Fachbereich Mathematik

Prof. Dr. Willi Freeden - Veröffentlichungen

Books

  1. W. Freeden (Ed.). Progress in Geodetic Science (at GW 98). Shaker, Aachen, 1998.
  2. W. Freeden, T. Gervens, and M. Schreiner. Constructive Approximation on the Sphere (With Application to Geomathematics). Oxford Sciences Publication. Clarendon Press, Oxford University, 1998
  3. W. Freeden.  Multiscale Modelling of Spaceborne Geodata. Teubner Verlag, Stuttgart, Leipzig, 1999.
  4. W. Freeden, V. Michel. Multiscale Potential Theory (With Applications to Geoscience). Birkhäuser Verlag, Boston, Basel, Berlin, 2004.
  5. W. Freeden, M. Schreiner. Spherical Functions of Mathematical Geosciences. A Scalar, Vectorial, and Tensorial Setup. Springer, Heidelberg, 2009.
  6. W. Freeden, Z. Nashed, T. Sonar (Eds.). Handbook of Geomathematics, 1st ed., Springer, Heidelberg 2010.
  7. W. Freeden, Metaharmonic Lattice Point Theory. CRC Press, Taylor & Francis Group, Boca Raton, 2011.
  8. W. Freeden, C. Gerhards. Geomathematically Oriented Potential Theory. CRC Press, Taylor & Francis Group, Boca Raton, 2013.
  9. W. Freeden, M. Gutting. Special Functions of Mathematical (Geo-)Physics. Birkhäuser, Basel, 2013.
  10. M. Bauer, W. Freeden, H. Jacobi, T. Neu (Herausgeber). Handbuch Tiefe Geothermie, Springer Spektrum, Springer, Heidelberg, 2014.
  11. W. Freeden, Z. Nashed, T. Sonar (Eds.). Handbook of Geomathematics. 2nd ed., Springer, Heidelberg, 2015.
  12. W. Freeden, R. Rummel (Herausgeber). Photogrammetrie und Fernerkundung (C. Heipke, Ed.), Springer Spektrum, Heidelberg, 2017.
  13. W. Freeden, R. Rummel (Herausgeber). Erdmessung und Satellitengeodäsie. (Rummel, Ed.), Springer Spektrum, Heidelberg, 2017.
  14. M. Bauer, W. Freeden, H. Jacobi, T. Neu (Herausgeber). Handbuch Oberflächennahe Geothermie, Springer Spektrum, Heidelberg, 2018.
  15. W. Freeden, M.Z. Nashed (Eds.). Handbook of Mathematical Geodesy, Geosystems Mathematics, Birkhäuser, Springer International Publishing AG, Basel, 2018.
  16. W. Freeden, M. Gutting. Integration and Cubature Methods. CRC Press, Taylor and Francis Group, Boca Raton, 2018.
  17. W. Freeden, M.Z. Nashed, M. Schreiner. Spherical Sampling, Geosystems Mathematics, Birkhäuser, Springer International Publishing AG, Basel, 2018.

Papers

  1. W. Freeden. Über eine Verallgemeinerung der Hardy-Landauschen Identität. Manuscr. Math., (24):205-216, 1978. 
  2. W. Freeden. Über gewichtete Gitterpunktsummen in kreisförmigen Bereichen. Mitt. Math. Sem. Giessen, (132):1-22, 1978. 
  3. W. Freeden. An Application of a Summation Formula to Numerical Computation of Integrals Over a Sphere. Bull. Géod., (52):165-175, 1978. 
  4. W. Freeden. Stokes´ Boundary Value Problem of Physical Geodesy and its Numerical Computation. Mitt. Inst. Theor. Geod. Bonn, Heft 56, 1978. 
  5. W. Freeden. Ein Beitrag zur näherungsweisen Berechnung von Integralen über die Vollkugel. ZAMM, (58): T 413-414, 1978. 
  6. W. Freeden. Über eine Klasse von Integralformeln der Mathematischen Geodäsie. Report Nr. 27, Geod. Inst. RWTH Aachen, 1979. 
  7. W. Freeden. Über ein Verfahren zur Bestimmung des Gravitationspotentials im Äusseren der (Erd)kugel. ZAMM (59):57-59, 1979. 
  8. W. Freeden. On the Approximation of External Gravitational Potential with Closed Systems of (Trial) Functions. Bull. Géod., (54):1-20, 1980. 
  9. W. Freeden. Über parameterabhängige Integralformeln der Sturm-Liouvilleschen Theorie. Mitt. Math. Sem. Giessen, (145):75-110, 1980.
  10. W. Freeden. On Integral Formulas of the (Unit) Sphere and Their Application to Numerical Computation of Integrals. Computing, (25):131-146, 1980.
  11. W. Freeden. Über die Gaußsche Methode zur angenäherten Berechnung von Integralen. Math. Meth. Appl. Sci., (2):397-409, 1980. 
  12. W. Freeden and H. Kersten. Best-Approximation Integration Formulas for Boundary Surfaces of Star-Shaped Bodies. Boll. Geod. Sci. Aff., (1):37-48, 1980. 
  13. W. Freeden and H. Kersten. The Geodetic Boundary Value Problem Using the Known Surface of the Earth. Report No. 29, Geod. Inst. RWTH Aachen, 1980. 
  14. C. Müller and W. Freeden. Multidimensional Euler and Poisson Summation Formulas. Resultate der Math., (3):33-63, 1980. 
  15. W. Freeden. Eine Klasse von Kubaturformeln der Einheitssphäre. Zeitschrift für Vermessungswesen (ZfV), (106):200-210, 1981. 
  16. W. Freeden. On Spherical Spline Interpolation and Approximation. Math. Meth. Appl. Sci., (3):551-575, 1981. 
  17. W. Freeden. A Class of Multidimensional Periodic Splines. Manuscr. Math., (35):371-386, 1981. 
  18. W. Freeden. On Approximation by Harmonic Splines. Manuscr. Geod., (6):193-244, 1981. 
  19. W. Freeden and H. Kersten. A Constructive Approximation Theorem for the Oblique Derivative Problem in Potential Theory. Math. Meth. Appl. Sci., (3):104-114, 1981. 
