Kerstin Hesse

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

25 Publications

Mark all

[25]
2022 | Journal Article | LibreCat-ID: 34633
Hesse K, Le Gia QT. L_2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data. Journal of Computational and Applied Mathematics. 2022;408. doi:10.1016/j.cam.2022.114118
LibreCat | DOI
 
[24]
2021 | Journal Article | LibreCat-ID: 34629
Hesse K, Sloan IH, Womersley RS. Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data. Journal of Computational and Applied Mathematics. 2021;382. doi:10.1016/j.cam.2020.113061
LibreCat | DOI
 
[23]
2020 | Book Chapter | LibreCat-ID: 34632
Hesse K. RBF-based penalized least-squares approximation of noisy scattered data on the sphere. In: Hickernell FJ, Kritzer P, eds. Multivariate Algorithms and Information-Based Complexity. De Gruyter; 2020:33-42.
LibreCat
 
[22]
2017 | Journal Article | LibreCat-ID: 34631
Hesse K, Sloan IH, Womersley RS. Radial basis function approximation of noisy scattered data on the sphere. Numerische Mathematik. 2017;137(3):579-605. doi:10.1007/s00211-017-0886-6
LibreCat | DOI
 
[21]
2016 | Conference Paper | LibreCat-ID: 54340
Hesse K. Neugestaltung der “Höheren Mathematik A, B und C für Elektrotechniker” -- Nutzung der Lehrmaterialien durch Studierende. In: Paravicini W, Schnieder J, eds. 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) . WTM-Verlag; 2016:86-102.
LibreCat
 
[20]
2015 | Conference Paper | LibreCat-ID: 54341
Hesse K. Online Tests for Evaluating Learning Success. In: Extended Abstract Der Khdm Conference 2015, 8 Seiten. (Dieser Extended Abstract Ist Online Publiziert Als Khdm-Report Zur Khdm Conference 2015.). ; 2015.
LibreCat
 
[19]
2012 | Journal Article | LibreCat-ID: 54322
Hesse K, S. Womersley R. Numerical integration with polynomial exactness over a spherical cap. Advances in Computational Mathematics. 2012;36:451-483.
LibreCat
 
[18]
2011 | Journal Article | LibreCat-ID: 54323
Hesse K. Complexity of numerical integration over spherical caps in a Sobolev space setting. Journal of Complexity. 2011;27:383-403.
LibreCat
 
[17]
2010 | Book Chapter | LibreCat-ID: 54337
Hesse K, H. Sloan I, S. Womersley Robert . Numerical integration on the sphere. In: Freeden W, Nashed Z, Sonar T, eds. Handbook of Geomathematics . Springer Verlag; 2010:1187-1220.
LibreCat
 
[16]
2009 | Journal Article | LibreCat-ID: 54324
Hesse K. The s-energy of spherical designs on S2. Advances in Computational Mathematics. 2009;30:37-59.
LibreCat
 
[15]
2008 | Journal Article | LibreCat-ID: 54326
Hesse K, Thong Le Gia Q. Local radial basis function approximation on the sphere. Bulletin of the Australian Mathematical Society. 2008;77:197-224.
LibreCat
 
[14]
2008 | Journal Article | LibreCat-ID: 54325
Hesse K, Leopardi P. The Coulomb energy of spherical designs on S2. Advances in Computational Mathematics. 2008;28:331-354.
LibreCat
 
[13]
2007 | Journal Article | LibreCat-ID: 54328
Hesse K, Y. Kuo F, H. Sloan I. A component-by-component approach to efficient numerical integration over products of spheres. Journal of Complexity. 2007;23:25-51.
LibreCat
 
[12]
2007 | Journal Article | LibreCat-ID: 54327
Hesse K, N  Mhaskar H, H. Sloan I. Quadrature in Besov spaces on the Euclidean sphere. Journal of Complexity. 2007;23:528-552.
LibreCat
 
[11]
2007 | Journal Article | LibreCat-ID: 54330
Hesse K, S. Brauchart J. Numerical integration over spheres of arbitrary dimension. Constructive Approximation. 2007;25:41-71.
LibreCat
 
[10]
2006 | Journal Article | LibreCat-ID: 54331
Hesse K. A lower bound for the worst-case cubature error on spheres of arbitrary dimension. Numerische Mathematik. 2006;103:413-433.
LibreCat
 
[9]
2006 | Book Chapter | LibreCat-ID: 54338
Hesse K, H. Sloan I. Hyperinterpolation on the sphere. In: Govil NK, Mhaskar HN, N. Mohapatra R, Nashed Z, Szabados J, eds. Frontiers in Interpolation and Approximation (Dedicated to the Memory of Ambikeshwar Sharma). Chapman & Hall/CRC; 2006:213-248.
LibreCat
 
