Geomathematics Group:

 
language:GER/ENG

List of Publications

2012

  1. M. Koster, H. Nutz, W. Freeden, D. Eifler. Measuring techniques for the very high cycle fatigue behaviour of a high strength steel at ultrasonic frequencies, Int. Journal of Materials Research 103, 106-112, 2012.
  2. C. Gerhards. Locally Supported Wavelets for the Separation of Spherical Vector Fields with Respect to their Sources, Int. J. Wavel. Multires. Inf. Process., accepted, 2012

2011

  1. W. Freeden. Metaharmonic Lattice Point Theory, CRC Press, Taylor & Francis Group, 2011.
  2. M. Koster, H. Nutz, G. Wagner, W. Freeden. Inverse Methods for Fatigue Assessment in the VCHF-Regime, VHCF 5-Proceedings, 497-502, Berlin, 2011.
  3. W. Freeden, I. Ostermann. Mathematik als Schlüsseltechnologie in der Geothermie, Geothermische Energie 70, 20-24, 2011.
  4. W. Freeden, H. Nutz. Satellite gravity gradiometry as tensorial inverse problem, Int. J. Geomath. 2, 177- 218, 2011.
  5. C. Blick, W. Freeden. Spherical Spline Application to Radio Occultation Data, J. Geod. Sci. 1, 379-396, 2011.
  6. M. Augustin, A. Caiazzo, A. Fiebach, J. Fuhrmann, V. John, A. Linke, R. Umla. An assessment of discretizations for convection-dominated convection-diffusion equations, Computer Methods in Applied Mechanics and Engineering 200, 3395-3409, 2011
  7. M. Augustin, W. Freeden, C. Gerhards, S. Möhringer, I. Ostermann. Mathematische Methoden in der Geothermie, Math. Semesterber., DOI: 10.1007/s00591-011-0093-y, 2011
  8. F. Bauer, M. Gutting. Spherical Fast Multiscale Approximation by Locally Compact Orthogonal Wavelets, Int. J. Geom. 2, 69-85, 2011
  9. W. Freeden, I. Ostermann, M. Augustin. Mathematik als Schlüsseltechnologie in der Geothermie, Geothermische Energie 70, 20-24, 2011
  10. C. Gerhards. Spherical Decompositions in a Global and Local Framework: Theory and an Application to Geomagnetic Modeling, Int. J. Geomath. 1, 205-256, 2011
  11. Y. Luchko, A. Punzi. Modeling anomalous heat transport in geothermal reservoirs via fractional diffusion equations, Int. J. Geomath. 1, 257-276, 2011
  12. I. Ostermann. Three-dimensional modeling of heat transport in deep hydrothermal reservoirs, Int. J. Geomath. 2, 37-68, 2011

2010

  1. W. Freeden, H. Nutz, K. Wolf. Time-Space Multiscale Analysis and its Application to GRACE and Hydrology Data. In: F.M. Flechtner, Th. Gruber, A. Güntner, M. Mandea, M. Rothacher, T. Schöne, J. Wickert (Eds.) System Earth via Geodetic-Geophysical Space Techniques, Springer 2010.
  2. W. Freeden. Geomathematics: Its Role, Its Aim, and Its Potential,, In: W. Freeden, Z. Nashed, T. Sonar (Eds.) Handbook of Geomathematics, Springer, 2010.
  3. W. Freeden, C. Gerhards. Poloidal and Toroidal Field Modeling in Terms of Locally Supported Vector Wavelets, Mathematical Geosciences 42, 817-838 (2010).
  4. W. Freeden, M. Schreiner. Spherical Functions in Mathematical Geosciences - An Attempt of Categorization, In: W. Freeden, Z. Nashed, T. Sonar (Eds.) Handbook of Geomathematics, Springer, 2010.
  5. W. Freeden, M. Schreiner. Satellite Gravity Gradiometry (SGG) - From Scalar to Tensorial Solution, In: W. Freeden, Z. Nashed, T. Sonar (Eds.) Handbook of Geomathematics, Springer, 2010.
  6. C. Gerhards. Multiscale Modeling of the Geomagnetic Field and Ionospheric Currents, In: W. Freeden, Z. Nashed, T. Sonar (Eds.) Handbook of Geomathematics, Springer, 2010.
  7. M. Ilyasov, I. Ostermann, A.Punzi. Modeling Deep Geothermal Reservoirs: Recent Advances and Future Problems, In: W. Freeden, Z. Nashed, T. Sonar (Eds.) Handbook of Geomathematics, Springer, 2010.
  8. H. Nutz, K. Wolf. Multiresolution Analysis of Hydrology and Satellite Gravitational Data. In: W. Freeden, Z. Nashed, T. Sonar (Eds.) Handbook of Geomathematics, Springer 2010.

2009

  1. W. Freeden. Geomathematik, was ist das überhaupt?, Jahresbericht der DMV, JB 111, Heft 3, 125-152 (2009).
  2. W. Freeden , T. Fehlinger, M. Klug, D. Mathar and K. Wolf. Classical Globally Reflected Gravity Field Determination in Modern Locally Oriented Multiscale Framework, Journal of Geodesy 83, 1171-1191 (2009).
  3. W. Freeden, K. Wolf, Klassische Erdschwerefeldbestimmung aus der Sicht moderner Geomathematik, Mathematisch Semesterberichte 56, 53-78 (2009).