  20. W. Freeden. Interpolation and Best Approximation by Harmonic Spline Functions. Boll. Geod. Sci. Aff., (1):105-120, 1982. 
  21. W. Freeden. Multidimensional Euler Summation Formulas and Numerical Cubature. ISNM, (57):77-88, 1982. 
  22. W. Freeden. On Spline Methods in Geodetic Approximation Problems. Math. Meth. Appl. Sci., (4):382-396, 1982. 
  23. W. Freeden. On the Permanence Property in Spherical Spline Interpolation. Report Nr. 341, The Ohio State University, Department of Geodetic Science and Surveying. Columbus, 1982. 
  24. W. Freeden and H. Kersten. An Extended Version of Runge´s Theorem. Manuscr. Geod., (7):267-278, 1982. 
  25. W. Freeden and R. Reuter. Remainder Terms in Numerical Integration Formulas of the Sphere. ISNM, (61):151-170, 1982. 
  26. W. Freeden and B. Witte. A Combined (Spline-) Interpolation and Smoothing Method for the Determination of the External Gravitational Potential from Heterogeneous Data. Bull. Géod., (56):53-62, 1982. 
  27. W. Freeden. Least Squares Approximation by Linear Combinations of (Multi-)Poles. Report No. 344, The Ohio State University, Department of Geodetic Science and Surveying, Columbus, 1983. 
  28. W. Freeden and R. Reuter. Spherical Harmonic Splines: Theoretical and Computational Aspects. Meth. u. Verf. d. Math. Physik, (27):79-103,1983. 
  29. W. Freeden. Spherical Spline Interpolation: Basic Theory and Computational Aspects. J. Comput. Appl. Math., (11):367-375, 1984. 
  30. W. Freeden. Ein Konvergenzsatz in sphärischer Spline-Interpolation. Zeitschrift für Vermessungswesen (ZfV), (109):569-576, 1984. 
  31. W. Freeden and R. Reuter. Exact Computation of Spherical Harmonics. Computing, (32):365-378, 1984. 
  32. W. Freeden. Basis Systems and Their Role in the Approximation of the Earth´s Gravitational Field. Gerlands Beitr. Geophysik, (94):19-34, 1985. 
  33. W. Freeden. Computation of Spherical Harmonics and Approximation by Spherical Harmonic Expansions. Report No. 362, The Ohio State University, Department of Geodetic Science and Surveying, Columbus, 1985. 
  34. W. Freeden. Ein Beitrag zur numerischen Berechnung des Dirichletschen Außenraum-problems der Potentialtheorie mittels harmonischer Splines. ZAMM, (65):260-262, 1985. 
  35. W. Freeden and P. Hermann. Some Reflections on Multidimensional Euler and Poisson Summation Formulas. ISNM, (75):166-179, 1985. 
  36. W. Freeden and P. Hermann. Uniform Approximation by Spherical Spline Interpolation. Math. Z., (193):265-275, 1986. 
  37. W. Freeden. Harmonic Splines For Solving Boundary Value Problems of Potential Theory. J.C. Mason and M.G. Cox, Eds., Algorithms for Approximation, (10): 507-529, 1987. 
  38. W. Freeden. A Spline Interpolation Method for Solving Boundary Value Problems of Potential Theory from Discretely Given Data. Numer. Meth. Partial Diff. Equations, (3):375-398, 1987. 
  39. W. Freeden. Metaharmonic Splines for Solving the Exterior Dirichlet Problem of the Helmholtz Equation.  F. Utreras, C.K. Chui, L.L. Schumaker, Eds., Topics in Approximation Theory, 99-110. Academic Press, 1987. 
  40. W. Freeden and J. Fleck. Numerical Integration by Means of Adapted Euler Summation Formulas. Numer. Math., (51):37-64, 1987. 
  41. W. Freeden and H.-D. Ohlenbusch. The Electrostatic Potential of Spherical Polyelectrolytes in Aqueous Solution. Math. Meth. Appl. Sci., (9):324-334, 1987. 
  42. W. Freeden. Interpolation by Multidimensional Periodic Splines. J. Approx. Theory, (55):104-117, 1988. 
  43. W. Freeden and T. Gervens. Vector Spherical Spline Interpolation. ISNM, (90):157-171, 1989. 
  44. W. Freeden. Some Applications of Approximation Theory to the First Boundary Value Problem of Elastostatics. ISNM, (94):121-129, 1990. 
  45. W. Freeden. Spherical Spline Approximation and its Application in Physical Geodesy. A. Vogel, C.O. Ofoagbu, R. Gorenflo, and B. Ursin, Eds., Geophysical Data Inversion Methods and Applications. Vieweg Publication, 79-104, 1990. 
  46. W. Freeden and J.C. Mason. Uniform Piecewise Approximation on the Sphere. Algorithms for Approximation II, M.G. Cox, J.C. Mason, Eds., 320-333. Chapman and Hall Mathematics, 1990. 
  47. W. Freeden and R. Reuter. An Efficient Algorithm for the Generation of Homogeneous Harmonic Polynomials. Scientific Software Systems. Chapman and Hall Mathematics, M.G. Cox, J.C. Mason, Eds., 166-180, 1990. 
  48. W. Freeden and R. Reuter. A Constructive Method for Solving the Displacement Boundary Value Problem of Elastostatics by Use of Global Basis Systems. Math. Meth. Appl. Sci., (12):105-128, 1990. 
  49. W. Freeden, T. Gervens, and J.C. Mason. A Minimum Norm Interpolation Method for Determining the Displacement Field of a Homogeneous Isotropic Elastic Body from Discrete Data. IMA Journal of Applied Mathematics, (44):55-76, 1990. 
