Shirazian, Mohammad An iterative Legendre pseudospectral method for suboptimal control of nonlinear control affine systems. (English) Zbl 07758725 Math. Commun. 28, No. 1, 153-169 (2023). MSC: 49M05 65K10 PDFBibTeX XMLCite \textit{M. Shirazian}, Math. Commun. 28, No. 1, 153--169 (2023; Zbl 07758725) Full Text: Link
Hoseini, Sayyed Mohammad Approximate solution of nonlinear optimal control problems with scale delay function via a composite pseudospectral approach. (English) Zbl 1521.49019 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 54, No. 11, 2407-2422 (2023). MSC: 49K10 PDFBibTeX XMLCite \textit{S. M. Hoseini}, Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 54, No. 11, 2407--2422 (2023; Zbl 1521.49019) Full Text: DOI
Abdelhakem, Mohamed; Abdelhamied, Dina; Alshehri, Maryam G.; El-Kady, Mamdouh Shifted Legendre fractional pseudospectral differentiation matrices for solving fractional differential problems. (English) Zbl 07490674 Fractals 30, No. 1, Article ID 2240038, 13 p. (2022). MSC: 65Lxx 26Axx 34Axx PDFBibTeX XMLCite \textit{M. Abdelhakem} et al., Fractals 30, No. 1, Article ID 2240038, 13 p. (2022; Zbl 07490674) Full Text: DOI
Jafari, H.; Mahmoudi, M.; Noori Skandari, M. H. A new numerical method to solve pantograph delay differential equations with convergence analysis. (English) Zbl 1494.65050 Adv. Difference Equ. 2021, Paper No. 129, 12 p. (2021). MSC: 65L03 65L60 65L20 PDFBibTeX XMLCite \textit{H. Jafari} et al., Adv. Difference Equ. 2021, Paper No. 129, 12 p. (2021; Zbl 1494.65050) Full Text: DOI
Alici, Haydar The Laguerre pseudospectral method for the two-dimensional Schrödinger equation with symmetric nonseparable potentials. (English) Zbl 1488.65198 Hacet. J. Math. Stat. 49, No. 2, 539-552 (2020). MSC: 65L60 81Q05 65L15 34L40 42C10 PDFBibTeX XMLCite \textit{H. Alici}, Hacet. J. Math. Stat. 49, No. 2, 539--552 (2020; Zbl 1488.65198) Full Text: DOI
Yang, Yin; Skandari, M. H. Noori Pseudospectral method for fractional infinite horizon optimal control problems. (English) Zbl 1468.49033 Optim. Control Appl. Methods 41, No. 6, 2201-2212 (2020). MSC: 49M37 90C30 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{M. H. N. Skandari}, Optim. Control Appl. Methods 41, No. 6, 2201--2212 (2020; Zbl 1468.49033) Full Text: DOI
Mahmoudi, M.; Ghovatmand, M.; Jafari, H. An adaptive collocation method for solving delay fractional differential equations. (English) Zbl 1461.65221 Int. J. Appl. Comput. Math. 5, No. 6, Paper No. 157, 13 p. (2019). MSC: 65L60 34K37 PDFBibTeX XMLCite \textit{M. Mahmoudi} et al., Int. J. Appl. Comput. Math. 5, No. 6, Paper No. 157, 13 p. (2019; Zbl 1461.65221) Full Text: DOI
Sun, Tao; Wang, Tian-Jun Multi-domain decomposition pseudospectral method for nonlinear Fokker-Planck equations. (English) Zbl 1449.65279 Commun. Appl. Math. Comput. 1, No. 2, 231-252 (2019). MSC: 65M70 41A30 35K55 35Q84 PDFBibTeX XMLCite \textit{T. Sun} and \textit{T.-J. Wang}, Commun. Appl. Math. Comput. 1, No. 2, 231--252 (2019; Zbl 1449.65279) Full Text: DOI
