Publications of Daan Huybrechs

period 2008 - 2013

Articles in internationally reviewed journals

19 references
  • Adcock, Ben; Huybrechs, Daan; Martin Vacquero, Jesus. On the numerical stability of Fourier extensions, Foundations of Computational Mathematics, 2013 (Accepted) BibTeX
  • Asheim, Andreas; Deaño Cabrera, Alfredo; Huybrechs, Daan; Wang, Haiyong. A Gaussian quadrature rule for oscillatory integrals on a bounded interval, Discrete and Continuous Dynamical Systems, 2013 (Accepted) BibTeX
  • Wang, Haiyong; Huybrechs, Daan; Vandewalle, Stefan. Explicit barycentric weights for polynomial interpolation in the roots or extrema of classical orthogonal polynomials, Mathematics of Computation, 2013 (Accepted) BibTeX
  • Wang, Haiyong; Zhang, Lun; Huybrechs, Daan. Asymptotic expansions and fast computation of oscillatory Hilbert transforms, Numerische Mathematik, volume 123, issue 4, pages 709-743, 2013 DOI BibTeX
  • Asheim, Andreas; Huybrechs, Daan. Complex Gaussian quadrature for oscillatory integral transforms, IMA Journal of Numerical Analysis, 2012 (Accepted) BibTeX
  • Atak, Onur; Bergen, Bart; Huybrechs, Daan; Pluymers, Bert; Desmet, Wim. Coupling of Boundary Element and Wave Based Methods for the efficient solution of complex multiple scattering problems, Journal of Computational Physics, 2012 (Submitted) BibTeX
  • Huybrechs, Daan; Olver, Sheehan. Superinterpolation in highly oscillatory quadrature, Foundations of Computational Mathematics, volume 12, issue 2, pages 203-228, 2012 DOI BibTeX
  • Huybrechs, Daan; Iserles, Arieh; Nørsett, Syvert. From high oscillation to rapid approximation IV: Accelerating convergence, IMA Journal of Numerical Analysis, volume 31, issue 2, pages 442-468, 2011 DOI BibTeX
  • Huybrechs, Daan; Iserles, Arieh; Nørsett, Syvert. From high oscillation to rapid approximation V: The equilateral triangle, IMA Journal of Numerical Analysis, volume 31, issue 3, pages 755-785, 2011 BibTeX
  • Asheim, Andreas; Huybrechs, Daan. Local solutions to high frequency 2D scattering problems, Journal of Computational Physics, volume 229, issue 14, pages 5357-5372, 2010 BibTeX
  • Asheim, Andreas; Huybrechs, Daan. Asymptotic analysis of numerical steepest descent with path approximations, Foundations of Computational Mathematics, volume 10, issue 6, pages 647-671, 2010 BibTeX
  • Deano, Alfredo; Huybrechs, Daan; Kuijlaars, Arno. Asymptotic zero distribution of complex orthogonal polynomials associated with Gaussian quadrature, Journal of Approximation Theory, volume 162, issue 12, pages 2202-2224, 2010 BibTeX
  • Honnor, Mick; Trevelyan, Jon; Huybrechs, Daan. Numerical evaluation of 2D partition of unity boundary integrals for Helmholtz problems, Journal of Computational and Applied Mathematics, volume 234, issue 6, pages 1656-1662, 2010 BibTeX
  • Huybrechs, Daan. On the Fourier extension of non-periodic functions, SIAM Journal on Numerical Analysis, volume 47, issue 6, pages 4326-4355, 2010 intranet BibTeX
  • Cools, Ronald; Huybrechs, Daan; Nuyens, Dirk. Recent topics in numerical integration, International Journal of Quantum Chemistry, volume 109, issue 8, pages 1748-1755, 2009 DOI intranet BibTeX
  • Deaño, Alfredo; Huybrechs, Daan. Complex Gaussian quadrature of oscillatory integrals, Numerische Mathematik, volume 112, issue 2, pages 197-219, 2009 intranet BibTeX
  • Huybrechs, Daan. Stable high-order quadrature rules with equidistant points, Journal of Computational and Applied Mathematics, volume 231, issue 2, pages 933-947, 2009 DOI intranet BibTeX
  • Huybrechs, Daan; Cools, Ronald. On generalized Gaussian quadrature rules for singular and nearly singular integrals, SIAM Journal on Numerical Analysis, volume 47, issue 1, pages 719-739, 2009 DOI intranet BibTeX
  • Huybrechs, Daan; Vandewalle, Stefan. An efficient implementation of boundary element methods for computationally expensive Green's functions, Engineering Analysis with Boundary Elements, volume 32, issue 8, pages 621-632, 2008 BibTeX