  50. J. Brudowsky, W. Freeden, and M. Tücks. Deformation Analysis of the Earth by a Constructive Interpolation Model. F. Hodnett, Ed. Proceedings of the 6th European Conference on Mathematics in Industry. 87-90, 1992. 
  51. J. Cui, W. Freeden, and B. Witte. Gleichmäßige Approximation mittels sphärischer Finite Elemente und ihre Anwendung in der Geodäsie. Zeitschrift für Vermessungswesen (ZfV), (117):266-278, 1992. 
  52. W. Freeden and T. Gervens. Vector Spherical Spline Interpolation (Basis Theory and Computational Aspects). Math. Meth. Appl. Sci., (16):151-183, 1993. 
  53. W. Freeden, T. Gervens, and M. Schreiner. Tensor Spherical Harmonics and Tensor Spherical Splines. Manuscr. Geod., (19):70-100, 1994. 
  54. W. Freeden and M. Schreiner. Satellite Gradiometry – from Mathematical and Numerical Point of View. A Major STEP for Geodesy, Report of the STEP Working Group, Rummel, R, Schwintzer, P., Eds., 35-44, 1994. 
  55. W. Freeden, R. Rummel, F. Sanso, and H. Sünkel. Gravitational Field Determination., Progress in Industrial Mathematics At the European Consortium of Mathematics in Industry ’94, H. Neunzert, Ed., 413-454. Wiley and Teubner, 1995. 
  56. W. Freeden and M. Schreiner. New Wavelet Methods for Approximating Harmonic Functions. Geodetic Theory Today, (114):112-121. International Association of Geodesy (IAG) Symposia, F. Sanso, Ed., Springer, Heidelberg, 1995. 
  57. W. Freeden and M. Schreiner. Satellite Gradiometry – A New Approach. Geodetic Theory Today, F. Sanso, Ed., (114):122-139. International Association of Geodesy Symposia, Springer, Heidelberg, 1995. 
  58. W. Freeden and U. Windheuser. Earth’s Gravitational Potential and its MRA Approximation by Harmonic Singular Integrals. ZAMM, SII (75):633-634, 1995. 
  59. W. Freeden, M. Schreiner. Non-Orthogonal Expansion on the Sphere. Math. Meth. Appl. Sci., (18): 83-120, 1995. 
  60. R. Brand, W. Freeden, and J. Fröhlich. An Adaptive Hierarchical Approximation Method on the Sphere Using Axisymmetric Locally Supported Basis Functions. Computing, (57):187-212, 1996. 
  61. W. Freeden, E. Groten, M. Schreiner, M. Söhne, and M. Tücks. Deformation Analysis Using Navier Spline Interpolation (With an Application to the Lake BlåsjØ Area). Allgemeine Vermessungs-Nachrichten, AVN, 3(96):120-146, 1996. 
  62. W. Freeden and U. Windheuser. Spherical Wavelet Transform and its Discretization. Advances in Computational Mathematics, (5):51-94, 1996. 
  63. J. Cui and W. Freeden. Equidistribution on the Sphere. SIAM J. Sci. Stat. Comput., (18): 595-609, 1997. 
  64. W. Freeden, F. Schneider, and M. Schreiner. Gradiometry – An Inverse Problem in Modern Satellite Geodesy. GAMM-SIAM Symposium on Inverse Problems in Geophysical Applications. Engl, Louis, Rundell, Eds., 179-239, 1997. 
  65. W. Freeden, M. Schreiner, and R. Franke. A Survey on Spherical Spline Approximation. Surveys on Mathematics for Industry, (7):29-85, 1997. 
  66. W. Freeden and 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. 
  67. M. Bayer, S. Beth, and W. Freeden. Geophysical Field Modelling by Multiresolution Analysis. Acta Geodaetica et Geophysica Hungarica, (33):289-319, 1998. 
  68. S. Beth, N. Casott, D. Deussen, W. Freeden, and B. Witte. Wavelet Methods in Edge Detection and Refraction. Optimal 3-D Measurement Techniques, IV. Gruen and Kahmen, Eds., Wichmann, 76-85, 1998. 
  69. S. Beth and W. Freeden. Waveletmethoden zur Auswertung der geodätischen Refraktion aus CCD-Kamera-Daten. Vermessungswesen und Raumordnung, (60): 382-391, 1998. 
  70. W. Freeden, (Ed.). Progress in Geodetic Science (at GW 98). Shaker, Aachen, 1998.
  71. W. Freeden. The Uncertainty Principle and Its Role in Physical Geodesy. Progress in Geodetic Science (at GW 98), 225-236, 1998. 
  72. W. Freeden, O. Glockner, and M. Schreiner. Spherical Panel Clustering and Its Numerical Aspects. Journal of Geodesy, (71):586-599, 1998. 
  73. W. Freeden, O. Glockner, and M. Schreiner. Fast Multiscale Evaluation of Geopotentials by Harmonic Wavelets. Progress in Geodetic Science (at GW 98), W. Freeden, Ed., 237-257, 1998. 
  74. W. Freeden and 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. 
  75. W. Freeden and F. Schneider. An Integrated Wavelet Concept of Physical Geodesy. Journal of Geodesy, (72):259-281, 1998. 
  76. W. Freeden and F. Schneider. Regularization Wavelets and Multiresolution. Inverse Problems, (14):225-243, 1998. 
  77. W. Freeden and 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. 
  78. W. Freeden, O. Glockner und J. Rang. Spline-Auswertung forstrelevanter Klimadaten in Rheinland-Pfalz. IUFRO die grüne Reihe, Tiskarna Plesko, Ljubljana: D.R. Pelz, Ed., 118-126, 1998. 
  79. W. Freeden, T. Gervens, and M. Schreiner. Constructive Approximation on the Sphere (With Application to Geomathematics). Oxford Sciences Pubblication. Clarendon Press, Oxford University, 1998.
