Ajani Rufai, Mufutau; Mazzia, Francesca; Ramos, Higinio An adaptive optimized Nyström method for second-order IVPs. (English) Zbl 07782425 Math. Methods Appl. Sci. 46, No. 6, 7543-7556 (2023). MSC: 65L05 65L20 PDFBibTeX XMLCite \textit{M. Ajani Rufai} et al., Math. Methods Appl. Sci. 46, No. 6, 7543--7556 (2023; Zbl 07782425) Full Text: DOI
Tassaddiq, Asifa; Qureshi, Sania; Soomro, Amanullah; Hincal, Evren; Shaikh, Asif Ali A new continuous hybrid block method with one optimal intrastep point through interpolation and collocation. (English) Zbl 07702965 Fixed Point Theory Algorithms Sci. Eng. 2022, Paper No. 22, 17 p. (2022). MSC: 65L05 65L07 65L20 PDFBibTeX XMLCite \textit{A. Tassaddiq} et al., Fixed Point Theory Algorithms Sci. Eng. 2022, Paper No. 22, 17 p. (2022; Zbl 07702965) Full Text: DOI
Shokri, Ali; Mehdizadeh Khalsaraei, Mohammad A new implicit high-order six-step singularly P-stable method for the numerical solution of Schrödinger equation. (English) Zbl 1466.81015 J. Math. Chem. 59, No. 1, 224-249 (2021). MSC: 81Q05 34L40 35Q41 65D30 PDFBibTeX XMLCite \textit{A. Shokri} and \textit{M. Mehdizadeh Khalsaraei}, J. Math. Chem. 59, No. 1, 224--249 (2021; Zbl 1466.81015) Full Text: DOI
Medvedev, Maxim A.; Simos, T. E.; Tsitouras, Ch. Explicit, eighth-order, four-step methods for solving \(y^{\prime\prime}=f(x, y)\). (English) Zbl 1450.65063 Bull. Malays. Math. Sci. Soc. (2) 43, No. 5, 3791-3807 (2020). MSC: 65L05 65L06 PDFBibTeX XMLCite \textit{M. A. Medvedev} et al., Bull. Malays. Math. Sci. Soc. (2) 43, No. 5, 3791--3807 (2020; Zbl 1450.65063) Full Text: DOI
Khalsaraei, Mohammad Mehdizadeh; Shokri, Ali; Molayi, Maryam The new class of multistep multiderivative hybrid methods for the numerical solution of chemical stiff systems of first order IVPs. (English) Zbl 1448.92399 J. Math. Chem. 58, No. 9, 1987-2012 (2020). MSC: 92E20 34D20 PDFBibTeX XMLCite \textit{M. M. Khalsaraei} et al., J. Math. Chem. 58, No. 9, 1987--2012 (2020; Zbl 1448.92399) Full Text: DOI
Khalsaraei, Mohammad Mehdizadeh; Shokri, Ali An explicit six-step singularly P-stable Obrechkoff method for the numerical solution of second-order oscillatory initial value problems. (English) Zbl 1442.65122 Numer. Algorithms 84, No. 3, 871-886 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65L05 65L06 65P10 PDFBibTeX XMLCite \textit{M. M. Khalsaraei} and \textit{A. Shokri}, Numer. Algorithms 84, No. 3, 871--886 (2020; Zbl 1442.65122) Full Text: DOI
Konguetsof, A. Algorithm for the development of families of numerical methods based on phase-lag Taylor series. (English) Zbl 1433.81080 J. Math. Chem. 58, No. 1, 178-203 (2020). MSC: 81Q05 81V55 65P40 PDFBibTeX XMLCite \textit{A. Konguetsof}, J. Math. Chem. 58, No. 1, 178--203 (2020; Zbl 1433.81080) Full Text: DOI
Tsitouras, Ch. Eighth order, phase-fitted, six-step methods for solving \(y^{\prime \prime}=f(x,y)\). (English) Zbl 1433.65130 J. Math. Chem. 58, No. 1, 114-125 (2020). MSC: 65L05 65L06 PDFBibTeX XMLCite \textit{Ch. Tsitouras}, J. Math. Chem. 58, No. 1, 114--125 (2020; Zbl 1433.65130) Full Text: DOI
