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Publications

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): T 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. Cl. 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. In J.C. Ma­son and M.G. Cox, editors. 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. Math. Partial Diff. Equations, (3):375-398, 1987.
  39. W. Freeden. Metaharmonic Splines for Solving the Exterior Dirichlet Problem of the Helmholtz Equa­tion. In F. Utreras, C.K. Chui, L.L. Schumaker, editors. 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. In A. Vogel, C.O. Ofoagbu, R. Gorenflo, and B. Ursin, editors. Geophysical Data Inversion Methods and Applica­tions. Vieweg Publication, 79-104, 1990.
  46. W. Freeden and J.C. Mason. Uniform Piecewise Approximation on the Sphere. In M.G. Cox, J.C. Ma­son, editor, Algorithms for Approximation II, 320-333. Chapman and Hall Mathematics, 1990.
  47. W. Freeden and R. Reuter. An Efficient Algorithm for the Generation of Homogeneous Harmonic Poly­nomials. In M.G. Cox, J.C. Mason, editors. Scientific Software Systems. Chapman and Hall Mathematics, 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. In F. Hodnett, editor. 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. In H. Neunzert, editor, Progress in Industrial Mathematics At the European Consortium of Mathematics in Industry ’94, 413-454. Wiley and Teubner, 1995.
  56. W. Freeden and M. Schreiner. New Wavelet Methods for Approximating Harmonic Functions. In F. Sanso, editor, Geodetic Theory Today, (114):112-121. International Association of Geodesy (IAG) Symposia, Springer, 1995.
  57. W. Freeden and M. Schreiner. Satellite Gradiometry – A New Approach. In F. Sanso, editor, Geodetic Theory Today, (114):122-139. International Association of Geodesy Symposia, Springer, 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. In GAMM-SIAM Symposium on Inverse Problems in Geophysical Applications. Fish Lake, Yosemite. Engl, Louis, Rundell, editors, 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. In Gruen and Kahmen, editors. Optimal 3-D Measurement Techniques, IV. 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. The Uncertainty Principle and Its Role in Physical Geodesy. In Progress in Geodetic Sci­ence at GW 98, 225-236, 1998.
  71. W. Freeden, O. Glockner, and M. Schreiner. Spherical Panel Clustering and Its Numerical Aspects. Jour­nal of Geodesy, (71): 586-599, 1998.
  72. W. Freeden, O. Glockner, and M. Schreiner. Fast Multiscale Evaluation of Geopotentials by Harmonic Wavelets. In W. Freeden, editor. Progress in Geodetic Science at GW 98, 237-257, 1998.
  73. 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.
  74. W. Freeden and F. Schneider. An Integrated Wavelet Concept of Physical Geodesy. Journal of Geod­esy, (72):259-281, 1998.
  75. W. Freeden and F. Schneider. Regularization Wavelets and Multiresolution. Inverse Problems, (14): 225-243, 1998.
  76. 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.
  77. 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. In K.P. Schwarz, editor. Geodesy Beyond 2000, Springer, 221-226, 1999.
  78. S. Beth, N. Casott, D. Deussen, W. Freeden, and B. Witte. Digital Meterological Sensors for the Detec­tion of Atmospheric Turbulence and Their Geodetic Application. In: Altan-Gründig, editor, 3rd Ger­man-Turkish Joint Geodetic Days. 91-99, 1999.
  79. W. Freeden und O. Glockner und J. Rang. Spline-Auswertung forstrelevanter Klimadaten in Rheinland-Pfalz. IUFRO die grüne Reihe, Tiskarna Plesko, Ljubljana: D.R. Pelz, editor. 118-126, 1998.
  80. 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.
  81. W. Freeden, O. Glockner, and R. Litzenberger. Multiscale Modelling From Geopotential Data. In: Mathe­matical Research, Vol. 107. Advances in Multivariate Approximation“, W. Haußmann, K. Jetter, M. Reimer, eds. Wiley-VCH, 151-174, (1999).
  82. 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.
  83. 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.
