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Science

Science

My main research areas are:

  • Quasi-Monte Carlo methods and other numerical methods
  • Actuarial mathematics

Scientific Publications

Nr.Title of the paperFieldDownload
1) B. Aichernig and R. Kainhofer: Modeling and validating hybrid systems using VDM and Mathematica.
In C.Michael Holloway, editor, Lfm2000, Fifth NASA Langley Formal Methods Workshop, Williamsburg, Virginia, June 2000, number CP-2000-210100, pages 35-46. NASA, June 2000.
CS pdf
2) H. Albrecher and R. Kainhofer: Risk theory with a non-linear dividend barrier, Computing 68 (2002), No.4, 289-311. Math pdf
3) H. Albrecher, R. Kainhofer and R.F. Tichy: Simulation methods in ruin models with non-linear dividend barriers, Math. Comput. Simulation 62 (2003), 277-287. Math Abstract: pdf
Paper: pdf
4) H. Albrecher, R. Kainhofer and R.F. Tichy: Efficient simulation techniques for a generalized ruin model, Grazer Math. Ber., Nr. 345 (2002), 79-110. Math pdf
5) R. Kainhofer: QMC Methods for the solution of delay differential equations, J. Comp. Appl. Math., vol. 155/2 (2003), 239-252. Math pdf
6) R. Kainhofer and R.F. Tichy: QMC Methods for the solution of differential equations with multiple delayed arguments, Grazer Math. Ber., Nr. 345 (2002), 111-129. Math pdf
7) R. Kainhofer and R.F. Tichy: QMC Methods for the solution of delay differential equations, Proc. Appl. Math. Mech. (PAMM), Proceedings of the GAMM 2002 meeting, 2 (2003), 503-504. Math pdf
8) J. Hartinger, R. Kainhofer and R. Tichy: Quasi-Monte Carlo algorithms for unbounded, weighted integration problems, Journal of Complexity, 20/5 (2004), 654-668. Math pdf
9) R. Kainhofer: The CSSSave package: Extending the built-in HTMLSave function with style sheets, 2003, Proceedings of PrimMath[2003]. CS pdf
10) R. Kainhofer and R. Simonovits: M@th Desktop and MD Tools: Mathematics and Mathematica Made Easy for Students, 2003, Proceedings of PrimMath[2003]. CS, Didact. pdf (5MB!!!)
11) K. Glantschnig, R. Kainhofer, W. Plessas, B. Sengl, R.F. Wagenbrunn: Extended Goldstone-Boson-Exchange Constituent Quark Model, 2004, European Physical Journal A, accepted. Phys. ArXiv
12) J. Hartinger and R. Kainhofer: Non-uniform low-discrepancy sequence generation and integration of singular integrands, In: H. Niederreiter, D. Talay (Eds.): Monte Carlo and Quasi-Monte Carlo Methods 2004, Springer, 2006. Math pdf
13) J. Hartinger, R. Kainhofer, and V. Ziegler: On the corner avoidance properties of various low-discrepancy sequences, 2005, in press. Math PDF
14) R. Kainhofer, M. Predota, and U. Schmock: The New Austrian Annuity Valuation Table AVÖ 2005R, Mitteilungen der Aktuarvereinigung Österreichs, Heft 13, Seiten 55-135, 2006. Math PDF
15) R. Kainhofer, M. Predota, and U. Schmock: Die neue österreichische Rententafel AVÖ 2005R, Versicherungswirtschaft, 10/2006, volume 61, 847-851, 2006. Math PDF
16) P. Grandits, R. Kainhofer, and G. Temnov: On the impact of hidden trends for a compound Poisson model with Pareto-type claims, International Journal of Theoretical and Applied Finance, accepted, 2010. Math
17) R. Kainhofer: A MusicXML Test Suite and a Discussion of Issues in MusicXML 2.0, Proceedings of the LAC 2010 Conference, Utrecht, 2010. CS, Music PDF
18) R. Kainhofer: OrchestralLily: A Package for Professional Music Publishing with LilyPond and LaTeX, Proceedings of the LAC 2010 Conference, Utrecht, 2010. CS, Music PDF
19) R. Kainhofer: An extensive MusicXML 2.0 test suite, Proceedings of the 7th International Symposion on Computer Music Modelling and Retrieval (CMMR) 2010, Malaga, 2010. CS, Music PDF