  80. S. Beth, T. Boos, W. Freeden, N. Casott, D. Deussen, and B. Witte. On the Wavelet Determination of Scale Exponents in Energy Spectra and Structure Functions and Their Application to CCD Camera Data. Geodesy Beyond 2000, K.P. Schwarz, Ed., Springer, Heidelberg,  221-226, 1999. 
  81. S. Beth, N. Casott, D. Deussen, W. Freeden, and B. Witte. Digital Meterological Sensors for the Detection of Atmospheric Turbulence and Their Geodetic Application, 3rd Ger-man-Turkish Joint Geodetic Days. Altan-Gründig, Ed., 91-99, 1999. 
  82. W. Freeden, Multiscale Modelling of Spaceborne Geodata. Teubner Verlag, Stuttgart, Leipzig, 1999.
  83. W. Freeden, O. Glockner, and M. Thalhammer. Multiscale Gravitational Field Recovery from GPS-Satellite-to-Satellite Tracking. Studia Geophysica et Geodaetica, (43):229-264, 1999. 
  84. W. Freeden, O. Glockner, and R. Litzenberger. Multiscale Modelling From Geopotential Data. Mathematical Research, Vol. 107. Advances in Multivariate Approximation“, W. Haußmann, K. Jetter, and M. Reimer, Eds., Wiley-VCH, 151-174, (1999). 
  85. W. Freeden, O. Glockner, and R. Litzenberger. A General Hilbert Space Approach to Wavelets and its Application in Geopotential Determination. Numer. Funct. Anal. Optimiz., (20):853-879, 1999. 
  86. W. Freeden and 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. 
  87. W. Freeden and F. Schneider. Runge-Walsh Wavelet Approximation for the Helmholtz Equation. J. Math. Anal. Appl., (235):533-566, 1999. 
  88. W. Freeden and V. Michel. Least-Squares Geopotential Approximation by Windowed Fourier Transform and Wavelet Transform.  Springer Lecture Notes in Earth Sciences, R. Klees and R. Haagmans, Eds., (90):189-241, 2000. 
  89. W. Freeden, O. Glockner, J. Rang und G. Schüler. Von forstmeteorologischen Punktmessungen zu räumlichen aggregierten Daten – Ausgleich von Meßlücken durch approximative Bestimmung fehlender forstmeteorologischer Meßdaten. Forstwissen-schaftliches Centralblatt, (119):332-349, 2000. 
  90. W. Freeden, V. Michel, and M. Stenger. Multiscale Signal-to-Noise Thresholding. Acta Geodaetica et Geophysica Hungarica, (36):55-86, 2001. 
  91. W. Freeden. A General Construction Principle of Wavelets. ESO (European Southern Observatory) Astrophysics Symposia, A.J. Banday, S. Zaroubi, M. Bartelmann Eds., 53-70, Springer 2001. 
  92. M. Bayer, W. Freeden, and T. Maier. A Vector Wavelet Approach in Iono- and Magnetospheric Geomagnetic Satellite Data. Journal of Atmospheric and Solar-Terrestrial Physics, (63):581-597, 2001. 
  93. W. Freeden and S. Pereverzev. Spherical Tikhonov Regularization Wavelets in Satellite Gravity Gradiometry with Random Noise. Journal of Geodesy , (74):730-736, 2001. 
  94. W. Freeden and V. Michel. Basic Aspects of Geopotential Field Approximation From Satellite-to-Satellite Tracking Data. Math. Meth. Appl. Sci., (24):827-846, 2001. 
  95. W. Freeden. Multiscale Modelling of GOCE-DATA-Products, ESA-Proceedings of the “International GOCE User Workshop”, ESTEC, Noordwijk, ESA WPP-188, 111-126, 2001. 
  96. W. Freeden and 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. 
  97. W. Freeden and T. Maier. On Multiscale Denoising of Spherical Functions: Basic Theory and Numerical Aspects. Electronic Transactions on Numerical Analysis (ETNA), (14):56-78, 2002. 
  98. W. Freeden, V. Michel, and 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. 
  99. W. Freeden, T. Maier, and S. Zimmermann. A Survey on Wavelet Methods for (Geo)Applications. Revista Matemática Complutense (16):277-310, 2003. 
  100. W. Freeden and C. Mayer. Wavelets Generated by Layer Potentials. Applied and Computational Harmonic Analysis (ACHA), (14): 195-237, 2003. 
  101. W. Freeden, E. Groten, V. Michel, and A. Kaboodvand. Geopotential Reconstruction, Decomposition, Fast Computation, and Noise Cancellation by Harmonic Wavelets. Studia Geophysica et Geodaetica, (47):37-72, 2003. 
  102. W. Freeden, T. Maier. Spectral and Multiscale Signal-to-Noise Thresholding of Spherical Vector Fields and Their Application to Earth’s Magnetic Field Determination. Comput. Geosciences, (7):215-250, 2003 .
  103. W. Freeden and T. Maier. SST-Regularisierung durch Multiresolutionstechniken auf der Basis von CHAMP-Daten. Allgemeine Vermessungsnachrichten, AVN, (5):162-175, 2003. 
  104. W. Freeden, C. Mayer, and M. Schreiner. Tree Algorithms in Wavelet Approximation by Helmholtz Potential Operators. Numer. Funct. Anal. and Optim., (24):747-782, 2003. 
  105. M.K. Abeyratne, W. Freeden, and C. Mayer. Multiscale Deformation Analysis by Cauchy-Navier Wavelets. Journal of Applied Mathematics, (12):605-645, 2003. 
  106. W. Freeden and  C. Mayer. Multiresolution Data Analysis – Numerical Realization by Use of Domain Decomposition Methods and Fast Multipole Techniques. Proceedings of the “Hotine-Marussi Symposium on Mathematical Geodesy”, Matera 2003, (27):57-68, 2004. 
