Accepted for Publication

Mayer, Jan: Parallel Algorithms for Solving Linear Systems with Sparse Triangular Matrices. To appear in Computing.

Papers in Refereed Journals

Mayer, Jan: A Numerical Evaluation of Preprocessing and ILU-type Preconditioners for the Solution of Unsymmetric Sparse Linear Systems Using Iterative Methods. ACM Trans. on Math. Software. 36, No. 1, (2009) 1-26.

Mayer, Jan: Symmetric Permutations for I-matrices to Delay and Avoid Small Pivots During Factorization. SIAM J. Sci. Comput. 30, No. 2, (2008) 982-996.

Mayer, Jan: A Multilevel Crout ILU Preconditioner with Pivoting and Row Permutation. Numerical Linear Algebra with Applications 14, No. 10, (2007) 771-789.

Mayer, Jan: Alternative weighted dropping strategies for ILUTP. SIAM J. Sci. Comput. 27, No. 4, (2006) 1424-1437.

Mayer, Jan: ILUCP: a Crout ILU preconditioner with pivoting. Numerical Linear Algebra with Applications 12, No. 9, (2005) 941-955.

Alefeld, Götz; Frommer, Andreas; Heindl, Gerhard; Mayer, Jan: On the existence theorems of Kantorovich, Miranda and Borsuk. Elec. Trans. Numer. Anal. 17, (2004) 102-111.

Mayer, Jan: A generalized theorem of Miranda and the theorem of Newton-Kantorovich. Numer. Funct. Anal. Optimization 23, No.3-4, (2002) 333-357.

Mayer, Jan: An approach to overcome division by zero in the interval Gauss algorithm. Reliab. Comput. 8, No.3, (2002) 229-237.

Mayer, Jan: Morphisms between the moduli spaces of curves with generalized Teichmüller structure. Manuscr. Math. 107, No.2, (2002) 229-249. (Excerpt of the dissertation).

Papers in Conference Proceedings

Mayer, Jan: ILU++: A new Software Package for Solving Sparse Linear Systems with Iterative Methods. PAMM. (submitted).

Mayer, Jan: Some new Developments for ILU-Preconditioners. PAMM 6, No. 1, (2006) 573-574.

Mayer, Jan: The ILUCP Preconditioner. PAMM 4, No. 1, (2004) 676-677.

Mayer, Jan: On Existence Theorems for Solutions of Non-Linear Systems. PAMM 2, No. 1, (2003) 489-490.

Preprints

Mayer, Jan: Parallel Algorithms for Solving Linear Systems with Sparse Triangular Matrices. Preprint 08/07. (2008) 23 pages.

Mayer, Jan: A Numerical Evaluation of Preprocessing and ILU-type Preconditioners for the Solution of Unsymmetric Sparse Linear Systems Using Iterative Methods, Universität Karlsruhe. Preprint 07/05. (2007) 25 pages.

Mayer, Jan: Symmetric Permutations for I-matrices to Delay and Avoid Small Pivots During Factorization. Institut für Wissenschaftliches Rechnen und Mathematische Modellbildung, Universität Karlsruhe. Preprint 06/08. (2006) 15 pages.

Mayer, Jan: ILUCDP: A Multilevel Crout ILU Preconditioner with Pivoting and Row Permutation. Institut für Wissenschaftliches Rechnen und Mathematische Modellbildung, Universität Karlsruhe. Preprint 05/06. (2005) 19 pages.

Mayer, Jan: ILUCDP: A Crout ILU Preconditioner with Pivoting and Row Permutation. Institut für Wissenschaftliches Rechnen und Mathematische Modellbildung, Universität Karlsruhe. Preprint 05/04. (2005) 17 pages.

Mayer, Jan: The ILUCP Preconditioner. Institut für Wissenschaftliches Rechnen und Mathematische Modellbildung, Universität Karlsruhe. Preprint 04/02. (2004) 11 pages.

Mayer, Jan: A Weighted Dropping Strategy for ILUTP. Institut für Wissenschaftliches Rechnen und Mathematische Modellbildung, Universität Karlsruhe. Preprint 03/05. (2003) 12 pages.

Mayer, Jan: A Generalized Theorem of Miranda and the Theorem of Newton-Kantorovich. Preprintreihe der Fakultät für Mathematik, Universität Karlsruhe. Preprint 28. (2001) 22 pages.

Dissertation

Mayer, Jan: Morphismen zwischen Modulräumen von Kurven mit verallgemeinerter Teichmüller-Markierung. (German) Dissertation, Universität Karlsruhe (2000).

Diplomarbeit

Mayer, Jan: Kohomologie der reellen entfalteten Lie-Algebra vom Typ G₂. (German) not published (1996).