Kerstin Hesse

Institut für Mathematik
kerstin.hesse@uni-paderborn.de
ID
42608

25 Publications

Mark all

[25]
2022 | Journal Article | LibreCat-ID: 34633
K. Hesse and Q. T. Le Gia, “L_2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data,” Journal of Computational and Applied Mathematics, vol. 408, Art. no. 114118, 2022, doi: 10.1016/j.cam.2022.114118.
LibreCat | DOI
 
[24]
2021 | Journal Article | LibreCat-ID: 34629
K. Hesse, I. H. Sloan, and R. S. Womersley, “Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data,” Journal of Computational and Applied Mathematics, vol. 382, Art. no. 113061, 2021, doi: 10.1016/j.cam.2020.113061.
LibreCat | DOI
 
[23]
2020 | Book Chapter | LibreCat-ID: 34632
K. Hesse, “RBF-based penalized least-squares approximation of noisy scattered data on the sphere,” in Multivariate Algorithms and Information-Based Complexity, F. J. Hickernell and P. Kritzer, Eds. Berlin/Boston: De Gruyter, 2020, pp. 33–42.
LibreCat
 
[22]
2017 | Journal Article | LibreCat-ID: 34631
K. Hesse, I. H. Sloan, and R. S. Womersley, “Radial basis function approximation of noisy scattered data on the sphere,” Numerische Mathematik, vol. 137, no. 3, pp. 579–605, 2017, doi: 10.1007/s00211-017-0886-6.
LibreCat | DOI
 
[21]
2016 | Conference Paper | LibreCat-ID: 54340
K. Hesse, “Neugestaltung der ‘Höheren Mathematik A, B und C für Elektrotechniker’ -- Nutzung der Lehrmaterialien durch Studierende,” in Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2015: Beiträge zum gleichnamigen Symposium am 13. & 14. November 2015 an der Universität zu Lübeck (Hochschulschriften zur Mathematik-Didaktik) , 2016, pp. 86–102.
LibreCat
 
[20]
2015 | Conference Paper | LibreCat-ID: 54341
K. Hesse, “Online Tests for Evaluating Learning Success,” 2015.
LibreCat
 
[19]
2012 | Journal Article | LibreCat-ID: 54322
K. Hesse and R. S. Womersley, “Numerical integration with polynomial exactness over a spherical cap,” Advances in Computational Mathematics, vol. 36, pp. 451–483, 2012.
LibreCat
 
[18]
2011 | Journal Article | LibreCat-ID: 54323
K. Hesse, “Complexity of numerical integration over spherical caps in a Sobolev space setting,” Journal of Complexity, vol. 27, pp. 383–403, 2011.
LibreCat
 
[17]
2010 | Book Chapter | LibreCat-ID: 54337
K. Hesse, I. H. Sloan, and Robert S. Womersley, “Numerical integration on the sphere,” in Handbook of Geomathematics , W. Freeden, Z. Nashed , and T. Sonar, Eds. Springer Verlag, 2010, pp. 1187-1220.
LibreCat
 
[16]
2009 | Journal Article | LibreCat-ID: 54324
K. Hesse, “The s-energy of spherical designs on S2,” Advances in Computational Mathematics, vol. 30, pp. 37–59, 2009.
LibreCat
 
[15]
2008 | Journal Article | LibreCat-ID: 54326
K. Hesse and Q. Thong Le Gia, “Local radial basis function approximation on the sphere,” Bulletin of the Australian Mathematical Society, vol. 77, pp. 197–224, 2008.
LibreCat
 
[14]
2008 | Journal Article | LibreCat-ID: 54325
K. Hesse and P. Leopardi, “The Coulomb energy of spherical designs on S2,” Advances in Computational Mathematics, vol. 28, pp. 331–354, 2008.
LibreCat
 
[13]
2007 | Journal Article | LibreCat-ID: 54328
K. Hesse, F. Y. Kuo, and I. H. Sloan, “A component-by-component approach to efficient numerical integration over products of spheres,” Journal of Complexity, vol. 23, pp. 25–51, 2007.
LibreCat
 
[12]
2007 | Journal Article | LibreCat-ID: 54327
K. Hesse, H. N  Mhaskar, and I. H. Sloan, “Quadrature in Besov spaces on the Euclidean sphere,” Journal of Complexity, vol. 23, pp. 528–552, 2007.
LibreCat
 
[11]
2007 | Journal Article | LibreCat-ID: 54330
K. Hesse and J. S. Brauchart, “Numerical integration over spheres of arbitrary dimension,” Constructive Approximation, vol. 25, pp. 41–71, 2007.
LibreCat
 
[10]
2006 | Journal Article | LibreCat-ID: 54331
K. Hesse, “A lower bound for the worst-case cubature error on spheres of arbitrary dimension,” Numerische Mathematik, vol. 103, pp. 413–433, 2006.
LibreCat
 