  107. W. Freeden and  C. Mayer. Multiscale Solution of Oblique Boundary-Value Problems bei Layer Potentials. Proceedings of the “Hotine-Marussi Symposium on Mathematical Geodesy”, Matera 2003, (27):90-98, 2004. 
  108. W. Freeden, D. Michel and V. Michel: Multiscale Modeling of Ocean Circulation. In: Proceedings of the 2nd International GOCE User Workshop, Frascati, March 2004. 
  109. M. J. Fengler, W. Freeden, and M. Gutting. Multiscale Modeling from EIGEN-1S, EIGEN-2, EIGEN-GRACE01S, GGM01, UCPH2002_0.5, EGM96. Proceedings of the 2nd  International GOCE User Workshop, Frascati, March 2004. 
  110. M.J. Fengler, W. Freeden, and 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 J. Internat., (157):499-514, 2004. 
  111. W. Freeden and 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. 
  112. W. Freeden and V. Michel, Multiscale Potential Theory (With Applications to Geoscience). Birkhäuser Verlag, Boston, Basel, Berlin, 2004.
  113. M. Fengler, W. Freeden and M. Gutting. Darstellung des Gravitationsfelds und seiner Funktionale mit Multiskalentechniken. Zeitschrift für Geodäsie, Geoinformation und Landmanagement (ZFV), (5):323-334, 2004. 
  114. M. Fengler, W. Freeden, and M. Gutting. Multiscale Modeling from EIGEN-1S, EIGEN-2, EIGEN-GRACE01S, UCPH2002_0.5, EGM96. Proceedings of the Second CHAMP Science Meeting, Potsdam, C. Reigber, H. Lühr, P. Schwintzer, J. Wickert, Eds., 145-150, 2004 
  115.  M. Fengler, W. Freeden, and J. Kusche. Multiscale Geopotential Solutions from CHAMP Orbits and Accelerometry. Proceedings of the Second CHAMP Science Meeting, Potsdam, C. Reigber, H. Lühr, P. Schwintzer, J. Wickert, Eds., 139-144, 2004. 
  116. W. Freeden, S. Gramsch, A. Luther, and G. Schüler. Von forstmeteorologischen Punktmessungen zur räumlichen aggregierten Daten – Ausgleich von Messlücken durch approximative Bestimmung fehlender forstmeteorologischer Messdaten. Forstarchiv, (76):44-53, 2005. 
  117. W. Freeden and V. Michel. Wavelet Deformation Analysis for Spherical Bodies. International Journal of Wavelets, Multiresolution, and Information Proceedings IJWMIP, (3):523-558, 2005. 
  118. M. Fengler and 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. 
  119. W. Freeden and M. Schreiner. Spaceborne Gravitational Field Determination by Means of Locally Supported Wavelets. Journal of Geodesy, (79):431-446, 2005. 
  120. W. Freeden, D. Michel, and V. Michel. Local Multiscale Approximations of Geostrophic Flow: Theoretical Background and Aspects of Scientific Computing. Marine Geodesy, (28):313-329, 2005. 
  121. F. Bauer, W. Freeden, and M. Schreiner. A Tree Algorithm for Isotropic Finite Elements on the Sphere. Numer. Funct. Anal. and Optimiz., (27):1-24, 2006. 
  122. W. Freeden and M. Schreiner. Local Multiscale Modelling of Geoidal Undulations from Deflections of the Vertical. Journal of Geodesy, (78):641-651, 2006. 
  123. W. Freeden and C. Mayer. Multiscale Solution for the Molodensky Problem on Regular Telluroidal Surfaces. Acta Geodaetica et Geophysica Hungarica, (41):55-86, 2006. 
  124. W. Freeden and M. Schreiner. Multiresolution Analysis by Spherical Up Functions. Constructive Approximation, (23):241-259, 2006. 
  125. M.J. Fengler, W. Freeden and M. Gutting. The Spherical Bernstein Wavelet. International Journal of Pure and Applied Mathematics IJPAM, (31):209-230, 2006. 
  126. M. Fengler, W. Freeden, A. Kohlhaas, V. Michel, and 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.
  127. W. Freeden and C. Mayer. Modeling Tangential Vector Fields on Regular Surfaces by Means of Mie Potentials, International Journal of Wavelets, Multiresolution and Information Processing, IJWMIP, (5):417-449, 2007. 
  128. W. Freeden and M. Schreiner. Biorthogonal Locally Supported Wavelets on the Sphere Based on Zonal Functions. Journal of Fourier Analysis and Applications JFAA, (13):693-709, 2007. 
  129. 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):775-791, 2007.
  130. T. Fehlinger, W. Freeden, C. Mayer, and M. Schreiner. On the Local Multiscale Determination of the Earth's Disturbing Potential From Discrete Deflections of the Vertical, Computational Geosciences, (12):473-490, 2008.
  131. Freeden and M. Gutting. On the Completeness and Closure of Vector and Tensor Spherical Harmonics, Integral Transforms and Special Functions, (19):713-734, 2008. 
  132. 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. 
  133. 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. 
  134. W. Freeden and K. Wolf. Klassische Erdschwerefeldbestimmung aus der Sicht moderner Geomathematik, Mathematisch Semesterberichte, (56):53-78, 2009. 
  135. W. Freeden. Geomathematik, was ist das überhaupt? Jahresber. Dtsch. Math. Ver., (111):125-152, 2009. 
  136. W. Freeden and M. Schreiner, Spherical Functions of Mathematical Geosciences. A Scalar, Vectorial, and Tensorial Setup. Springer, Heidelberg, 2009.
  137. W. Freeden and C. Gerhards. Poloidal and Toroidal Field Modeling in Terms of Locally Supported Vector Wavelets, Mathematical Geosciences,  (42):818-838, 2010.
