Publikationen

Bücher

  1. W. Freeden, T. Gervens, M. Schreiner, (1998) Constructive Approximation on the Sphere (With Applications to Geomathematics), Oxford Science Publication, Clarendon Press, Oxford (Monography, 427 pages)
  2. W. Freeden, M. Schreiner, (2008) Spherical Functions of Mathematical Geosciences: A Scalar, Vectorial, and Tensorial Setup, Springer (Monography, 602 pages)

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Buchkapitel

  1. M. Schreiner, (2009) Spherical Functions in Mathematical Geosciences - An Attempt of categorization, In D.H. Laidlaw, J. Weickert (Eds.) Visualization and Processing of Tensor Fields, 197-121, Springer
  2. W. Freeden, M. Schreiner, (2010) Spherical Functions in Mathematical Geosciences - An Attempt of categorization, In W. Freeden, Z. Nached, T. Sonar (Eds.) Handbook of Geomathematics, Vol. II, 925-948, Springer
  3. W. Freeden, M. Schreiner, (2010) Satellite Gravity Gradiometry (SGG) - From Scalar to Tensorial Solution, In W. Freeden, Z. Nached, T. Sonar (Eds.) Handbook of Geomathematics, Vol. I, 269-302, Springer

Veröffentlichungen in wissenschaftlichen Zeitschriften

  1. M. Schreiner, (1993) Weighted Particles in the Finite Pointset Method, SIAM Journal on Transport Theory and Statistical Physics, 22(6), 793-817
  2. W. Freeden, T. Gervens, M. Schreiner, (1994) Giant magnetic susceptibility in Fe and Co epitaxial films, Zeitschrift für Physik B (Condensed-Matter). vol96, no.1; 1994; p.1-3
  3. W. Freeden, M. Schreiner, (1995) Non-orthogonal Expansions on the Sphere, Math. Meth. in the Appl. Sci., 18 (2), 83-120
  4. Th. Meyer, M. J. Bünner, A. Kittel, J. Parisi, (1995) An approach to a generalized Rössler system via mode analysis, Z. f. Naturforsch. 50A, 1135
  5. M. J. Bünner, G. Heinz, A. Kittel, J. Parisi, (1995) Structure Formation in Charge Density Wave Systems, Nonlinear Dynamics an Pattern Formation in Semiconductors and Devices, Hrsg: F.-J. Niedernostheide, Springer-Verlag, Berlin, S. 133
  6. C.H. Back, Ch. Würsch, D. Pescia, (1995) Test of Scaling in two dimensions, Zeitschrift für Physik B (Condensed-Matter). Juli 1995; 98 (1): 69-73
  7. C. H. Back, Ch. Würsch, A. Vaterlaus, U. Ramsperger, U. Maier, D. Pescia, (1995) Experimental confirmation of universality for a phase transition in two dimensions, Nature. vol.378, no.6557; 7 Dec. 1995; p.597-600
  8. W. Freeden, E. Groten, M. Schreiner, W. Söhne, M. Tücks, (1996) Deformation Analysis Using Navier Spline Interpolation (with an Application to the Lake Blåsjø Area), Allgemeine Vermessungsnachrichten (AVN), 96 (1996), 3, 120-146
  9. M. J. Bünner, M. Popp, Th. Meyer, A. Kittel, U. Rau, J. Parisi, (1996) Recovery of scalar time-delay systems from time series, Phys. Lett. A 211, 345
  10. M. J. Bünner, Th. Meyer, A. Kittel, J. Parisi, (1996) Tool to recover scalar time-dealy systems from experimental time series, Phys. Rev. E 54, R3082
  11. M. J. Bünner, Th. Meyer, A. Kittel, J. Parisi, (1996) Time-series analysis of scalar time-delay systems, Nonlinear Physics of Complex Systems, Hrsg: J. Parisi, S. C. Müller, W. Zimmermann, Springer-Verlag, Berlin, S. 229
  12. W. Weber, A. Bischof, R. Allenspach, Ch. Würsch, C. H. Back, D. Pescia, (1996) Oscillatory magnetic anisotropy and quantum well states in Cu/Co/Cu(100) films, Physical Review Letters. vol.76, no.18; 29. April 1996; p.3424-7
  13. W. Weber, C. H. Back, A. Bischof, Ch. Würsch, R. Allenspach, (1996) Morphology-induced oscillations of the magnetic anisotropy in ultrathin Co films, Physical Review Letters. vol.76, no.11; 11 March 1996; p.1940-3
  14. W. Freeden, M. Schreiner, R. Franke, (1997) A Survey on Spherical Spline Approximation, Surveys on Mathematics in Industry, 7, 29-85
  15. M. Schreiner, (1997) Locally Supported Kernels for Spherical Spline Interpolation, J. Approx. Theory, 89, 172-194
  16. M. Schreiner, (1997) On a New Condition For Strictly Positive Definite Functions on Spheres, Proceedings of the American Mathematical Society, 125 (2), 531-539