2008

  1. Freeden, M. Gutting, On the completeness and Closure of Vector and Tensor Spherical Harmonics, Integral Transforms and Special Functions, Vol. 19, No. 10, pp. 713-734, Taylor & Francis, 2008
  2. W. Freeden, S. Gramsch, and M. Schreiner, Local Geoid Modeling From Vertical Deflections, Proceedings of the VI Hotine-Marussi Symposium of Theoretical and Computational Geodesy (132), 333-336 (2008).
  3. H. Nutz, K. Wolf, Time-Space Multiscale Analysis by Use of Tensor Product Wavelets and its Application to Hydrology and GRACE Data, Studia Geophysica et Geodaetica, 52 (2008), 321-339 (online version).
  4. V. Michel, A.S. Fokas, A unified approach to various techniques for the non-uniqueness of the inverse gravimetric problem and wavelet-based methods, Inverse Problems 24 (2008) 045019, 2008 (online version).
  5. G. Hebinger, V. Michel, M. Richter, A. Simon, Speech Recognition Support of Assisted Living, submitted to the proceedings of the workshop "Ambient Intel-ligence" at the 31st German Conference on Artificial Intelligence, 2008.
  6. A. Amirbekyan, V. Michel, F.J. Simons Parameterizing surface-wave tomographic models with harmonic spherical splines, accepted for publication by: Geophysical Journal International, 2008.
  7. P. Kammann, V. Michel Time-Dependent Cauchy-Navier Splines and their Application to Seismic Wave Front Propagation, Zeitschrift für Angewandte Mathematik und Mechanik, (ZAMM) 88, No. 3, 155-178 (2008). (abstract) (preprint) ,
  8. A. Amirbekyan, V. Michel Splines on the 3-dimensional Ball and their Application to Seismic Body Wave Tomography, Inverse Problems, 24 (2008), (online version).
  9. V. Michel, K. Wolf Numerical Aspects of a Spline-Based Multiresolution Recovery of the Harmonic Mass Density out of Gravity Functionals, Geophysical Journal International, 173 (2008), 1-16.(online version)
  10. T. Fehlinger, W. Freeden, C. Mayer, and M. Schreiner, On the Local Multiscale Determination of the Earths Disturbing Potential From Discrete Deflections of the Vertical, Comput. Geosci. 12, 473-490 (2008).

2007

  1. V. Michel, Review of the Book Mathematical Geophysics. An introduction to rotating fluids and the Navier-Stokes equations, by J.Y. Chemin, B. Desj. Freeden, V. Michel (eds.) Multiscale Modelling of CHAardins, I. Gallagher, E. Grenier, ZAMM 87(2007)3, S. 246.
  2. M. Fengler, W. Freeden, A. Kohlhaas, V. Michel, T. Peters, Wavelet Modeling of Regional and Temporal Variations of the Earth's Gravitational Potential Observed by GRACE, Journal of Geodesy (81) 5-15 (doi.org/10.1007/S00190-006-0040-1) (2008).
  3. W.Freeden, C. Mayer Modeling Tangential Vector Fields on Regular Surfaces by Means of Mie Potentials, Int. J. of Wavelets, Multires. and Inf. Processing 5(3) 417-449 (2007)
  4. W. Freeden, and M. Schreiner, Biorthogonal Locally Supported Wavelets on the Sphere Based on Zonal Functions, Journal of Fourier Analysis and Applications (13) 693-709 (2007).
  5. T. Fehlinger, W. Freeden, S. Gramsch, C. Mayer, D. Michel and M. Schreiner, Local Modelling of Sea Surface Topography from (Geostrophic) Ocean Flow, ZAMM 87, No. 11-12, 775-791, (2007). (online version).
  6. M. Schmidt, M. Fengler, T. Mayer-Gürr, A. Eicker, J. Kusche, L. Sanchez, S.C. Han, Regional Gravity Modeling in Terms of Spherical Base Functions J. Geod. (2007), doi: 10.1007/s00190-006-0101-5