  138. W. Freeden, Z. Nashed, and T. Sonar, Eds., Handbook of Geomathematics, 1st ed., Springer, Heidelberg 2010.
  139. W. Freeden and M. Schreiner. Spherical Functions in Mathematical Geosciences - An Attempt of Categorization. Handbook of Geomathematics, W. Freeden, Z. Nashed, T. Sonar Eds., Vol.1, 269-302 Springer, Heidelberg 2010.
  140. W. Freeden and  M. Schreiner. Satellite Gravity Gradiometry (SGG) - From Scalar to Tensorial Solution, Handbook of Geomathematics, W. Freeden, Z. Nashed, T. Sonar, Eds.,Vol. 2, 925-948, Springer, Heidelberg 2010. 
  141. W. Freeden. Geomathematics: Its Role, Its Aim, and Its Potential.  Handbook of Geomathematics,  W. Freeden, Z. Nashed, T. Sonar Eds., (1):3-42, Springer, Heidelberg (2010).
  142. W. Freeden. GEM - International Journal of Geomathematics (1):1-3, 2010. 
  143. W. Freeden, H. Nutz, and K. Wolf. Time-Space Multiscale Analysis and Its Application to GRACE and Hydrology Data. System Earth via Geodetic-Geophysical Space Techniques, F.M. Flechtner, Th. Gruber, A. Güntner, M. Mandea, M. Rothacher, T. Schöne, and J. Wickert, Eds., Springer, 387-397, 2010.
  144. W. Freeden and H. Nutz. Satellite Gravity Gradiometry as Tensorial Inverse Problem, GEM – Int. J. of Geomath. (2):177-218, 2011.
  145. C. Blick and W. Freeden. Spherical Spline Application to Radio Occultation Data, J. Geod. Sci.,(1): 379-396, 2011.
  146. W. Freeden, I. Ostermann, and M. Augustin. Mathematik als Schlüsseltechnologie in der Geothermie, Geothermische Energie, (70):20-24, 2011. 
  147. M. Koster, H. Nutz, G. Wagner, and W. Freeden. Inverse Methods for Fatigue Assessment in the VCHF-Regime, VHCF 5-Proceedings, 497-502, Berlin 2011.
  148. W. Freeden, Metaharmonic Lattice Point Theory. CRC Press, Taylor & Francis Group, Boca Raton, 2011.
  149. M. Augustin, W. Freeden, C. Gerhards, S. Möhringer und I. Ostermann. Mathematische Methoden in der Geothermie, Math. Semesterber., (59):1-28, 2012.
  150. M. Koster, H. Nutz, W. Freeden, and D. Eifler. Measuring Techniques for the Very High Cycle Fatigue Behavior of High Strength Steel at Ultrasonic Frequencies, Int. J. Math. Res., (103):106-112, 2012.
  151. W. Freeden and C. Blick, Signal Decorrelation by Means of Multiscale Methods, World of Mining, (65):304-317, 2013.
  152. W. Freeden and I. Ostermann. Integration on Three-Dimensional Regular Regions Based on (Modified) Euler Summation. Numeric. Funct. Analysis and Optimization, (34):613-634, 2013.
  153. W. Freeden and M. Gutting, Special Functions of Mathematical (Geo-)Physics. Birkhäuser, Basel, 2013.
  154. W. Freeden and C. Gerhards, Geomathematically Oriented Potential Theory. CRC Press, Taylor & Francis Group, Boca Raton, 2013.
  155. M. Bauer, W. Freeden, H. Jacobi, and T. Neu (Herausgeber). Handbuch Tiefe Geothermie, Prospektion, Exploration, Realisierung, Nutzung, Springer Spektrum, Heidelberg 2014.
  156. M. Bauer, W. Freeden, H. Jacobi, and T. Neu. Handbuch Tiefe Geothermie, Ausblick: Herausforderungen, Chancen und Perspektiven, 835-842, Springer Spektrum, Berlin, Heidelberg 2014.
  157.  W. Freeden und H. Nutz. Mathematik als Schlüsseltechnologie zum Verständnis des Systems “Tiefe Geothermie”, Jahresber. Dtsch. Math.Ver., (117):45-84, 2014.
  158. W. Freeden und H. Nutz. Mathematische Methoden. Handbuch Tiefe Geothermie, M. Bauer, W. Freeden, H. Jacobi, and T. Neu, Herausgeber, 125-222, Springer, Spektrum, Berlin. Heidelberg, 2014.
  159. W. Freeden, M.Z. Nashed, and T. Sonar, Eds. Handbook of Geomathematics, 2nd ed., Springer, Reference, Heidelberg, New York, Dordrecht, London, 2015
  160. S. Eberle, W. Freeden, and R. Matthes. Forest Fire Spreading, Handbook of Geomathematics, 2nd ed., W. Freeden, Z. Nashed, and T. Sonar, Eds., (2):1349-1385, Springer, Berlin, Heidelberg, 2015.
  161. W. Freeden. Geomathematics: Its Role, Its Aim, and Its Potential, Handbook of Geomathematics, 2nd ed., W. Freeden, Z. Nashed, and T. Sonar, Eds., (1):3-78, , Springer, Reference, Heidelberg, New York, Dordrecht, London, 2015.
  162. M. Augustin, M. Bauer, C. Blick, S. Eberle, W. Freeden, C. Gerhards, M. Ilyasov, R. Kahnt, M. Klug, S. Möhringer, T. Neu, H. Nutz, I. Ostermann, and A. Punzi. Modeling Deep Geothermal Reservoirs: Recent Advances and Future Perspectives. In: Handbook of Geomathematics, 2nd ed., W. Freeden, Z. Nashed, and T. Sonar, Eds., (2):1547-1629, Springer, Reference, Heidelberg, New York, Dordrecht, London, 2015.
  163. W. Freeden and C. Mayer. Stokes Problems, Layer Potentials and Regularizations, and Multiscale Applications. Handbook of Geomathematics, 2nd ed., W. Freeden, Z. Nashed, and T. Sonar, Eds., (2):1155-1253, , Springer, Reference, Heidelberg, New York, Dordrecht, London, 2015.