Fang, Jie; Liu, Chenglian; Simos, T. E.; Famelis, I. Th. Neural network solution of single-delay differential equations. (English) Zbl 1431.65090 Mediterr. J. Math. 17, No. 1, Paper No. 30, 15 p. (2020). MSC: 65L03 65L05 68Q32 PDFBibTeX XMLCite \textit{J. Fang} et al., Mediterr. J. Math. 17, No. 1, Paper No. 30, 15 p. (2020; Zbl 1431.65090) Full Text: DOI
Tsitouras, Ch. Explicit Runge-Kutta methods for starting integration of Lane-Emden problem. (English) Zbl 1429.65149 Appl. Math. Comput. 354, 353-364 (2019). MSC: 65L05 05C05 65L06 68W30 34A34 PDFBibTeX XMLCite \textit{Ch. Tsitouras}, Appl. Math. Comput. 354, 353--364 (2019; Zbl 1429.65149) Full Text: DOI
Zhang, Xunying; Simos, T. E. A multiple stage absolute in phase scheme for chemistry problems. (English) Zbl 1426.81059 J. Math. Chem. 57, No. 9, 2049-2074 (2019). MSC: 81V55 81Q05 47N60 65L05 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{T. E. Simos}, J. Math. Chem. 57, No. 9, 2049--2074 (2019; Zbl 1426.81059) Full Text: DOI
Qiu, Junlai; Huang, Junjie; Simos, T. E. A perfect in phase FD algorithm for problems in quantum chemistry. (English) Zbl 1426.81058 J. Math. Chem. 57, No. 9, 2019-2048 (2019). MSC: 81V55 81Q05 47N60 65L05 PDFBibTeX XMLCite \textit{J. Qiu} et al., J. Math. Chem. 57, No. 9, 2019--2048 (2019; Zbl 1426.81058) Full Text: DOI
Liu, Chenglian; Hsu, Chieh-Wen; Tsitouras, Ch.; Simos, T. E. Hybrid Numerov-type methods with coefficients trained to perform better on classical orbits. (English) Zbl 1437.65067 Bull. Malays. Math. Sci. Soc. (2) 42, No. 5, 2119-2134 (2019). MSC: 65L05 65L06 65P10 70F05 PDFBibTeX XMLCite \textit{C. Liu} et al., Bull. Malays. Math. Sci. Soc. (2) 42, No. 5, 2119--2134 (2019; Zbl 1437.65067) Full Text: DOI
Lv, Jieyin; Simos, T. E. A Runge-Kutta type crowded in phase algorithm for quantum chemistry problems. (English) Zbl 1422.81180 J. Math. Chem. 57, No. 8, 1983-2006 (2019). MSC: 81V55 65L05 81Q05 PDFBibTeX XMLCite \textit{J. Lv} and \textit{T. E. Simos}, J. Math. Chem. 57, No. 8, 1983--2006 (2019; Zbl 1422.81180) Full Text: DOI
Xu, Mingfei; Simos, T. E. A multistage two-step fraught in phase scheme for problems in mathematical chemistry. (English) Zbl 1436.65086 J. Math. Chem. 57, No. 7, 1710-1731 (2019). MSC: 65L05 65L12 PDFBibTeX XMLCite \textit{M. Xu} and \textit{T. E. Simos}, J. Math. Chem. 57, No. 7, 1710--1731 (2019; Zbl 1436.65086) Full Text: DOI
Alolyan, Ibraheem; Simos, T. E. A four-stages multistep fraught in phase method for quantum chemistry problems. (English) Zbl 1417.81170 J. Math. Chem. 57, No. 6, 1627-1651 (2019). MSC: 81V55 65L05 35G40 PDFBibTeX XMLCite \textit{I. Alolyan} and \textit{T. E. Simos}, J. Math. Chem. 57, No. 6, 1627--1651 (2019; Zbl 1417.81170) Full Text: DOI
Medvedev, Maxim A.; Simos, T. E. A three-stages multistep teeming in phase algorithm for computational problems in chemistry. (English) Zbl 1417.81172 J. Math. Chem. 57, No. 6, 1598-1617 (2019). MSC: 81V55 65L05 81Q05 PDFBibTeX XMLCite \textit{M. A. Medvedev} and \textit{T. E. Simos}, J. Math. Chem. 57, No. 6, 1598--1617 (2019; Zbl 1417.81172) Full Text: DOI
