Publikationen von Peter Kaps:

Wichtigste Arbeiten:

P. Kaps, P. Rentrop:
Generalized Runge-Kutta methods of order four with stepsize control for stiff ordinary differential equations.
Numerische Mathematik 33, 55-68, 1979.

P. Kaps, G. Wanner:
A study of Rosenbrock-type methods of high order.
Numerische Mathematik 38, 279-298, 1981.

W. Nachbauer, P. Kaps, B. Nigg, F. Brunner, A. Lutz, G. Obkircher, M. Mössner:
A Video Technique for Obtaining 3-D Coordinates on Alpine Skiing.
Journal of Applied Biomechanics 12, 104-115, 1996.

P. Kaps, W. Nachbauer, K. Schindelwig, A.J. van den Bogert, K.G.M. Gerritsen:
Computersimulation von Sprüngen im alpinen Schilauf zur Berechnung von Kniegelenkskräften.
Spectrum der Sportwissenschaften, Jahrgang 12, Heft 1, pp. 6-26, 2000

M. Mössner:, G. Innerhofer, K. Schindelwig, P. Kaps, H. Schretter, W. Nachbauer (2013): 
Measurement of mechanical properties of snow for simulation of skiing.
In: Journal of Glaciology, 59/218, 1170 - 1178.

Für Arbeiten in Biomechanik siehe Biomechanics Working Group of the Department of Sport Science.

Weitere Arbeiten:

W. Nachbauer, P. Kaps, M. Hasler, M. Mössner (2016):
Friction Between Ski and Snow
In: Braghin F, Cheli F, Maldifassi S, Melzi S, Sabbioni E (eds.)
The Engineering Approach to Winter Sports, pp. 17-32. Springer New York, Place Springer New York

K.Schindelwig, W.Reichl, P.Kaps, M.Mössner, W.Nachbauer (2014):
Safety assessment of jumps in ski racing.
Scandinavian Journal of Medicine and Science in Sports, 09/2014. doi: 10.1111/sms.12300

M. Mössner, D. HeinrichK. Schindelwig, P. Kaps, H. Schretter, W. Nachbauer (2013):  
Modeling the ski–snow contact in skiing turns using a hypoplastic vs an elastic force–penetration relation.
Scand J Med Sci Sports. doi: 10.1111/sms.12035 (Accepted).

U. Filippi-Oberegger, P. Kaps, M. Mössner, D. Heinrich, W. Nachbauer (2012):  
Simulation of skiing turns with a multibody skier and a ski-snow interaction model.
In: Müller, Erich et al.: Science and skiing V. Fifth International Congress on Skiing and Science, St. Christoph/Arlberg, Dec 10 - 14, 2010, 336 - 348.

R. Eberle, P. Kaps, U. Filippi-Oberegger, D. Heinrich, M. Mössner, K. Schindelwig, A. Niederkofler, W. Nachbauer (2012):
Damped vibrations of alpine skis on inelastic foundations.
In: Müller, Erich et al.: Science and skiing V. Fifth International Congress on Skiing and Science, St. Christoph/Arlberg, Dec 10 - 14, 2010, 142 - 151.

M. Mössner, M. Hasler, K. Schindelwig, P. Kaps, W. Nachbauer (2011):
An Approximate Simulation Model for Initial Luge Track Design.
In: Journal of Biomechanics, 44/5, 892 - 896.

D. Heinrich, M. Mössner, P. Kaps, W. Nachbauer (2011):
A parameter optimization method to determine ski stiffness properties from ski deformation data.
In: Journal of Applied Biomechanics, 27/1, 81 - 86.

D. Heinrich, M. Mössner, P. Kaps, W. Nachbauer (2010):
Calculation of the contact pressure between ski and snow during a carved turn in Alpine skiing.
In: Scandinavian Journal of Medicine & Science in Sports, 20/3, 485 - 492.

U. Filippi-Oberegger, P. Kaps, W. Kerber, M. Mössner, K. Schindelwig, W. Nachbauer (2010):
Reaction Forces and Moments in Carved Turns.
In: Journal of ASTM International, 7/9, 1 - 13.

U. Filippi-Oberegger, P. Kaps,  M. Mössner, D. HeinrichW. Nachbauer (2010):
Simulation of turns with a 3D skier model.
In: Procedia Engineering, 2/2, 3171 - 3177.