Foroozandeh, Z.; de Pinho, Maria do Rosário; Shamsi, M. On numerical methods for singular optimal control problems: an application to an AUV problem. (English) Zbl 1419.49039 Discrete Contin. Dyn. Syst., Ser. B 24, No. 5, 2219-2235 (2019). MSC: 49M37 49J30 65K05 PDFBibTeX XMLCite \textit{Z. Foroozandeh} et al., Discrete Contin. Dyn. Syst., Ser. B 24, No. 5, 2219--2235 (2019; Zbl 1419.49039) Full Text: DOI
Foroozandeh, Z.; Shamsi, M.; de Pinho, M. d. R. A mixed-binary non-linear programming approach for the numerical solution of a family of singular optimal control problems. (English) Zbl 1418.49033 Int. J. Control 92, No. 7, 1551-1566 (2019). MSC: 49M25 90C30 PDFBibTeX XMLCite \textit{Z. Foroozandeh} et al., Int. J. Control 92, No. 7, 1551--1566 (2019; Zbl 1418.49033) Full Text: DOI Link
Skandari, Mohammad Hadi Noori; Nazemi, Alireza A new approach to design asymptotically stabilizing control and adaptive control. (English) Zbl 1405.93199 Optim. Control Appl. Methods 39, No. 6, 1952-1964 (2018). MSC: 93D21 93D20 93C40 93C10 93B51 49N90 PDFBibTeX XMLCite \textit{M. H. N. Skandari} and \textit{A. Nazemi}, Optim. Control Appl. Methods 39, No. 6, 1952--1964 (2018; Zbl 1405.93199) Full Text: DOI
Hosseinpour, Soleiman; Nazemi, Alireza; Tohidi, Emran A new approach for solving a class of delay fractional partial differential equations. (English) Zbl 1407.65214 Mediterr. J. Math. 15, No. 6, Paper No. 218, 20 p. (2018). MSC: 65M70 35R11 44A10 42C10 65D32 33C45 PDFBibTeX XMLCite \textit{S. Hosseinpour} et al., Mediterr. J. Math. 15, No. 6, Paper No. 218, 20 p. (2018; Zbl 1407.65214) Full Text: DOI
Ge, Xinsheng; Yao, Qijia; Chen, Liqun Control strategy of optimal deployment for spacecraft solar array system with initial state uncertainty. (English) Zbl 1402.70026 AMM, Appl. Math. Mech., Engl. Ed. 39, No. 10, 1437-1452 (2018). MSC: 70Q05 37N35 PDFBibTeX XMLCite \textit{X. Ge} et al., AMM, Appl. Math. Mech., Engl. Ed. 39, No. 10, 1437--1452 (2018; Zbl 1402.70026) Full Text: DOI
Parand, Kourosh; Mirahmadian, Fatemeh; Delkhosh, Mehdi The pseudospectral Legendre method for solving the HIV infection model of \(CD4^+T\) cells. (English) Zbl 1391.92052 Nonlinear Stud. 25, No. 1, 241-250 (2018). MSC: 92D30 92C60 42C10 92-08 41A10 PDFBibTeX XMLCite \textit{K. Parand} et al., Nonlinear Stud. 25, No. 1, 241--250 (2018; Zbl 1391.92052) Full Text: Link
Tabrizidooz, Hamid Reza; Pourbabaee, Marzieh; Hedayati, Mehrnoosh Optimal control of switched systems by a modified pseudo spectral method. (English) Zbl 1406.93149 Iran. J. Math. Chem. 8, No. 2, 161-173 (2017). MSC: 93C30 93C15 49N90 90C30 PDFBibTeX XMLCite \textit{H. R. Tabrizidooz} et al., Iran. J. Math. Chem. 8, No. 2, 161--173 (2017; Zbl 1406.93149) Full Text: DOI
Cui, Na; Huang, Wei A second order accurate mixed Chebyshev-Legendre-spherical harmonic pseudospectral method for Allen-Cahn equation. (Chinese. English summary) Zbl 1399.65347 Commun. Appl. Math. Comput. 31, No. 4, 454-461 (2017). MSC: 65N35 65M06 41A05 42A15 PDFBibTeX XMLCite \textit{N. Cui} and \textit{W. Huang}, Commun. Appl. Math. Comput. 31, No. 4, 454--461 (2017; Zbl 1399.65347) Full Text: DOI