  17. J. F. Dobson, M. J. Bünner, E. K. U. Gross, (1997) Time-dependent density functional theory beyond linear response: An exchange-correlation potential with memory, Phys. Re. Lett 97, 1905
  18. Th. Meyer, M. J. Bünner, A. Kittel, J. Parisi, (1997) The dynamics of the generalized Rössler system, Phys. Rev. E 56, 5069
  19. M. J. Bünner, Th. Meyer, A. Kittel, J. Parisi, (1997) Recovery of the time-evolution equation of time-delay systems from time series, Phys. Rev. E 56, 5083
  20. M. J. Bünner, Th. Meyer, A. Kittel, J. Parisi, (1997) On the correspondence of time-delay and spatially extended systems, Z. f. Naturforsch. 52A, 573
  21. M. J. Bünner, Th. Meyer, A. Kittel, J. Parisi, (1997) The identification of time-delay systems. Applied nonlinear dynamics and stochastic systems near the millenium, Hrsg: J. B. Kadtke, A. Bulsara, AIP, New York, S. 75
  22. Ch. Würsch, C. Stamm, S. Egger, D. Pescia, W. Baltensperger, J. S. Helman, (1997) Quantum Oscillations in a confined electron gas, Nature, vol.389, 30 Oct 1997; p. 937-939
  23. W. Freeden, O. Glockner, M. Schreiner, (1998) Spherical Panel Clustering and Its Numerical Aspects, Journal of Geodesy, 72, 586-599
  24. W. Freeden, M. Schreiner, (1998) Orthogonal and Non-orthogonal Multiresolution Analysis, Scale Discrete and Exact Fully Discrete Wavelet Transform on the Sphere, Constructive Approximation, 14, 493-515
  25. R. Hegger, M. J. Bünner, A. Giaquinta, H. Kantz, (1998) Identification of delay systems, Phys. Rev. Lett 81, 558
  26. M. J. Bünner, A. Kittel, J. Parisi, I. Fischer, W. E. Elsasser, (1998) The estimation of delay times from a laser experiment, Europhys. Lett. 42 353
  27. H. Voss, M. J. Bünner, M. Abel, (1998) Identification of spatially extended systems, Phys. Rev. E. 57 2820
  28. M. J. Bünner, W. Just, (1998) The synchronisation of time-delay systems, Phys. Rev. E. 58 R4072
  29. M. J. Bünner, R. Hegger, (1999) Estimation of Lyapunov spectra from space-time data, Phys. Lett. A 258 25
  30. M. J. Bünner, G. Giacomelli, A. Politi, (1999) Oscillatory behavior in lasers with delayed feedback, J. of Opt. B. 1 171
  31. M. J. Bünner, M. Ciofini, A. Giaquinta, R. Hegger, H. Kantz, R. Meucci, A. Politi, (2000) Reconstruction of systems with delayed feedback: (II) Application, Eur. Phys. J. D. 10 177
  32. M. J. Bünner, M. Ciofini, A. Giaquinta, R. Hegger, H. Kantz, R. Meucci, A. Politi, (2000) Reconstruction of systems with delayed feedback: (I) Theory, Eur. Phys. J. D. 10 165
  33. W. Freeden, C. Mayer, M. Schreiner, (2003) Tree Algorithms in Wavelet Approximations by Helmholtz Operators, Numer. Funct. Anal. and Optim., 24, 747-782
  34. M. Schreiner, (2003) The Dynamics of a Levitated Cylindrical Permanent Magnet above a Superconductor, Revista Matematica Complutense, 16, Num. 2, 495-517
  35. M. Schreiner, C. Palmy, (2004) Why does a cylindrical permanent magnet rotate when levitated above a superconducting plate?, Am. J. Phys., 72, 243-248
  36. G. van de Braak, M. J. Bünner, K. Schittkoswki, (2004) Mixed-integer Optimization for the Design of electro-acoustical high-frequency Components, Optimization & Engineering 5, (2004) 271
  37. W. Freeden, M. Schreiner, (2005) Spaceborne Gravitational Field Determination by Means of Locally Supported Wavelets, Journal of Geodesy, 79, 431-446
  38. F. Bauer, W. Freeden, M. Schreiner, (2006) A Tree Algorithm for Isotropic Finite Elements on the Sphere, Numer. Funct. Anal. and Optim., 27(1), 1-24
  39. W. Freeden, M. Schreiner, (2006) Multiresolution Analysis by Spherical Up Functions, Constructive Approximation, 23(3) , 241-259
  40. W. Freeden, M. Schreiner, (2006) Local Multiscale Modelling of Geodial Undulations from Deflections of the Vertical, Journal of Geodesy, 79, 641-651
  41. M. Schreiner, (2007) The driving torque of a rotating levitated cylindrical permanent magnet above a superconducter, Applied Mathematical Modelling, 31(5), 854-865
