Panopoulos, G. A.; Simos, T. E. A new phase-fitted eight-step symmetric embedded predictor-corrector method (EPCM) for orbital problems and related IVPs with oscillating solutions. (English) Zbl 1348.70069 Comput. Phys. Commun. 185, No. 2, 512-523 (2014). MSC: 70M20 70F10 65L06 65L05 34C25 34L40 65Y20 PDF BibTeX XML Cite \textit{G. A. Panopoulos} and \textit{T. E. Simos}, Comput. Phys. Commun. 185, No. 2, 512--523 (2014; Zbl 1348.70069) Full Text: DOI OpenURL
Panopoulos, G. A.; Simos, T. E. A new optimized symmetric 8-step semi-embedded predictor-corrector method for the numerical solution of the radial Schrödinger equation and related orbital problems. (English) Zbl 1312.65117 J. Math. Chem. 51, No. 7, 1914-1937 (2013). MSC: 65L06 81Q05 PDF BibTeX XML Cite \textit{G. A. Panopoulos} and \textit{T. E. Simos}, J. Math. Chem. 51, No. 7, 1914--1937 (2013; Zbl 1312.65117) Full Text: DOI OpenURL
Panopoulos, G. A.; Anastassi, Z. A.; Simos, T. E. A new symmetric eight-step predictor-corrector method for the numerical solution of the radial Schrödinger equation and related orbital problems. (English) Zbl 1236.65085 Int. J. Mod. Phys. C 22, No. 2, 133-153 (2011). Reviewer: J. B. Butler jun. (Portland) MSC: 65L06 65L05 70F05 81Q05 PDF BibTeX XML Cite \textit{G. A. Panopoulos} et al., Int. J. Mod. Phys. C 22, No. 2, 133--153 (2011; Zbl 1236.65085) Full Text: DOI OpenURL
Kalogiratou, Z.; Monovasilis, Th.; Simos, T. E. Numerical solution of the two-dimensional time independent Schrödinger equation with Numerov-type methods. (English) Zbl 1077.65110 J. Math. Chem. 37, No. 3, 271-279 (2005). MSC: 65N06 35J25 65L15 PDF BibTeX XML Cite \textit{Z. Kalogiratou} et al., J. Math. Chem. 37, No. 3, 271--279 (2005; Zbl 1077.65110) Full Text: DOI OpenURL
Simos, T. E. A new hybrid imbedded variable-step procedure for the numerical integration of the Schrödinger equation. (English) Zbl 0932.65082 Comput. Math. Appl. 36, No. 2, 51-63 (1998). MSC: 65L05 65L20 65L50 34L40 34A34 PDF BibTeX XML Cite \textit{T. E. Simos}, Comput. Math. Appl. 36, No. 2, 51--63 (1998; Zbl 0932.65082) Full Text: DOI OpenURL
Simos, T. E.; Tsitouras, Ch. A \(P\)-stable eighth-order method for the numerical integration of periodic initial-value problems. (English) Zbl 0870.65072 J. Comput. Phys. 130, No. 1, 123-128 (1997). Reviewer: R.Scherer (Karlsruhe) MSC: 65L20 65L05 34A34 65L06 34C25 PDF BibTeX XML Cite \textit{T. E. Simos} and \textit{Ch. Tsitouras}, J. Comput. Phys. 130, No. 1, 123--128 (1997; Zbl 0870.65072) Full Text: DOI OpenURL
Simos, T. E. Some new variable-step methods with minimal phase lag for the numerical integration of special second-order initial-value problem. (English) Zbl 0808.65068 Appl. Math. Comput. 64, No. 1, 65-72 (1994). Reviewer: M.Gousidou-Koutita (Thessaloniki) MSC: 65L05 65L06 65L70 34A34 PDF BibTeX XML Cite \textit{T. E. Simos}, Appl. Math. Comput. 64, No. 1, 65--72 (1994; Zbl 0808.65068) Full Text: DOI OpenURL
Simos, T. E. High-order methods with minimal phase-lag for the numerical integration of the special second-order initial value problem and their application to the one-dimensional Schrödinger equation. (English) Zbl 0855.65085 Comput. Phys. Commun. 74, No. 1, 63-66 (1993). MSC: 65L06 65L05 34L40 34A34 PDF BibTeX XML Cite \textit{T. E. Simos}, Comput. Phys. Commun. 74, No. 1, 63--66 (1993; Zbl 0855.65085) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{T. E. Simos}, Appl. Math. Lett. 6, No. 3, 67--73 (1993; Zbl 0772.65048) Full Text: DOI OpenURL
Simos, T. E. Explicit two-step methods with minimal phase-lag for the numerical integration of special second-order initial-value problems and their application to the one-dimensional Schrödinger equation. (English) Zbl 0755.65075 J. Comput. Appl. Math. 39, No. 1, 89-94 (1992). Reviewer: A.Marciniak (Poznań) MSC: 65L05 34A34 34L40 PDF BibTeX XML Cite \textit{T. E. Simos}, J. Comput. Appl. Math. 39, No. 1, 89--94 (1992; Zbl 0755.65075) Full Text: DOI OpenURL
Raptis, A. D.; Simos, T. E. A four-step phase-fitted method for the numerical integration of second order initial-value problems. (English) Zbl 0726.65089 BIT 31, No. 1, 160-168 (1991). Reviewer: M.Gousidou-Koutita (Thessaloniki) MSC: 65L06 65L05 34A34 34C25 34L40 PDF BibTeX XML Cite \textit{A. D. Raptis} and \textit{T. E. Simos}, BIT 31, No. 1, 160--168 (1991; Zbl 0726.65089) Full Text: DOI OpenURL