Publications

  1. O. Hansen, Zur globalen Existenz einer semilinearen Differentialgleichung, die sich aus einem zweidimensionalen Wechselwirkungsmodell ergibt, Zeitschrift fuer angewandte Mathematik und Mechanik, Vol. 74, T.639-641, 1994.

  2. O. Hansen, A local existence theorem for two parabolic equations with a nonlinear coupling, Zeitschrift fuer angewandte Mathematik und Mechanik, Vol. 76, 545-546, 1996.

  3. O. Hansen, On the solution of a special kind of singular integral equation, Journal of Integral Equations and Applications, Vol. 8, no. 4, 391-412, 1996.

  4. O. Hansen, A global existence theorem for two coupled semilinear diffusion equations from climate modeling, Discrete and Continuous Dynamical Systems, Vol. 3, no. 4, 541-564, 1997.

  5. O. Hansen, Ueber ein Quadraturverfahren zur Berechnung der Hilberttransformation nicht glatter Funktionen, Zeitschrift fuer angewandte Mathematik und Mechanik, Vol. 77, Supplement 2, S.563-564, 1997.

  6. J. Elschner, O. Hansen, A collocation method for the solution of the first boundary value problem of elasticity in a polygonal domain in R^2, Journal of Integral Equations and Applications, Vol. 11, 141-195, 1999.

  7. J. Elschner, O. Hansen, Ein Kollokationsverfahren zur numerischen Loesung der Lame-Gleichung in ebenen polygonalen Gebieten, Zeitschrift fuer angewandte Mathematik und Mechanik, Tagungsbeitrag, Vol. 79, 1999.

  8. O. Hansen, On a boundary integral method for the solution of the heat equation in unbounded domains with nonsmooth boundary, Journal of Integral Equations and Applications, Vol. 12, 2000.

  9. O. Hansen, On a boundary integral method for the solution of the heat equation, Zeitschrift fuer angewandte Mathematik und Mechanik, Tagungsbeitrag, Vol. 80, 2000.

  10. O. Hansen, A boundary integral method for the solution of a first kind integral equation for the heat equation in polygonal domains , Preprint Nr. 9 des Fachbereichs Mathematik der Johannes Gutenberg-Universitaet Mainz, submitted, 2000.

  11. O. Hansen, The local behavior of the solution of the radiosity equation on polyhedral domains in R^3 , SIAM Journal on Mathematical Analysis, Vol. 33, No. 3, 718-750, 2001.

  12. O. Hansen, On the Stability of the Collocation Method for the Radiosity Equation on Polyhedral Domains , IMA Journal of Numerical Analysis, Vol. 22, 463-479, 2002.

  13. O. Hansen, On the essential norm of the double layer potential on polyhedral domains and the stability of the collocation method, Journal of Integral Equations and Applications, Vol. 13, No. 3, 207-235, 2001.

  14. O. Hansen, The Mapping Properties of the Radiosity Operator along an Edge, Mathematical Methods in the Applied Sciences, Vol. 25, 1075-1090, 2002.

  15. O. Hansen, The Radiosity Equation on certain Spaces of Continuous Functions and its Numerical Solution, Journal of Integral Equations and Applications, Vol. 15, 2, 153-202, 2003.

  16. O. Hansen, A fast collocation method for the radiosity equation, based on the hierarchical algorithm of P. Hanrahan and D. Salzman: The 1d case, Advances in Computational Mathematics, No. 22, 353-375, 2005.

  17. O. Hansen, The asymptotic behavior of the spectrum of the reflection operator on conical surfaces, Integral Equations and Operator Theory, Vol. 52, No. 4, 483-503, 2003.

  18. S. Fischer, O. Hansen, R. Ramlau, Regularization of Mellin-type inverse Problems with an application to oil engineering, Linear Algebra and its Applications, Vol. 391, 125-147, 2004.

  19. A. Juengel, O. Hansen, Analysis of a Spherical Harmonics Expansion Model of Plasma Physics, Mathematical Models & Methods in the Applied Sciences, Vol. 14, No. 5, 759-774, 2004.

  20. O. Hansen, Orthogonal Polynomials for the Solution of Semilinear two-point Boundary Value Problems, Journal of Integral Equations and Applications, Vol. 17, No. 4, 397-412, 2005.

  21. K. Atkinson, O. Hansen, Solving the Nonlinear Poisson Equation on the Unit Disk, Journal of Integral Equations and Applications, Vol. 17, 3, 223--241, 2005.

  22. K. Atkinson, D. Chien, O. Hansen, On the norm of the hyperinterpolation operator on the unit disk, IMA Journal of Numerical Analysis, Vol. 29, No. 2, 257-283, 2009.

  23. K. Atkinson, D. Chien, O. Hansen, A Spectral Method for Elliptic Equations: The Dirichlet problem, Adv. Comput. Math., 33, no. 2, 169-189, 2010.

  24. K. Atkinson, D. Chien, O. Hansen, A Spectral Method for Elliptic Equations: The Neumann problem, Adv. Comput. Math., 34, no. 3, 295-317, 2011.

  25. K. Atkinson, O. Hansen, A Spectral Method for the Eigenvalue Problem for Elliptic Equations, Electron. Trans. Numer. Anal., 37, 386-412, 2010.

  26. K. Atkinson, O. Hansen, Creating Domain Mappings, Electron. Trans. Numer. Anal., 39, 202-230, 2012.

  27. K. Atkinson, D. Chien, O. Hansen, A spectral method for parabolic differential equations, Numer. Algorithms, 63, no. 2, 213-237, 2013.

  28. K. Atkinson, D. Chien, O. Hansen, Evaluating Polynomials over the Unit Disk and the Unit Ball, Numer. Algorithms, 67, no. 4, 691-711, 2014.

  29. K. Atkinson, D. Chien, O. Hansen, A Spectral Method for Nonlinear Elliptic Equations, Numer. Algorithms, 74, no. 3, 797-819, 2017.

  30. K. Atkinson, D. Chien, O. Hansen, A spectral method for the biharmonic equation, Contemporary computational mathematics—a celebration of the 80th birthday of Ian Sloan. Vol. 1, 2, 97–118, Springer, Cham, 2018.

  31. K. Atkinson, D. Chien, O. Hansen, A spectral method for an elliptic equation with a nonlinear Neumann boundary conditions, Numer. Algorithms, 81, no. 1, 313-344, 2019.

  32. K. Atkinson, D. Chien, O. Hansen, A Multivariate quadrature of a singular integrand, Adv. Comput. Math., 47, no. 3, 44-71, 2021.

  33. K. Atkinson, D. Chien, O. Hansen, Constructing diffeomorphisms between simply connected plane domains, Electron. Trans. Numer. Anal., 55, 671-686, 2022.

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