The following is not one of my publications, but about my RK Fonts:

  • Michael H. Zach: Varia Meroitica II, Kommentar zu den Fonts RK Meroitic, Göttinger Miszellen 173 (1999), 197-202

Scientific Talks and Presentations

Nr.Title of the talk 
0) R. Kainhofer, M. Lacher, T. Triffterer, A. Soucek: Beyond the horizon: The history of satellites. Presentation held at the 5th Int. EURISY youth forum 1996 in Bristol / UK. Text: html
1) Goldstone Bosonen Austausch (GBE) chirales Konstituentenquark-Modell. Talk held at the 32. Summer school for high energy physics, Maria Laach, Germany. September 2000. Abstract: ps
2) Quasi-Monte Carlo Runge Kutta methods for delay differential equations. Presentation held at GAMM 2002, Augsburg, Germany. March 26, 2002. Abstract: pdf
Slides: pdf
3) Quasi-randomized schemes for the solution of retarded differential equations. Talk held at the Dagstuhl Seminar 2401 "Algorithms and Complexity for Continuous Problems", Schloss Dagstuhl, Wadern, Germany. Sept. 29 - Oct. 4, 2002. Abstract: pdf
Slides: pdf
4) Hlawka-Mück techniques for option pricing - Quasi-Monte Carlo methods with NIG distribution. Talk given at MCQMC 2002, Singapore. November 25, 2002. Abstract: pdf
Slides: pdf (ppower4)
5) Numerical solution of delayed differential equations using QMC methods. Quasi-randomized schemes for heavily varying equations. Talk given at the FSP workshop, Linz, Austria. February 28, 2003. Slides: pdf (ppower4)
6) Quasi-Monte Carlo Algorithms with Applications in Numerical Analysis and Finance. Rigorosumsvortrag, Inst. f. Mathematik, TU Graz, Austria. May 16, 2003. Slides: pdf (ppower4)
7) Transformation methods for the creation of non-uniformly distributed low-discrepancy sequences. MCM2003, Berlin. September 2003. Abstract: pdf, Slides: pdf (ppower4)
8) The CSSSave` Package for Mathematica - Extending the built-in HTMLSave function with (cascading) style sheets. PrimMath[2003], Zagreb. September 2003. Abstract: pdf
Slides: pdf
9) M@th Desktop and MD Tools - Mathematics and Mathematica Made Easy for Students. PrimMath[2003], Zagreb. September 2003. Abstract: pdf
Slides: pdf
10) Entwicklung sublinearer Dividendenmodelle und deren numerische Behandlung. FAM, TU Wien. November 2003. Slides: pdf
11) QMC integration of improper integrals. An overview with non-uniform sequences in mind. MC2QMC 2004, Juan-les-Pins, France. June 2004. Abstract: pdf
Slides: pdf (ppower4)
12) Zur Erstellung der neuen Österreichischen Rententafeln AVÖ 2005R - Vorläufiger Stand der Arbeitsgruppe. FAM, Vienna University of Technology. February 17, 2005. Slides: pdf
13) Rohentwurf der neuen Österreichischen Rententafel AVÖ 2005R - Vorläufiger Stand der Arbeitsgruppe. Aktuarvereinigung Österreichs (Actuarial Association of Austria), Vienna. March 3, 2005. Slides: pdf
14) Die neue Österreichische Rententafel AVÖ 2005R - Endresultat der Arbeitsgruppe der AVÖ. Versicherungsverband Österreichs (Austrian Association of Insurance Companies), Vienna, Austria, April 26, 2005. Slides: pdf
15) Die Rentenversicherungssterbetafel AVÖ 2005R. General Assembly of the Actuarial Association of Austria, Vienna. May 12, 2005. Slides: pdf
Additional slides: pdf
16) Quasi-Monte Carlo Methoden - Am Schnittpunkt von numerischer Analysis, Zahlentheorie und Finanzmathematik. Lecture Series "Wissenswertes aus der Mathematik", Vienna University of Technology, Austria. June 20, 2005. Slides: pdf
17) Die Rentenversicherungssterbetafel AVÖ 2005R. Financial Market Authority (FMA) of Austria, Vienna. April 10, 2006. Slides: pdf
Additional slides: pdf
18) Corner avoidance properties of various low discrepancy sequences. MCQMC 2006, Ulm, Germany. August 18, 2006. Slides: pdf
19) Erstellung einer offiziellen österreichischen Rententafel und deren Anwendung auf ein stochastisches Lebensversicherungsmodell. Workshop for young mathematicians, Deutsche Aktuarsakademie (DAA), Reisensburg, Günzburg, Germany. September 22, 2007. Slides: pdf
20) Die Erstellung von Rechnungsgrundlagen - Ausflug eines Mathematikers in die Praxis. Kolloquim "Finanz- und Versicherungsmathematik in Theorie und Praxis", Graz University of Technology, Graz, Austria. January 11, 2008. Slides: pdf
21) Stochastische Simulation in der Lebensversicherung - Monte-Carlo Methoden und deren Anwendung in Versicherungen, ÖFdV-Seminar "Stochastische Simulation", Vienna, Austria, December 10, 2009. Slides: pdf
22) OrchestralLily: A Package for Professional Music Publishing with LilyPond and LaTeX, LAC 2010, Utrecht, Netherlands, May 3, 2010. Slides: pdf, Handout: pdf
23) A MusicXML Test Suite and a Discussion of Issues in MusicXML 2.0, LAC 2010, Utrecht, Netherlands, May 4, 2010. Slides: pdf, Handout: pdf
24) An extensive MusicXML 2.0 Test Suite, 7th International Symposion on Computer Music Modelling and Retrieval (CMMR) 2010, Poster-Presentation, Málaga, Spain, June 22, 2010. Poster (A4): pdf, Presentation: pdf

