Alyousef, Haifa A.; Alharthi, M. R.; Salas, Alvaro H.; El-Tantawy, S. A. Optimal analytical and numerical approximations to the (un)forced (un)damped parametric pendulum oscillator. (English) Zbl 1516.34060 Commun. Theor. Phys. 74, No. 10, Article ID 105002, 14 p. (2022). MSC: 34C15 34A45 65L06 PDFBibTeX XMLCite \textit{H. A. Alyousef} et al., Commun. Theor. Phys. 74, No. 10, Article ID 105002, 14 p. (2022; Zbl 1516.34060) Full Text: DOI
Peng, Hao-Hao; Deng, Jian; Lou, Sen-Yue; Wang, Qun High precision solutions to quantized vortices within Gross-Pitaevskii equation. (English) Zbl 1514.35373 Commun. Theor. Phys. 74, No. 9, Article ID 095002, 10 p. (2022). MSC: 35Q40 81V73 41A21 PDFBibTeX XMLCite \textit{H.-H. Peng} et al., Commun. Theor. Phys. 74, No. 9, Article ID 095002, 10 p. (2022; Zbl 1514.35373) Full Text: DOI arXiv
Kumbhakar, Manotosh; Tsai, Christina W. A probabilistic model on streamwise velocity profile in open channels using Tsallis relative entropy theory. (English) Zbl 1508.94052 Chaos Solitons Fractals 165, Part 2, Article ID 112825, 15 p. (2022). MSC: 94A40 94A17 94A15 PDFBibTeX XMLCite \textit{M. Kumbhakar} and \textit{C. W. Tsai}, Chaos Solitons Fractals 165, Part 2, Article ID 112825, 15 p. (2022; Zbl 1508.94052) Full Text: DOI
Honshuku, Yuta; Isakari, Hiroshi A topology optimisation of acoustic devices based on the frequency response estimation with the Padé approximation. (English) Zbl 1505.74179 Appl. Math. Modelling 110, 819-840 (2022). MSC: 74P15 49Q12 PDFBibTeX XMLCite \textit{Y. Honshuku} and \textit{H. Isakari}, Appl. Math. Modelling 110, 819--840 (2022; Zbl 1505.74179) Full Text: DOI arXiv
Wu, Baisheng; Zhou, Yixin; Lim, C. W.; Zhong, Huixiang Analytical approximations to the Lambert \(W\) function. (English) Zbl 1505.33001 Appl. Math. Modelling 104, 114-121 (2022). MSC: 33B10 30D05 41A21 PDFBibTeX XMLCite \textit{B. Wu} et al., Appl. Math. Modelling 104, 114--121 (2022; Zbl 1505.33001) Full Text: DOI
Zhao, Yaqi; Ren, Xin; Ilyas, Amara; Saridakis, Emmanuel N.; Cai, Yi-Fu Quasinormal modes of black holes in \(f(T)\) gravity. (English) Zbl 1515.83180 J. Cosmol. Astropart. Phys. 2022, No. 10, Paper No. 87, 21 p. (2022). MSC: 83C57 83F05 35B20 83D05 81T10 81V10 35A35 81Q20 41A21 83C35 58J52 PDFBibTeX XMLCite \textit{Y. Zhao} et al., J. Cosmol. Astropart. Phys. 2022, No. 10, Paper No. 87, 21 p. (2022; Zbl 1515.83180) Full Text: DOI arXiv
Gogoi, Dhruba Jyoti; Dev Goswami, Umananda Quasinormal modes and Hawking radiation sparsity of GUP corrected black holes in bumblebee gravity with topological defects. (English) Zbl 1506.83030 J. Cosmol. Astropart. Phys. 2022, No. 6, Paper No. 29, 42 p. (2022). MSC: 83C57 80A10 83C15 83C35 83D05 83C45 81S07 41A21 81V60 22E43 81R40 PDFBibTeX XMLCite \textit{D. J. Gogoi} and \textit{U. Dev Goswami}, J. Cosmol. Astropart. Phys. 2022, No. 6, Paper No. 29, 42 p. (2022; Zbl 1506.83030) Full Text: DOI arXiv