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Article in book, internationally recognised scientific publisher

3 references
  • Boettcher, Albrecht; Grudsky, Sergei; Huybrechs, Daan; Iserles, Arieh. First-order trace formulae for the iterates of the Fox–Li operator, Ball, J. A.; Dym, H.; Kaashoek, M. A.; Langer, H.; Tretter, C (eds.), Springer, 2012 BibTeX
  • Huybrechs, Daan; Olver, Sheehan. Highly oscillatory quadrature, Engquist, B.; Fokas, T.; Hairer, E.; Iserles, A (eds.), Cambridge University Press, 2009 BibTeX
  • Huybrechs, Daan; Olver, Sheehan. Rapid function approximation by modified Fourier series, Engquist, B.; Fokas, T.; Hairer, E.; Iserles, A (eds.), Cambridge University Press, 2009 BibTeX

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Papers at international conferences and symposia, published in full in proceedings

8 references
  • Atak, Onur; Huybrechs, Daan; Pluymers, Bert; Desmet, Wim. A hybrid Boundary Element - Wave Based Method for 3D acoustic multiple scattering problems, ISMA2012 International Conference on Noise and Vibration Engineering, Leuven, 17-19 September 2012 BibTeX
  • Adcock, Ben; Huybrechs, Daan. Multivariate modified Fourier expansions, Hesthaven, J. S.; Ronquist, E. M (eds.), International Conference on Spectral and High Order Methods, Trondheim, Norway, 22-26 June 2009, Proceedings of the International Conference on Spectral and High Order Methods 2009, pages 85-92, Springer, 2011 DOI BibTeX
  • Adcock, Ben; Huybrechs, Daan. Accuracy of the Fourier extension method for oscillatory phenomena, International Conference on the Mathematical and Numerical Aspects of Waves, Vancouver, 25-29 July 2011, Proceedings of the 10th International Conference on the Mathematical and Numerical Aspects of Waves, pages 289-292, Pacific Institute for the Mathematical Sciences BibTeX
  • Asheim, Andreas; Huybrechs, Daan. High-frequency scattering with extraction of uniformly accurate phase, International Conference on the Mathematical and Numerical Aspects of Waves, Vancouver, 25-29 July 2011, Proceedings of the 10th International Conference on the Mathematical and Numerical Aspects of Waves, pages 615-618, Pacific Institute for the Mathematical Sciences BibTeX
  • Atak, Onur; Bergen, Bart; Huybrechs, Daan; Pluymers, Bert; Desmet, Wim. Application of a Hybrid Boundary Element Wave Based Method on a 2D Multiple Scatterer Problem, International Congress on Sound & Vibration, Rio De Janeiro, Brazil, 10-14 July 2011 BibTeX
  • Atak, Onur; Bergen, Bart; Huybrechs, Daan; Pluymers, Bert; Desmet, Wim. A hybrid Boundary Element - Wave Based Method in a Multi-Level concept for steady-state 2D acoustic analysis, International Conference on Structural Dynamics, Leuven, Belgium, 4-6 July 2011 BibTeX
  • Huybrechs, Daan. Superinterpolation in highly oscillatory quadrature, Hairer, Ernst; Hochbruck, Marlis; Iserles, Arieh; Lubich, Christian (eds.), Geometric Numerical Integration, Oberwolfach, 20-26 March 2011, Oberwolfach Reports, volume 8, issue 1, pages 826-829, European Mathematical Society BibTeX
  • Asheim, Andreas; Huybrechs, Daan. The computation of local solutions to high frequency scattering problems, Barucq, H (ed.), International Conference on the Mathematical and Numerical Aspects of Waves Propagation, Pau, France, 15-19 June 2009, Proceedings of the 8th International Conference on Mathematical and Numerical Aspects of Waves, pages 216-217 BibTeX

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Meeting abstracts, presented at international conferences and symposia