Miri, S. Mohsen; Effati, Sohrab Optimal control formulation for complementarity dynamical systems. (English) Zbl 1409.90204 J. Optim. Theory Appl. 175, No. 2, 356-372 (2017). MSC: 90C33 49M37 90C30 PDFBibTeX XMLCite \textit{S. M. Miri} and \textit{S. Effati}, J. Optim. Theory Appl. 175, No. 2, 356--372 (2017; Zbl 1409.90204) Full Text: DOI
Foroozandeh, Zahra; Shamsi, Mostafa; Azhmyakov, Vadim; Shafiee, Masoud A modified pseudospectral method for solving trajectory optimization problems with singular arc. (English) Zbl 1362.49019 Math. Methods Appl. Sci. 40, No. 5, 1783-1793 (2017). MSC: 49M37 49K15 49J30 74S25 90C30 PDFBibTeX XMLCite \textit{Z. Foroozandeh} et al., Math. Methods Appl. Sci. 40, No. 5, 1783--1793 (2017; Zbl 1362.49019) Full Text: DOI
Wang, Tian-Jun; Sun, Tao Mixed pseudospectral method for heat transfer. (English) Zbl 1488.65522 Math. Model. Anal. 21, No. 2, 199-219 (2016). MSC: 65M70 35K05 35K20 35R15 41A30 35Q79 PDFBibTeX XMLCite \textit{T.-J. Wang} and \textit{T. Sun}, Math. Model. Anal. 21, No. 2, 199--219 (2016; Zbl 1488.65522) Full Text: DOI
Guo, Benyu; Jia, Hongli A new pseudospectral method on quadrilaterals. (English) Zbl 1374.65199 J. Comput. Math. 34, No. 4, 365-384 (2016). MSC: 65N35 35J25 PDFBibTeX XMLCite \textit{B. Guo} and \textit{H. Jia}, J. Comput. Math. 34, No. 4, 365--384 (2016; Zbl 1374.65199) Full Text: DOI Link
Chen, Siyi; Ma, Heping Wiener expansion-spectral methods for stochastic partial differential equations with white noise. (Chinese. English summary) Zbl 1374.65003 Commun. Appl. Math. Comput. 30, No. 4, 508-519 (2016). MSC: 65C30 60H15 60H35 35R60 65M70 65M06 PDFBibTeX XMLCite \textit{S. Chen} and \textit{H. Ma}, Commun. Appl. Math. Comput. 30, No. 4, 508--519 (2016; Zbl 1374.65003) Full Text: DOI
Mehrpouya, Mohammad Ali An efficient pseudospectral method for numerical solution of nonlinear singular initial and boundary value problems arising in astrophysics. (English) Zbl 1343.65086 Math. Methods Appl. Sci. 39, No. 12, 3204-3214 (2016). MSC: 65L05 34B16 65M70 34K28 85-08 PDFBibTeX XMLCite \textit{M. A. Mehrpouya}, Math. Methods Appl. Sci. 39, No. 12, 3204--3214 (2016; Zbl 1343.65086) Full Text: DOI
Dehghan, Mehdi; Shahini, Mehdi Rational pseudospectral approximation to the solution of a nonlinear integro-differential equation arising in modeling of the population growth. (English) Zbl 1443.92005 Appl. Math. Modelling 39, No. 18, 5521-5530 (2015). MSC: 92-08 65L60 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Shahini}, Appl. Math. Modelling 39, No. 18, 5521--5530 (2015; Zbl 1443.92005) Full Text: DOI
Mehrpouya, M. A.; Shamsi, M. Gauss pseudospectral and continuation methods for solving two-point boundary value problems in optimal control theory. (English) Zbl 1443.65108 Appl. Math. Modelling 39, No. 17, 5047-5057 (2015); retraction notice ibid. 121, 865 (2023). MSC: 65L60 65L10 49M25 PDFBibTeX XMLCite \textit{M. A. Mehrpouya} and \textit{M. Shamsi}, Appl. Math. Modelling 39, No. 17, 5047--5057 (2015; Zbl 1443.65108) Full Text: DOI