  84. W. Freeden and F. Schneider. Runge-Walsh Wavelet Approximation for the Helmholtz Equation. J. Math. Anal. Appl., (235): 533-566, 1999.
  85. W. Freeden and V. Michel. Least-squares Geopotential Approximation by Windowed Fourier Trans­form and Wavelet Transform. In: Springer Lecture Notes in Earth Sciences, R. Klees and R. Haagmans, editors, (90): 189-241, 2000.
  86. 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.
  87. W. Freeden, V. Michel, and M. Stenger. Multiscale Signal-to-Noise Thresholding. Acta Geodaetica et Geophysica Hungarica (36): 55-86, 2001.
  88. W. Freeden. A General Construction Principle of Wavelets. ESO (European Southern Observatory) Astrophysics Symposia, A.J. Banday, S. Zaroubi, M. Bartelmann (eds), Max-Planck-Institute für Astrophysik. In Physics and Astronomy, 53-70, Springer 2001.
  89. 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.
  90. W. Freeden and S. Pereverzev. Spherical Tikhonov Regularization Wavelets in Satellite Gravity Gradi­ometry with Random Noise. Journal of Geodesy , (74): 730-736, 2001.
  91. 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.
  92. W. Freeden. Multiscale Modelling of GOCE-DATA-Products, In: ESA-Proceedings of the “Interna­tional GOCE User Workshop”, ESTEC, Noordwijk, ESA WPP-188, 111-126, 2001.
  93. 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.
  94. W. Freeden and T. Maier. On Multiscale Denoising of Spherical Functions: Basic Theory and Numeri­cal Aspects. Electronic Transactions on Numerical Analysis (ETNA), (14): 40-62, 2002.
  95. 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.
  96. W. Freeden, T. Maier, and S. Zimmermann. A Survey on Wavelet Methods for (Geo)Applications. Re­vista Matemática Complutense (16): 277-310, 2003.
  97. W. Freeden, C. Mayer. Wavelets Generated by Layer Potentials. Applied and Computational Harmonic Analysis (ACHA) (14), 195-237, 2003.
  98. 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.
  99. W. Freeden, T. Maier. Spectral and Multiscale Signal-to-Noise Thresholding of Spherical Vector Fields and Their Application to Earth’s Magnetic Field Determination. Computational Geosciences (7): 215-250, 2003 .
  100. W. Freeden, T. Maier. SST-Regularisierung durch Multiresolutionstechniken auf der Basis von CHAMP-Daten. Allgemeine Vermessungsnachrichten (AVN), (5) 162-175, 2003.
  101. W. Freeden, C. Mayer, M. Schreiner. Tree Algorithms in Wavelet Approximation by Helmholtz Potential Operators. Numer. Funct. Anal. and Optim., (24): 747-782, 2003.
  102. W. Freeden, V. Michel (eds). Multiscale Modeling of CHAMP Data. Technische Universität Kaiserslautern, Schriften zur Funktionalanalysis und Geomathematik (SFG), Band 4, 2003.
  103. M.K. Abeyratne, W. Freeden, C. Mayer. Multiscale Deformation Analysis by Cauchy-Navier Wavelets. Journal of Applied Mathematics, (12): 605-645, 2003.
  104. W. Freeden, K. Hesse. Spline Modeling of Geostrophic Flow: Theoretical and Algorithmic Aspects. Technische Universität Kaiserslautern, Schriften zur Funktionalanalysis und Geomathematik (SFG), Band 15, 2004.
  105. W. Freeden, 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.
  106. W. Freeden, 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.
  107. W. Freeden, D. Michel, V. Michel: Multiscale Modeling of Ocean Circulation. In: Proceedings of the 2nd International GOCE User Workshop, Frascati, March 2004.
  108. M. J. Fengler, W. Freeden, M. Gutting. Multiscale Modeling from EIGEN-1S, EIGEN-2, EIGEN-GRACE01S, GGM01, UCPH2002_0.5, EGM96. In: Proceedings of the 2nd International GOCE User Workshop, Frascati, March 2004.
