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