Maleki, Mohammad; Tavassoli Kajani, Majid Numerical approximations for Volterra’s population growth model with fractional order via a multi-domain pseudospectral method. (English) Zbl 1443.65442 Appl. Math. Modelling 39, No. 15, 4300-4308 (2015). MSC: 65R20 34K37 45J05 92D25 PDFBibTeX XMLCite \textit{M. Maleki} and \textit{M. Tavassoli Kajani}, Appl. Math. Modelling 39, No. 15, 4300--4308 (2015; Zbl 1443.65442) Full Text: DOI
Sun, Tao; Liu, Fujun; Zhang, Qin Legendre rational pseudospectral method for Black-Scholes equation. (Chinese. English summary) Zbl 1374.91138 J. Henan Univ., Nat. Sci. 45, No. 6, 640-645 (2015). MSC: 91G60 65M70 65M12 PDFBibTeX XMLCite \textit{T. Sun} et al., J. Henan Univ., Nat. Sci. 45, No. 6, 640--645 (2015; Zbl 1374.91138) Full Text: DOI
Li, Yu-Wen; Wu, Xinyuan General local energy-preserving integrators for solving multi-symplectic Hamiltonian PDEs. (English) Zbl 1349.65518 J. Comput. Phys. 301, 141-166 (2015). MSC: 65M70 65P10 PDFBibTeX XMLCite \textit{Y.-W. Li} and \textit{X. Wu}, J. Comput. Phys. 301, 141--166 (2015; Zbl 1349.65518) Full Text: DOI arXiv
Saadatmandi, Abbas; Mashhadi-Fini, Fateme A pseudospectral method for nonlinear Duffing equation involving both integral and non-integral forcing terms. (English) Zbl 1317.65259 Math. Methods Appl. Sci. 38, No. 7, 1265-1272 (2015). MSC: 65R20 45J05 45G10 PDFBibTeX XMLCite \textit{A. Saadatmandi} and \textit{F. Mashhadi-Fini}, Math. Methods Appl. Sci. 38, No. 7, 1265--1272 (2015; Zbl 1317.65259) Full Text: DOI
Maleki, Mohammad; Hashim, Ishak; Abbasbandy, Saeid; Alsaedi, A. Direct solution of a type of constrained fractional variational problems via an adaptive pseudospectral method. (English) Zbl 1311.65087 J. Comput. Appl. Math. 283, 41-57 (2015). MSC: 65K10 49J15 49M37 PDFBibTeX XMLCite \textit{M. Maleki} et al., J. Comput. Appl. Math. 283, 41--57 (2015; Zbl 1311.65087) Full Text: DOI
Maleki, Mohammad; Hashim, Ishak Adaptive pseudospectral methods for solving constrained linear and nonlinear time-delay optimal control problems. (English) Zbl 1293.49086 J. Franklin Inst. 351, No. 2, 811-839 (2014). MSC: 49N10 49M30 90C20 PDFBibTeX XMLCite \textit{M. Maleki} and \textit{I. Hashim}, J. Franklin Inst. 351, No. 2, 811--839 (2014; Zbl 1293.49086) Full Text: DOI
Tohidi, Emran; Noghabi, Somayyeh Lotfi An efficient Legendre pseudospectral method for solving nonlinear quasi bang-bang optimal control problems. (English) Zbl 1277.65104 J. Appl. Math. Stat. Inform. 8, No. 2, 73-85 (2012). MSC: 65N35 49J15 90C30 93C05 49M25 90C05 PDFBibTeX XMLCite \textit{E. Tohidi} and \textit{S. L. Noghabi}, J. Appl. Math. Stat. Inform. 8, No. 2, 73--85 (2012; Zbl 1277.65104) Full Text: DOI
Salehi, Rezvan; Dehghan, Mehdi The use of a Legendre pseudospectral viscosity technique to solve a class of nonlinear dynamic Hamilton-Jacobi equations. (English) Zbl 1238.65100 Comput. Math. Appl. 63, No. 3, 629-644 (2012). MSC: 65M70 PDFBibTeX XMLCite \textit{R. Salehi} and \textit{M. Dehghan}, Comput. Math. Appl. 63, No. 3, 629--644 (2012; Zbl 1238.65100) Full Text: DOI