  109. 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, (157): 499-514, 2004.
  110. 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.
  111. M. Fengler, W. Freeden, M. Gutting. Darstellung des Gravitationsfelds und seiner Funktionale mit Multiskalentechniken. Zeitschrift für Geodäsie, Geoinformation und Landmanagement (ZFV), (5): 323-334, 2004.
  112. M. Fengler, W. Freeden, 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
  113. M. Fengler, W. Freeden, 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.
  114. W. Freeden, S. Gramsch, A. Luther, G. Schüler. Von forstmeteorologischen Punktmessungen zur räumlichen aggregierten Daten – Ausgleich von Messlücken durch approximative Bestimmung fehlender forstmeteorologischer Messdaten. Forstarchiv, (76): 44-53, 2005.
  115. W. Freeden, V. Michel. Wavelet Deformation Analysis for Spherical Bodies. International Journal of Wavelets, Multiresolution, and Information Proceedings (IJWMIP), (3): 523-558, 2005.
  116. M. 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.
  117. W. Freeden, M. Schreiner. Spaceborne Gravitational Field Determination by Means of Locally Supported Wavelets. Journal of Geodesy, (79): 431-446, 2005.
  118. 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.
  119. F. Bauer, W. Freeden, M. Schreiner. A Tree Algorithm for Isotropic Finite Elements on the Sphere. Numer. Funct. Anal. and Optimiz., (27): 1-24, 2006.
  120. W. Freeden, M. Schreiner. Local Multiscale Modelling of Geoidal Undulations from Deflections of the Vertical. Journal of Geodesy, (78): 641-651, 2006.
  121. W. Freeden, C. Mayer. Multiscale Solution for the Molodensky Problem on Regular Telluroidal Surfaces. Acta Geodaetica et Geophysica Hungarica, (41), 55-86, 2006.
  122. W. Freeden, M. Schreiner. Multiresolution Analysis by Spherical Up Functions. Constructive Approximation (23): 241-259, 2006.
  123. M.J. Fengler, W. Freeden, M. Gutting. The Spherical Bernstein Wavelet. International Journal of Pure and Applied Mathematics (IJPAM): (31) No. 2:209-230, 2006.
  124. M. 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,  (http://dx.doi.org/10.1007/s00190-006-0040-1).
  125. W. Freeden, 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).
  126. W. Freeden, M. Schreiner. Biorthogonal Locally Supported Wavelets on the Sphere Based on Zonal Functions. Journal of Fourier Analysis and Applications (JFAA) (13): 693-709, (2007).
  127. 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).
  128. 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, ZAMM 87, No. 11-12, 775-791, (2007)
  129. T. Fehlinger, W. Freeden, C. Mayer, M. Schreiner. On the Local Multiscale Determination of the Earth's Disturbing Potential From Discrete Deflections of the Vertical, Computational Geosciences, No. 12, 473-490, (2008)
  130. 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)
  131. 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).
  132. 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).
  133. W. Freeden, K. Wolf, Klassische Erdschwerefeldbestimmung aus der Sicht moderner Geomathematik, Mathematisch Semesterberichte, 56, 53-78, (2009).
  134. W. Freeden, Geomathematik, was ist das überhaupt?, Jahresbericht der DMV, JB 111, Heft 3, 125-152, (2009).
  135. W. Freeden, C. Gerhards, Poloidal and Toroidal Field Modeling in Terms of Locally Supported Vector Wavelets, Mathematical Geosciences 42, 818-838 (2010)
  136. W. Freeden, M. Schreiner, Spherical Functions in Mathematical Geosciences - An Attempt of Categorization, In: W. Freeden, Z. Nashed, T. Sonar (Eds.) Handbook of Geomathematics, Vol.1, 269-302 Springer, Heidelberg (2010)
  137. W. Freeden, M. Schreiner, Satellite Gravity Gradiometry (SGG) - From Scalar to Tensorial Solution, In: W. Freeden, Z. Nashed, T. Sonar (Eds.) Handbook of Geomathematics, Vol. 2, 925-948, Springer, Heidelberg (2010)
  138. W. Freeden Geomathematics: Its Role, Its Aim, and Its Potential, In: W. Freeden, Z. Nashed, T. Sonar (Eds.) Handbook of Geomathematics, Vol. 1, 3-42, Springer, Heidelberg (2010)
  139. W. Freeden GEM - International Journal of Geomathematics 1, 1-3. (2010)
  140. 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), 387-397.