 Academic Theses

Nr.TitleField 
1) R. Kainhofer: Mit HERA und ZEUS durch die Götterwelt der Teilchenphysik: Moderne Beschleuniger- und Detektortechnik am Beispiel des Deutschen Elektronen-Synchrotrons, Fachbereichsarbeit von Reinhold Kainhofer, Borromäum, Salzburg, February 1996 Physics Text: html
2) R. Kainhofer: Die numerische Simulation von Transportgleichungen mittels Quasi-Monte Carlo Methoden, Diplomarbeit aus Technischer Mathematik, Technische Universität Graz, August 2000. Mathematics Abstract: html
Download: PDF
3) R. Kainhofer: Exploration of different confinement and hyperfine interactions in a constituent quark model for baryons, Diploma thesis in theoretical physics, Karl-Franzens-University Graz, January 2003 Physics Abstract: html
Download: PDF (950 kB)
4) R. Kainhofer: Quasi-Monte Carlo Algorithms with Appplications in Numerical Analysis and Finance, PhD thesis in Technical Mathematics, Graz University of Technology, April 2003 Mathematics Abstract: html
Download: PDF (1.5 MB)

Technical Reviews

Nr.Technical Review 
1) R. Kainhofer: IETF Review of the RFC 2446bis-07 draft: iCalendar Transport-Independent Interoperability Protocol (iTIP). September 8, 2008. PDF, HTML, LaTeX
2) R. Kainhofer: IETF Review of the RFC 2447bis-05 draft: iCalendar Message-Based Interoperability Protocol (iMIP). October 1, 2008. PDF, HTML, LaTeX

Significant contributions and involvement in the creation of the following technical standards:

Nr.Technical Standard 
1) B. Desruisseaux (Ed.): Internet Calendaring and Scheduling Core Object Specification (iCalendar). RFC 5545. September 2009. Text
2) C. Daboo (Ed.): iCalendar Transport-Independent Interoperability Protocol (iTIP). RFC 5546. December 2009. Text
3) A. Melnikov (Ed.): iCalendar Message-Based Interoperability Protocol (iMIP). Draft RFC 2247bis-09. 2010. Text RFC 2447-bis09