2006

  1. F. Bauer, W. Freeden, M. Schreiner A Tree Algorithm for Isotropic Finite Elements on the Sphere, Num. Funct. Anal. and Optim. (27) 1-24 (2006)
  2. W. Freedem, C. Mayer, Multiscale Solution of the Molodensky Problem on Regular Telluroidal Surfaces, Acta Geodaetica et Geophysica Hungarica (41) 55-86 (2006)
  3. W. Freeden, M. Schreiner Local Multiscale Modeling of Geoidal Undulations from Deflections of the Vertical, Journal of Geodesy (78) 641-651 (2006)
  4. M. Fengler, W. Freeden, M. Gutting The Spherical Bernstein Wavelet Int. Journal of Pure and Applied Mathematics 31(2) 209-230 (2006)
  5. W. Freeden, M. Schreiner Multiresolution Analysis by Spherical Up Functions Constructive Approximation (23) 241-259 (2006)
  6. W. Freeden, C. Mayer, Wavelet Modelling of Tangential Vector Fields on Regular Surfaces by Means of Mie Potentials, International Journal of Wavelets, Multiresolution and Information Processing (IJWMIP), (accepted, 2006)
  7. W. Freeden, M. Schreiner, Biorthogonal Locally Supported Wavelets on the Sphere Based on Zonal Functions, Journal of Fourier Analysis and Applications (JFAA), (submitted, 2006)
  8. M. Akram, V. Michel Locally Supported Approximate Identities on the Unit Ball, Schriften zur Funktionalanalysis und Geomathematik, 30 (2006), Numerical Algorithms.
  9. V. Michel Fast Approximation on the 2-Sphere by Optimally Localizing Approximate Identities, (preprint)
  10. A. Chattopadhyay, V. Michel, A Model for Spherical SH-Wave Propagation in Self-reinforced Linearly Elastic Media. Archive of Applied Mechanics, (75):113-124, 2006 (online version)
  11. M. J. Fengler, W. Freeden, A. Kohlhaas, V. Michel, T. Peters, Wavelet Modelling of Regional and Temporal Variations of the Earth's Gravitational Potential Observed by GRACE. Journal of Geodesy, (81): 5-15, 2007, (online version)
  12. M. J. Fengler, D. Michel ,V. Michel, Harmonic Spline-Wavelets on the 3-dimensional Ball and their Application to the Reconstruction of the Earth's Density Distribution from Gravitational Data at Arbitrarily Shaped Satellite Orbits. Zeitschrift f�r Angewandte Mathematik und Mechanik, (86): 856-873, 2006 (online version)
  13. C. Mayer, T. Maier, Separating Inner and Outer Earth's Magnetic Field from CHAMP Satellite Measurements by Means of Vector Scaling Functions and Wavelets. Geophysical Journal International (GJI), doi:10.1111/j.1365-246X.2006.03199.x, 2006.

2005

  1. M. J . Fengler, A Nonlinear Galerkin Scheme Involving Vectorial and Tensorial Spherical Wavelets for Solving the Incompressible Navier-Stokes Equation on the Sphere. Proc. Appl. Math. Mech., (5): 457-458, 2005 (preprint)
  2. M. J. Fengler, W. Freeden, M. Gutting, The Spherical Bernstein Wavelet. Journal of Approximation Theory (submitted), 2005 (preprint)
  3. M. J. Fengler, W. Freeden, A Nonlinear Galerkin Scheme Involving Vector and Tensor Spherical Harmonics for Solving the Incompressible Navier-Stokes Equation on the Sphere. SIAM Journal on Scientific Computing (27) 967-994 (2005). (preprint)
  4. W. Freeden, V. Michel Wavelet Deformation Analysis for Spherical Bodies, Int. Journal of Wavelets, Multires. and Inf. Process. (3) 523-558 (2005)
  5. W. Freeden, S. Gramsch, A. Luther, G. Schüler Von forstmeteorologischen Punktmessungen zu räumlichen aggregierten Daten-Ausgleich von Messlücken durch approximative Bestimmung fehlender forstmeteorologischer MEssdaten, Forstarchiv (76) 44-53 (2005).
  6. W. Freeden, D. Michel, V. Michel Local Multiscale Approximations of Geostrophic Flow: Theoretical Background and Aspects of Scientific Computing, Marine Geodesy (28) 313-329 (2005)
  7. W. Freeden, M. Schreiner Spaceborne Gravitational Field Determination by Means of Locally Supported Wavelets, Journal of Geodesy (79) 431-446 (2005)
  8. W. Freeden, D. Michel, V. Michel, Local Multiscale Approximations of Geostrophic Oceanic Flow: Theoretical Background and Aspects of Scientific Computing. Marine Geodesy, (28):313-329, 2005 (preprint)
  9. W. Freeden, S. Gramsch, A. Luther, G. Schüler, Konstruktive Approximation des Windfeldes - Entscheidungsgrundlage für waldbauliche Planungen. Forstarchiv (76): 44-53, 2005
  10. W. Freeden, V. Michel, Wavelet Deformation Analysis for Spherical Bodies, International Journal on Wavelets, Multiresolution and Information Processing, (3): 523-558, 2005 (online version)
  11. T. Maier, Wavelet-Mie-Representations for Solenoidal Vector Fields with Applications to Ionospheric Geomagnetic Data. Journal on Applied Mathematics 65 (6), 1888-1912, 2005
  12. C. Mayer, Wavelet Decomposition of Spherical Vector Fields with Respect to Sources. (submitted) 2005
  13. D. Michel, Methods of Resolution for the Poisson Equation on the 3D Ball PAMM - Proc. Appl. Math. Mech., (5): 687-688, 2005 (preprint)
  14. V. Michel, Regularized Wavelet-based Multiresolution Recovery of the Harmonic Mass Density Distribution from Data of the Earth's Gravitational Field at Satellite Height. Inverse Problems, (21): 997-1025, 2005
  15. V. Michel, Wavelets on the 3-dimensional Ball. Proc. Appl. Math. Mech., (5): 775-776, 2005 (preprint)

