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Austrian Academy of Sciences 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.......................................................................................................................................
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