Wu, Mengling; Jiang, Yunzhi; Ge, Yongbin A high accuracy local one-dimensional explicit compact scheme for the 2D acoustic wave equation. (English) Zbl 1502.65078 Adv. Math. Phys. 2022, Article ID 9743699, 14 p. (2022). MSC: 65M06 65N06 65T50 41A21 42B10 76Q05 35Q35 PDFBibTeX XMLCite \textit{M. Wu} et al., Adv. Math. Phys. 2022, Article ID 9743699, 14 p. (2022; Zbl 1502.65078) Full Text: DOI
Moosavi Noori, Seyyedeh Roodabeh; Taghizadeh, Nasir Modified differential transform method for solving linear and nonlinear pantograph type of differential and Volterra integro-differential equations with proportional delays. (English) Zbl 1487.65200 Adv. Difference Equ. 2020, Paper No. 649, 25 p. (2020). MSC: 65R20 45D05 44A10 PDFBibTeX XMLCite \textit{S. R. Moosavi Noori} and \textit{N. Taghizadeh}, Adv. Difference Equ. 2020, Paper No. 649, 25 p. (2020; Zbl 1487.65200) Full Text: DOI
Chen, Changkai; Zhang, Xiaohua; Liu, Zhang; Zhang, Yage A new high-order compact finite difference scheme based on precise integration method for the numerical simulation of parabolic equations. (English) Zbl 1487.65114 Adv. Difference Equ. 2020, Paper No. 15, 28 p. (2020). MSC: 65M06 65M12 76M20 65N06 PDFBibTeX XMLCite \textit{C. Chen} et al., Adv. Difference Equ. 2020, Paper No. 15, 28 p. (2020; Zbl 1487.65114) Full Text: DOI
Arya, Mohit; Ujlayan, Amit Solution of Riccati differential equation with Green’s function and Padé approximation technique. (Solution of Riccati differential equation with Green’s function and Padè approximation technique.) (English) Zbl 1524.34037 Adv. Differ. Equ. Control Process. 21, No. 1, 31-52 (2019). MSC: 34A45 34B27 34B30 PDFBibTeX XMLCite \textit{M. Arya} and \textit{A. Ujlayan}, Adv. Differ. Equ. Control Process. 21, No. 1, 31--52 (2019; Zbl 1524.34037) Full Text: DOI
Rangarajan, R.; Shashikala, P. Four orthogonal polynomials connected to a two parameter function of Mittag-Leffler type. (English) Zbl 1446.41007 Bull. Int. Math. Virtual Inst. 4, No. 1, 81-88 (2014). MSC: 41A21 11J70 30B70 33C45 PDFBibTeX XMLCite \textit{R. Rangarajan} and \textit{P. Shashikala}, Bull. Int. Math. Virtual Inst. 4, No. 1, 81--88 (2014; Zbl 1446.41007)
Kaysar, Rahman; Nurmamat, Helil A Padé approximation scheme for solving convection-diffusion equation. (Chinese. English summary) Zbl 1340.65170 J. Jiangxi Norm. Univ., Nat. Sci. Ed. 38, No. 3, 261-264 (2014). MSC: 65M06 65M12 35K20 PDFBibTeX XMLCite \textit{R. Kaysar} and \textit{H. Nurmamat}, J. Jiangxi Norm. Univ., Nat. Sci. Ed. 38, No. 3, 261--264 (2014; Zbl 1340.65170)
Buslaev, V. I.; Suetin, S. P. Existence of compact sets with minimum capacity in problems of rational approximation of multivalued analytic functions. (English. Russian original) Zbl 1290.31002 Russ. Math. Surv. 69, No. 1, 159-161 (2014); translation from Usp. Mat. Nauk 69, No. 1, 169-170 (2014). MSC: 31A15 41A21 PDFBibTeX XMLCite \textit{V. I. Buslaev} and \textit{S. P. Suetin}, Russ. Math. Surv. 69, No. 1, 159--161 (2014; Zbl 1290.31002); translation from Usp. Mat. Nauk 69, No. 1, 169--170 (2014) Full Text: DOI