Lin, Chialiang; Chen, Jwu Jenq; Simos, T. E.; Tsitouras, Ch. Evolutionary derivation of sixth-order P-stable SDIRKN methods for the solution of PDEs with the method of lines. (English) Zbl 1415.65150 Mediterr. J. Math. 16, No. 3, Paper No. 69, 17 p. (2019). MSC: 65L04 65L06 65M20 90C59 PDFBibTeX XMLCite \textit{C. Lin} et al., Mediterr. J. Math. 16, No. 3, Paper No. 69, 17 p. (2019; Zbl 1415.65150) Full Text: DOI
Hsu, Chieh-Wen; Lin, Chialiang; Liu, Chenglian; Simos, T. E. A new four-stages two-step phase fitted scheme for problems in quantum chemistry. (English) Zbl 1414.81281 J. Math. Chem. 57, No. 4, 1201-1229 (2019). MSC: 81V55 PDFBibTeX XMLCite \textit{C.-W. Hsu} et al., J. Math. Chem. 57, No. 4, 1201--1229 (2019; Zbl 1414.81281) Full Text: DOI
Chen, Zhong; Liu, Chenglian; Hsu, Chieh-Wen; Simos, T. E. A new multistage multistep full in phase algorithm with optimized characteristics for problems in chemistry. (English) Zbl 1414.81279 J. Math. Chem. 57, No. 4, 1112-1139 (2019). MSC: 81V55 65L05 PDFBibTeX XMLCite \textit{Z. Chen} et al., J. Math. Chem. 57, No. 4, 1112--1139 (2019; Zbl 1414.81279) Full Text: DOI
Hui, Fei; Simos, T. E. New multistage two-step complete in phase scheme with improved properties for quantum chemistry problems. (English) Zbl 1414.81088 J. Math. Chem. 57, No. 4, 1088-1111 (2019). MSC: 81Q05 81V55 65L05 PDFBibTeX XMLCite \textit{F. Hui} and \textit{T. E. Simos}, J. Math. Chem. 57, No. 4, 1088--1111 (2019; Zbl 1414.81088) Full Text: DOI
Yang, Nan; Simos, T. E. New four stages multistep in phase algorithm with best possible properties for second order problems. (English) Zbl 1414.81101 J. Math. Chem. 57, No. 3, 895-917 (2019). MSC: 81Q05 65L05 PDFBibTeX XMLCite \textit{N. Yang} and \textit{T. E. Simos}, J. Math. Chem. 57, No. 3, 895--917 (2019; Zbl 1414.81101) Full Text: DOI
Alolyan, Ibraheem; Simos, T. E. New multiple stages multistep method with best possible phase properties for second order initial/boundary value problems. (English) Zbl 1414.81083 J. Math. Chem. 57, No. 3, 834-857 (2019). MSC: 81Q05 65L05 PDFBibTeX XMLCite \textit{I. Alolyan} and \textit{T. E. Simos}, J. Math. Chem. 57, No. 3, 834--857 (2019; Zbl 1414.81083) Full Text: DOI
Wang, Guiping; Simos, T. E. New multiple stages two-step complete in phase algorithm with improved characteristics for second order initial/boundary value problems. (English) Zbl 1414.81100 J. Math. Chem. 57, No. 2, 494-515 (2019). MSC: 81Q05 65L05 81V55 PDFBibTeX XMLCite \textit{G. Wang} and \textit{T. E. Simos}, J. Math. Chem. 57, No. 2, 494--515 (2019; Zbl 1414.81100) Full Text: DOI
Kovalnogov, V. N.; Fedorov, R. V.; Suranov, D. V.; Simos, T. E. New multiple stages scheme with improved properties for second order problems. (English) Zbl 1406.81026 J. Math. Chem. 57, No. 1, 232-262 (2019). MSC: 81Q05 65L05 81-08 34A30 PDFBibTeX XMLCite \textit{V. N. Kovalnogov} et al., J. Math. Chem. 57, No. 1, 232--262 (2019; Zbl 1406.81026) Full Text: DOI
Qiu, Guo-Hua; Liu, Chenglian; Simos, T. E. A new multistep method with optimized characteristics for initial and/or boundary value problems. (English) Zbl 1406.81027 J. Math. Chem. 57, No. 1, 119-148 (2019). MSC: 81Q05 65L05 65L06 34A30 81-08 PDFBibTeX XMLCite \textit{G.-H. Qiu} et al., J. Math. Chem. 57, No. 1, 119--148 (2019; Zbl 1406.81027) Full Text: DOI