[8]
2006 | Journal Article | LibreCat-ID: 54332
Hesse K, H. Sloan I. Cubature over the sphere S2 in Sobolev spaces of arbitrary order. Journal of Approximation Theory. 2006;141:118-133.
LibreCat
 
[7]
2005 | Book Chapter | LibreCat-ID: 54339
Hesse K, H. Sloan I. Optimal order integration on the sphere. In: Li T, Zhang P, eds. Frontiers and Prospects of Contemporary Applied Mathematics. Series in Contemporary Applied Mathematics CAM 6 . Higher Education Press und World Scientific; 2005:59-70.
LibreCat
 
[6]
2005 | Journal Article | LibreCat-ID: 54334
Hesse K, H. Sloan I. Worst-case errors in a Sobolev space setting for cubature over the sphere S2. Bulletin of the Australian Mathematical Society. 2005;71:81-105.
LibreCat
 
[5]
2005 | Journal Article | LibreCat-ID: 54333
Hesse K, H. Sloan I. Optimal lower bounds for cubature error on the sphere S2. Journal of Complexity. 2005;21:790-803.
LibreCat
 
[4]
2004 | Journal Article | LibreCat-ID: 54336
Hesse K, H. Sloan I. High-order numerical integration on the sphere and extremal point systems. Journal of Computational Technologies. 2004;9:4-12.
LibreCat
 
[3]
2002 | Journal Article | LibreCat-ID: 54335
Hesse K, Freeden W. 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. 2002;39:37-74.
LibreCat
 
[2]
2002 | Dissertation | LibreCat-ID: 54375
Hesse K. Domain Decomposition Methods in Multiscale Geopotential Determination from SST and SGG. Veröffentlicht beim Shaker Verlag; 2002.
LibreCat
 
[1]
1998 | Dissertation | LibreCat-ID: 54376
Hesse K. Wachstumsverhalten von Lösungen der $\overline{\partial}$-Gleichung auf Pseudo-Siegel-Gebieten.; 1998.
LibreCat
 
Marked Publication(s)

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25 Publications

Mark all

[25]
2022 | Journal Article | LibreCat-ID: 34633
Hesse K, Le Gia QT. L_2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data. Journal of Computational and Applied Mathematics. 2022;408. doi:10.1016/j.cam.2022.114118
LibreCat | DOI
 
[24]
2021 | Journal Article | LibreCat-ID: 34629
Hesse K, Sloan IH, Womersley RS. Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data. Journal of Computational and Applied Mathematics. 2021;382. doi:10.1016/j.cam.2020.113061
LibreCat | DOI
 
[23]
2020 | Book Chapter | LibreCat-ID: 34632
Hesse K. RBF-based penalized least-squares approximation of noisy scattered data on the sphere. In: Hickernell FJ, Kritzer P, eds. Multivariate Algorithms and Information-Based Complexity. De Gruyter; 2020:33-42.
LibreCat
 
[22]
2017 | Journal Article | LibreCat-ID: 34631
Hesse K, Sloan IH, Womersley RS. Radial basis function approximation of noisy scattered data on the sphere. Numerische Mathematik. 2017;137(3):579-605. doi:10.1007/s00211-017-0886-6
LibreCat | DOI
 
[21]
2016 | Conference Paper | LibreCat-ID: 54340
Hesse K. Neugestaltung der “Höheren Mathematik A, B und C für Elektrotechniker” -- Nutzung der Lehrmaterialien durch Studierende. In: Paravicini W, Schnieder J, eds. 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) . WTM-Verlag; 2016:86-102.
LibreCat
 
[20]
2015 | Conference Paper | LibreCat-ID: 54341
Hesse K. Online Tests for Evaluating Learning Success. In: Extended Abstract Der Khdm Conference 2015, 8 Seiten. (Dieser Extended Abstract Ist Online Publiziert Als Khdm-Report Zur Khdm Conference 2015.). ; 2015.
LibreCat
 
[19]
2012 | Journal Article | LibreCat-ID: 54322
Hesse K, S. Womersley R. Numerical integration with polynomial exactness over a spherical cap. Advances in Computational Mathematics. 2012;36:451-483.
LibreCat
 
[18]
2011 | Journal Article | LibreCat-ID: 54323
Hesse K. Complexity of numerical integration over spherical caps in a Sobolev space setting. Journal of Complexity. 2011;27:383-403.
LibreCat
 