17 references
  • Huybrechs, Daan. Computing with functions on non-rectangular domains, Chebfun and Beyond, Oxford, UK, 17-19 September 2012 BibTeX
  • Huybrechs, Daan. A generalization of Chebyshev polynomials to higher dimensions, 1st Joint Conference of the Belgian, Royal Spanish and Luxembourg Mathematical Societies, Liège, Belgium, 6-8 June 2012 BibTeX
  • Huybrechs, Daan. Numerical-asymptotic methods for solving the Helmholtz equation in the high-frequency regime, Boundary Value Problems for linear elliptic and integrable PDEs: theory and computation, Edinburgh, UK, 28 May - 1 June 2012 BibTeX
  • Huybrechs, Daan. Efficient and general representations of highly oscillatory functions, International Congress on Industrial and Applied Mathematics, Vancouver, Canada, 18-22 July 2011 BibTeX
  • Huybrechs, Daan; Asheim, Andreas. High-frequency scattering by smooth convex bodies, Foundations of Computational Mathematics, Budapest, Hungary, 4-14 July 2011 BibTeX
  • Huybrechs, Daan. Fourier series, Chebyshev polynomials and the Gibbs phenomenon on triangular domains, International Conference on Computational and Applied Mathematics, Leuven, Belgium, 5-9 July 2010 BibTeX
  • Huybrechs, Daan. Fourier series on triangles and higher-dimensional simplices, Sparsity and Modern Mathematical Methods for High Dimensional Data, Brussels, 6-10 April 2010 BibTeX
  • Huybrechs, Daan. Fourier series on triangles and tetrahedra, European Science Foundation Research Conference on Highly Oscillatory Problems, Cambridge, UK, 12-17 September 2010 BibTeX
  • Huybrechs, Daan. On the Fourier extension of non-periodic functions, 2009 International Conference on Scientific Computation and Differential Equations, Beijing, China, 25-29 May 2009 BibTeX
  • Huybrechs, Daan. Local solutions to highly oscillatory integral equations, The Mathematics of Finite Elements and Applications, Brunel, UK, 9-12 June 2009 BibTeX
  • Huybrechs, Daan. On the Fourier extension of non-periodic functions, Leslie Fox Prize Meeting, Warwick, UK, 29 June 2009 BibTeX
  • Huybrechs, Daan. Multivariate modified Fourier expansions, International Conference on Spectral and High Order Methods 2009, Trondheim, Norway, 22-26 June 2009 BibTeX
  • Huybrechs, Daan. Singular and highly oscillatory integrals, 2009 International Conference on Scientific Computation and Differential Equations, Beijing, China, 25-29 May 2009 BibTeX
  • Asheim, Andreas; Huybrechs, Daan. High frequency wave scattering problems, part II, Manifolds and Geometric Integration (MaGIC'08), Renon, Italy, 18-21 February 2008 BibTeX
  • Huybrechs, Daan. Hybrid numerical-asymptotic schemes for high-frequency scattering problems, Advanced Computational Methods in Engineering (Acomen08), Liège, Belgium, 26-28 May 2008 BibTeX
  • Huybrechs, Daan. Numerical and asymptotic methods for multivariate oscillatory integrals, Foundations of Computational Mathematics, City University Hong Kong, 16-26 June 2008 BibTeX
  • Huybrechs, Daan; Asheim, Andreas. High frequency wave scattering, part I, Manifolds and Geometric Integration (MaGIC'08), Renon, Italy, 18-21 February 2008 BibTeX

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Meeting abstracts, presented at other conferences and symposia

3 references
  • Huybrechs, Daan. On the Fourier extension of non-periodic functions, Applied and Computational Analysis Graduate Seminar, Cambridge, UK, 5 June 2009 BibTeX
  • Huybrechs, Daan. Local solutions to highly oscillatory integral equations, Numerical Analysis Seminars, University of Reading, Department of Mathematics, 18 May 2009 BibTeX
  • Huybrechs, Daan. Efficient computations in high-frequency scattering simulations, Seminar über Partielle Differentialgleichungen und Numerik, University of Zurich, Department of Mathematics, 15 May 2008 BibTeX

