Aktuelles Jahr

Aktuelle Publikationen des Departments Mathematik

Published:

• P. Berkel, D. Fischer, V. Michel
  Spline multiresolution and numerical results for joint gravitation and normal mode inversion with an outlook on sparse regularisation, International Journal on Geomathematics 1, 167 -204, 2011.

Preprints:

• J. Jahnel und A.-S. Elsenhans
  On Weil polynomials of K3 surfaces, to appear in Proceedings of ANTS9.


• J. Jahnel und A.-S. Elsenhans
  On the Brauer--Manin obstruction for cubic surfaces, to appear in Journal of Combinatorics and Number Theory.


• J. Jahnel und A.-S. Elsenhans
  Cubic surfaces with a Galois invariant double-six, to appear in Central European Journal of Mathematics.


• J. Jahnel und A.-S. Elsenhans
  On the smallest point on a diagonal cubic surface, to appear in Experimental Mathematics.


• U. Koschorke:
  Fixed Points and Coincidences in Torus Bundles, to appear in J. of Topology and Analysis: pdf


• U. Koschorke:
  Minimum numbers and Wecken theorems in topological coincidence theory, to appear in J. Fixed Point Theory Applic. (2011)


• P. Berkel, V. Michel
  On mathematical aspects of a combined inversion of gravity and normal mode variations by a spline method, preprint, Schriften zur Funktionalanalysis und Geomathematik, 41, 2008.


• A.S. Fokas, V. Michel
  Electro-magneto-encephalography for the three-shell model: numerical implementation for distributed current in spherical geometry, preprint NI09031, of the Isaac Newton Institute for Mathematical Sciences, 2009.


• V. Michel
  Tomography - problems and multiscale solutions, contribution to the monograph "Handbook of Geomathematics", (W. Freeden, M.Z. Nashed, T. Sonar, eds.), accepted for publication, 2009.


• N. Akhtar, V. Michel
  Reproducing Kernel Based Splines for the Regularization of the Inverse Spheroidal Gravimetric Problem, preprint, Siegen Preprints on Geomathematics, 4 (2011)


• D. Fischer, V. Michel
  Sparse Regularization of Inverse Gravimetry – Case Study: Spatial and Temporal Mass Variations in South America, preprint, Siegen Preprints on Geomathematics, 5 (2011)


• F.-T. Suttmeier
  Localised FE-analysis of Strang's problem based on Lagrange techniques. J. Numer. Math, to appear 2010


• F.-T. Suttmeier
  On plasticity with hardening: An adaptive finite element discretisation. International Mathematical Forum, to appear 2010

Eingereicht:

• J. Jahnel
  - Picard group of a K3 surface and its reduction modulo p
  - On the computation of the Picard group for K3 surfaces
  - Cubic surfaces with a Galois invariant pair of Steiner trihedra
  - More cubic surfaces violating the Hasse principle
  - The discriminant of a cubic surface
  - The Diophantine Equation x^4 + 2 y^4 = z^4 + 4 w^4 --- A number of improvements
  - The Fibonacci sequence modulo p2 --- An investigation by computer for p < 10^14
  - On the distribution of small points on abelian and toric varieties