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000071109 0247_ $$2doi$$a10.1007/s11075-017-0374-1
000071109 0248_ $$2sideral$$a100833
000071109 037__ $$aART-2018-100833
000071109 041__ $$aeng
000071109 100__ $$0(orcid)0000-0002-6086-9731$$aFranco, J.M.$$uUniversidad de Zaragoza
000071109 245__ $$aAn eighth-order exponentially fitted two-step hybrid method of explicit type for solving orbital and oscillatory problems
000071109 260__ $$c2018
000071109 5060_ $$aAccess copy available to the general public$$fUnrestricted
000071109 5203_ $$aThe construction of an eighth-order exponentially fitted (EF) two-step hybrid method for the numerical integration of oscillatory second-order initial value problems (IVPs) is considered. The EF two-step hybrid methods integrate exactly differential systems whose solutions can be expressed as linear combinations of exponential or trigonometric functions and have variable coefficients depending on the frequency of each problem. Based on the order conditions and the EF conditions for this class of methods, we construct an explicit EF two-step hybrid method with symmetric nodes and algebraic order eight which only uses seven function evaluations per step. This new method has the highest algebraic order we know for the case of explicit EF two-step hybrid methods. The numerical experiments carried out with several orbital and oscillatory problems show that the new eighth-order EF scheme is more efficient than other standard and EF two-step hybrid codes recently proposed in the scientific literature.
000071109 536__ $$9info:eu-repo/grantAgreement/ES/MICINN/MTM2013-47318-C2-1-P
000071109 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000071109 590__ $$a2.417$$b2018
000071109 591__ $$aMATHEMATICS, APPLIED$$b24 / 254 = 0.094$$c2018$$dQ1$$eT1
000071109 592__ $$a0.937$$b2018
000071109 593__ $$aApplied Mathematics$$c2018$$dQ2
000071109 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000071109 700__ $$0(orcid)0000-0002-4238-3228$$aRández, L.$$uUniversidad de Zaragoza
000071109 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000071109 773__ $$g78, 1 (2018), 243-262$$pNumer. algorithms$$tNumerical Algorithms$$x1017-1398
000071109 8564_ $$s216484$$uhttps://zaguan.unizar.es/record/71109/files/texto_completo.pdf$$yPostprint
000071109 8564_ $$s83097$$uhttps://zaguan.unizar.es/record/71109/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000071109 909CO $$ooai:zaguan.unizar.es:71109$$particulos$$pdriver
000071109 951__ $$a2020-01-13-14:53:22
000071109 980__ $$aARTICLE