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Internal reports

16 references
  • Adcock, Ben; Huybrechs, Daan; Martín-Vaquero, Jesús. On the numerical stability of Fourier extensions, TW Reports, volume TW615, 33 pages, Department of Computer Science, KU Leuven, Leuven, Belgium, June 2012 PDF BibTeX
  • Asheim, Andreas; Deaño Cabrera, Alfredo; Huybrechs, Daan; Wang, Haiyong. A Gaussian quadrature rule for oscillatory integrals on a bounded interval, TW Reports, volume TW621, 26 pages, Department of Computer Science, KU Leuven, Leuven, Belgium, December 2012 PDF BibTeX
  • Adcock, Ben; Huybrechs, Daan. On the resolution power of Fourier extensions for oscillatory functions, TW Reports, volume TW597, 30 pages, Department of Computer Science, K.U.Leuven, Leuven, Belgium, May 2011 PDF BibTeX
  • Asheim, Andreas; Huybrechs, Daan. Complex Gaussian quadrature for oscillatory integral transforms, TW Reports, volume TW594, 20 pages, Department of Computer Science, K.U.Leuven, Leuven, Belgium, May 2011 PDF BibTeX
  • Wang, Haiyong; Huybrechs, Daan; Vandewalle, Stefan. Explicit barycentric weights for polynomial interpolation in the roots or extrema of classical orthogonal polynomials, TW Reports, volume TW604, 21 pages, Department of Computer Science, K.U.Leuven, Leuven, Belgium, December 2011 PDF BibTeX
  • Wang, Haiyong; Zhang, Lun; Huybrechs, Daan. Asymptotic expansions and fast computation of oscillatory Hilbert transforms, TW Reports, volume TW605, 31 pages, Department of Computer Science, K.U.Leuven, Leuven, Belgium, December 2011 PDF BibTeX
  • Boettcher, A.; Grudsky, S.; Huybrechs, Daan; Iserles, A.. First-order trace formulas for the iterates of the Fox-Li operator, Cambridge, UK, 2010 BibTeX
  • Deaño, Alfredo; Huybrechs, Daan; Kuijlaars, Arno. Asymptotic zero distribution of complex orthogonal polynomials associated with Gaussian quadrature, TW Reports, volume TW557, 32 pages, Department of Computer Science, K.U.Leuven, Leuven, Belgium, January 2010 PDF BibTeX
  • Huybrechs, Daan; Olver, Sheehan. Superinterpolation in highly oscillatory quadrature, TW Reports, volume TW569, 23 pages, Department of Computer Science, K.U.Leuven, Leuven, Belgium, June 2010 PDF BibTeX
  • Asheim, Andreas; Huybrechs, Daan. Asymptotic analysis of numerical steepest descent with path approximations, TW Reports, volume TW536, 21 pages, Department of Computer Science, K.U.Leuven, Leuven, Belgium, March 2009 PDF BibTeX
  • Huybrechs, Daan. On the Fourier extension of non-periodic functions, TW Reports, volume TW534, 33 pages, Department of Computer Science, K.U.Leuven, Leuven, Belgium, January 2009 PDF BibTeX
  • Huybrechs, Daan; Iserles, Arieh; Nørsett, Syvert. From high oscillation to rapid approximation V: The equilateral triangle, Cambridge NA Reports, issue NA2009/04, July 2009 intranet BibTeX
  • Asheim, Andreas; Huybrechs, Daan. Local solutions to high frequency 2D scattering problems, TW Reports, volume TW524, 24 pages, Department of Computer Science, K.U.Leuven, Leuven, Belgium, June 2008 PDF BibTeX
  • Huybrechs, Daan. Stable high-order quadrature rules with equidistant points, TW Reports, volume TW528, 18 pages, Department of Computer Science, K.U.Leuven, Leuven, Belgium, September 2008 PDF BibTeX
  • Huybrechs, Daan; Cools, Ronald. On generalized Gaussian quadrature rules for singular and nearly singular integrals, TW Reports, volume TW523, 21 pages, Department of Computer Science, K.U.Leuven, Leuven, Belgium, May 2008 PDF BibTeX
  • Huybrechs, Daan; Deaño, Alfredo. Complex Gaussian quadrature of oscillatory integrals, TW Reports, volume TW519, 22 pages, Department of Computer Science, K.U.Leuven, Leuven, Belgium, March 2008 PDF BibTeX

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No publications found for the period 2008-2013 and the types

  • Articles in other journals
  • Books, internationally recognised scientific publisher; as author
  • Other published books; as author
  • Books, internationally recognised scientific publisher; as editor
  • Other published books; as editor
  • Article in other published book
  • Papers at other conferences and symposia, published in full in proceedings
  • Thesis
  • Review
  • Translation without scientific introduction
  • Scientific popularisation
  • Misc.
  • External reports
 
Last update local database Sun May 12 2013 0:18 am; It contains 103 publications of Daan Huybrechs.

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