Tsitouras, Ch.; Famelis, I. Th. Bounds for variable degree rational \(L_\infty\) approximations to the matrix exponential. (English) Zbl 1427.65062 Appl. Math. Comput. 338, 376-386 (2018). MSC: 65F99 65D20 65F60 65L06 65L05 34A34 65M20 PDFBibTeX XMLCite \textit{Ch. Tsitouras} and \textit{I. Th. Famelis}, Appl. Math. Comput. 338, 376--386 (2018; Zbl 1427.65062) Full Text: DOI
Kovalnogov, V. N.; Fedorov, R. V.; Simos, T. E. New hybrid symmetric two step scheme with optimized characteristics for second order problems. (English) Zbl 1411.65087 J. Math. Chem. 56, No. 9, 2816-2844 (2018). MSC: 65L05 65L06 81Q05 PDFBibTeX XMLCite \textit{V. N. Kovalnogov} et al., J. Math. Chem. 56, No. 9, 2816--2844 (2018; Zbl 1411.65087) Full Text: DOI
Chen, Zhong; Liu, Chenglian; Simos, T. E. New three-stages symmetric two step method with improved properties for second order initial/boundary value problems. (English) Zbl 1411.65086 J. Math. Chem. 56, No. 9, 2591-2616 (2018). MSC: 65L05 65L06 81Q05 PDFBibTeX XMLCite \textit{Z. Chen} et al., J. Math. Chem. 56, No. 9, 2591--2616 (2018; Zbl 1411.65086) Full Text: DOI
Hao, Ruru; Simos, T. E. New Runge-Kutta type symmetric two step finite difference pair with improved properties for second order initial and/or boundary value problems. (English) Zbl 1406.81025 J. Math. Chem. 56, No. 10, 3014-3044 (2018). MSC: 81Q05 92E10 65L05 65L06 81V55 65L12 81-08 PDFBibTeX XMLCite \textit{R. Hao} and \textit{T. E. Simos}, J. Math. Chem. 56, No. 10, 3014--3044 (2018; Zbl 1406.81025) Full Text: DOI
Alolyan, Ibraheem; Simos, T. E. New four-stages symmetric six-step method with improved phase properties for second order problems with periodical and/or oscillating solutions. (English) Zbl 1425.65072 J. Math. Chem. 56, No. 10, 2898-2928 (2018). MSC: 65L05 PDFBibTeX XMLCite \textit{I. Alolyan} and \textit{T. E. Simos}, J. Math. Chem. 56, No. 10, 2898--2928 (2018; Zbl 1425.65072) Full Text: DOI
Yan, Ke; Simos, T. E. New Runge-Kutta type symmetric two-step method with optimized characteristics. (English) Zbl 1402.81145 J. Math. Chem. 56, No. 8, 2454-2484 (2018). MSC: 81Q05 65L05 81-08 65L06 PDFBibTeX XMLCite \textit{K. Yan} and \textit{T. E. Simos}, J. Math. Chem. 56, No. 8, 2454--2484 (2018; Zbl 1402.81145) Full Text: DOI
Kovalnogov, V. N.; Fedorov, R. V.; Bondarenko, A. A.; Simos, T. E. New hybrid two-step method with optimized phase and stability characteristics. (English) Zbl 1402.81137 J. Math. Chem. 56, No. 8, 2302-2340 (2018). MSC: 81Q05 81-08 65L05 65L06 PDFBibTeX XMLCite \textit{V. N. Kovalnogov} et al., J. Math. Chem. 56, No. 8, 2302--2340 (2018; Zbl 1402.81137) Full Text: DOI
Alolyan, Ibraheem; Simos, T. E. New three-stages symmetric six-step finite difference method with vanished phase-lag and its derivatives up to sixth derivative for second order initial and/or boundary value problems with periodical and/or oscillating solutions. (English) Zbl 1402.81123 J. Math. Chem. 56, No. 8, 2267-2301 (2018). MSC: 81Q05 81-08 65L06 65L12 PDFBibTeX XMLCite \textit{I. Alolyan} and \textit{T. E. Simos}, J. Math. Chem. 56, No. 8, 2267--2301 (2018; Zbl 1402.81123) Full Text: DOI
