CURRENT RESEARCH
INTERVAL METHODS FOR SOLVING BOUNDARY VALUE PROBLEMS IN PARTIAL DIFFERENTIAL EQUATIONS
1. An Interval Difference Method for Solving the Poisson Equation – the First Approach, Pro Dialog 24 (2008), 49 – 61.
2. An Interval Method of the Crank-Nicolson Method – the First Approach, in: Applied Parallel and Scientific Computing, Part II (editor: K. Jónasson), Lecture Notes in Commputer Science 7134 (2012), 120 – 126.
3. (co-author: B. Szyszka) A Central-Backward Difference Interval Method for Solving the Wave Equation, in: Applied Parallel and Scientific Computing (editors: P. Manninen, P. Öster), Lecture Notes in Commputer Science 7782 (2013), 518 – 527.
4. (co-author: T. Hoffmann) Solving the Poisson Equation by an Interval Method of the Second Order, Computational Methods in Science and Technology 19 (1) (2013), 13 – 21.
5. (co-authors: T. Hoffmann, B. Szyszka) Interval Version of Central Difference Method for Solving the Poisson Equation in Proper and Directed Interval Arithmetic, Foundations of Computing and Decision Sciences 38 (3) (2013), 193– 206.
6. (co-author: T. Hoffmann) Finding tOptimal Numerical Solution in Interval Version of Central-Difference Method for Solving the Poisson Equation, Chapter 5 in: Data Analysis – Selected Problems (editors: M. Łatuszyńska, K. Nermend), Scientific Papers of the Polish Information Processing Society Scientif Council, Szczecin-Warsaw 2013, 79 – 88.
7. (co-authors: M. A. Jankowska, T. Hoffmann) Application of an Interval Backward Finite Difference Method for Solving One-Dimensional Heat Conduction Problem, Control and Cybernetics 44 (4) (2015),
463 – 480.
463 – 480.
8. (co-author: T. Hoffmann) Solving the Generalized Poisson Equation in Proper and Directed Interval Arithmetic, Computational Methods in Science and Technology 22 (4) (2016), 225 – 232.
9. (co-author: T. Hoffmann) Interval Difference Methods for Solving the Poisson Equation, in: Differential and Difference Equations with Application (editors: S. Pinelas, T. Varaballo, P. Kloeden, J. R. Graef), Springer Series in Mathematics & Statistics, vo. 230 (2018), 259 – 270.
11. (co-authors: M. A. Jankowska, T. Hoffmann) An Interval Method of Second Order for Solving an Elliptic BVP, in: Parallel Processing and Applied Mathematics, Part II (editors: R. Wyrzykowski et al.), Lecture Notes in Computer Science 12044 (2020), 407 – 417.
DOI: 10.1007/978-3-030-43222-5_36.
DOI: 10.1007/978-3-030-43222-5_36.
10. Nakao's Method and an Interval Difference Scheme of Second Order for Solving the Elliptic BVP, Computational Methods in Science and Technology 25 (2) (2019), 81 – 97.
DOI: 10.12921/cmst.2019.0000016.
DOI: 10.12921/cmst.2019.0000016.
