Zlotnik, Alexander; Čiegis, Raimondas A “converse” stability condition is necessary for a compact higher order scheme on non-uniform meshes for the time-dependent Schrödinger equation. (English) Zbl 1393.65019 Appl. Math. Lett. 80, 35-40 (2018). MSC: 65M06 35Q41 65M12 65M15 PDFBibTeX XMLCite \textit{A. Zlotnik} and \textit{R. Čiegis}, Appl. Math. Lett. 80, 35--40 (2018; Zbl 1393.65019) Full Text: DOI arXiv
Ramos, Higinio; Singh, Gurjinder A note on variable step-size formulation of a Simpson’s-type second derivative block method for solving stiff systems. (English) Zbl 1353.65073 Appl. Math. Lett. 64, 101-107 (2017). MSC: 65L05 65L04 34A34 65L50 PDFBibTeX XMLCite \textit{H. Ramos} and \textit{G. Singh}, Appl. Math. Lett. 64, 101--107 (2017; Zbl 1353.65073) Full Text: DOI
Mohanty, R. K.; McKee, Sean On the stability of two new two-step explicit methods for the numerical integration of second order initial value problem on a variable mesh. (English) Zbl 1326.65089 Appl. Math. Lett. 45, 31-36 (2015). MSC: 65L05 65L06 65L20 PDFBibTeX XMLCite \textit{R. K. Mohanty} and \textit{S. McKee}, Appl. Math. Lett. 45, 31--36 (2015; Zbl 1326.65089) Full Text: DOI
D’Ambrosio, R.; Paternoster, B.; Santomauro, G. Revised exponentially fitted Runge-Kutta-Nyström methods. (English) Zbl 1311.65097 Appl. Math. Lett. 30, 56-60 (2014). MSC: 65L06 34C25 34C10 PDFBibTeX XMLCite \textit{R. D'Ambrosio} et al., Appl. Math. Lett. 30, 56--60 (2014; Zbl 1311.65097) Full Text: DOI
Ramos, Higinio; Vigo-Aguiar, J. On the frequency choice in trigonometrically fitted methods. (English) Zbl 1197.65082 Appl. Math. Lett. 23, No. 11, 1378-1381 (2010). MSC: 65L05 34A34 PDFBibTeX XMLCite \textit{H. Ramos} and \textit{J. Vigo-Aguiar}, Appl. Math. Lett. 23, No. 11, 1378--1381 (2010; Zbl 1197.65082) Full Text: DOI
Simos, T. E. Closed Newton-Cotes trigonometrically-fitted formulae of high order for long-time integration of orbital problems. (English) Zbl 1171.65449 Appl. Math. Lett. 22, No. 10, 1616-1621 (2009). MSC: 65P10 70H05 PDFBibTeX XMLCite \textit{T. E. Simos}, Appl. Math. Lett. 22, No. 10, 1616--1621 (2009; Zbl 1171.65449) Full Text: DOI
Simos, T. E. Dissipative trigonometrically-fitted methods for linear second-order IVPs with oscillating solution. (English) Zbl 1062.65075 Appl. Math. Lett. 17, No. 5, 601-607 (2004). MSC: 65L06 65L05 34A34 PDFBibTeX XMLCite \textit{T. E. Simos}, Appl. Math. Lett. 17, No. 5, 601--607 (2004; Zbl 1062.65075) Full Text: DOI
Simos, T. E. Exponentially-fitted Runge-Kutta-Nyström method for the numerical solution of initial-value problems with oscillating solutions. (English) Zbl 1003.65081 Appl. Math. Lett. 15, No. 2, 217-225 (2002). Reviewer: Erwin Schechter (Kaiserslautern) MSC: 65L06 65L05 34A34 65L20 65L70 34C10 34C25 PDFBibTeX XMLCite \textit{T. E. Simos}, Appl. Math. Lett. 15, No. 2, 217--225 (2002; Zbl 1003.65081) Full Text: DOI
Vigo-Aguiar, J.; Ferrándiz, J. M. VSVO multistep formulae adapted to perturbed second-order differential equations. (English) Zbl 0932.65087 Appl. Math. Lett. 11, No. 3, 83-87 (1998). MSC: 65L06 65L05 65L50 34A34 PDFBibTeX XMLCite \textit{J. Vigo-Aguiar} and \textit{J. M. Ferrándiz}, Appl. Math. Lett. 11, No. 3, 83--87 (1998; Zbl 0932.65087) Full Text: DOI
Simos, T. E. A modified Runge-Kutta method for the numerical solution of ODE’s with oscillation solutions. (English) Zbl 0864.65052 Appl. Math. Lett. 9, No. 6, 61-66 (1996). MSC: 65L06 65L05 34A34 PDFBibTeX XMLCite \textit{T. E. Simos}, Appl. Math. Lett. 9, No. 6, 61--66 (1996; Zbl 0864.65052) Full Text: DOI
Simos, T. E. A high order predictor-corrector method for periodic IVPs. (English) Zbl 0782.65094 Appl. Math. Lett. 6, No. 5, 9-12 (1993). MSC: 65L06 65L05 34A34 34C25 PDFBibTeX XMLCite \textit{T. E. Simos}, Appl. Math. Lett. 6, No. 5, 9--12 (1993; Zbl 0782.65094) Full Text: DOI
Simos, T. E. A new variable-step method for the numerical integration of special second-order initial value problems and their application to the one- dimensional Schrödinger equation. (English) Zbl 0772.65048 Appl. Math. Lett. 6, No. 3, 67-73 (1993). MSC: 65L06 65L05 65L12 65L50 34A34 PDFBibTeX XMLCite \textit{T. E. Simos}, Appl. Math. Lett. 6, No. 3, 67--73 (1993; Zbl 0772.65048) Full Text: DOI