[9]
2006 | Book Chapter | LibreCat-ID: 54338
K. Hesse and I. H. Sloan, “Hyperinterpolation on the sphere,” in Frontiers in Interpolation and Approximation (Dedicated to the Memory of Ambikeshwar Sharma), N. K. Govil, H. N. Mhaskar, R. N. Mohapatra, Z. Nashed , and J. Szabados, Eds. Chapman & Hall/CRC, 2006, pp. 213–248.
LibreCat
 
[8]
2006 | Journal Article | LibreCat-ID: 54332
K. Hesse and I. H. Sloan, “Cubature over the sphere S2 in Sobolev spaces of arbitrary order,” Journal of Approximation Theory, vol. 141, pp. 118–133, 2006.
LibreCat
 
[7]
2005 | Book Chapter | LibreCat-ID: 54339
K. Hesse and I. H. Sloan, “Optimal order integration on the sphere,” in Frontiers and Prospects of Contemporary Applied Mathematics, T. Li and P. Zhang, Eds. Higher Education Press und World Scientific, 2005, pp. 59–70.
LibreCat
 
[6]
2005 | Journal Article | LibreCat-ID: 54334
K. Hesse and I. H. Sloan, “Worst-case errors in a Sobolev space setting for cubature over the sphere S2,” Bulletin of the Australian Mathematical Society, vol. 71, pp. 81–105, 2005.
LibreCat
 
[5]
2005 | Journal Article | LibreCat-ID: 54333
K. Hesse and I. H. Sloan, “Optimal lower bounds for cubature error on the sphere S2,” Journal of Complexity, vol. 21, pp. 790–803, 2005.
LibreCat
 
[4]
2004 | Journal Article | LibreCat-ID: 54336
K. Hesse and I. H. Sloan, “High-order numerical integration on the sphere and extremal point systems,” Journal of Computational Technologies, vol. 9, pp. 4–12, 2004.
LibreCat
 
[3]
2002 | Journal Article | LibreCat-ID: 54335
K. Hesse and W. Freeden, “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, vol. 39, pp. 37–74, 2002.
LibreCat
 
[2]
2002 | Dissertation | LibreCat-ID: 54375
K. Hesse, Domain Decomposition Methods in Multiscale Geopotential Determination from SST and SGG. Aachen: Veröffentlicht beim Shaker Verlag, 2002.
LibreCat
 
[1]
1998 | Dissertation | LibreCat-ID: 54376
K. Hesse, Wachstumsverhalten von Lösungen der $\overline{\partial}$-Gleichung auf Pseudo-Siegel-Gebieten. 1998.
LibreCat
 
Marked Publication(s)

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Citation Style: IEEE

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25 Publications

Mark all

[25]
2022 | Journal Article | LibreCat-ID: 34633
K. Hesse and Q. T. Le Gia, “L_2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data,” Journal of Computational and Applied Mathematics, vol. 408, Art. no. 114118, 2022, doi: 10.1016/j.cam.2022.114118.
LibreCat | DOI
 
[24]
2021 | Journal Article | LibreCat-ID: 34629
K. Hesse, I. H. Sloan, and R. S. Womersley, “Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data,” Journal of Computational and Applied Mathematics, vol. 382, Art. no. 113061, 2021, doi: 10.1016/j.cam.2020.113061.
LibreCat | DOI
 
[23]
2020 | Book Chapter | LibreCat-ID: 34632
K. Hesse, “RBF-based penalized least-squares approximation of noisy scattered data on the sphere,” in Multivariate Algorithms and Information-Based Complexity, F. J. Hickernell and P. Kritzer, Eds. Berlin/Boston: De Gruyter, 2020, pp. 33–42.
LibreCat
 
[22]
2017 | Journal Article | LibreCat-ID: 34631
K. Hesse, I. H. Sloan, and R. S. Womersley, “Radial basis function approximation of noisy scattered data on the sphere,” Numerische Mathematik, vol. 137, no. 3, pp. 579–605, 2017, doi: 10.1007/s00211-017-0886-6.
LibreCat | DOI
 
[21]
2016 | Conference Paper | LibreCat-ID: 54340
K. Hesse, “Neugestaltung der ‘Höheren Mathematik A, B und C für Elektrotechniker’ -- Nutzung der Lehrmaterialien durch Studierende,” in Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2015: Beiträge zum gleichnamigen Symposium am 13. & 14. November 2015 an der Universität zu Lübeck (Hochschulschriften zur Mathematik-Didaktik) , 2016, pp. 86–102.
LibreCat
 
[20]
2015 | Conference Paper | LibreCat-ID: 54341
K. Hesse, “Online Tests for Evaluating Learning Success,” 2015.
LibreCat
 
[19]
2012 | Journal Article | LibreCat-ID: 54322
K. Hesse and R. S. Womersley, “Numerical integration with polynomial exactness over a spherical cap,” Advances in Computational Mathematics, vol. 36, pp. 451–483, 2012.
LibreCat
 
[18]
2011 | Journal Article | LibreCat-ID: 54323
K. Hesse, “Complexity of numerical integration over spherical caps in a Sobolev space setting,” Journal of Complexity, vol. 27, pp. 383–403, 2011.
LibreCat
 