  164. W. Freeden and M. Schreiner. Special Functions in Mathematical Geosciences - An Attempt at a Categorization, Handbook of Geomathematics, 2nd ed., W. Freeden, Z. Nashed, and T. Sonar, Eds., (3):2455-2482, Springer, Reference, Heidelberg, New York, Dordrecht, London, 2015.
  165. W. Freeden and M. Schreiner. Satellite Gravity Gradiometry (SGG) - From Scalar to Tensorial Solution. Handbook of Geomathematics, 2nd ed., W. Freeden, Z. Nashed, and T. Sonar, Eds., (1): 339-379, Springer, Reference, Heidelberg, New York, Dordrecht, London, 2015.
  166. W. Freeden and M. Z. Nashed. Multi-Variate Hardy-Type Lattice Point Summation and Shannon-Type Sampling, GEM - Int. J. on Geomath. (6):163-249, 2015.
  167. C. Blick, W. Freeden, and H. Nutz, Gesteigerte Investmentsicherheit durch geomathematische Innovation. World of Mining, Sonderdruck, 2015.
  168. C. Blick, S. Eberle, and W. Freeden. Radio Occultation: Principles and Modeling. Encyclopedia of Geodesy, E. Grafarend, Ed., DOI 10.1007/978-3-319-02370-0_122-1, Springer, Dordrecht, 2015.
  169. M. Augustin and W. Freeden. A Survey on Classical Boundary Value Problems in Physical Geodesy. In: Encyclopedia of Geodesy, E. Grafarend, Ed., DOI 10.1007/978-3-319-02370-0_117-1, Springer, Dordrecht, 2016.
  170. W. Freeden, C. Gerhards, H. Nutz, and M. Schreiner. Disturbing Potential from Deflections of the Vertical: From Globally Reflected Surface Gradient Equation to Locally Oriented Multiscale Modeling.  Encyclopedia of Geodesy, E. Grafarend, Ed., DOI 10.1007/978-3-319-02370-0_126-1, Springer, Dordrecht, 2016.
  171. M. Augustin, C. Blick, S. Eberle, and W. Freeden. Disturbing Potential from Gravity Anomalies: From Globally Reflected Stokes Boundary Value Problem to Locally Oriented Multiscale Modeling. Encyclopedia of Geodesy, E. Grafarend, Ed., DOI 10.1007/978-3-319-02370-0_124-1 Springer, Dordrecht, 2016.
  172. M. Augustin and W. Freeden. Geodetically Relevant Finite Pointset-Method (FPM). In: Encyclopedia of Geodesy, E. Grafarend, Ed., DOI 10.1007/978-3-319-02370-0_118-1, Springer, Dordrecht, 2016.
  173. W. Freeden, C. Gerhards, and H. Nutz. Modeling Oceanic Flow: From Global Navier-Stokes to Local Geostropic Wavelet Modeling.  Encyclopedia of Geodesy,  E. Grafarend, Ed., DOI 10.1007/978-3-319-02370-0_127-1, Springer, Dordrecht, 2016.
  174. M. Augustin and W. Freeden. A Survey on Classical Boundary Value Problems in Physical Geodesy. Encyclopedia of Geodesy, E. Grafarend, Ed., DOI 10.1007/978-3-319-02370-0_117-1, Springer, Dordrecht, 2016.
  175. W. Freeden and C. Heine. GEM: International Journal on Geomathematics. GEM -Int. J. Geomath., (8):1-7, 2017.
  176. C. Blick, W. Freeden, and H. Nutz. Feature Extraction of Geological Signatures by Multiscale Gravimetry. GEM-Int. J. Geomath., (8):57-83, 2017.
  177. W. Freeden and H. Nutz. On the Solution of the Oblique Derivative Problem by Constructive Runge-Walsh Concepts. Recent Application of Harmonic Analysis, I. Pesenson, Q.T. Le Gia, A. Mayeli, H. Mhaskar, and D.-X. Zhou, Eds., Birkhäuser, Boston,  753-794, 2017.
  178. W. Freeden und R. Rummel (Herausgeber). Photogrammetrie und Fernerkundung, C. Heipke, Ed., Springer Spektrum, Heidelberg, 2017.
  179. W. Freeden und R. Rummel (Herausgeber). Erdmessung und Satellitengeodäsie. R. Rummel, Ed., Springer Spektrum, Heidelberg, 2017.
  180. W. Freeden and M.Z. Nashed. Handbook of Mathematical Geodesy. Geosystems Mathematics, Birkhäuser, Springer International Publishing AG, Basel, 2018.
  181. W. Freeden and C. Gerhards. Romberg Extrapolation for Euler Summation-Based Cubatrue on Regular Regions. GEM-Int. J. Geomath. (8):169-182, 2017.
  182. W. Freeden and M. Gutting. Integration and Cubature Methods. CRC Press, Taylor and Francis Group, Boca Raton, 2017.
  183. M. Bauer, W. Freeden, H. Jacobi, and T. Neu (Herausgeber). Handbuch Oberflächennahe Geothermie, Springer Spektrum, Berlin, 2018.
  184. W. Freeden and C. Heine. Geothermie - Ein kurzer Abriss. Handbuch Oberflächennahe Geothermie. M. Bauer, W. Freeden, H. Jacobi, T. Neu, Herausgeber,  1-22, Springer, Berlin, 2018.
  185. C. Blick, W. Freeden und H. Nutz, Innovative Explorationsmethoden in der Gravimetrie und der Reflektionsseismik. Handbuch Oberflächennahe Geothermie. M. Bauer, W. Freeden, H. Jacobi, T. Neu, Herausgeber, 221-256, Springer, Berlin, 2018.
  186. W. Freeden und H. Nutz. Mathematische Lösungspotentiale, Strategien und Dilemmata. Handbuch Oberflächennahe Geothermie. M. Bauer, W. Freeden, H. Jacobi, T. Neu, Herausgeber,  257-280,  Springer, Berlin, 2018.