Abbasbandy, S.; Ghehsareh, H. Roohani Solutions for MHD viscous flow due to a shrinking sheet by Hankel-Padé method. (English) Zbl 1356.76415 Int. J. Numer. Methods Heat Fluid Flow 23, No. 2, 388-400 (2013). MSC: 76W05 76M25 PDFBibTeX XMLCite \textit{S. Abbasbandy} and \textit{H. R. Ghehsareh}, Int. J. Numer. Methods Heat Fluid Flow 23, No. 2, 388--400 (2013; Zbl 1356.76415) Full Text: DOI
Tampos, Arnel L.; Lope, Jose Ernie C.; Hesthaven, Jan S. Accurate reconstruction of discontinuous functions using the singular Padé-Chebyshev method. (English) Zbl 1512.41009 IAENG, Int. J. Appl. Math. 42, No. 4, 242-249 (2012). MSC: 41A21 30E10 PDFBibTeX XMLCite \textit{A. L. Tampos} et al., IAENG, Int. J. Appl. Math. 42, No. 4, 242--249 (2012; Zbl 1512.41009)
Starovoĭtov, A. P.; Starovoĭtova, N. A.; Ryabchenko, N. V. Asymptotic form of the best uniform rational approximations. (Russian. English summary) Zbl 1366.41009 Dokl. Nats. Akad. Nauk Belarusi 56, No. 1, 30-35 (2012). MSC: 41A20 41A21 PDFBibTeX XMLCite \textit{A. P. Starovoĭtov} et al., Dokl. Nats. Akad. Nauk Belarusi 56, No. 1, 30--35 (2012; Zbl 1366.41009)
Köroğlu, Canan Option pricing with Padé approximations. (English) Zbl 1296.91265 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 61, No. 2, 45-50 (2012). MSC: 91G20 41A21 91G60 PDFBibTeX XMLCite \textit{C. Köroğlu}, Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 61, No. 2, 45--50 (2012; Zbl 1296.91265) Full Text: DOI
Sharma, J. P.; Jayapandian, D. P.; Shalini; Thomas, Sanish Transformations of the equation of equilibrium for isothermal plane-symmetric configuration. (English) Zbl 1227.65069 J. Indian Math. Soc., New Ser. 77, No. 1-4, 179-185 (2010). MSC: 65L99 PDFBibTeX XMLCite \textit{J. P. Sharma} et al., J. Indian Math. Soc., New Ser. 77, No. 1--4, 179--185 (2010; Zbl 1227.65069)
Chen, Xiaokun; Gao, Qiang Application of a rational reduced order model in electromagnetics. (Chinese. English summary) Zbl 1096.78523 J. Anhui Univ., Nat. Sci. 30, No. 1, 41-44 (2006). MSC: 78M25 PDFBibTeX XMLCite \textit{X. Chen} and \textit{Q. Gao}, J. Anhui Univ., Nat. Sci. 30, No. 1, 41--44 (2006; Zbl 1096.78523)
Ning, Rongjian Existence of the rational interpolant spline for \(y=e^x\) on \([0,1]\) and the recursive algorithm. (Chinese. English summary) Zbl 1153.41303 J. Hefei Univ. Technol., Nat. Sci. 27, No. 12, 1585-1589 (2004). MSC: 41A20 41A21 PDFBibTeX XMLCite \textit{R. Ning}, J. Hefei Univ. Technol., Nat. Sci. 27, No. 12, 1585--1589 (2004; Zbl 1153.41303)
Farouki, Rida T.; Han, Chang Yong Rational approximation schemes for rotation-minimizing frames on Pythagorean-hodograph curves. (English) Zbl 1069.65551 Comput. Aided Geom. Des. 20, No. 7, 435-454 (2003). MSC: 65D18 41A20 41A63 53A04 65D05 PDFBibTeX XMLCite \textit{R. T. Farouki} and \textit{C. Y. Han}, Comput. Aided Geom. Des. 20, No. 7, 435--454 (2003; Zbl 1069.65551) Full Text: DOI
Belkić, Dževad Padé based-magnetic resonance spectroscopy (MRS). (English) Zbl 1090.94515 J. Comput. Methods Sci. Eng. 3, No. 4, 563-733 (2003). MSC: 94A12 41A21 PDFBibTeX XMLCite \textit{D. Belkić}, J. Comput. Methods Sci. Eng. 3, No. 4, 563--733 (2003; Zbl 1090.94515)
