000130084 001__ 130084
000130084 005__ 20241125101127.0
000130084 0247_ $$2doi$$a10.1016/j.cam.2023.115083
000130084 0248_ $$2sideral$$a132983
000130084 037__ $$aART-2023-132983
000130084 041__ $$aeng
000130084 100__ $$0(orcid)0000-0001-6120-4427$$aMontijano, J.I.$$uUniversidad de Zaragoza
000130084 245__ $$aExplicit Runge–Kutta methods for the numerical solution of linear inhomogeneous IVPs
000130084 260__ $$c2023
000130084 5060_ $$aAccess copy available to the general public$$fUnrestricted
000130084 5203_ $$aRunge–Kutta methods for the numerical solution of inhomogeneous linear initial value problems with constant coefficients are considered. A general procedure to construct explicit s-stage RK methods with order s, for the class of IVP under consideration, depending on the nodes ci,i=1,…,s is presented. This procedure only requires the solution of successive linear equations in the elements of the matrix A and avoids the solution of non linear equations. We obtain several RK schemes with number of stages s=5,…,8 and maximal order p=s for the class of problems under consideration. Finally, some numerical experiments to test the behaviour of the new RK schemes are presented.
000130084 536__ $$9info:eu-repo/grantAgreement/ES/MICINN/PID2019-109045GB-C31
000130084 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000130084 590__ $$a2.1$$b2023
000130084 592__ $$a0.858$$b2023
000130084 591__ $$aMATHEMATICS, APPLIED$$b53 / 332 = 0.16$$c2023$$dQ1$$eT1
000130084 593__ $$aComputational Mathematics$$c2023$$dQ2
000130084 593__ $$aApplied Mathematics$$c2023$$dQ2
000130084 594__ $$a5.4$$b2023
000130084 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000130084 700__ $$0(orcid)0000-0002-4238-3228$$aRández, L.$$uUniversidad de Zaragoza
000130084 700__ $$0(orcid)0000-0002-3312-5710$$aCalvo, M.$$uUniversidad de Zaragoza
000130084 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000130084 773__ $$g425 (2023), 115083 [17 pp.]$$pJ. comput. appl. math.$$tJournal of Computational and Applied Mathematics$$x0377-0427
000130084 8564_ $$s346264$$uhttps://zaguan.unizar.es/record/130084/files/texto_completo.pdf$$yPostprint
000130084 8564_ $$s1338286$$uhttps://zaguan.unizar.es/record/130084/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000130084 909CO $$ooai:zaguan.unizar.es:130084$$particulos$$pdriver
000130084 951__ $$a2024-11-22-11:58:01
000130084 980__ $$aARTICLE