Shamsi, M.; Dehghan, Mehdi Determination of a control function in three-dimensional parabolic equations by Legendre pseudospectral method. (English) Zbl 1252.65161 Numer. Methods Partial Differ. Equations 28, No. 1, 74-93 (2012). MSC: 65M32 35K20 35R30 65M70 PDFBibTeX XMLCite \textit{M. Shamsi} and \textit{M. Dehghan}, Numer. Methods Partial Differ. Equations 28, No. 1, 74--93 (2012; Zbl 1252.65161) Full Text: DOI
Shamsi, M. A modified pseudospectral scheme for accurate solution of Bang-Bang optimal control problems. (English) Zbl 1272.49065 Optim. Control Appl. Methods 32, No. 6, 668-680 (2011). MSC: 49M30 49J30 PDFBibTeX XMLCite \textit{M. Shamsi}, Optim. Control Appl. Methods 32, No. 6, 668--680 (2011; Zbl 1272.49065) Full Text: DOI
Guo, Ben-Yu; Jia, Hong-Li Pseudospectral method for quadrilaterals. (English) Zbl 1232.65155 J. Comput. Appl. Math. 236, No. 5, 962-979 (2011). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N35 65N15 35J05 PDFBibTeX XMLCite \textit{B.-Y. Guo} and \textit{H.-L. Jia}, J. Comput. Appl. Math. 236, No. 5, 962--979 (2011; Zbl 1232.65155) Full Text: DOI
Basset, G.; Xu, Y.; Yakimenko, O. A. Computing short-time aircraft maneuvers using direct methods. (English. Russian original) Zbl 1267.93118 J. Comput. Syst. Sci. Int. 49, No. 3, 481-513 (2010); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2010, No. 3, 145-176 (2010). MSC: 93C85 49M30 49K15 93B60 PDFBibTeX XMLCite \textit{G. Basset} et al., J. Comput. Syst. Sci. Int. 49, No. 3, 481--513 (2010; Zbl 1267.93118); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2010, No. 3, 145--176 (2010) Full Text: DOI
Hrycak, Tomasz; Gröchenig, Karlheinz Pseudospectral Fourier reconstruction with the modified inverse polynomial reconstruction method. (English) Zbl 1184.65123 J. Comput. Phys. 229, No. 3, 933-946 (2010). Reviewer: Manfred Tasche (Rostock) MSC: 65T40 65F20 65D10 42C10 PDFBibTeX XMLCite \textit{T. Hrycak} and \textit{K. Gröchenig}, J. Comput. Phys. 229, No. 3, 933--946 (2010; Zbl 1184.65123) Full Text: DOI
Wang, Tian-Jun; Guo, Ben-Yu Composite Laguerre-Legendre pseudospectral method for exterior problems. (English) Zbl 1364.65266 Commun. Comput. Phys. 5, No. 2-4, 350-375 (2009). MSC: 65N35 PDFBibTeX XMLCite \textit{T.-J. Wang} and \textit{B.-Y. Guo}, Commun. Comput. Phys. 5, No. 2--4, 350--375 (2009; Zbl 1364.65266)
Zhang, Wen A numerical method for solving nonsmooth optimal control problems. (Chinese. English summary) Zbl 1199.65221 Appl. Math., Ser. A (Chin. Ed.) 24, No. 2, 207-220 (2009). MSC: 65K10 49J20 49M25 PDFBibTeX XMLCite \textit{W. Zhang}, Appl. Math., Ser. A (Chin. Ed.) 24, No. 2, 207--220 (2009; Zbl 1199.65221)
Zhang, Wen; Ma, Heping The Chebyshev-Legendre pseudospectral method for solving the linear-quadratic optimal control problems. (Chinese. English summary) Zbl 1199.65222 J. Numer. Methods Comput. Appl. 30, No. 2, 100-112 (2009). MSC: 65K10 49N10 49M37 PDFBibTeX XMLCite \textit{W. Zhang} and \textit{H. Ma}, J. Numer. Methods Comput. Appl. 30, No. 2, 100--112 (2009; Zbl 1199.65222)
