PREVIOUS RESEARCH
NUMERICAL METHODS, INCLUDING THE METHODS OF DISCRETE MECHANICS, FOR SOLVING DYNAMIC PROBLEMS, INCLUDING THE PROBLEM OF N-BODIES (UNTIL 2001)
2. (co-author: J. Albrycht) Orbit Calculations Nearby the Equilibrium Points by a Discrete Mechanics Method, Celestial Mechanics 24 (1981), 391 – 405.
3. (co-author: J. Albrycht) Discrete Dynamical Equations in Minkowski Space, International Journal of Theoretical Physics 20 (1981), 821 – 830.
1. (co-author: J. Albrycht) Practical Remarks on Application of Urabe's Method to Orbit Computation in Celestial Mechanics, Acta Astronomica 29 (1979), 109 – 114.
4. Discrete Hill's Equations, Computer Methods in Applied Mechanics and Engineering 37 (1983), 15 – 24.
5. Discrete Mechanics of Arbitrary Order, Computer Methods in Applied Mechanics and Engineering 39 (1983), 159 – 178.
6. Discrete Mechanics and its Application to the Solution of the n-body Problem, Acta Applicandae Mathematicae 2 (1984), 185 – 207.
7. Energy Conserving Arbitrary Order Numerical Solutions of the n-body Problem, Numerische Mathematik 45 (1984), 207 – 218.
8. (co-author: J. Albrycht) Asymptotic Expansion of Total Discretization Error for the Discrete Mechanics Method, Annales Universitatis Mariae Curie-Skłodowska 38 (1984), 1 – 22.
9. Numerical Solutions of the N-body Problem, D. Reidel Publishing Co., Dordrecht 1985, pp. 242.
10. PL/I Program for Energy Conserving Arbitrary Order Numerical Solutions of the n-body Problem, Scientific Journals of the Pozna? University of Economics (Zeszyty Naukowe Akademii Ekonomicznej w Poznaniu), vol. 132 ‘Papers on Numerical Methods and their Applications’, Poznań 1985, 99 – 104.
11. A Variable Order Method for Solving the Planetary Type n-body Problem, Colloquia Mathematica Societatis Janos Bolyai 50 (1986), 307 – 325.
12. Arbitrary Order Numerical Solutions Conserving the Jacobi Constant in the Motion near by Equilibrium Points, Celestial Mechanics 40 (1987), 95 – 110.
13. Selected Numerical Methods for Solving the N-body Problem (in Polish), series Rozprawy, No. 213, Publishing House of Poznań University of Technology, Poznań 1989, pp. 149.
14. (co-author: D. Greenspan) Arbitrary Order, Hamiltonian Conserving Numerical Solutions of Calogero and Toda Systems, Technical Report #267, Department of Mathematics, Research Center for Advanced Study, University of Texas at Arlington, Arlington 1990, pp. 39; short version: Computer & Mathematics with Applications 22 (1991), 11 – 35.
15. (co-author: D. Greenspan) Energy Conserving Numerical Solutions of Simplified Turbulence Equations, Technical Report #269, Department of Mathematics, Research Center for Advanced Study, University of Texas at Arlington, Arlington 1990, pp. 18.
16. Arbitrary Order Numerical Solutions Conserving Constants of Motion, Fasciculi Mathematici 19 (1990), 161 – 173.
17. Arbitrary Order Numerical Methods Conserving Integrals for Solving Dynamical Equations, Computer & Mathematics with Applications 28 (1994), 33 – 44.
18. Using Polynomials of Variable Degrees for Solving the Relatiive N-Body Problem, Computational Methods in Science and Technology 7 (2) (2001), 47 – 63.