  42. T. Fehlinger, W. Freeden, S. Gramsch, C. Mayer, D.Michel, M. Schreiner, (2007) Local Modelling of Sea Surface Topography from (Geostrophic) Ocean Flow, Zamm, 87(11-12), 775-791
  43. W. Freeden, M. Schreiner, (2007) Biorthogonal Locally Supported Wavelets on the Sphere Based on Zonal Kernel Functions, Journal of Fourier Analysis and Applications, 13(6), 693-709
  44. K. Frick, O. Scherzer, (2007) Convex Inverse Scale Spaces, LNCS, 4485, 313 - 325
  45. K. Frick, O. Scherzer, (2007) Application of Non Convex BV Regularization for Image Segmentation, Image Processing Based on Partial Differential Equations, 211 - 228
  46. M. Burger, K. Frick, S. Osher, O. Scherzer, (2007) Inverse Total Variation Flow, Multiscale Model. Simul., 6, 365 - 395
  47. T. Fehlinger, W. Freeden, C. Mayer, M. Schreiner, (2008) On the Local Multiscale Determination of the Earth’s Disturbing Potential From Discrete Deflections of the Verticals, Computational Geosciences, 12(4), 473-490
  48. E. Carelli, A. Prohl, (2009) A note on pressure approximation of first and higher order projection schemes for the nonstationary incompressible Navier-Stokes equations, J. Comput. Math. 27 (2009), no. 2-3, 338–347
  49. E. Carelli, J. Haehnle, A. Prohl, (2010) Convergence analysis for incompressible generalized Newtonian fluid flows with nonstandard anisotropic growth conditions, SIAM J. Numer. Anal. 48 (2010), no. 1, 164–190
  50. K. Frick, O. Scherzer, (2010) Regularization of ill-posed linear equations by the non-stationary Augmented Lagrangian Method, J. Integral Equations Appl., 22, 217-258
  51. M. Schreiner, (2011) Der Klang von Musikinstrumenten - erklärt mit Hilfe der Synthese von Kängen, MU - Der Mathematik-Unterricht 57(1), 44-53
  52. K. Frick, D. A. Lorenz, E. Resmerita, (2011) Morozov´s principle for the augmented Lagrangian method applied to linear inverse problems, Multiscale Model. Simul., 9, 1528-1548
  53. E. Carelli, E. Hausenblas, A. Prohl, (2012) Time-splitting methods to solve the stochastic incompressible Stokes equation, SIAM J. Numer. Anal. 50 (2012), no. 6, 2917–2939
  54. E. Carelli, A. Prohl, (2012) Rates of convergence for discretizations of the stochastic incompressible Navier-Stokes equations, SIAM J. Numer. Anal. 50 (2012), no. 5, 2467–2496
  55. E. Carelli, A. Müller, A. Prohl, (2012) Domain decomposition strategies for the stochastic heat equation, Int. J. Comput. Math. 89 (2012), no. 18, 2517–2542
  56. K. Frick, M. Grasmair, (2012) Regularization of Linear Ill-posed Problems by the Augmented Lagrangian Method and Variational Inequalities, Inverse Problems, 28, 104005
  57. K. Frick, P. Marnitz, (2012) A Statistical Multiresolution Strategy for Image Reconstruction, LNCS , 6667, 74-85
  58. K. Frick, P. Marnitz, A. Munk, (2012) Statistical Multiresolution Dantzig Estimation in Imaging: Fundamental Concepts and Algorithmic Framework , Electron. J. Stat., 6, 231-268
  59. K. Frick, P. Marnitz, A. Munk, (2012) Shape Constrained Regularisation by Statistical Multiresolution for Inverse Problems, Inverse Problems, 28, 065006
  60. Z. Brzezniak, E. Carelli, A. Prohl, (2013) Finite-element-based discretizations of the incompressible Navier–Stokes equations with multiplicative random forcing, IMA J. Numer. Anal. 33 (2013), no. 3, 771-824
  61. A. Pietkiewicz , T. Gnos, M. Bünner, K. Schenk, (2013) Novel Inductive Current Splitter/Merger for Low Harmonics Three-Phase Rectifiers, to be published PCIM (2013)
  62. K. Frick, A. Munk, H. Sieling, (2013) Multiscale Change-Point Inference (software "stepR" for multiscale change point analysis "SMUCE"), Journ. Royal Statist. Society, Ser. B, with discussion . To appear
  63. K. Frick, P. Marnitz, A. Munk, (2013) Statistical Multiresolution Estimation for Variational Imaging: With an Application in Poisson-Biophotonics, J. Math. Imaging Vision, 46(3), 370-387
  64. R. Stoop, P. Nüesch, R. L. Stoop, L. Bunimovich, (2013) At Grammatical Faculty of Language, Flies Outsmart Men. PLoS ONE 8(8):, e70284. doi:10.1371/journal.pone.0070284

