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).

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) Tensor Spherical Harmonics and Tensor Spherical Splines. Manuscripta Geodaetica, 19, 70-100.
  3. W. Freeden, M. Schreiner (1995) Non-orthogonal Expansions on the Sphere. Math. Meth. in the Appl. Sci., 18 (2), 83-120.
  4. 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.
  5. W. Freeden, M. Schreiner, R. Franke (1997) A Survey on Spherical Spline Approximation . Surveys on Mathematics in Industry, 7, 29-85.
  6. M. Schreiner (1997) Locally Supported Kernels for Spherical Spline Interpolation. J. Approx. Theory, 89, 172-194.
  7. M. Schreiner (1997) On a New Condition For Strictly Positive Definite Functions on Spheres. Proceedings of the American Mathematical Society, 125 (2), 531-539. 
  8. W. Freeden, O. Glockner, M. Schreiner (1998) Spherical Panel Clustering and Its Numerical Aspects. Journal of Geodesy, 72, 586-599.
  9. 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.
  10. W. Freeden, C. Mayer, M. Schreiner (2003) Tree Algorithms in Wavelet Approximations by Helmholtz Operators. Numer. Funct. Anal. and Optim., 24, 747-782
  11. M. Schreiner (2003) The Dynamics of a Levitated Cylindrical Permanent Magnet above a Superconductor. Revista Matematica Complutense, 16, Num. 2, 495-517
  12. M. Schreiner, C. Palmy (2004) Why does a cylindrical permanent magnet rotate when levitated above a superconducting plate? Am. J. Phys. 72, 243-248
  13. W. Freeden, M. Schreiner (2005) Spaceborne Gravitational Field Determination by Means of Locally Supported Wavelets. Journal of Geodesy, 79, 431-446
  14. 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
  15. W. Freeden, M. Schreiner (2006) Multiresolution Analysis by Spherical Up Functions. Constructive Approximation, 23(3) , 241-259
  16. W. Freeden, M. Schreiner (2006) Local Multiscale Modelling of Geodial Undulations from Deflections of the Vertical. Journal of Geodesy, 79, 641-651
  17. M. Schreiner (2007) The driving torque of a rotating levitated cylindrical permanent magnet above a superconducter. Applied Mathematical Modelling, 31(5), 854-865
  18. 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
  19. 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
  20. 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

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. Schreiner (2007) The Role of Tensor Fields for Satellite Gravity Gradiometry. Dagstuhl Seminar: Visualization and Processing of Tensor Fields (akzeptiert).