Kai, Hiroshi; Noda, Matu-Tarow Error estimation in 2-variable hybrid rational function approximations. (Japanese) Zbl 0985.41500 RIMS Kokyuroku 1198, 36-42 (2001). MSC: 41A21 41A20 PDFBibTeX XMLCite \textit{H. Kai} and \textit{M.-T. Noda}, RIMS Kokyuroku 1198, 36--42 (2001; Zbl 0985.41500)
Fundora, A.; Pineiro, L. R. Simultaneous Hermite-Padé approximants for two Markov functions. (Spanish. English summary) Zbl 1158.41305 Rev. Cienc. Mat. 18, No. 1, 71-82 (2000). MSC: 41A21 41A29 PDFBibTeX XMLCite \textit{A. Fundora} and \textit{L. R. Pineiro}, Rev. Cienc. Mat. 18, No. 1, 71--82 (2000; Zbl 1158.41305)
Gu, Chuan Qing A new Padé approximation algorithm for matrix exponentials. (Chinese. English summary) Zbl 1498.65032 Acta Autom. Sin. 25, No. 1, 94-99 (1999). MSC: 65D15 41A21 PDFBibTeX XMLCite \textit{C. Q. Gu}, Acta Autom. Sin. 25, No. 1, 94--99 (1999; Zbl 1498.65032)
Brünig, M. Formulation of large elastic-plastic deformations with metric transformations and their numerical treatment. (Formulierung großer elastisch-plastischer Deformationen mit Metrik-Transformationen und deren numerische Behandlung.) (German) Zbl 0944.74523 ZAMM, Z. Angew. Math. Mech. 79, Suppl. 2, S531-S532 (1999). MSC: 74C15 74S05 PDFBibTeX XMLCite \textit{M. Brünig}, ZAMM, Z. Angew. Math. Mech. 79, S531--S532 (1999; Zbl 0944.74523)
Suetin, S. P. Asymptotics of the denominators of the diagonal Padé approximations of orthogonal expansions. (English. Russian original) Zbl 0972.41013 Dokl. Math. 56, No. 2, 774-776 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 356, No. 6, 744-746 (1997). MSC: 41A21 PDFBibTeX XMLCite \textit{S. P. Suetin}, Dokl. Math. 56, No. 2, 744--746 (1997; Zbl 0972.41013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 356, No. 6, 744--746 (1997)
Cala Rodríguez, Francisco Convergence of interpolating rational functions with preassigned poles. (English) Zbl 1109.30303 Umeå: Univ. Umeå, Dept. of Math. not consec. pag. (1997). MSC: 30E10 31A05 41A21 41A25 42C05 PDFBibTeX XMLCite \textit{F. Cala Rodríguez}, Convergence of interpolating rational functions with preassigned poles. Umeå: Univ. Umeå, Dept. of Math. (1997; Zbl 1109.30303)
Feng, Fangfang; Shieh, Leang-San; Chen, Guanrong Model conversions of uncertain linear systems using interval multipoint Padé approximation. (English) Zbl 0875.93262 Appl. Math. Modelling 21, No. 4, 233-244 (1997). MSC: 93C57 41A21 PDFBibTeX XMLCite \textit{F. Feng} et al., Appl. Math. Modelling 21, No. 4, 233--244 (1997; Zbl 0875.93262) Full Text: DOI
Steinfelds, Eric; Samuel, Mark A.; McCormick, N. J.; Reid, James H. Radiative transfer single-scattering albedo estimation with a super-Padé approximation of Chandrasekhar’s \(H\)-function. (English) Zbl 0875.85001 Int. J. Theor. Phys. 36, No. 4, 997-1007 (1997). MSC: 85A25 41A21 PDFBibTeX XMLCite \textit{E. Steinfelds} et al., Int. J. Theor. Phys. 36, No. 4, 997--1007 (1997; Zbl 0875.85001) Full Text: DOI