 Popular science and non-scientific talks and publications

Nr.Title 
1) R. Kainhofer: Linux, Presentation held at a ProScientia meeting, Graz, Austria. May 2002 Presentation: html, KPresenter
2) R. Kainhofer: Lebensräume - Lebensträume schaffen und erhalten. Ein Streifzug durch die Grundlagen aus Finanz- und Versicherungsmathematik. Presentation held at a ProScientia meeting, Vienna, Austria. May 2004 Slides: pdf
3) R. Kainhofer: Impulsreferat zum Doktoratsstudium in Österreich. Talk given at "Das Doktoratsstudium in Österreich. Nationale Positionierung im Kontext europäischer Entwicklungen", Vienna, Austria. 12. November 2004 Text: pdf
4) R. Kainhofer: Open Source Groupware Systeme - KDE's Kontact: One Client to Rule Them All. Presentation held at the Linux Business Day, Kapfenberg, Austria, May 13, 2005 Slides: pdf
5) R. Kainhofer: Investitionsstrategien am Glücksrad. Talk given at "Yo!Einstein", Vienna University of Technology, Austria. June 22, 2006
6) R. Kainhofer: Investitionsstrategien für das virtuelle Glücksrad. Talk given at "FITwien 2008", Vienna University of Technology, Austria. February 5, 2008.
7) R. Kainhofer: Investitionsstrategien für das virtuelle Glücksrad. Talk given at "FITwien 2010", Vienna University of Technology, Austria. January 26, 2010.

 Book Reviews in Magazines

Nr.Book Review 
1) R. Kainhofer: Book review "E. R. Belekamp, J.H.Conway, R.K.Guy: Winning Ways for Your Mathematical Plays. Volume 2". IMN Nr. 195 (April 2004), 39-40, Vienna 2004. PDF
2) R. Kainhofer: Book review "A. Yu. Kitaev, A. H. Shen, M. N. Vyalyi: Classical and Quantum Computation". IMN Nr. 195 (April 2004), 44-45, Vienna 2004. PDF
3) R. Kainhofer: Book review "R. Seydel: Tools for Computational Finance". IMN Nr. 195 (April 2004), 48, Vienna 2004. PDF
4) R. Kainhofer: Book review "R. K. Guy: Unsolved Problems in Number Theory". IMN Nr. 199 (August 2005), 44, Vienna 2005. PDF
5) R. Kainhofer: Book review "S. Pemmaraju, S. Skiena: Computational Discrete Mathematics". IMN Nr. 199 (August 2005), 47-48, Vienna 2005. PDF
6) R. Kainhofer: Book review "R. Crandall, C. Pomerance: Prime Numbers". IMN Nr. 201 (April 2006), 36, Vienna 2006. PDF
7) R. Kainhofer: Book review "E. Lesigne: Heads or Tails". IMN Nr. 201 (April 2006), 50, Vienna 2006. PDF
8) R. Kainhofer: Book review "J. Bewersdorff: Luck, Logic & White Lies". IMN, Vienna 2006. PDF
9) R. Kainhofer: Book review "H. Föllmer, A. Schied: Stochastic Finance". Metrika, 2006. PDF
10) R. Kainhofer: Book review "L. Nyssen (ed.): Physics and Number Theory". IMN, Vienna 2008. PDF
11) R. Kainhofer: Book review "R.J. Williams: Introduction to the Mathematics of Finance". IMN, Vienna 2008. PDF
12) R. Kainhofer: Book review "M.E. Taylor: Measure Theory and Integration". IMN, Vienna 2008. PDF
13) R. Kainhofer: Book review "D. Logofatu: Grundlegende Algorithmen mit Java". IMN, Vienna 2010. PDF
14) R. Kainhofer: Book review "P. Winkler: Mathematical Mind-Benders". IMN, Vienna 2010. PDF
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