2004

  1. M. J. Fengler, A Fast Nonlinear Galerkin Scheme Involving Vector and Tensor Spherical Harmonics for Solving the Incompressible Navier-Stokes Equation on the Sphere. Oberwolfach Reports, EMS Publishing House, Vol. 1, pp. 1425-1428, 2004 (preprint)
  2. M. J. Fengler, W. Freeden, J. Kusche Multiscale Geopotential Solutions from CHAMP Orbits and Accelerometry. C. Reigber, H. Lühr, P. Schwintzer, J. Wickert (Eds.), Proceedings of the 2nd CHAMP Science Meeting, Springer Berlin, Heidelberg, New York, pp. 139-144, 2004
  3. M. J. Fengler, W. Freeden, M. Gutting, Darstellung des Gravitationsfelds und seiner Funktionale mit Multiskalentechniken. Zeitschrift für Geodäsie, Geoinformation und Landmanagement (ZFV), Vol. 5, pp. 323-334, 2004 (preprint)
  4. M. J. Fengler, W. Freeden, M. Gutting, Multiscale Modelling from EIGEN-1s, EIGEN-2, EIGEN-GRACE01S, GGM01, UCPH2002_0.5, EGM96. Proc. Second International GOCE User Workshop "GOCE, The Geoid and Oceanography", ESA-ESRIN, Frascati, Italy, 8-10 March 2004 (ESA SP-569, June 2004) 2004 (online version) (preprint)
  5. M. J. Fengler, W. Freeden, M. Gutting, Multiscale Modelling from EIGEN-1s, EIGEN-2, EIGEN-GRACE01S, UCPH2002_0.5, EGM96. C. Reigber, H. L�hr, P. Schwintzer, J. Wickert (Eds.), Proceedings of the 2nd CHAMP Science Meeting, Springer Berlin, Heidelberg, New York, pp. 145-150, 2004
  6. M. J. Fengler, W. Freeden, V. Michel, The Kaiserslautern Multiscale Geopotential Model SWITCH-03 from Orbit Perturbations of the Satellite CHAMP and Its Comparison to the Models EGM96, UCPH2002_02_0.5, EIGEN-1s, and EIGEN-2. Geophysical Journal International, Vol. 157, pp. 499-514, 2004 (online version)
  7. W. Freeden, C. Mayer, Multiresolution Data Analysis - Numerical Realization by use of Domain Decomposition Methods and Fast Multipole Techniques. Proceedings of the V. Hotine-Marussi Symposium of Mathematical Geodesy, F. Sanso Edt., 57-68, 2004
  8. W. Freeden, C. Mayer, Multiscale Solution of Oblique Boundary Value Problems by Layer Potentials. Proceedings of the V. Hotine-Marussi Symposium of Mathematical Geodesy, F. Sanso Edt., 90-98, 2004
  9. W. Freeden, D. Michel, V. Michel, Multiscale Modelling of Oceanic Circulation. , Proc. Second International GOCE User Workshop "GOCE, The Geoid and Oceanography", ESA-ESRIN, Frascati, Italy, 8-10 March 2004. (ESA SP-569, June 2004) 2004 (online version)(preprint)
  10. W. Freeden, V. Michel, Multiscale Potential Theory (with Applications to the Geoscience). Monograph, Birkh�user, Boston, 2004
  11. W. Freeden, V. Michel, Orthogonal Zonal, Tesseral and Sectorial Wavelets on the Sphere for the Analysis of Satellite Data. Advances in Computational Mathematics, (21): 181-217, 2004
  12. C. Mayer, Wavelet Modelling of the Spherical Inverse Source Problem with Application to Geomagnetism. Inverse Problems, 20, 1713-1728, 2004
  13. D. Michel, Mathematical Methods in Oceanography -- Approximation Methods in Ocean Modeling In: Oberwolfach Reports, Vol. 1, No. 2, pp. 1422-1425, 2004
  14. V. Michel, Multi-scale Approaches for the Determination of the Earth's Interior - from Gravitational and Seismic Data. Oberwolfach Workshop Report "Geomathematics", Report 27: 1380-1381, 2004