[17]
2010 | Book Chapter | LibreCat-ID: 54337
K. Hesse, I. H. Sloan, and Robert S. Womersley, “Numerical integration on the sphere,” in Handbook of Geomathematics , W. Freeden, Z. Nashed , and T. Sonar, Eds. Springer Verlag, 2010, pp. 1187-1220.
LibreCat
 
[16]
2009 | Journal Article | LibreCat-ID: 54324
K. Hesse, “The s-energy of spherical designs on S2,” Advances in Computational Mathematics, vol. 30, pp. 37–59, 2009.
LibreCat
 
[15]
2008 | Journal Article | LibreCat-ID: 54326
K. Hesse and Q. Thong Le Gia, “Local radial basis function approximation on the sphere,” Bulletin of the Australian Mathematical Society, vol. 77, pp. 197–224, 2008.
LibreCat
 
[14]
2008 | Journal Article | LibreCat-ID: 54325
K. Hesse and P. Leopardi, “The Coulomb energy of spherical designs on S2,” Advances in Computational Mathematics, vol. 28, pp. 331–354, 2008.
LibreCat
 
[13]
2007 | Journal Article | LibreCat-ID: 54328
K. Hesse, F. Y. Kuo, and I. H. Sloan, “A component-by-component approach to efficient numerical integration over products of spheres,” Journal of Complexity, vol. 23, pp. 25–51, 2007.
LibreCat
 
[12]
2007 | Journal Article | LibreCat-ID: 54327
K. Hesse, H. N  Mhaskar, and I. H. Sloan, “Quadrature in Besov spaces on the Euclidean sphere,” Journal of Complexity, vol. 23, pp. 528–552, 2007.
LibreCat
 
[11]
2007 | Journal Article | LibreCat-ID: 54330
K. Hesse and J. S. Brauchart, “Numerical integration over spheres of arbitrary dimension,” Constructive Approximation, vol. 25, pp. 41–71, 2007.
LibreCat
 
[10]
2006 | Journal Article | LibreCat-ID: 54331
K. Hesse, “A lower bound for the worst-case cubature error on spheres of arbitrary dimension,” Numerische Mathematik, vol. 103, pp. 413–433, 2006.
LibreCat
 
[9]
2006 | Book Chapter | LibreCat-ID: 54338
K. Hesse and I. H. Sloan, “Hyperinterpolation on the sphere,” in Frontiers in Interpolation and Approximation (Dedicated to the Memory of Ambikeshwar Sharma), N. K. Govil, H. N. Mhaskar, R. N. Mohapatra, Z. Nashed , and J. Szabados, Eds. Chapman & Hall/CRC, 2006, pp. 213–248.
LibreCat
 
[8]
2006 | Journal Article | LibreCat-ID: 54332
K. Hesse and I. H. Sloan, “Cubature over the sphere S2 in Sobolev spaces of arbitrary order,” Journal of Approximation Theory, vol. 141, pp. 118–133, 2006.
LibreCat
 
[7]
2005 | Book Chapter | LibreCat-ID: 54339
K. Hesse and I. H. Sloan, “Optimal order integration on the sphere,” in Frontiers and Prospects of Contemporary Applied Mathematics, T. Li and P. Zhang, Eds. Higher Education Press und World Scientific, 2005, pp. 59–70.
LibreCat
 
[6]
2005 | Journal Article | LibreCat-ID: 54334
K. Hesse and I. H. Sloan, “Worst-case errors in a Sobolev space setting for cubature over the sphere S2,” Bulletin of the Australian Mathematical Society, vol. 71, pp. 81–105, 2005.
LibreCat
 
[5]
2005 | Journal Article | LibreCat-ID: 54333
K. Hesse and I. H. Sloan, “Optimal lower bounds for cubature error on the sphere S2,” Journal of Complexity, vol. 21, pp. 790–803, 2005.
LibreCat
 
[4]
2004 | Journal Article | LibreCat-ID: 54336
K. Hesse and I. H. Sloan, “High-order numerical integration on the sphere and extremal point systems,” Journal of Computational Technologies, vol. 9, pp. 4–12, 2004.
LibreCat
 
[3]
2002 | Journal Article | LibreCat-ID: 54335
K. Hesse and W. Freeden, “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, vol. 39, pp. 37–74, 2002.
LibreCat
 
[2]
2002 | Dissertation | LibreCat-ID: 54375
K. Hesse, Domain Decomposition Methods in Multiscale Geopotential Determination from SST and SGG. Aachen: Veröffentlicht beim Shaker Verlag, 2002.
LibreCat
 
[1]
1998 | Dissertation | LibreCat-ID: 54376
K. Hesse, Wachstumsverhalten von Lösungen der $\overline{\partial}$-Gleichung auf Pseudo-Siegel-Gebieten. 1998.
LibreCat
 
Marked Publication(s)

Search

Filter Publications

Display / Sort

Citation Style: IEEE

Export / Embed