Cyranka, Jacek; Lessard, Jean-Philippe Validated forward integration scheme for parabolic PDEs via Chebyshev series. (English) Zbl 1536.65126 Commun. Nonlinear Sci. Numer. Simul. 109, Article ID 106304, 32 p. (2022). MSC: 65M99 35K58 65G40 65M70 65Y20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cyranka, Jacek; Mucha, Piotr Bogusław A construction of two different solutions to an elliptic system. (English) Zbl 1398.35049 J. Math. Anal. Appl. 465, No. 1, 500-530 (2018). MSC: 35J60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cyranka, Jacek Efficient and generic algorithm for rigorous integration forward in time of dPDEs. I. (English) Zbl 1296.65138 J. Sci. Comput. 59, No. 1, 28-52 (2014). MSC: 65M99 35B40 35B41 65G20 65M70 65Y20 65T50 × Cite Format Result Cite Review PDF Full Text: DOI OA License