M. Mössner, D. Heinrich, P. Kaps, H. Schretter, W. Nachbauer (2009):
Effects of ski stiffness in a sequence of ski turns.
In: Müller, Erich; Lindinger, Stefan; Stöggl, Thomas: Science and skiing IV. Aachen: Meyer & Meyer Sports Books, 374 - 388.

D. Heinrich, P. Kaps, M. Mössner, H. Schretter, W. Nachbauer (2009):
Calculation of the pressure distribution between ski and snow.
In: Müller, Erich; Lindinger, Stefan; Stöggl Thomas: Science and skiing IV. Aachen: Meyer & Meyer Sports Books, 229 - 241.

M. Schiestl, P. Kaps, M. Mössner, W. Nachbauer (2006):
Calculation of Friction and Reaction Forces during an Alpine World Cup Downhill race.
In: Moritz, Eckehard; Haake, Steve: The Engineering of Sport 6, Volume 1: Developments in Sports. Part A: Proceedings of the ISEA 2006 - Munich, Germany. Berlin - Heidelberg - New York: Springer, 269 - 274.

M. Mössner, D. Heinrich, K. Schindelwig, P. Kaps, P. Lugner, H.-B. Schmiedmayer, H. Schretter, W. Nachbauer (2006):
Modeling of the Ski-Snow Contact for a Carved Turn.
In: Moritz, Eckehard; Haake, Steve: The Engineering of Sport 6, Volume 2: Developments for Disciplines. Proceedings of the 6th ISEA Conference 2006 (Munich, Germany). Berlin - Heidelberg - New York: Springer, 195 - 200.

D. Heinrich, M. Mössner, P. Kaps, H. Schretter, W. Nachbauer (2006):
Influence of Ski Bending Stiffness on the Turning Radius of Alpine Skis at Different Edging Angles and Velocities – A Computer Simulation.
In: Moritz, Eckehard; Haake, Steve: The Engineering of Sport 6, Volume 2: Developments for Disciplines. Proceedings of the 6th ISEA Conference 2006 (Munich, Germany). Berlin - Heidelberg - New York: Springer, 207 - 212.

W. Nachbauer, P. Kaps, M. Mössner, D. Heinrich, K. Schindelwig, H. Schretter (2006):
Effects of ski and snow properties on the turning of Alpine skis - a computer simulation.
In: Journal of Biomechanics 39/Supplement 1, 188 - 188.

F. Rainer, W. Nachbauer, K. Schindelwig, P. Kaps (2005):
On the measurement of the stiffness of skis.
In: Müller, Erich et. al. (Hrsg.): Science and Skiing III: Proceedings of the 3rd International Congress on Skiing and Science 2004. Aachen: Meyer & Meyer Sports Books, 136 - 147.

W. Nachbauer, F. Rainer, K. Schindelwig, P. Kaps (2004):
Effects of ski stiffness on ski performance.
In: Hubbard, M.; Mehta, R.D.; Pallis, J.M. (Hrsg.): The Engineering of Sport 5. Proceedings. Sheffield: International Sports Engineering Assocation, 472 - 478.

Ch. Tautermann, Andreas F. Vögele,Thomas Lörting, Peter Kaps, Klaus R. Liedl (2003):
Extended method for adiabatic mode reordering. In: Journal of Computational Chemistry 24/3, 386 - 395.

P. Kaps, M. Mössner, W. Nachbauer, R. Stenberg:
Pressure distribution under a ski during carved turns.
2nd International Congress on Skiing and Science (ICSS) (St. Christoph am Arlberg, Austria), E. Müller, R. Roithner, W. Niessen, Ch. Raschner, and H. Schwameder, eds., 2000.
(icss.ps 1698KB).

P. Kaps, M. Mössner, W. Nachbauer:
Kurvenradius bei geschnittenen Schwüngen.
Institutsnotiz 3-2000, Institut für Technische Mathematik, Geometrie und Bauinformatik, 2000.
(kmn.ps 11 110KB). Siehe auch unter Preprint Series.

Ch. Engstler, P. Kaps:
A Comparison of numerical integration methods for constrained mechanical systems in descriptor and state space form.
Applied Numerical Mathematics 24, pp. 457-468, 1997.

P. Kaps, H. Schwameder, Ch. Engstler:
Inverse dynamic analysis of take-off in ski-jumping.
In: Science and Skiing, E. Müller, H. Schwameder, E. Kornexl, C. Raschner (Hrsg.), Chapman and Hall, London, pp. 72-87, 1997.