Kang, Wei; Ross, I. Michael; Gong, Qi Pseudospectral optimal control and its convergence theorems. (English) Zbl 1189.49054 Astolfi, Alessandro (ed.) et al., Analysis and design of nonlinear control systems. In honor of Alberto Isidori. Berlin: Springer (ISBN 978-3-540-74357-6/hbk). 109-124 (2008). MSC: 49N35 93B52 49M30 PDFBibTeX XMLCite \textit{W. Kang} et al., in: Analysis and design of nonlinear control systems. In honor of Alberto Isidori. Berlin: Springer. 109--124 (2008; Zbl 1189.49054) Full Text: DOI
Shakeri, Fatemeh; Dehghan, Mehdi Solution of a model describing biological species living together using the variational iteration method. (English) Zbl 1156.92332 Math. Comput. Modelling 48, No. 5-6, 685-699 (2008). MSC: 92D40 45J05 PDFBibTeX XMLCite \textit{F. Shakeri} and \textit{M. Dehghan}, Math. Comput. Modelling 48, No. 5--6, 685--699 (2008; Zbl 1156.92332) Full Text: DOI
Wang, Tian-Jun; Guo, Ben-Yu Composite generalized Laguerre-Legendre pseudospectral method for Fokker-Planck equation in an infinite channel. (English) Zbl 1151.65077 Appl. Numer. Math. 58, No. 10, 1448-1466 (2008). MSC: 65M70 82C31 35K15 35L15 65M12 PDFBibTeX XMLCite \textit{T.-J. Wang} and \textit{B.-Y. Guo}, Appl. Numer. Math. 58, No. 10, 1448--1466 (2008; Zbl 1151.65077) Full Text: DOI
Zhang, Weibin The Legendre pseudospectral method for generalized Ginzburg-Landau equation. (Chinese. English summary) Zbl 1150.65428 J. Ningxia Univ., Nat. Sci. Ed. 28, No. 3, 221-225 (2007). MSC: 65M70 65M15 65M20 PDFBibTeX XMLCite \textit{W. Zhang}, J. Ningxia Univ., Nat. Sci. Ed. 28, No. 3, 221--225 (2007; Zbl 1150.65428)
Lin, Wenbin; Kovvali, Narayan; Carin, Lawrence Pseudospectral method based on prolate spheroidal wave functions for semiconductor nanodevice simulation. (English) Zbl 1196.81068 Comput. Phys. Commun. 175, No. 2, 78-85 (2006). MSC: 81-08 81Q05 PDFBibTeX XMLCite \textit{W. Lin} et al., Comput. Phys. Commun. 175, No. 2, 78--85 (2006; Zbl 1196.81068) Full Text: DOI
Guo, Ben-Yu; Wang, Li-Lian Modified Laguerre pseudospectral method refined by multidomain Legendre pseudospectral approximation. (English) Zbl 1087.65079 J. Comput. Appl. Math. 190, No. 1-2, 304-324 (2006). Reviewer: Kai Diethelm (Braunschweig) MSC: 65L60 65L10 34B05 PDFBibTeX XMLCite \textit{B.-Y. Guo} and \textit{L.-L. Wang}, J. Comput. Appl. Math. 190, No. 1--2, 304--324 (2006; Zbl 1087.65079) Full Text: DOI
Wang, Tian-jun; Guo, Ben-yu Mixed Legendre-Hermite pseudospectral method for heat transfer in an infinite plate. (English) Zbl 1086.65099 J. Comput. Math. 23, No. 6, 587-602 (2005). Reviewer: Jiří Vaníček (Praha) MSC: 65M70 35K05 65M12 PDFBibTeX XMLCite \textit{T.-j. Wang} and \textit{B.-y. Guo}, J. Comput. Math. 23, No. 6, 587--602 (2005; Zbl 1086.65099)
Kondaxakis, D.; Tsangaris, S. Pseudospectral solution of linear evolution equations of second order in space and time on unstructured quadrilateral subdomain topologies. (English) Zbl 1061.65101 J. Comput. Phys. 202, No. 2, 533-576 (2005). MSC: 65M70 35L15 65M55 PDFBibTeX XMLCite \textit{D. Kondaxakis} and \textit{S. Tsangaris}, J. Comput. Phys. 202, No. 2, 533--576 (2005; Zbl 1061.65101) Full Text: DOI