2003 and earlier

  1. W. Freeden, V. Michel (eds.) Multiscale Modelling of CHAMP Data, Schriften zur Funktionalanalysis und Geomathematik, Fachbereich Mathematik, Technische Universität Kaiserslautern, 4 (2003). (further details).
  2. M. K. Abeyratne Cauchy-Navier Wavelet Solvers and Their Application in Deformation Analysis. PhD Thesis, University of Kaiserslautern, Geomathematics Group, 2003 (online version)
  3. M. K. Abeyratne, W. Freeden, C. Mayer, Multiscale Deformation Analysis by Cauchy-Navier Wavelets. Journ. of Applied Math., (12): 605-645, 2003
  4. F. Bauer, W. Freeden, M. Schreiner, A Tree Algorithm for Isotropic Finite Elements on the Sphere. Numerische Mathematik (submitted), 2003
  5. W. Freeden, C. Mayer, Wavelets Generated by Layer Potentials. Applied Computational Harmonic Analysis (ACHA), (14): 195-237, 2003
  6. W. Freeden, C. Mayer, M. Schreiner, Tree Algorithms in Wavelet Approximation by Helmholtz Potential Operators. Numer. Funct. Anal. and Optim. , (24), 747-782, 2003
  7. W. Freeden, E. Groten, V. Michel, A. Kaboodvand, Geopotential Reconstruction, Decomposition, Fast Computation, and Noise Cancellation by Harmonic Wavelets. Studia Geophysica et Geodaetica, (47): 37-72, 2003
  8. W. Freeden, K. Hesse Spline Modelling of Geostrophic Flow: Theoretical and Algorithmic Aspects. , Numerische Mathematik, (submitted), 2003
  9. W. Freeden, M. Schreiner, Multiresolution Analysis by Spherical Up Functions. Constructive Approximation, (submitted), 2003
  10. W. Freeden, T. Maier, Spectral and Multiscale Signal-to-Noise Thresholding of Spherical Vector Fields. Computational Geosciences, 7(3): 215-250, 2003
  11. W. Freeden, T. Maier, SST-Regularisierung durch Multiresolutionstechniken auf der Basis von CHAMP-Daten. Allgemeine Vermessungs-Nachrichten (AVN), 5, 2003, 162-175, 2003
  12. W. Freeden, T. Maier, S. Zimmermann, A Survey on Wavelet Methods for (Geo)Applications. Revista Mathematica Complutense, Madrid, 16(1), 2003
  13. W. Freeden, V. Michel (eds), Multiscale Modeling of CHAMP Data. Technische Universität Kaiserslautern, Schriften zur Funktionalanalysis und Geomathematik, 4, 2003
  14. K. Hesse, Domain Decomposition Methods in Multiscale Geopotential Determination from SST and SGG, PhD Thesis, University of Kaiserslautern, Geomathematics Group, Shaker, Aachen, 2003
  15. K. Hesse, M. Gutting, Smoothing Splines in Multiscale Geopotential Determination from SST-Data or SGG-Data Technical Report AGTM, No. 255, Laboratory of Technomathematics, Geomathematics Group, University of Kaiserslautern, 2003
  16. T. Maier, Multiscale Geomagnetic Field Modelling From Satellite Data: Theoretical Aspects and Numerical Applications PhD Thesis, University of Kaiserslautern, Geomathematics Group, 2003 (online version)
  17. T. Maier, C. Mayer, Multiscale Downward Continuation of CHAMP FGM-Data for Crustal Field Modelling. In: First CHAMP Mission Results for Gravity, Magnetic and Atmospheric Studies. 288- 295, Springer, 2003
  18. C. Mayer, Wavelet Modelling of Ionospheric Currents and Induced Magnetic Fields From Satellite Data. PhD Thesis, University of Kaiserslautern, Geomathematics Group, 2003 (online version)
  19. C. Mayer, T. Maier, Multiscale Determination of Radial Current Distribution from CHAMP FGM-Data. In: First CHAMP Mission Results for Gravity, Magnetic and Atmospheric Studies. 339-345, Springer, 2003
  20. V. Michel, Theoretical Aspects of a Multiscale Analysis of the Eigenoscillations of the Earth. Revista Matematica Complutense, (16): 519-554, 2003
  21. M. Schreiner, Wavelet Approximation by Spherical Up Functions, Habilitation Thesis, University of Kaiserslautern, Geomathematics Group., 2003
  22. M. J. Fengler, Ein neuer Ansatz zur effizienten Behandlung des Eigenwertproblems in SCF-Verfahren. R. Esser (Hrsg.), Beitr�ge zum Wissenschaftlichen Rechnen, Zentralinstitut f�r Angewandte Mathematik (ZAM), Technical Report FZJ-ZAM-IB-2002-12, pp. 19-30, 2002 (preprint)
  23. W. Freeden, B. Strehl, F. Triebsch, Kaiserslautern Graduate School - Mathematics as a Key Technology In: Proceedings of the DAAD-HRK DIES1-Conference Bonn, Band 24, 71-82, 2002 (online version)
  24. W. Freeden, K. Hesse, On the Multiscale Solution of Satellite Problems by Use of Locally Supported Kernel Functions Corresponding to Equidistributed Data on Spherical Orbits. Studia Scientiarum Mathematicarum Hungarica (39), 37-74, 2002
  25. W. Freeden, T. Maier, On Multiscale Denoising of Spherical Functions: Basic Theory and Numerical Aspects. Electronic Transactions on Numerical Analysis (ETNA), 14:40-62, 2002
  26. W. Freeden, V. Michel, H. Nutz, Satellite-to-Satellite Tracking and Satellite Gravity Gradiometry (Advanced Techniques for High-Resolution Geopotential Field Determination). Journal of Engineering Mathematics, (43): 19-56, 2002