P. Kaps, W. Nachbauer, M. Mössner:
Determination of Kinetic Friction and Drag Area in Alpine Skiing.
In: Skiing Trauma and Safety: Tenth Volume, C.D. Mote, Jr., R.J. Johnson, W. Hauser, P.S. Schaff (Hrsg.), STP 1266, American Society for Testing and Materials, pp. 165-177, 1996.
(drag.ps 4 131KB)

M. Mössner, P. Kaps, W. Nachbauer:
A Method for Obtaining 3-D Data in Alpine Skiing Using Pan-and-Tilt Cameras with Zoom Lenses.
In: Skiing Trauma and Safety: Tenth Volume, C.D. Mote, Jr., R.J. Johnson, W. Hauser, P.S. Schaff (Hrsg.), STP 1266, American Society for Testing and Materials, pp. 155-164, 1996.
(dlt.ps 512KB)

P. Kaps:
Numerische Lösung der Bewegungsgleichungen für mechanische Systeme mit Zwangsbedingungen.
In: Jahrbuch Überblicke Mathematik 1994, S.D. Chatterji, B. Fuchssteiner, U. Kulisch, R. Liedl (Hrsg.), Vieweg, Braunschweig, pp. 91-110, 1994.

P. Kaps:
Recent Advances in Rosenbrock Methods.
In: Computational Ordinary Differential Equations, S.O. Fatunla (Hrsg.), University Press, Ibadan, Nigeria, pp. 141-159, 1992.

P. Kaps:
Dynamische Vorgänge bei Brüchen in Isolator-Doppelketten von Freileitungen. Numerische Behandlung.
Österreichische Ingenieur-und Architekten-Zeitschrift 136, pp. 579-582, 1991.

P. Kaps, A. Ostermann:
L(alpha)-stable Variable Order Rosenbrock Methods.
In: Numerical Treatment of Differential Equations. Proceedings of the Fifth International Seminar "NUMDIFF 5", held in Halle 1989, K. Strehmel(Hrsg.), Teubner Verlag, Leipzig, pp. 80-91, 1991.

P. Kaps:
Two-Dimensional Wind Flow over Buildings.
In: Numerical Treatment of the Navier-Stokes Equations. Proceedings of the Fifth GAMM-Seminar, Kiel, January 20-22, 1989, W. Hackbusch, R. Rannacher (Hrsg.), Vieweg, Braunschweig, pp. 72-81, 1990.

W. Nachbauer, P. Kaps:
Fahrzeitbestimmende Faktoren beim Schußfahren,
In: Biomechanik des alpinen Schilaufs, F. Fetz, E. Müller (Hrsg.), Ferdinand Enke Verlag, Stuttgart, pp. 101-111, 1991.

P. Kaps,  A. Ostermann:
Rosenbrock methods using few LU-decompositions.
IMA Journal of Numerical Analysis 9, pp. 15-27, 1989.

 A. Ostermann, P. Kaps, T. D. Bui:
The solution of a combustion problem with Rosenbrock methods.
ACM Transactions on Mathematical Software 12, pp. 354-361, 1986.

P. Kaps:
Rosenbrock-type methods.
Habilitationsschrift, Universität Innsbruck, 1985.

P. Kaps, S. W. Poon, T. D. Bui:
Rosenbrock methods for stiff ODEs - A comparison of Richardson extrapolation and embedding technique.
Computing 34, pp. 17 - 40, 1985.

P. Kaps, P. Rentrop:
Application of a variable-order semi-implicit Runge-Kutta method to chemical models.
Computers & Chemical Engineering 8, pp. 393- 396, 1984.

P. Kaps:
Rosenbrock-type methods.
Proceedings of the meeting on "Numerical methods for solving stiff initial value problems". Oberwolfach, 28. 6. - 4. 7. 1981, Dahlquist, G. und Jeltsch, R. (Hrsg.), Bericht Nr. 9, Institut für Geometrie und Praktische Mathematik, RWTH Aachen, Templergraben 55, D-5100 Aachen, 1981

P. Kaps:
Modifizierte Rosenbrockmethoden der Ordnung 4, 5 und 6 zur numerischen Integration steifer Differentialgleichungen. Dissertation, 1977.

P. Kaps:
Über die numerische Integration steifer Differentialgleichungen.
Hausarbeit, 1971.

F. Cap, D. Floriani, P. Kaps:
Anwendung von Ähnlichkeitstransformationen auf magnetogasdynamische Kanalströmungen unter Berücksichtigung von Viskosität und Wärmeleitfähigkeit.
Elektrotechnik und Maschinenbau 86, pp. 512-516, 1969.