et. al., eds., Free Boundary Problems (Birkhaeuser, Basel, 2003), 65-74. 
  48. P.Favaro, M.Burger, and S.Soatto, Scene and motion reconstruction from defocused and motion blurred images via anisotropic diffusion, in: T.Pajdla, J.Matas, eds.,  Computer Vision - ECCV 2004, Part I  (Springer,  Berlin, 2004),257-269.
  49. H.Gu, M.Burger, Symbolic preprocessing of finite element methods for parameter-dependent geometric differential equations, Proceedings of the Workshop on Symbolic-Numerical Computation SNC 05, to appear.
  50. M.Burger, G.Gilboa, S.Osher, J.Xu, Nonlinear inverse scale space methods for image restoration, in: N. Paragios et. al., eds. Variational and Level Set Methods 2005 Springer LNCS 3752 (Springer, Berlin, 2005), 26-35.
  51. M.T.Wolfram, M.Burger, Inverse dopant profiling for highly doped semiconductor devices,  in F.Breitenecker, I.Troch, eds. Proceedings of 5th MATHMOD, Vienna, 2006, ISBN 3-901608-30-3
  52. M.Burger,  A model hierarchy for surface diffusion: the small slope case, in F.Breitenecker, I.Troch, eds. Proceedings of 5th MATHMOD, Vienna, 2006, ISBN 3-901608-30-3
  53. R.Stainko, M.Burger,  A one-shot approach to topology optimization with stress constraints, in: M.P.Bendsoe, N.Olhoff, O.Sigmund, IUTAM Symposium on Topological Design Optimization of Structures, Machines, and Materials, Springer, 2006.
  54. M.Burger, V.Capasso, A.Micheletti, An extension of the Avrami-Kolmogorov formula to inhomogeneous birth-and-growth processes,  in: G.Aletti et. al., eds.,

    55. Preprints and Reports        

  55. M.Burger, Growth fronts of first-order Hamilton-Jacobi equations, SFB Report 02-8 (2002). 
  56. M.Burger, W.Mühlhuber, SQP methods for parameter identification, CAM-Report 03-56 (UCLA. 2003).
  57. M.Burger, Weak solutions for the mean curvature flow of graphs, SFB-Report 03-01 (2003).
  58. V.Capasso, A.Micheletti, M.Burger, Densities of n-facets of incomplete Johnson-Mehl tessellations generated by inhomogeneous birth-and-growth processes, submitted.
  59. M.Burger, Finite element approximation of elliptic partial differential equations on implicit surfaces, CAM-Report 05-46 (UCLA. 2005).
  60. M.Burger, F.Hausser,  C.Stöcker, A.Voigt, A level set approach to anisotropic flows with curvature regularization, CAM-Report 06-02(UCLA. 2006).
  61. M.Burger, M.Hinze, R.Pinnau, Optimization models for semiconductor dopant profiling, Preprint (2006).
  62. M.Burger, Y.Dolak-Struss, C.Schmeiser, Asymptotic analysis of an advection-dominated chemotaxis model in multiple spatial dimensions, Preprint (2006).
  63. M.Burger, M. Di Francesco, Large time behavior of nonlocal aggregation models with nonlinear diffusion, RICAM-Report 2006-15 (2006).
  64. M.Burger, K.Frick, S.Osher, O.Scherzer, Inverse total variation flow, CAM-Report 06-24 (UCLA. 2006).
  65. B.Su, M.Burger, Weak solutions of a polymer crystal growth model, CAM-Report 06-40 (UCLA. 2006).
  66. M.Burger, B.Eisenberg,  H.Engl, Inverse problems related to ion channel selectivity, Preprint (2006).
  67. B.Berkels, M.Burger, M.Droske, O.Nemitz, M.Rumpf, Cartoon extraction based on anisotropic image classification. CAM-Report 06-42 (UCLA. 2006).

Lecture Notes

  1. Optimierung mechatronischer Systeme (JKU, 2002)
  2. Infinite-Dimensional Optimization and Optimal Design (UCLA, 2003)
  3. Numerical Methods for Incompressible Flows (UCLA, 2004) - based on lecture notes by Rene Pinnau.
  4. Mathematische Modelle in der Technik (JKU, 2004)
  5. Inverse Problems (JKU, 2005)

Thesis

  1. Regularization and Numerical Solution of Inverse Problems in Shape Reconstruction, Semiconductor Modelling, Learning Theory, and Image Restoration (Habilitation Thesis, JK University Linz, January 2005). Referees: Heinz W. Engl, Ulrich Langer (Linz), Peter Markowich (Vienna), Vincenzo Capasso (Milano), Stanley J. Osher (UCLA), Joyce McLaughlin (Rensselaer)
  2. Direct and Inverse Problems in Polymer Crystallization Processes (PhD-Thesis, JK University Linz, May 2000). 
  3. Mathematical Models and Methods in Polymer Processing (Diploma Thesis, JK University Linz, June 1998).

send requests to Martin Burger , last updated by Martin Burger on July 28, 2006.