Publications of Martin Burger - by Topic


Interface Motion, Free Boundary Problems, Material Science

  1. M.Burger, Surface diffusion including free adatoms, CAM-Report 04-64 (UCLA, 2004).
  2. M.Burger, Numerical simulation of anisotropic surface diffusion with curvature-dependent energy,  J. Comp. Phys. 203 (2005),602-625.
  3. M.Burger, V.Capasso, L.Pizzocchero, Mesoscale averaging of nucleation and growth processes, CAM-Report 05-19 (UCLA, 2005).
  4. M.Burger, Weak solutions for the mean curvature flow of graphs, SFB-Report 03-01 (2003).
  5. M.Burger, Growth and impingement in polymer melts , in: P.Colli et. al., eds., Free Boundary Problems (Birkhaeuser, Basel, 2003), 65-74.
  6. M.Burger, Growth of multiple crystals in polymer melts , European J. Appl. Math. 15 (2004), 347-363.
  7. A.Micheletti and M.Burger, Stochastic and deterministic simulation of nonisothermal crystallization of polymers, J.Math.Chem. 30 (2001), 169-193. 
  8. 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.
  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. M.Burger, V.Capasso, A.Micheletti, Optimal control of polymer morphologies, J. Eng. Math. 49 (2004), 339-358.
  12. .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.
  13. 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.
  14. 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.

Semiconductor Devices

  1. M.Burger, H.W.Engl, P.Markowich and P.Pietra, Identification of doping profiles in semiconductor devices , Inverse Problems 17 (2001), 1765-1795. t
  2. 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
  3. M.Burger, R.Pinnau, Fast optimal design of semiconductor devices,  SIAM J. Appl. Math. 64 (2003), 108-126.
  4. 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).
  5. M.Burger, H.W.Engl, A.Leitao, P.Markowich, On inverse problems for semiconductor equations, Milan J. Math. 72 (2004), 273-314

Level Set based Shape Optimization

  1. M.Burger, S.Osher, A survey on level set methods for inverse problems and optimal design, European J. Appl. Math. (2004), to appear.
  2. M.Burger, A framework for the construction of level set methods for shape optimization and reconstruction, Interfaces and Free Boundaries 5 (2003), 301-329.
  3. M.Burger, R.Stainko, Phase-field relaxation of topology optimization with local stress constraints, SFB-Report 04-35 (University Linz, 2004).
  4. M.Burger, Levenberg-Marquardt level set methods for inverse obstacle problems, Inverse Problems 20 (2004), 259-282.
  5. H.Ben Ameur, M.Burger, B.Hackl, Level set methods for geometric inverse problems in linear elasticity, Inverse Problems 20 (2004), 673-696.
  6. H.Ben Ameur, M.Burger, B.Hackl, On some geometric inverse problems in linear elasticity, CAM-Report 03-55 (UCLA. 2003).
  7. M.Burger, B.Hackl, W.Ring, Incorporating topological derivatives into level set methods, J. Comp. Phys. 194 (2004), 344-362.
  8. M.Burger, Growth fronts of first-order Hamilton-Jacobi equations , SFB Report 02-8 (2002).
  9. M.Burger, A level set method for inverse problems, Inverse Problems 17 (2001), 1327-1356.

Photonic Crystals

  1. M.Burger, S.Osher, E.Yablonovitch, Inverse problem techniques for the design of photonic crystals, IEICE Transactions on Electronics 87 C (2004), 258-265.

Computational Inverse Problems and Imaging

  1. M.Burger and W.Mühlhuber, Iterative regularization of parameter identification problems by SQP methods, Inverse Problems 18 (2002), 943-970.
  2. M.Burger and W.Mühlhuber, Numerical approximation of an SQP-type method for parameter identification, SIAM J. Numer. Anal.  40 (2002), 1775 - 1797.
  3. M.Burger, W.Mühlhuber, SQP methods for parameter identification,  CAM-Report 03-56 (UCLA. 2003).
  4. M.Burger, S.Osher, Convergence rates of convex variational regularization, Inverse Problems 20 (2004), 1411-1421.
  5. S.Osher, M.Burger, D.Goldfarb, J.Xu, W.Yin, An iterative regularization method for total variation based image restoration, Multiscale Modelling and Simulation (2005), to appear.
  6. M.Burger, B.Kaltenbacher, Regularizing Newton-Kaczmarz methods for nonlinear ill-posed problems, SFB-Report 04-17 (University Linz, 2004). 
  7. M.Burger, V.Capasso, and H.W.Engl, Inverse problems related to crystallization of polymers, Inverse Problems 15 (1999), 155-173.
  8. M.Burger, Iterative regularization of a parameter identification problem occurring in polymer crystallization, SIAM J. Numer. Anal. 39 (2001), 1029-1055.

Nonlinear Partial Differential Equations

  1. M.Burger, V.Capasso, D. Morale, On an aggregation model with long and short range interactions, CAM-Report 03-30 (UCLA, 2003).
  2. H.Gu, M.Burger, Numerical-Symbolic methods for parameter-dependent geometric differential equations, SFB-Report 05-01 (University Linz, 2005).

Blind Deconvolution and Related Problems

  1. 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. 
  2. 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.

Ill-Posed Problems in Learning Theory

  1. M.Burger and H.W.Engl, Training neural networks with noisy data as an ill-posed problem, Adv. Comp. Math. 13 (2000), 335-354.
  2. M.Burger and A.Neubauer, Error bounds for approximation with neural networks, Journal of Approximation Theory 112 (2001), 235-250.
  3. M.Burger and A.Neubauer, Analysis of Tikhonov regularization for function approximation by neural networks, Neural Networks 16 (2003), 79-90.
  4. M.Burger, A.Hofinger, Greedy algorithms for neural network training with data noise, Computing 74 (2005), 1-22.
  5. 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.
  6. 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.
  7. 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.

send comments and mail to Martin Burger , last updated by Martin Burger on April 8, 2004.