  141. W. Freeden, H. Nutz, Satellite Gravity Gradiometry as Tensorial Inverse Problem, GEM - International Journal of Geomathematics 2, 177-218 (2011)
  142. C. Blick, W. Freeden Spherical Spline Application to Radio Occultation Data, J. Geod. Sci. 1, 379-396 (2011)
  143. W. Freeden, I. Ostermann, M. Augustin, Mathematik als Schlüsseltechnologie in der Geothermie, Geothermische Energie 70, 20-24, (2011)
  144. M. Koster, H. Nutz, G. Wagner, W. Freeden, Inverse Methods for Fatigue Assessment in the VCHF-Regime, VHCF 5-Proceedings, 497-502, Berlin (2011)
  145. M. Koster, H. Nutz, W. Freeden, D. Eifler, Measuring Techniques for the VHCF Behaviour of a High Strength Steel a Ultrasonic Frequencies, Int. Journal of Material Research 103, 106-112 (2012)
  146. M. Augustin, W. Freeden, C. Gerhards, S. Möhringer, I. Ostermann, Mathematische Methoden in der Geothermie, Math. Semesterber. 59, 1-28 (2012).
  147. M. Koster, H. Nutz, W. Freeden, D. Eifler, Measuring Techniques for the Very High Cycle Fatigue Behavior of High Strength Steel at Ultrasonic Frequencies, DOI: 10.3139/146-110623, Int. J. Math. Res., 103, 106-112, (2012)
  148. W. Freeden, C. Blick, Signal Decorrelation by Means of Multi-Scale Methods, World of Mining 65 (5): 304-317, (2013)
  149. W. Freeden, I. Ostermannm, Integration on Three-Dimensional Regular Regions Based on (Modified) Euler Summation. Numeric. Funct. Analysis and Optimization 34 (6): 613-634, (2013)
  150. W. Freeden, M. Gutting, Low Discrepancy Methods and Equidistribution of Data Point Systems, Handbook of Geomathematics, (in preparation)
  151. 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, A. Punz, Modeling Deep Geothermal Reservoirs: Recent Advances and Future Perspectives. In: Handbook of Geomathematics, 2nd Edition (Eds.: W. Freeden, Z. Nashed, T. Sonar), Vol. 2, 1547-1629, DOI 10.1007/978-3-642-27793-1_22-3, Springer, Berlin, Heidelberg, (2014)
  152. M.Bauer, W. Freeden, H.Jacobi, T. Neu, Herausforderungen, Chancen und Perspektiven, in: Handbuch Tiefe Geothermie, Prospektion, Exploration, Realisierung, Nutzung,835-842, DOI 10.1007/978-3-642-54511-5_28, Springer Spektrum, Heidelberg (2014)
  153. M.Bauer, W. Freeden, H.Jacobi, T. Neu, Energiewirtschaft 2014, Fakten und Chancen der Tiefen Geothermie, Springer Spektrum, DOI 10.1007/978-3-658-06409-9, Springer Fachmedien, Wiesbaden, (2014)
  154. S. Eberle, W. Freeden, R. Matthes, Forest Fire Spreading, In: Handbook of Geomathematics, 2nd Edition (eds.: W. Freeden, Z. Nashed, T. Sonar), Vol 2, 1349-1385, DOI 10.1007/978-3-642-27793-1_70-2, Springer, Berlin, Heidelberg, (2014)
  155. W. Freeden, Geomathematics: Its Role, Its Aim, and Its Potential, In: Handbook of Geomathematics, 2nd Edition (eds.: W. Freeden, Z. Nashed, T. Sonar), Vol. 1, 3-78, DOI 10.1007/978-3-642-27793-1_1-2, Springer, Berlin, Heidelberg, (2014)
  156. W. Freeden, C. Mayer, Stokes Problems, Layer Potentials and Regularizations, and Multiscale Applications, In: Handbook of Geomathematics, 2nd Edition (eds.: W. Freeden, Z. Nashed, T. Sonar), Vol. 2, 1155-1253, DOI 10.1007/978-3-642-27793-1_95-1, Springer, Berlin, Heidelberg, (2014)