  27. O. Glockner On Numerical Aspects of Gravitational Field Modelling from SST and SGG by Harmonic Splines and Wavelets (With Application to CHAMP Data). PhD thesis, University of Kaiserslautern, Geomathematics Group, Shaker, Aachen, 2002
  28. R. Litzenberger, Pyramid Schemes for Harmonic Wavelets in Boundary-Value Problems. PhD thesis, University of Kaiserslautern, Geomathematics Group, Shaker, Aachen, 2002
  29. V. Michel, A Multiscale Approximation for Operator Equations in Separable Hilbert Space -- Case Study: Reconstruction and Description of the Earth's Interior. Habilitation Thesis, University of Kaiserslautern, Geomathematics Group. Shaker Verlag, Aachen, 2002
  30. V. Michel, Scale Continuous, Scale Discretized and Scale Discrete Harmonic Wavelets for the Outer and the Inner Space of a Sphere and Their Application to an Inverse Problem in Geomathematics. Applied and Computational Harmonic Analysis (ACHA) (12): 77-99, 2002
  31. H. Nutz, A Unified Setup of Gravitational Field Observables. PhD thesis, University of Kaiserslautern, Geomathematics Group. Shaker, 2002
  32. M. Bayer, W. Freeden, T. Maier, A Vector Wavelet Approach in Iono- and Magnetospheric Geomagnetic Satellite Data. Journal of Atmospheric and Solar-Terrestrial Physics, (63): 581-597, 2001
  33. W. Freeden, A General Construction Principle of Wavelets. In: Proceedings of the MPA/ESO/MPE Workshop 2000 "Mining the Sky", Held at Garching. Springer, A. J. Banday, S. Zaroubi, M. Bartelmann, editors, 53-70, 2001
  34. W. Freeden, Multiscale Modelling of GOCE-DATA-Products. In: ESA-Proceedings of the "International GOCE User Workshop", ESTEC, Noordwijk, ESA, WPP-188, editors, 111-126, 2001
  35. W. Freeden, S. Pereverzev, Spherical Tikhonov Regularization Wavelets in Satellite Gravity Gradiometry with Random Noise. Journal of Geodesy, (74): 730-736, 2001
  36. W. Freeden, V. Michel, Basic Aspects of Geopotential Field Approximation From Satellite-to-Satellite Tracking Data. Math. Meth. Appl. Sci. (24): 827-846, 2001
  37. W. Freeden, V. Michel, M. Stenger, Multiscale Signal-to-Noise Thresholding. Acta Geodaetica et Geophysica Hungarica (36): 55-86, 2001
  38. M. Bayer, Geomagnetic Field Modelling From Satellite Data by First and Second Generation Wavelets. PhD thesis, University of Kaiserlautern, Geomathematics Group, Shaker, Aachen, 2000
  39. M. Bayer, M. Reissel, Bestimmung von Spannungsgradienten aus diskreten Finite-Elemente-Daten. Laboratory of Technomathematics, Geomathematics Group, Department of Mathematics, University of Kaiserslautern, AGTM-Report 226, 2000
  40. S. Beth, Multiscale Approximation by Vector Radial Basis Functions on the Sphere. PhD thesis, University of Kaiserslautern, Geomathematics Group, Shaker, Aachen, 2000
  41. W. Freeden, O. Glockner, J. Rang, G. Schüler, Von forstmeteorologischen Punktmessungen zu räumlichen aggregierten Daten - Ausgleich von Messlücken durch approximative Bestimmung fehlender forstmeteorologischer Messdaten. Forstwissenschaftliches Centralblatt, (119): 332-349, 2000
  42. W. Freeden, V. Michel, Least-squares Geopotential Approximation by Windowed Fourier Transform and Wavelet Transform. In: Lecture Notes in Earth Sciences. R. Klees and R. Haagmans, editors, (90): 189-241, Springer, 2000
  43. S. Beth, N. Casott, D. Deussen, W. Freeden, B. Witte, Digital Meterological Sensors for the Detection of Atmospheric Turbulence and Their Geodetic Application. In: 3rd German-Turkish Joint Geodetic Days. Altan-Gr�ndig, editors, 91-99, 1999
  44. S. Beth, T. Boos, W. Freeden, N. Casott, D. Deussen, B. Witte, On the Wavelet Determination of Scale Exponents in Energy Spectra and Structure Functions and Their Application to CCD Camera Data. In: Geodesy Beyond 2000, K. P. Schwarz, editor, 21-226, Springer, 1999
  45. W. Freeden, Multiscale Modelling of Spaceborne Geodata. Teubner, Stuttgart, Leipzig, 1999
  46. W. Freeden, F. Schneider, Runge-Walsh Wavelet Approximation for the Helmholtz Equation. J. Math. Anal. Appl. , (235): 533-566, 1999
  47. W. Freeden, O. Glockner, M. Thalhammer, Multiscale Gravitational Field Recovery from GPS-Satellite-to-Satellite Tracking. Studia Geophysica et Geodaetica, (43): 229-264, 1999
  48. W. Freeden, O. Glockner, R. Litzenberger, A General Hilbert Space Approach to Wavelets and its Application in Geopotential Determination. Numer. Funct. Anal. Optimiz. , (20): 853-879, 1999
  49. W. Freeden, O. Glockner, R. Litzenberger, Multiscale Modelling From Geopotential Data. In: Mathematical Research, Vol. 107. Advances in Multivariate Approximation. W. Hau�mann, K. Jetter, M. Reimer, editors, 151-174, Wiley-VCH, 1999
