000151410 001__ 151410
000151410 005__ 20251017144638.0
000151410 0247_ $$2doi$$a10.1007/s10915-025-02813-4
000151410 0248_ $$2sideral$$a143110
000151410 037__ $$aART-2025-143110
000151410 041__ $$aeng
000151410 100__ $$0(orcid)0000-0002-3312-5710$$aCalvo, M.
000151410 245__ $$aModified Singly-Runge–Kutta-TASE Methods for the Numerical Solution of Stiff Differential Equations
000151410 260__ $$c2025
000151410 5060_ $$aAccess copy available to the general public$$fUnrestricted
000151410 5203_ $$aSingly-TASE operators for the numerical solution of stiff differential equations were proposed by Calvo et al. in J.Sci. Comput. 2023 to reduce the computational cost of Runge–Kutta-TASE (RKTASE) methods when the involved linear systems are solved by some LU factorization. In this paper we propose a modification of these methods to improve the efficiency by considering different TASE operators for each stage of the Runge–Kutta. We prove that the resulting RKTASE methods are equivalent to W-methods (Steihaug and Wolfbrandt, Mathematics of Computation,1979) and this allows us to obtain the order conditions of the proposed Modified Singly-RKTASE (MSRKTASE) methods through the theory developed for the W-methods. We construct new MSRKTASE methods of order two and three and demonstrate their effectiveness through numerical experiments on both linear and nonlinear stiff systems. The results show that the MSRKTASE schemes significantly enhance efficiency and accuracy compared to previous Singly-RKTASE (SRKTASE) schemes.
000151410 536__ $$9info:eu-repo/grantAgreement/ES/MICINN/PID2022-141385NB-I00
000151410 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttps://creativecommons.org/licenses/by/4.0/deed.es
000151410 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000151410 700__ $$0(orcid)0000-0001-6120-4427$$aMontijano, J. I.$$uUniversidad de Zaragoza
000151410 700__ $$0(orcid)0000-0002-4238-3228$$aRández, L.$$uUniversidad de Zaragoza
000151410 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000151410 773__ $$g103, 1 (2025), 15 pp.$$pJ. sci. comput.$$tJournal of Scientific Computing$$x0885-7474
000151410 8564_ $$s484597$$uhttps://zaguan.unizar.es/record/151410/files/texto_completo.pdf$$yVersión publicada
000151410 8564_ $$s1270111$$uhttps://zaguan.unizar.es/record/151410/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000151410 909CO $$ooai:zaguan.unizar.es:151410$$particulos$$pdriver
000151410 951__ $$a2025-10-17-14:30:28
000151410 980__ $$aARTICLE