  187. M. Bauer, W. Freeden, H. Jacobi und T. Neu. Herausforderungen, Chancen und Perspektiven. Handbuch Oberflächennahe Geothermie. M. Bauer, W. Freeden, H. Jacobi, T. Neu, Herausgeber, 797-805, Springer, Berlin, 2018.
  188. W. Freeden and M.Z. Nashed (Eds). Handbook of Mathematical Geodesy: Functional Analytic and Potential Theoretic Methods. Geosystems Mathematics, Birkhäuser, Springer International Publishing AG, Basel, 2018.
  189.  W. Freeden, T. Sonar, and B. Witte. Gauss as Scientific Mediator Between Mathematics and Geodesy from the Post to the Present. Handbook of Mathematical Geodesy, Geosystems Mathematics 1-163, Springer International Publishing AG, Basel, 2018.
  190. W. Freeden and M.Z. Nashed. Ill-Posed Problems: Operator Methodologies of Resolution and Regularization. Handbook of Mathematical Geodesy, Geosystems Mathematics 201-314, Springer International Publishing AG, Basel, 2018.
  191. W. Freeden and H. Nutz. Geodetic Observables and Their Mathematical Treatment in Multiscale Framework. Handbook of Mathematical Geodesy, Geosystems Mathematics, 315-458, Springer International Publishing AG, Basel, 2018.
  192. M. Augustin, W. Freeden, and H. Nutz. About the Importance of the Runge-Walsh Concept for Gravitational Field Determination. Handbook of Mathematical Geodesy, Geosystems Mathematics, 517-560, Springer International Publishing AG, Basel, 2018.
  193. W. Freeden, H. Nutz, and M. Schreiner. Geomathematical Advances in Satellite Gravity Gradiometry (SGG). Handbook of Mathematical Geodesy, Geosystems Mathematics 561-604, Springer International Publishing AG, Basel, 2018.
  194. W. Freeden and M.Z. Nashed. Inverse Gravimetry as an Ill-Posed Problem in Mathematical Geodesy. Handbook of Mathematical Geodesy, Geosystems Mathematics 641-685, Springer International Publishing AG, Basel, 2018.
  195. C. Blick, W. Freeden, and H. Nutz. Gravimetry and Exploration, Handbook of Mathematical Geodesy, Geosystems Mathematics, 687-751, Springer International Publishing AG, Basel, 2018.
  196. W. Freeden, V. Michel, and F.J. Simons. Spherical Harmonics Based Special Function Systems and Constructive Approximation Methods. Handbook of Mathematical Geodesy, Geosystems Mathematics, 753-819, Springer International Publishing AG, Basel, 2018.
  197. W. Freeden and M.Z. Nashed. Inverse Gravimetry: Background Material and Multiscale Mollifier Approaches. GEM Int. J. Geomath. (8):1-66, 2018.
  198. W. Freeden and M.Z. Nashed. Operator-Theoretic and Regularization Approaches to Ill-Posed Problems. GEM-Int. J. Geomath., (9):1-115, 2018
  199. W. Freeden and M.Z. Nashed. From Gaussian Circle Problem to Multivariate Shannon Sampling. Frontiers in Orthogonal Polynomials and q-Series, M.Z. Nashed, X. Li, Eds., Contempary Mathematics and Applications, (1):213-237, World Scientific, 2018.
  200. W. Freeden and M.Z. Nashed. Inverse Gravimetry: Density Signatures from Gravitational Potential Data. Handbuch der Mathematischen Geodäsie, W. Freeden, Ed., Springer Spektrum, Heidelberg, 2018 (in print).
  201. W. Freeden and B. Witte. From Classical Gaussian Least Squares Method to Today’s Operator-Theoretic Approaches to the Pseudoinverse. Handbuch der Mathematischen Geodäsie, W. Freeden, Ed., Springer Spektrum, Heidelberg, 2018 (in print).
  202. W. Freeden and H. Nutz. Inverse Probleme der Geodäsie. Handbuch der Mathematischen Geodäsie, W. Freeden, Ed., Springer Spektrum, Heidelberg, 2018 (in print).
  203. W. Freeden and H. Nutz. From Newton’s Law of Gravitation to Multiscale Geoidal Determination and Ocean Circulation Modeling. Handbuch der Mathematischen Geodäsie, W. Freeden, Ed., Springer Spektrum, Heidelberg, 2018 (in print).
  204. W. Freeden and M.Z. Nashed, and M. Schreiner. Spherical Sampling, Geosystems Mathematics, Birkhäuser, Springer International Publishing AG, 2018.
  205. W. Freeden and M. Schreiner. Mathematical Geodesy: Its Role, Its Aim, and Its Potential. Handbuch der Mathematischen Geodäsie, W. Freeden, Ed., Springer Spektrum, Heidelberg, 2018 (in print).
  206. W. Freeden and M. Schreiner, Spherical Harmonics, Splines and Wavelets: Definitoric Constituents, Strategic Perspectives, Specific Applicability and Applications. Handbuch der Mathematischen Geodäsie, W. Freeden, Ed., Springer Spektrum, Heidelberg, 2018 (in print).
  207. G. Berg, C. Blick, M. Cieslack, W. Freeden, and H. Nutz. Gravimetric Measurements, Gravity Anomalies, Geoid, Quasigeoid: Theoretical Background and Multiscale Modeling. Handbuch der Mathematischen Geodäsie, W. Freeden Ed., Springer Spektrum, Heidelberg, 2018 (in Vorbereitung).
  208. W. Freeden, H. Nutz, R. Rummel, and M. Schreiner. Satellite Gravity Gradiometry (SGG): Methodological Foundation and Geomathematical Advances. Handbuch der Mathematischen Geodäsie, W. Freeden, Ed., Springer Spektrum, Heidelberg, 2018 (in Vorbereitung).
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