Begutachtete Beiträge in Tagungsbänden

  1. W. Freeden, M. Schreiner, (1994) Satellite Gradiometry - From Mathematical and Numerical Point of View, In: Rummel, R., Schwintzer, P. (eds.), A Major STEP for Geodesy, Report 1994 of the STEP Geodesy Working Group, München, Potsdam
  2. M. Schreiner, (1994) Uniqueness Problems in Satellite Gradiometry, In: Proceedings of the 8th Conference of the European Consortium for Mathematics in Industry, Kaiserslautern, September 6-10, 1994
  3. W. Freeden, M. Schreiner, (1995) New Wavelet Methods for Approximating Harmonic Functions, International Association of Geodesy Symposia, No. 114, (F. Sanso, ed.), Springer, Berlin-Heidelberg-New York, 112-121
  4. W. Freeden, M. Schreiner, (1995) Satellite Gradiometry - A New Approach, International Association of Geodesy Symposia, No. 114, (F. Sanso, ed.), Springer, Berlin-Heidelberg-New York, 122-193
  5. M. Schreiner, (1995) The Combination of Spline Approximation and Numerical Filtering in Satellite Gradiometry, ZAMM, 75, 665-666
  6. W. Freeden, F. Schneider, M. Schreiner, (1997) Gradiometry - An Inverse Problem in Modern Satellite Geodesy, GAMM SIAM Symposium on Inverse Problems: Geophysical Applications, 179-239
  7. W. Freeden, O. Glockner, M. Schreiner, (1998) Fast Multiscale Evaluation of Geopotentials by Harmonic Wavelets, In: Progress in Geodetic Science (W. Freeden, ed.), Shaker, 237-257
  8. M. Schreiner, (2004) Locally Supported Wavelets on the Sphere, Oberwolfach Workshop Report Geomathematics
  9. M. Schreiner, (2005) Effiziente Lösung eines Fluid-Struktur-Interaktionsproblems in hydraulischen Dämpfern mit elastischen Komponenten, Proceedings der Femlab Konferenz 2005: Neue Wege in der Multiphysik Simulation, 254-259
  10. W. Freeden, S. Gramsch, M. Schreiner, (2007) Local Geoid Modelling From Vertical Deflections. Proceedings of the VI Hotine-Marussi Symposium of Theoretical and Computational Geodesy, Wuhan, China 29 May - 2 June, 2006 (International Association of Geodesy Symposia)
  11. M. Schreiner, (2007) Locally supported spherical wavelets based on block grids, Proceedings of the ICIAM2007-Meeting, Zuerich. Proc. Appl. Math. Mech. 7, 1050401–1050402
  12. M. Gubser, M. Gutsche, H. Künzli, F.X. Lenherr, G. Nicolussi, M. Schreiner, (2010) Charakterisierung und Modellierung einer Hohlkathodenplasmaquelle, Conference Procedings DOMIT, 5. Dornbirner Mikrotechniktage
  13. S. Schwyn Thöny, S. Wüthrich, M. Padrun, M. Burgunder, T. Gnos, T. Meier, M. Schreiner, C. Wuersch, R. Buser, (2013) Simulation and Optimization of Distribution Shields: Improved Uniformity and Material Utilization, In Optical Interference Coatings, M. Tilsch and D. Ristau, eds., OSA Technical Digest (online) (Optical Society of America, 2013), paper WC.4