  157. W. Freeden, H. Nutz, Mathematik als Schlüsseltechnologie zum Verständnis des Systems “Tiefe Geothermie”, Jahresber Dtsch Math-Ver., DOI 10.1365/s13291-014-0107-5, Springer, Berlin. Heidelberg, (2014)
  158. W. Freeden, H. Nutz, Mathematische Methoden, In: Handbuch Tiefe Geothermie, Prospektion, Exploration, Realisierung, Nutzung, (eds. M. Bauer et al.),  DOI 10.1007/978-3-642-54511-5_4, Springer, Berlin. Heidelberg, (2014)
  159. W. Freeden, M. Schreiner, Special Functions in Mathematical Geosciences - An Attempt at a Categorization, In: Handbook of Geomathematics, 2nd Edition (eds.: W. Freeden, Z. Nashed, T. Sonar), Vol. 3, 2455-2482, DOI 10.1007/978-3-642-27793-1_31-2, Springer, Berlin Heidelberg, (2014)
  160. W. Freeden, M. Schreiner, Satellite Gravity Gradiometry (SGG) - From Scalar to Tensorial Solution, In: Handbook of Geomathematics, 2nd Edition (eds.: W. Freeden, Z. Nashed, T. Sonar), Vol. 1, 339-379, DOI 10.1007/978-3-642-27793-1_9-2, Springer, Berlin Heidelberg, (2014)
  161. M. Augustin, W. Freeden, A Survey on Classical Boundary Value Problems in Physical Geodesy. In: Encyclopedia of Geodesy (Ed. E. Grafarend), DOI 10.1007/978-3-319-02370-0_117-1, Springer (2015)
  162. W. Freeden, C. Gerhards, H. Nutz, M. Schreiner, Disturbing Potential from Deflections of the Vertical: From Globally Reflected Surface Gradient Equation to Locally Oriented Multiscale Modeling. In: Encyclopedia of Geodesy,  (Ed. E. Grafarend), DOI 10.1007/978-3-319-02370-0_126-1, Springer (2015)
  163. M. Augustin, C. Blick, S. Eberle, W. Freeden, Disturbing Potential from Gravity Anomalies: From Globally Reflected Stokes Boundary Value Problem to Locally Oriented Multiscale Modeling. In: Encyclopedia of Geodesy,  (Ed. E. Grafarend), DOI 10.1007/978-3-319-02370-0_124-1Springer (2015)
  164. M. Augustin, W. Freeden, Geodetically Relevant Finite Pointset-Method (FPM). In: Encyclopedia of Geodesy,  (Ed. E. Grafarend), DOI 10.1007/978-3-319-02370-0_118-1, Springer (2015)
  165. W. Freeden, C. Gerhards, H. Nutz, Modeling Oceanic Flow: From Global Navier-Stokes to Local Geostropic Wavelet Modeling. In: Encyclopedia of Geodesy,  (Ed. E. Grafarend), DOI 10.1007/978-3-319-02370-0_127-1, Springer (2015)
  166. C. Blick, S. Eberle, W. Freeden, Radio Occultation: Principles and Modeling. In: Encyclopedia of Geodesy,  (Ed. E. Grafarend), DOI 10.1007/978-3-319-02370-0_122-1, Springer (2015)
  167. M. Augustin, W. Freeden, Integral Equations and Spectral Multiscale Methods. In: Encyclopedia of Geodesy, Springer (in preparation)
  168. M. Augustin, W. Freeden, Noisy Spherical Data: Spectral Multiscale Thresholding. In: Encyclopedia of Geodesy, Springer (in preparation)
  169. W. Freeden, M. Z. Nashed: Multi-variate Hardy-type lattice point summation and Shannon-type sampling, GEM - Int. J. on Geomath. 6(2): 163-249 (2015)
  170. M. Augustin, W. Freeden: A Survey on Classic Boundary Value Problems in Physical Geodesy. In: Encyclopedia of Geodesy (Ed. E. Grafarend), DOI 10.1007/978-3-319-02370-0_117-1, Springer (2015)
  171. C. Blick, W. Freeden, H. Nutz: Gesteigerte Investmentsicherheit durch geomathematische Innovation. World of Mining, Sonderdruck (2015)