Pestano, Cabino; Gonzales, Conception Characterization of the orders in VARMA models. (English) Zbl 0875.65125 Przegl. Stat. 43, No. 3-4, 183-190 (1996). MSC: 65C99 65F30 62M10 PDFBibTeX XMLCite \textit{C. Pestano} and \textit{C. Gonzales}, Przegl. Stat. 43, No. 3--4, 183--190 (1996; Zbl 0875.65125)
Aguirre, Luis Antonio Matrix formulae for open and closed-loop approximate model matching in frequency domain. (English) Zbl 0850.93139 Int. J. Syst. Sci. 26, No. 11, 2069-2089 (1995). MSC: 93B11 93A30 41A21 PDFBibTeX XMLCite \textit{L. A. Aguirre}, Int. J. Syst. Sci. 26, No. 11, 2069--2089 (1995; Zbl 0850.93139) Full Text: DOI
Kai, Hiroshi; Noda, Matu-Tarow The relationship between an approximate GCD and the Padé approximation. (Japanese) Zbl 0938.41502 RIMS Kokyuroku 920, 74-81 (1995). MSC: 41A21 PDFBibTeX XMLCite \textit{H. Kai} and \textit{M.-T. Noda}, RIMS Kokyuroku 920, 74--81 (1995; Zbl 0938.41502)
Andrianov, I. V.; Kholod, E. G. On the Van Dyke problem. (English. Russian original) Zbl 1066.41502 Phys.-Dokl. 40, No. 9, 485-486 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 344, No. 1, 46-47 (1995). MSC: 41A21 PDFBibTeX XMLCite \textit{I. V. Andrianov} and \textit{E. G. Kholod}, Phys.-Dokl. 40, No. 9, 485--486 (1995; Zbl 1066.41502); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 344, No. 1, 46--47 (1995)
Andrianov, I. V. Using two-point Padé approximants in the mechanics of solids. (English) Zbl 0825.73377 Z. Angew. Math. Mech. 74, No. 4, T121-T122 (1994). MSC: 74H45 41A21 PDFBibTeX XMLCite \textit{I. V. Andrianov}, Z. Angew. Math. Mech. 74, No. 4, T121--T122 (1994; Zbl 0825.73377)
Lucas, T. N. Optimal model reduction by multipoint Padé approximation. (English) Zbl 0812.93020 J. Franklin Inst. 330, No. 1, 79-93 (1993). MSC: 93B11 41A21 93C05 93A30 93C80 PDFBibTeX XMLCite \textit{T. N. Lucas}, J. Franklin Inst. 330, No. 1, 79--93 (1993; Zbl 0812.93020) Full Text: DOI
Lucas, T. N. Optimal discrete model reduction by multipoint Padé approximation. (English) Zbl 0812.93021 J. Franklin Inst. 330, No. 5, 855-867 (1993). MSC: 93B11 93C55 41A21 93C05 93A30 93C80 PDFBibTeX XMLCite \textit{T. N. Lucas}, J. Franklin Inst. 330, No. 5, 855--867 (1993; Zbl 0812.93021) Full Text: DOI
Bai, Er-Wei; Chyung, Dong H. Improving delay estimates derived from least-square algorithms and Padé approximations. (English) Zbl 0775.93305 Int. J. Syst. Sci. 24, No. 4, 745-756 (1993). MSC: 93E24 41A21 PDFBibTeX XMLCite \textit{E.-W. Bai} and \textit{D. H. Chyung}, Int. J. Syst. Sci. 24, No. 4, 745--756 (1993; Zbl 0775.93305) Full Text: DOI
Styer, Daniel F. Subroutine library for partial differential approximants. (English) Zbl 0875.41003 Comput. Phys. Commun. 61, No. 3, 374-386 (1990). MSC: 41-04 41A21 PDFBibTeX XMLCite \textit{D. F. Styer}, Comput. Phys. Commun. 61, No. 3, 374--386 (1990; Zbl 0875.41003) Full Text: DOI