  50. W. Freeden, V. Michel, Constructive Approximation and Numerical Methods in Geodetic Research Today. An Attempt at a Categorization Based on an Uncertainty Principle. Journal of Geodesy, (73): 452-465, 1999
  51. V. Michel, A Multiscale Method for the Gravimetry Problem: Theoretical and Numerical Aspects of Harmonic and Anharmonic Modelling. PhD thesis, University of Kaiserslautern, Geomathematics Group. Shaker, Aachen, 1999
  52. M. Bayer, S. Beth, T. Maier, Wavelet Modelling of Vectorial Components in Gravitational Field Determination. In: Progress in Geodetic Science at GM 98. W. Freeden, editor, 208-217, Shaker, 1998
  53. M. Bayer, S. Beth, W. Freeden, Geophysical Field Modelling by Multiresolution Analysis. Acta Geodaetica et Geophysica Hungarica, (33): 289-319, 1998
  54. S. Beth, M. Viell, Uni- und multivariate Legendre-Wavelets und ihre Anwendung zur Bestimmung des Brechungsindexgradienten. In: Progress in Geodetic Science at GW 98. Shaker, W. Freeden, editor, 25-33, 1998
  55. S. Beth, N. Casott, D. Deussen, W. Freeden, B. Witte, Wavelet Methods in Edge Detection and Refraction. In: Optimal 3-D Measurement Techniques, IV. Gruen and Kahmen, editors, 76-85, Wichmann, 1998
  56. S. Beth, T. Boos, �ber die Rolle von Wavelets in der Bestimmung von Strukturfunktionen und Energiespektren. In: Progress in Geodetic Science at GW 98. W. Freeden, editor, 17-24, Shaker, 1998
  57. S. Beth, W. Freeden, Waveletmethoden zur Auswertung der geod�tischen Refraktion aus CCD-Kamera-Daten. Vermessungswesen und Raumordnung, 7 (60): 382-391, 1998
  58. W. Freeden, The Uncertainty Principle and Its Role in Physical Geodesy. In: Progress in Geodetic Science at GW 98, 225-236, Shaker, 1998
  59. W. Freeden, F. Schneider, An Integrated Wavelet Concept of Physical Geodesy. Journal of Geodesy, (72):259-281, 1998
  60. W. Freeden, F. Schneider, Regularization Wavelets and Multiresolution. Inverse Problems, (14): 225-243, 1998
  61. W. Freeden, F. Schneider, Wavelet Approximation on Closed Surfaces and Their Application to Boundary Value Problems of Potential Theory. Math. Meth. Appl. Sci. , (21): 129-165, 1998
  62. W. Freeden, F. Schreiner, Orthogonal and Non-orthogonal Multiresolution Analysis, Scale Discrete and Exact Fully Discrete Wavelet Transform on the Sphere. Constructive Approximation, (14): 493-515, 1998
  63. W. Freeden, O. Glockner, J. Rang, Spline-Auswertung forstrelevanter Klimadaten in Rheinland-Pfalz. IUFRO die gr�ne Reihe, Tiskarna Plesko, Ljubljana: D. R. Pelz, editor. 118-126, 1998
  64. W. Freeden, O. Glockner, M. Schreiner, Fast Multiscale Evaluation of Geopotentials by Harmonic Wavelets. In: Progress in Geodetic Science at GW 98. W. Freeden, editor, 237-257, Shaker, 1998
  65. W. Freeden, O. Glockner, M. Schreiner, Spherical Panel Clustering and Its Numerical Aspects. Journal of Geodesy, (71): 586-599, 1998
  66. W. Freeden, T. Gervens, M. Schreiner, Constructive Approximation on the Sphere (With Applications to Geomathematics). Oxford Sciences Publication. Clarendon Press, Oxford, 1998
  67. W. Freeden(editor), Progress in Geodetic Science (at GW 98). Shaker, 1998
  68. T. Maier, M. Bayer Multiscale Analysis of the Geomagnetic Field. In: Progress in Geodetic Science at GM 98, W. Freeden, editor, 174-282, Shaker, 1998
  69. V. Michel, A Wavelet Based Method for the Gravimetry Problem. In: Progress in Geodetic Science at GW 98. W. Freeden, editor, 283-298, Shaker, 1998
  70. H. Nutz, Mathematische Methoden zur Berechnung der atmosph�rischen Refraktion aus digitalen Bildaufnahmen. In: Progress in Geodetic Science at GW 98, W. Freeden, editor, 124-133, Shaker, 1998
  71. J. Cui, W. Freeden, Equidistribution on the Sphere. SIAM J. Sci. Stat. Comput. , (18): 595-609, 1997
  72. W. Freeden, F. Schneider, M. Schreiner, Gradiometry - An Inverse Problem in Modern Satellite Geodesy. In: SIAM Symposium on Inverse Problems in Geophysical Applications. H. W. Engl, A. K. Louis, W. Rundell, editors, 179-239, SIAM, 1997
  73. W. Freeden, M. Schreiner, R. Franke, A Survey on Spherical Spline Approximation. Surveys on Mathematics for Industry, (7): 29-85, 1997
  74. W. Freeden, U. Windheuser, Combined Spherical Harmonics and Wavelet Expansion - A Future Concept in Earth´s Gravitational Potential Determination. Applied and Computational Harmonic Analysis (ACHA), (4): 1-37, 1997
  75. F. Schneider, Inverse Problems in Satellite Geodesy and Their Approximation in Satellite Gradiometry. PhD thesis, University of Kaiserslautern, Geomathematics Group, Shaker, Aachen, 1997
  76. M. Schreiner, Locally Supported Kernels for Spherical Spline Interpolation. J. Approx. Theory, (89):172-194, 1997
  77. M. Schreiner, On a New Condition of Strictly Positive Definite Functions on Spheres. Proc. Am. Math. Soc. , (125): 531-539, 1997