  172. W. Freeden, C. Heine: GEM: International Journal on Geomathematics. GEM -Int. J. Geomath. 8(1): 1-7 (2017).
  173. C. Blick, W. Freeden, H. Nutz: Feature extraction of geological signatures by multiscale gravimetry. GEM -Int. J. Geomath. 8(1): 57-83 (2017)
  174. C. Blick, W. Freeden, H. Nutz: Innovative Explorationsmethoden in der Gravimetrie und der Reflektionsseismik, In: Handbuch Oberflächennahe Geothermie (Eds. M. Bauer, W. Freeden, H. Jacobi, T. Neu), Springer, Berlin, Heidelberg (submitted)
  175. C. Blick, W. Freeden, H. Nutz: Gravimetry and Exploration. In: Handbook of Mathematical Geodesy (submitted)
  176. W. Freeden, C. Heine: Geothermie - ein kurzer Abriss, In: Handbuch Oberflächennahe Geothermie (Eds. M. Bauer, W. Freeden, H. Jacobi, T. Neu), Springer, Berlin, Heidelberg (submitted).
  177. M. Augustin, W.Freeden, H. Nutz: About the Importance of the Runge–Walsh Concept for Physical Geodesy. In: Handbook of Mathematical Geodesy (submitted)
  178. W. Freeden, H. Nutz, M. Schreiner: Geomathematical Advances in Satellite Gravity Gradiometry (SGG). In: Handbook of Mathematical Geodesy (submitted)
  179. W. Freeden, H. Nutz: Geodetic Observables and Their Mathematical Treatment in Multiscale Framework. In: Handbook of Mathematical Geodesy (submitted)

Books:

  1. W. Freeden, T. Gervens, and M. Schreiner, Constructive Approximation on the Sphere (With Applica­tions to Geomathematics). Oxford Science Publication, Clarendon Press, 1998.
  2. W. Freeden (editor), Progress in Geodetic Science at (GW 98). Shaker Verlag, Aachen 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. Nahed, T. Sonar (editors), Handbook of Geomathematics. Springer, Heidelberg, 2010.
  7. W. Freeden, Metaharmonic Lattice Point Theory. CRC Press, Taylor & Francis Group, 2011.
  8. W. Freeden, C. Gerhards, Geomathematically Oriented Potential Theory. Chapman and Hall/CRC Press, Boca Raton, 2013.
  9. W. Freeden, M. Gutting, Special Functions of Mathematical (Geo-)Physics. DOI 10.1007/978-3-0348-0563-6,Birkhäuser, Basel, 2013.
  10. W. Freeden, Z. Nahed, T. Sonar (editors), Handbook of Geomathematics (2nd edition). Springer, Heidelberg, 2015.
  11. M. Bauer, W. Freeden, H.Jacobi, T. Neu (editors),  Handbuch Tiefe Geothermie, Prospektion, Exploration, Realisierung, Nutzung, Springer Spektrum, DOI 10.1007/978-3-642-54511-5_28, Springer Heidelberg, 2015.
  12. M. Bauer, W. Freeden, H.Jacobi, T. Neu (editors),  Handbuch Oberflächennahe Geothermie,   Springer Heidelberg, (in preparation).

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