JOHANN RADON INSTITUTE FOR COMPUTATIONAL AND APPLIED MATHEMATICS ANNUAL REPORT 2005 AUSTRIAN ACADEMY OF SCIENCES Annual Report 2005 Johann Radon Institute for Computational and Applied Mathematics PERIOD: 1.1.2005- 31.12.2005 DIRECTOR: Prof. Heinz W. Engl ADDRESS: Altenbergerstr. 69 A-4040 Linz 1/150 JOHANN RADON INSTITUTE FOR COMPUTATIONAL AND APPLIED MATHEMATICS ANNUAL REPORT 2005 Content 1. THE DEVELOPMENT OF THE INSTITUTE IN GENERAL.............................................................. 4 Personnel....................................................................................................................................................... 4 Office Space................................................................................................................................................... 7 IT Infrastructure ............................................................................................................................................ 7 2. THE SCIENTIFIC ACHIEVEMENTS AND PLANS OF THE INSTITUTE..................................... 10 2.1. GROUP “COMPUTATIONAL METHODS FOR DIRECT FIELD PROBLEMS”............................................... 10 Introduction by Group Leader Prof. Ulrich Langer.................................................................................... 10 Almedin Becirovic ....................................................................................................................................... 12 Dr.Gergana Bencheva................................................................................................................................. 13 Dr. Marco Discacciati................................................................................................................................. 15 Robert Gaisbauer ........................................................................................................................................ 17 Dr. Johannes Kraus..................................................................................................................................... 18 David Pusch ................................................................................................................................................ 19 Dr. Joachim Schöberl.................................................................................................................................. 21 Dr. Satyendra Tomar................................................................................................................................... 23 Sabine Zaglmayr.......................................................................................................................................... 25 2.2. GROUP “INVERSE PROBLEMS” ............................................................................................................ 28 Introduction by Group Leader Prof. Heinz W. Engl.................................................................................... 28 PD Dr. Ronny Ramlau................................................................................................................................. 29 Prof. Dr. Sergei Pereverzyev....................................................................................................................... 31 Cao Hui ....................................................................................................................................................... 34 Lu Shuai....................................................................................................................................................... 35 Dr. Arnd Rösch............................................................................................................................................ 35 Svetlana Cherednichenko ............................................................................................................................ 38 Nataliya Metla............................................................................................................................................. 39 Klaus Krumbiegel........................................................................................................................................ 40 Andreas Hofinger ........................................................................................................................................ 42 Dr. Elena Resmerita .................................................................................................................................... 43 Rainer Stütz ................................................................................................................................................. 44 Dr. Herbert Egger ....................................................................................................................................... 45 Dr. Stefan Kindermann................................................................................................................................ 48 Benjamin Hackl ........................................................................................................................................... 49 Marie-Therese Wolfram .............................................................................................................................. 50 Inverse Problems in Molecular Biology: A Cooperation with the University of Vienna............................. 51 Dr. Stefan Müller......................................................................................................................................... 52 Dr. James Lu ............................................................................................................................................... 54 2.3. GROUP “SYMBOLIC COMPUTATION” .................................................................................................. 56 Overview of the Work of the Symbolic Computation Area in 2005 ............................................................. 56 Introduction by Group Leader Prof. Bruno Buchberger............................................................................. 57 Research Plan of the Computational Logic Group for 2006 and 2007 ....................................................... 57 Prof. Dr. Bruno Buchberger........................................................................................................................ 59 Dr. Martin Giese ......................................................................................................................................... 61 Dr. Florina Piroi ......................................................................................................................................... 63 Dr. Georg Regensburger ............................................................................................................................. 64 Dr. Markus Rosenkranz............................................................................................................................... 66 Alexander Zapletal ...................................................................................................................................... 67 Overview of the Work of the Computational Algebra Area by Prof. Josef Schicho .................................... 69 Prof. Dr. Josef Schicho................................................................................................................................ 69 Dr. Willem A. de Graaf................................................................................................................................ 71 Dr. Oliver Labs............................................................................................................................................ 72 Dr. Pavel Chalmoviansky............................................................................................................................ 73 2/150 JOHANN RADON INSTITUTE FOR COMPUTATIONAL AND APPLIED MATHEMATICS ANNUAL REPORT 2005 Dr. Ibolya Szilagyi....................................................................................................................................... 74 Michael Barton............................................................................................................................................ 75 Tobias Beck ................................................................................................................................................. 76 José Manuel García Vallinas ...................................................................................................................... 77 Janka Pilnikova ........................................................................................................................................... 78 2.4. GROUP “FINANCIAL MATHEMATICS” ................................................................................................. 80 Introduction by Group Leader Prof. Walter Schayermayer ........................................................................ 80 Univ.-Doz. Dr. Hansjörg Albrecher ............................................................................................................ 81 Prof. Walter Schachermayer ....................................................................................................................... 84 Dr. Jürgen Hartinger................................................................................................................................... 86 Dr. Karel Janeček.......................................................................................................................................