Boyd, John P. Prolate spheroidal wavefunctions as an alternative to Chebyshev and Legendre polynomials for spectral element and pseudospectral algorithms. (English) Zbl 1059.65024 J. Comput. Phys. 199, No. 2, 688-716 (2004). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65D20 65N35 33C55 33E10 33F05 PDFBibTeX XMLCite \textit{J. P. Boyd}, J. Comput. Phys. 199, No. 2, 688--716 (2004; Zbl 1059.65024) Full Text: DOI
Ma, Heping; Sun, Weiwei Optimal error estimates of the Legendre-Petrov-Galerkin method for the Korteweg-de Vries equation. (English) Zbl 1008.65070 SIAM J. Numer. Anal. 39, No. 4, 1380-1394 (2001). Reviewer: Laura-Iulia Aniţa (Iaşi) MSC: 65M15 65M20 65M70 65M60 35Q53 PDFBibTeX XMLCite \textit{H. Ma} and \textit{W. Sun}, SIAM J. Numer. Anal. 39, No. 4, 1380--1394 (2001; Zbl 1008.65070) Full Text: DOI
Guo, Benyu; Shen, Jie; Wang, Zhongqing A rational approximation and its applications to differential equations on the half line. (English) Zbl 0984.65104 J. Sci. Comput. 15, No. 2, 117-147 (2000). Reviewer: F.Pérez Acosta (La Laguna) MSC: 65M70 41A20 34B05 35K05 65L60 65D05 PDFBibTeX XMLCite \textit{B. Guo} et al., J. Sci. Comput. 15, No. 2, 117--147 (2000; Zbl 0984.65104) Full Text: DOI
Huang, Weizhang; Tang, Tao Pseudospectral solutions for steady motion of a viscous fluid inside a circular boundary. (English) Zbl 0994.76074 Appl. Numer. Math. 33, No. 1-4, 167-173 (2000). MSC: 76M22 76M20 76D05 PDFBibTeX XMLCite \textit{W. Huang} and \textit{T. Tang}, Appl. Numer. Math. 33, No. 1--4, 167--173 (2000; Zbl 0994.76074) Full Text: DOI
Spotz, William F.; Taylor, Mark A.; Swarztrauber, Paul N. Fast shallow-water equation solvers in latitude-longitude coordinates. (English) Zbl 0928.76078 J. Comput. Phys. 145, No. 1, 432-444 (1998). MSC: 76M22 76B15 76U05 65M70 PDFBibTeX XMLCite \textit{W. F. Spotz} et al., J. Comput. Phys. 145, No. 1, 432--444 (1998; Zbl 0928.76078) Full Text: DOI
Elnagar, Gamal N. Optimal control computation for integro-differential aerodynamic equations. (English) Zbl 0906.49019 Math. Methods Appl. Sci. 21, No. 7, 653-664 (1998). MSC: 49N99 45J05 65K05 PDFBibTeX XMLCite \textit{G. N. Elnagar}, Math. Methods Appl. Sci. 21, No. 7, 653--664 (1998; Zbl 0906.49019) Full Text: DOI
Elnagar, Gamal N.; Kazemi, Mohammad A. Pseudospectral Legendre-based optimal computation of nonlinear constrained variational problems. (English) Zbl 0898.65032 J. Comput. Appl. Math. 88, No. 2, 363-375 (1998). Reviewer: H.Benker (Merseburg) MSC: 65K10 49J15 49M15 PDFBibTeX XMLCite \textit{G. N. Elnagar} and \textit{M. A. Kazemi}, J. Comput. Appl. Math. 88, No. 2, 363--375 (1998; Zbl 0898.65032) Full Text: DOI
Xiao, Ziliang; Shih, Tsimin A Legendre pseudospectral method for a PDE model for the dynamics of infectious diseases. (English) Zbl 0884.65099 Numer. Methods Partial Differ. Equations 13, No. 4, 417-432 (1997). Reviewer: G.Stoyan (Budapest) MSC: 65M70 65M12 65M15 92D30 35L60 PDFBibTeX XMLCite \textit{Z. Xiao} and \textit{T. Shih}, Numer. Methods Partial Differ. Equations 13, No. 4, 417--432 (1997; Zbl 0884.65099) Full Text: DOI