Weniger, Ernst Joachim; Cížek, Jiří Rational approximations for the modified Bessel function of the second kind. (English) Zbl 0875.65036 Comput. Phys. Commun. 59, No. 3, 471-493 (1990). MSC: 65D20 33C10 41A21 PDFBibTeX XMLCite \textit{E. J. Weniger} and \textit{J. Cížek}, Comput. Phys. Commun. 59, No. 3, 471--493 (1990; Zbl 0875.65036) Full Text: DOI
Filozof, L. I. Application of the \(A\)-method to the investigation of Pade approximants of elementary functions. (English) Zbl 0709.41540 Proc. Steklov Inst. Math. 180, 266-268 (1989). MSC: 41A21 PDFBibTeX XMLCite \textit{L. I. Filozof}, Proc. Steklov Inst. Math. 180, 266--268 (1989; Zbl 0709.41540)
Stolyarchuk, V. K. On the question of Pade approximation of some special functions. (English) Zbl 0709.41534 Proc. Steklov Inst. Math. 180, 214-243 (1989). MSC: 41A21 33C10 PDFBibTeX XMLCite \textit{V. K. Stolyarchuk}, Proc. Steklov Inst. Math. 180, 214--243 (1989; Zbl 0709.41534)
Andrianov, I. V.; Ivankov, A. O. Solution of mixed problems of the plate bending theory by a modified method of perturbation of the form of boundary conditions. (Russian. English summary) Zbl 0632.73012 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1988, No. 1, 33-36 (1988). MSC: 74B99 74H99 74K20 41A21 PDFBibTeX XMLCite \textit{I. V. Andrianov} and \textit{A. O. Ivankov}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1988, No. 1, 33--36 (1988; Zbl 0632.73012)
Richert, Waldemar On the thermodynamics of the electron fluid, hydrogen and hydrogenlike plasmas. (English) Zbl 0607.76126 Wiss. Z. Humboldt-Univ. Berlin, Math.-Naturwiss. Reihe 35, 470-480 (1986). MSC: 76X05 76M99 PDFBibTeX XMLCite \textit{W. Richert}, Wiss. Z. Humboldt-Univ. Berlin, Math.-Naturw. R. 35, 470--480 (1986; Zbl 0607.76126)
Paraskevopoulos, P. N. Techniques in model reduction for large-scale systems. (English) Zbl 0850.93054 Decentralized/distributed control and dynamic systems, Pt. 2, Control Dyn. Syst., Adv. Theory Appl. 23, 165-193 (1986). MSC: 93A15 93B15 41A20 41A21 PDFBibTeX XMLCite \textit{P. N. Paraskevopoulos}, in: Decentralized/distributed control and dynamic systems, Pt. 2, Control Dyn. Syst., Adv. Theory Appl. 23, . 165--193 (1986; Zbl 0850.93054)
Şenel, Musa; Yildiz, Ramazan Historical development of continued fractions and the Padé approximation. (Turkish. English summary) Zbl 0612.41002 Fen Fak. Derg. 1985, 467-475 (1985). MSC: 41-03 41A21 11A55 PDFBibTeX XMLCite \textit{M. Şenel} and \textit{R. Yildiz}, Fen Fak. Derg. 1985, 467--475 (1985; Zbl 0612.41002)
Wallin, Hans Convergence of multipoint Padé approximants with a fixed number of poles. (English) Zbl 0635.41016 Skr., K. Nor. Vidensk. Selsk. 1983, No. 1, 151-158 (1983). MSC: 41A21 41A63 41A05 41A10 PDFBibTeX XMLCite \textit{H. Wallin}, Skr., K. Nor. Vidensk. Selsk. 1983, No. 1, 151--158 (1983; Zbl 0635.41016)
Nørsett, Syvert P. Acceptability of rational approximations to \(\exp(z)\); a survey. (English) Zbl 0628.41016 Skr., K. Nor. Vidensk. Selsk. 1983, No. 1, 92-108 (1983). MSC: 41A20 41A21 PDFBibTeX XMLCite \textit{S. P. Nørsett}, Skr., K. Nor. Vidensk. Selsk. 1983, No. 1, 92--108 (1983; Zbl 0628.41016)