  78. R. Brand, W. Freeden, J. Fröhlich, An Adaptive Hierarchical Approximation Method on the Sphere Using Axisymmetric Locally Supported Basis Functions. Computing, (57): 187-212, 1996
  79. W. Freeden, E. Groten, M. Schreiner, M. Söhne, M. Tücks, Deformation Analysis Using Navier Spline Interpolation (With an Application to the Lake Bl�sj� Area). Allgemeine Vermessungs-Nachrichten (AVN), 3(96):120-146, 1996
  80. W. Freeden, U. Windheuser, Spherical Wavelet Transform and its Discretization. Advances in Computational Mathematics, (5):51-94, 1996
  81. V. Michel, Singular Optimal Control - The State of the Art. Laboratory of Technomathematics, Geomathematics Group, Department of Mathematics, University of Kaiserslautern, AGTM-Report 169, 1996
  82. F. Schneider, The Solution of Linear Inverse Problems in Satellite Geodesy by Means of Spherical Spline Approximation. Journal of Geodesy, (71):2-15, 1996
  83. M. Schreiner, A Pyramid Scheme for Spherical Wavelets. Laboratory of Technomathematics, Geomathematics Group, Department of Mathematics, University of Kaiserslautern, AGTM-Report 170, 1996
  84. M. Schreiner, The C-Programmes for "Numerical Methods (Programmes and Implementation)". Laboratory of Technomathematics, Geomathematics Group, Department of Mathematics, University of Kaiserslautern, AGTM-Report 160, 1996
  85. M. Schreiner, Weighted Particles in the Finite Pointset Method. Transport Theory and Statistical Physics, 6(22):793-817, 1996
  86. M. Tücks, Navier-Splines und ihre Anwendung in der Deformationsnanalyse. PhD thesis, University of Kaiserslautern, Geomathematics Group, Shaker, Aachen, 1996
  87. J. Cui, Finite Pointset Methods on the Sphere and Their Application in Physical Geodesy. PhD thesis, University of Kaiserslautern, Geomathematics Group, 1995
  88. W. Freeden, M. Schreiner, New Wavelet Methods for Approximating Harmonic Functions. In:Geodetic Theory Today. International Association of Geodesy Symposia. F. Sanso, editor, (114):112-121, Springer, 1995
  89. W. Freeden, M. Schreiner, Non-orthogonal Expansions on the Sphere. Math. Meth. Appl. Sci. , (18):83-120, 1995
  90. W. Freeden, M. Schreiner, Satellite Gradiometry - A New Approach. In: Geodetic Theory Today. International Association of Geodesy Symposia. F. Sanso, editor, (114):122-139, Springer, 1995
  91. W. Freeden, M. Schreiner, Satellite Gradiometry - from Mathematical and Numerical Point of View. In: A Major STEP for Geodesy, R. Rummel editor, 35-44, 1995
  92. W. Freeden, R. Rummel, F. Sanso, H. S�nkel, Gravitational Field Determination. In: Progress in Industrial Mathematics At the European Consortium of Mathematics in Industry '94. H. Neunzert, editor, 413-454, Wiley and Teubner, 1995
  93. W. Freeden, U. Windheuser, Earth's Gravitational Potential and its MRA Approximation by Harmonic Singular Integrals. ZAMM, SII (75):633-634, 1995
  94. M. Schreiner, The Combination of Spline Approximation and Numerical Filtering in Satellite Gradiometry. ZAMM, (75):665-666, 1995
  95. M. Schreiner, Uniqueness Problems in Satellite Gradiometry. In: Progress in Industrial Mathematics At the European Consortium of Mathematics in Industry 94, H. Neunzert, editor. 480-486, 1995
  96. U. Windheuser, Sphärische Wavelets: Theorie und Anwendung in der Physikalischen Geodäsie. PhD thesis, University of Kaiserslautern, Geomathematics Group, 1995
  97. U. Windheuser, Spherical Wavelet Packets and Its Application in Physical Geodesy. In: H. Neunzert, editor, Progress in Industrial Mathematics At the European Consortium of Mathematics in Industry 94, 487-493, 1995
  98. J. M. Brudowski, Cauchy-Navier Splines. In: Student Proceedings of the 8th Conference of the European Consortium for Mathematics in Industry. H. Neunzert, editor, 17-23, ECMI 94, 1994
  99. J. Cui, Some Numerical Computations in Geodesy. In: Student Proceedings of the 8th Conference of the European Consortium for Mathematics in Industry, 23-27, H. Neunzert, editor, ECMI 94, 1994
  100. W. Freeden, T. Gervens, M. Schreiner, Tensor Spherical Harmonics and Tensor Spherical Splines. Manuscripta Geodaetica, (19):70-100, 1994
  101. F. Schneider, A Hierarchical Spherical Spline Interpolation Method and Its Application to a Given Set of Air Pressure Data. In: Student Proceedings of the 8th Conference of the European Consortium for Mathematics in Industry. 219-233, H. Neunzert, editor, ECMI 94, 1994
  102. M. Schreiner, Tensor Spherical Harmonics and Their Application in Satellite Gradiometry. PhD thesis, University of Kaiserslautern, Geomathematics Group, 1994
  103. W. Freeden, T. Gervens, Vector Spherical Spline Interpolation (Basis Theory and Computational Aspects). Math. Meth. Appl. Sci. , (16):151-183, 1993