Elnagar, Gamal N.; Kazemi, Mohammad A. Numerical solvability of nonlinear problems of the calculus of variations. (English) Zbl 0855.49023 Numer. Funct. Anal. Optimization 17, No. 5-6, 563-575 (1996). MSC: 49M37 PDFBibTeX XMLCite \textit{G. N. Elnagar} and \textit{M. A. Kazemi}, Numer. Funct. Anal. Optim. 17, No. 5--6, 563--575 (1996; Zbl 0855.49023) Full Text: DOI
Elnagar, Gamal; Kazemi, Mohammad A.; Razzaghi, Mohsen The pseudospectral Legendre method for discretizing optimal control problems. (English) Zbl 0863.49016 IEEE Trans. Autom. Control 40, No. 10, 1793-1796 (1995). MSC: 49M25 65L60 65K10 PDFBibTeX XMLCite \textit{G. Elnagar} et al., IEEE Trans. Autom. Control 40, No. 10, 1793--1796 (1995; Zbl 0863.49016) Full Text: DOI
Razzaghi, Mohsen; Elnagar, Gamal Numerical solution of the controlled Duffing oscillator by the pseudospectral method. (English) Zbl 0827.65074 J. Comput. Appl. Math. 56, No. 3, 253-261 (1994). Reviewer: M.Gousidou-Koutita (Thessaloniki) MSC: 65K10 93C15 PDFBibTeX XMLCite \textit{M. Razzaghi} and \textit{G. Elnagar}, J. Comput. Appl. Math. 56, No. 3, 253--261 (1994; Zbl 0827.65074) Full Text: DOI
Welfert, Bruno D. On the eigenvalues of second-order pseudospectral differentiation operators. (English) Zbl 0824.65083 Comput. Methods Appl. Mech. Eng. 116, 281-292 (1994). Reviewer: M.Bartušek (Brno) MSC: 65L60 34B05 65L15 34L15 PDFBibTeX XMLCite \textit{B. D. Welfert}, Comput. Methods Appl. Mech. Eng. 116, No. 1--4, 281--292 (1994; Zbl 0824.65083) Full Text: DOI
Boyd, John P. Multipole expansions and pseudospectral cardinal functions: A new generalization of the fast Fourier transform. (English) Zbl 0765.65022 J. Comput. Phys. 103, No. 1, 184-186 (1992). Reviewer: M.Tasche (Rostock) MSC: 65D20 65T40 PDFBibTeX XMLCite \textit{J. P. Boyd}, J. Comput. Phys. 103, No. 1, 184--186 (1992; Zbl 0765.65022) Full Text: DOI
Phillips, Timothy N. Pseudospectral domain decomposition techniques for the Navier-Stokes equations. (English) Zbl 0767.76053 Domain decomposition methods for partial differential equations, Proc. 5th Int. SIAM Symp., Norfolk/VA (USA) 1991, 531-540 (1992). MSC: 76M25 76D05 65N35 65N55 PDFBibTeX XMLCite \textit{T. N. Phillips}, in: Fifth international SIAM symposium on domain decomposition methods for partial differential equations, held in Norfolk, Virginia, USA, May 6-8, 1991. Philadelphia, PA: SIAM. 531--540 (1992; Zbl 0767.76053)
Funaro, Daniele; Gottlieb, David Convergence results for pseudospectral approximations of hyperbolic systems by a penalty-type boundary treatment. (English) Zbl 0736.65074 Math. Comput. 57, No. 196, 585-596 (1991). Reviewer: W.Heinrichs (Düsseldorf) MSC: 65M70 65M15 35L45 PDFBibTeX XMLCite \textit{D. Funaro} and \textit{D. Gottlieb}, Math. Comput. 57, No. 196, 585--596 (1991; Zbl 0736.65074) Full Text: DOI
Canuto, C.; Quarteroni, A. Error estimates for spectral and pseudospectral approximations of hyperbolic equations. (English) Zbl 0508.65054 SIAM J. Numer. Anal. 19, 629-642 (1982). MSC: 65N35 65N30 65N15 35L65 PDFBibTeX XMLCite \textit{C. Canuto} and \textit{A. Quarteroni}, SIAM J. Numer. Anal. 19, 629--642 (1982; Zbl 0508.65054) Full Text: DOI