PREVIOUS RESEARCH
INTERVAL ARITHMETIC AND INTERVAL METHODS FOR SOLVING THE INITIAL VALUE PROBLEM (UNTIL 2020)
1. On Differentiation of Interval Functions, Proceedings of the Polish Symposium on Interval and Fuzzy Mathematics (editors: J. Albrycht, H. Wiśniewski), Poznań, August 26 – 29, 1983, Publishing House of Poznań University of Technology, Poznań 1983, 143 – 158.
2. On Interval Calculations in the n-body Problem, Proceedings of the Polish Symposium on Interval and Fuzzy Mathematics (editors: J. Albrycht, H. Wiśniewski), Poznań, September 4 – 7, 1986, Publishing House of Poznań University of Technology, Poznań 1986, 147 – 162.
3. (co-autor: A. Marlewski) Interval representations of non-machine numbers in Object Pascal (in Polish), Pro Dialog 7 (1998), 75 – 100.
4. (co-authors: K. Gajda, A. Marlewski, B. Szyszka) Assumptions of an object-oriented system for solving the initial value problem with the use of interval methods of Runge-Kutta type (in Polish), Pro Dialog 8 (1999), 39 – 62.
5. (co-author: B. Szyszka) One- and Two-Stage Implicit Interval Methods of Runge-Kutta Type, Computational Methods in Science and Technology 5 (1999), 53 – 65.
6. Finding the Integration Interval for Interval Methods of Runge-Kutta Type in Floating-Point Interval Arithmetic, Pro Dialog 10 (2000), 35 – 45.
7. (co-authors: K. Gajda, B. Szyszka) Three- and Four-Stage Implicit Interval Methods of Runge-Kutta Type, Computational Methods in Science and Technology 6 (2000), 41 – 59.
8. (co-author: M. A. Jankowska) Implicit Interval Multistep Methods for Solving the Initial Value Problem, Computational Methods in Science and Technology 8 (1) (2002), 17 – 30.
9. (co-author: M. A. Jankowska) On Explicit Interval Methods of Adams-Bashforth Type, Computational Methods in Science and Technology 8 (2) (2002), 46 – 57.
10. (co-author: B. Szyszka) On Representations of Coefficients in Implicit Interval Methods of Runge-Kutta Type, Computational Methods in Science and Technology 10 (1) (2004), 57 – 71.
11. Implicit Intrval Methods for Solving the Initial Value Problem, Numerical Algorithms 37 (2004),
241 – 251.
241 – 251.
12. (co-author: M. A. Jankowska) Assumptions of the IMM system for solving the initial value problem with multi-step interval methods (in Polish), Pro Dialog 19 (2005), 117 – 134.
13. On the computational complexity of selected interval methods for solving the initial value problem (in Polish), Pro Dialog 20 (2005), 55 – 70.
14. (co-author: J. Kniat) On interval calculations in Mathematica (in Polish), Pro Dialog 20 (2005), 81 – 93.
15. (co-author: M. A. Jankowska) On Two Families of Implicit Interval Methods of Adams-Moulton Type, Computational Methods in Science and Technology 12 (2) (2006), 109 – 113.
16. (co-author: K. Gajda) Sympletic Interval Methods for Solving Hamiltonian Problems, Pro Dialog 22 (2007), 27 – 37.
17. (co-author: M. A. Jankowska) On Interval Methods of BDF Type for Solving the Initial Value Problem, Pro Dialog 22 (2007), 39 – 59.
18. On Multistep Interval Methods for Solving the Initial Value Problem, Journal of Computational and Applied Mathematics 199 (2007), 229 – 237.
19. Multistep Interval Methods of Nyström and Milne-Simpson Type, Computational Methods in Science and Technology 13 (1) (2007), 23 – 39.
20. (co-author: M. A. Jankowska) An Interval Version of the Backward Differentiation (BDF) Method, SCAN 2006 Conference Post-Proceedings, IEEE-CPS Product No. E2821 (2007).
21. (co-authors: K. Gajda, M. A. Jankowska, B. Szyszka) A Survey of Interval Runge-Kutta and Multistep Methods for Solving the Initial Value Problem, in: Parallel Processing and Applied Mathematics (editors: R. Wyrzykowski, J. Dongmara, K. Karczewski, J. Wasniewski), Lecture Notes in Computer Science 4967 (2008), 1361 – 1371.
22. Selected Interval Methods for Solving the Initial Value Problem, Publishing House of Poznań Univerisity of Technology, Poznań 2009, pp. 203.
23. An Interval Version of the Crank-Nicolson Method – the First Approach, in: Applied Parallel and Scientific Computing (editor: K. Jónasson), Lecture Notes in Computer Science 7134 (2012), 120 – 126.
24. A Résumé on Interval Runge-Kutta Methods, Mathematica Applicanda (Matematyka Stosowana) 40 (1) (2012), 39 – 52.
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26. On Realization of Floating-Point Directed Interval Arithmetic, 2012, not published.
27. (co-authors: M. A. Jankowska, T. Hoffmann) On Interval Predictor-Corrector Methods, Numerical Algorithms 75 (3) (2017), 777 – 808,
DOI: 10.1007/s11075-016-0220-x (2016).
DOI: 10.1007/s11075-016-0220-x (2016).
28. (co-author: M. A. Jankowska) Interval Versions of Milne's Multistep Methods, Numerical Algorithms
79 (1) (2018), 87 – 105,
DOI: 10.1007/s11075-017-0429-3 (2017).
79 (1) (2018), 87 – 105,
DOI: 10.1007/s11075-017-0429-3 (2017).
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29. (co-author: B. Szyszka) Interval Runge-Kutta Methods with Variable Step Size, Computational Methods in Science and Technology 25 (1) (2019), 33 – 46,
DOI: 10.12921/cmst.2019.0000006.
DOI: 10.12921/cmst.2019.0000006.
30. (co-author: M. A. Jankowska) Interval Methods of Adams-Bashforth Type with Variable Step Size, Numerical Algorithms 84 (2) (2020), 651 – 678,
DOI: 10.1007/s11075-019-00774-y (2019).
DOI: 10.1007/s11075-019-00774-y (2019).
31. (co-author: M. A. Jankowska) Interval Versions for Special Kinds of Explicit Linear Multistep Methods, Results in Applied Mathematics 6 (2020), 100104,
DOI: 10.1016/j.rinam.20020.100104.
DOI: 10.1016/j.rinam.20020.100104.
32. (co-authors: B. Szyszka, T. Hoffmann) An Interval Version of Kuntzmann-Butcher Method for Solving the Initial Value Problem, Computational Methods for Differential Equations (to appear).
