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Articles and preprints of Terje O. Espelid


Publications since 1991

  • T. O. Espelid "Globally Doubly Adaptive Quadrature - Reliable Matlab Codes", Published electronically in ACM Transactions on Mathematical Software (ACM TOMS, August 2007).
  • T. O. Espelid and J. Berntsen "Coriolis weighting on unstructured staggered grids", Ocean Modelling, 16 (2007) 61-75.
  • T. O. Espelid "Computation of an infinite integral using series acceleration", Numer. Alg. 2005, 40: 17-22.
  • T. O. Espelid, A. Maus, S. Nordbotten, K. Skog and S. Sølvberg "The development of Research and Curricula at the Norwegian Universities: from the early years until the mid 70-ties", in Proceedings HINC, IFIP, Springer Boston, 2005; 137-153.
  • T. O. Espelid "A test of QUADPACK and Four Doubly Adaptive Quadrature Routines", Tech. Report no. 281, Dept. of Informatics, University of Bergen, October 2004. View the .ps file or the .pdf file
  • T. O. Espelid "Extended Doubly Adaptive Quadrature Routines", Tech. Report no. 266, Dept. of Informatics, University of Bergen, February 2004. View the .ps file or the .pdf file
  • T. O. Espelid "Doubly adaptive quadrature routines based on Newton-Cotes rules", BIT 2003 43: 319-337, view the .pdf file
  • T. O. Espelid "Doubly adaptive quadrature routines based on Newton-Cote rules", Tech. Report no. 229, Dept. of Informatics, University of Bergen, May 2002. View the .ps file or the .pdf file
  • H. Avlesen, J. Berntsen and T. O. Espelid A convergence study of two ocean models applied to a density driven flow", Int. J. Numer. Meth. Fluids 2001; 36: 639-657.
  • T.O. Espelid, J. Berntsen and K. Barthel "Conservation of Energy for schemes applied to the propagation of shallow-water inertia-gravity waves in regions with varying depth", Int. J. Numer. Meth. Engng. 2000, 49: 1521-1545. View the .ps file or the .pdf file
  • K. Singstad and T. O. Espelid "Integrating composed singularities using nonuniform subdivision and extrapolation", Journal of Comp. and Applied Math., 112(1999) 291-308. View the .ps file or the .pdf file
  • T.O. Espelid and J. Berntsen "Stability of different schemes applied to the propagation of shallow water inertia-gravity waves in regions with varying depth", Tech. Report 136, Dept. of Informatics, Univ. of Bergen, Norway, June 1997.
  • J. Berntsen, M. Skogen and T.O. Espelid " Description of a sigma-coordinate ocean model", Tech. Report 12, Fisken og Havet, Inst. of Marine Research, Bergen, 1996b.
  • T. O. Espelid "On floating-point summation", SIAM Review, 37(4), 1995 (603-607). View the .ps file or the .pdf file
  • T.O. Espelid and J. Berntsen "Propagation of Shallow Water Inertia-Gravity Waves Fractional Step Methods " Tech. Report 100, Dept. of Mathematics, Univ. of Bergen, Norway, July 1995.
  • T. O. Espelid and A. Genz "DECUHR: An Algorithm for Automatic Integration of Singular Functions over a Hyperrectangular Region", Numerical Algorithms, 8, 1994 (201-220). View the .ps file or the .pdf file
  • T. O. Espelid and K. J. Overholt "DQAINF: An Algorithm for Automatic Integration of Infinite Oscillating Tails", Numerical Algorithms, 8, 1994 (83-101). View the .ps file or the .pdf file
  • T. O. Espelid "On integrating Vertex Singularities using Extrapolation" , BIT 34, 1994 (pp. 62--79).
  • T. O. Espelid "Integrating singularities using non-uniform subdivision and extrapolation", Intern. Series of Numerical Math., vol. 112, H. Brass and G. H\"ammerlin (eds), 1993 (pp 77-89). View the .ps file or the .pdf file
  • J. Berntsen, R. Cools and T. O. Espelid "DCUTET: An Algorithm for Adaptive Cubature over a Collection of Tetrahedrons", ACM Trans. Math. Softw., 19(3), 1993 (320-332).
  • J. Berntsen and T. O. Espelid "DCUTRI: An Algorithm for Adaptive Cubature over a Collection of Triangles", ACM Trans. Math. Softw., 18(3), 1992 (pp. 329-342).
  • T. O. Espelid "DQAINT: An Algorithm for Adaptive Quadrature over a Collection of Finite Intervals", in Numerical Integration, Recent Developments, Software and Applications, T. O. Espelid and A. Genz (eds), NATO ASI Series C: Mathematical and Physical Sciences - Vol. 357, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1992 ( pp. 367).
  • T. O. Espelid and A. Genz (eds) "Numerical Integration, Recent Developments, Software and Applications", NATO ASI Series C: Mathematical and Physical Sciences - Vol. 357, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1992 ( pp. 367).
  • T. O. Espelid and A. Genz "On the Subdivision Strategy in Adaptive Cubature Algorithms for Triangular Regions", Tech. Report 74, Dept. of Informatics, Univ. of Bergen, Norway, 1992.
  • J. Berntsen, T. O. Espelid and A. Genz "Algorithm 698: DCUHRE: An Adaptive Multidimensional Integration Routine for a Vector of Integrals", ACM Trans. Math. Softw., 17,4(1991), pp 452-456.
  • J. Berntsen, T. O. Espelid and A. Genz "An Adaptive Algorithm for the Approximate Calculation of Multiple Integrals" ACM Trans. Math. Soft., 17,4,1991, pp 437-451.
  • J. Berntsen and T. O. Espelid "Error Estimation in Automatic Quadrature Routines", ACM Trans. on Math. Software, 17,2(1991), pp 233-252.
  • J. Berntsen, T. O. Espelid and T. Sørevik "On the subdivision strategy in adaptive quadrature algorithms", Journal of Comp. and Applied Math., 35(1991) 119-132.

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