Tsitouras, Ch.; Simos, T. E. Trigonometric-fitted explicit Numerov-type method with vanishing phase-lag and its first and second derivatives. (English) Zbl 1402.65063 Mediterr. J. Math. 15, No. 4, Paper No. 168, 1-16 (2018). MSC: 65L05 65L06 PDFBibTeX XMLCite \textit{Ch. Tsitouras} and \textit{T. E. Simos}, Mediterr. J. Math. 15, No. 4, Paper No. 168, 1--16 (2018; Zbl 1402.65063) Full Text: DOI
Yao, Junfeng; Simos, T. E. New five-stages two-step method with improved characteristics. (English) Zbl 1397.81068 J. Math. Chem. 56, No. 6, 1567-1594 (2018). MSC: 81Q05 65L05 81-08 PDFBibTeX XMLCite \textit{J. Yao} and \textit{T. E. Simos}, J. Math. Chem. 56, No. 6, 1567--1594 (2018; Zbl 1397.81068) Full Text: DOI
Tsitouras, Ch.; Famelis, I. Th. A new eighth order exponentially fitted explicit Numerov-type method for solving oscillatory problems. (English) Zbl 1446.65045 J. Math. Chem. 56, No. 5, 1456-1466 (2018). MSC: 65L05 65L06 65L50 PDFBibTeX XMLCite \textit{Ch. Tsitouras} and \textit{I. Th. Famelis}, J. Math. Chem. 56, No. 5, 1456--1466 (2018; Zbl 1446.65045) Full Text: DOI
Liu, Chenglian; Simos, T. E. A five-stages symmetric method with improved phase properties. (English) Zbl 1479.81019 J. Math. Chem. 56, No. 4, 1313-1338 (2018). MSC: 81Q05 65M12 65M15 81-08 PDFBibTeX XMLCite \textit{C. Liu} and \textit{T. E. Simos}, J. Math. Chem. 56, No. 4, 1313--1338 (2018; Zbl 1479.81019) Full Text: DOI
Medvedev, Maxim A.; Simos, T. E. A new three-stages six-step finite difference pair with optimal phase properties for second order initial and/or boundary value problems with periodical and/or oscillating solutions. (English) Zbl 1447.81114 J. Math. Chem. 56, No. 4, 1280-1312 (2018). MSC: 81Q05 65M06 81-08 PDFBibTeX XMLCite \textit{M. A. Medvedev} and \textit{T. E. Simos}, J. Math. Chem. 56, No. 4, 1280--1312 (2018; Zbl 1447.81114) Full Text: DOI
Medvedev, Maxim A.; Simos, T. E. A new six-step algorithm with improved properties for the numerical solution of second order initial and/or boundary value problems. (English) Zbl 1447.81113 J. Math. Chem. 56, No. 4, 1206-1233 (2018). MSC: 81Q05 65M06 65M15 81-08 PDFBibTeX XMLCite \textit{M. A. Medvedev} and \textit{T. E. Simos}, J. Math. Chem. 56, No. 4, 1206--1233 (2018; Zbl 1447.81113) Full Text: DOI
Shi, Xin; Simos, T. E. New five-stages finite difference pair with optimized phase properties. (English) Zbl 1447.81118 J. Math. Chem. 56, No. 4, 982-1010 (2018). MSC: 81Q05 65M06 81-08 PDFBibTeX XMLCite \textit{X. Shi} and \textit{T. E. Simos}, J. Math. Chem. 56, No. 4, 982--1010 (2018; Zbl 1447.81118) Full Text: DOI
Tsitouras, Ch.; Simos, T. E. On ninth order, explicit Numerov-type methods with constant coefficients. (English) Zbl 1446.65046 Mediterr. J. Math. 15, No. 2, Paper No. 46, 17 p. (2018). MSC: 65L05 65L06 PDFBibTeX XMLCite \textit{Ch. Tsitouras} and \textit{T. E. Simos}, Mediterr. J. Math. 15, No. 2, Paper No. 46, 17 p. (2018; Zbl 1446.65046) Full Text: DOI
Zheng, Jinbin; Liu, Chenglian; Simos, T. E. A new two-step finite difference pair with optimal properties. (English) Zbl 1474.65219 J. Math. Chem. 56, No. 3, 770-798 (2018). Reviewer: Petr Sváček (Praha) MSC: 65L05 65L06 65L12 PDFBibTeX XMLCite \textit{J. Zheng} et al., J. Math. Chem. 56, No. 3, 770--798 (2018; Zbl 1474.65219) Full Text: DOI