[17]
2010 | Book Chapter | LibreCat-ID: 54337
Hesse K, H. Sloan I, S. Womersley Robert . Numerical integration on the sphere. In: Freeden W, Nashed Z, Sonar T, eds. Handbook of Geomathematics . Springer Verlag; 2010:1187-1220.
LibreCat
 
[16]
2009 | Journal Article | LibreCat-ID: 54324
Hesse K. The s-energy of spherical designs on S2. Advances in Computational Mathematics. 2009;30:37-59.
LibreCat
 
[15]
2008 | Journal Article | LibreCat-ID: 54326
Hesse K, Thong Le Gia Q. Local radial basis function approximation on the sphere. Bulletin of the Australian Mathematical Society. 2008;77:197-224.
LibreCat
 
[14]
2008 | Journal Article | LibreCat-ID: 54325
Hesse K, Leopardi P. The Coulomb energy of spherical designs on S2. Advances in Computational Mathematics. 2008;28:331-354.
LibreCat
 
[13]
2007 | Journal Article | LibreCat-ID: 54328
Hesse K, Y. Kuo F, H. Sloan I. A component-by-component approach to efficient numerical integration over products of spheres. Journal of Complexity. 2007;23:25-51.
LibreCat
 
[12]
2007 | Journal Article | LibreCat-ID: 54327
Hesse K, N  Mhaskar H, H. Sloan I. Quadrature in Besov spaces on the Euclidean sphere. Journal of Complexity. 2007;23:528-552.
LibreCat
 
[11]
2007 | Journal Article | LibreCat-ID: 54330
Hesse K, S. Brauchart J. Numerical integration over spheres of arbitrary dimension. Constructive Approximation. 2007;25:41-71.
LibreCat
 
[10]
2006 | Journal Article | LibreCat-ID: 54331
Hesse K. A lower bound for the worst-case cubature error on spheres of arbitrary dimension. Numerische Mathematik. 2006;103:413-433.
LibreCat
 
[9]
2006 | Book Chapter | LibreCat-ID: 54338
Hesse K, H. Sloan I. Hyperinterpolation on the sphere. In: Govil NK, Mhaskar HN, N. Mohapatra R, Nashed Z, Szabados J, eds. Frontiers in Interpolation and Approximation (Dedicated to the Memory of Ambikeshwar Sharma). Chapman & Hall/CRC; 2006:213-248.
LibreCat
 
[8]
2006 | Journal Article | LibreCat-ID: 54332
Hesse K, H. Sloan I. Cubature over the sphere S2 in Sobolev spaces of arbitrary order. Journal of Approximation Theory. 2006;141:118-133.
LibreCat
 
[7]
2005 | Book Chapter | LibreCat-ID: 54339
Hesse K, H. Sloan I. Optimal order integration on the sphere. In: Li T, Zhang P, eds. Frontiers and Prospects of Contemporary Applied Mathematics. Series in Contemporary Applied Mathematics CAM 6 . Higher Education Press und World Scientific; 2005:59-70.
LibreCat
 
[6]
2005 | Journal Article | LibreCat-ID: 54334
Hesse K, H. Sloan I. Worst-case errors in a Sobolev space setting for cubature over the sphere S2. Bulletin of the Australian Mathematical Society. 2005;71:81-105.
LibreCat
 
[5]
2005 | Journal Article | LibreCat-ID: 54333
Hesse K, H. Sloan I. Optimal lower bounds for cubature error on the sphere S2. Journal of Complexity. 2005;21:790-803.
LibreCat
 
[4]
2004 | Journal Article | LibreCat-ID: 54336
Hesse K, H. Sloan I. High-order numerical integration on the sphere and extremal point systems. Journal of Computational Technologies. 2004;9:4-12.
LibreCat
 
[3]
2002 | Journal Article | LibreCat-ID: 54335
Hesse K, Freeden W. 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. 2002;39:37-74.
LibreCat
 
[2]
2002 | Dissertation | LibreCat-ID: 54375
Hesse K. Domain Decomposition Methods in Multiscale Geopotential Determination from SST and SGG. Veröffentlicht beim Shaker Verlag; 2002.
LibreCat
 
[1]
1998 | Dissertation | LibreCat-ID: 54376
Hesse K. Wachstumsverhalten von Lösungen der $\overline{\partial}$-Gleichung auf Pseudo-Siegel-Gebieten.; 1998.
LibreCat
 
Marked Publication(s)

Search

Filter Publications

Display / Sort

Citation Style: AMA

Export / Embed