Usman, Muhammad; Hamid, Muhammad; Ul Haq, Rizwan; Liu, Moubin Linearized novel operational matrices-based scheme for classes of nonlinear time-space fractional unsteady problems in 2D. (English) Zbl 07311196 Appl. Numer. Math. 162, 351-373 (2021). MSC: 65 35R11 44A 33C45 65T60 PDF BibTeX XML Cite \textit{M. Usman} et al., Appl. Numer. Math. 162, 351--373 (2021; Zbl 07311196) Full Text: DOI
Soltanpour, Moghadam A.; Arabameri, M.; Barfeie, M. Andbaleanu D. Numerical solution of space-time variable fractional order advection-dispersion equation using Jacobi spectral collocation method. (English) Zbl 1455.65195 Malays. J. Math. Sci. 14, No. 1, 139-168 (2020). MSC: 65M70 35R11 PDF BibTeX XML Cite \textit{M. A. Soltanpour} et al., Malays. J. Math. Sci. 14, No. 1, 139--168 (2020; Zbl 1455.65195) Full Text: Link
Awonusika, Richard Olu Explicit descriptions of spectral properties of Laplacians on spheres \(\mathbb{S}^N\) \((N\ge 1)\): a review. (English) Zbl 1452.58002 São Paulo J. Math. Sci. 14, No. 2, 714-755 (2020). MSC: 58J50 33C45 35A08 35C05 35C10 35C15 58J35 58J52 PDF BibTeX XML Cite \textit{R. O. Awonusika}, São Paulo J. Math. Sci. 14, No. 2, 714--755 (2020; Zbl 1452.58002) Full Text: DOI
Tafakkori-Bafghi, Mohammad; Loghmani, Ghasem Barid; Heydari, Mohammad; Bai, Xiaoli Jacobi-Picard iteration method for the numerical solution of nonlinear initial value problems. (English) Zbl 1452.65121 Math. Methods Appl. Sci. 43, No. 3, 1084-1111 (2020). MSC: 65L05 33C45 33F05 65D32 PDF BibTeX XML Cite \textit{M. Tafakkori-Bafghi} et al., Math. Methods Appl. Sci. 43, No. 3, 1084--1111 (2020; Zbl 1452.65121) Full Text: DOI
Maleknejad, Khosrow; Rashidinia, Jalil; Eftekhari, Tahereh Operational matrices based on hybrid functions for solving general nonlinear two-dimensional fractional integro-differential equations. (English) Zbl 07196700 Comput. Appl. Math. 39, No. 2, Paper No. 103, 34 p. (2020). MSC: 65 34 33C45 PDF BibTeX XML Cite \textit{K. Maleknejad} et al., Comput. Appl. Math. 39, No. 2, Paper No. 103, 34 p. (2020; Zbl 07196700) Full Text: DOI
Doha, E. H.; Hafez, R. M.; Youssri, Y. H. Shifted Jacobi spectral-Galerkin method for solving hyperbolic partial differential equations. (English) Zbl 1442.65290 Comput. Math. Appl. 78, No. 3, 889-904 (2019). MSC: 65M70 65M60 35L50 PDF BibTeX XML Cite \textit{E. H. Doha} et al., Comput. Math. Appl. 78, No. 3, 889--904 (2019; Zbl 1442.65290) Full Text: DOI
Doha, Eid H.; Abdelkawy, Mohamed A.; Amin, Ahmed Z. M.; Baleanu, Dumitru Shifted Jacobi spectral collocation method with convergence analysis for solving integro-differential equations and system of integro-differential equations. (English) Zbl 07086704 Nonlinear Anal., Model. Control 24, No. 3, 332-352 (2019). MSC: 65L 35C PDF BibTeX XML Cite \textit{E. H. Doha} et al., Nonlinear Anal., Model. Control 24, No. 3, 332--352 (2019; Zbl 07086704) Full Text: DOI
Sadri, K.; Amini, A.; Cheng, C. A new operational method to solve Abel’s and generalized Abel’s integral equations. (English) Zbl 1426.65218 Appl. Math. Comput. 317, 49-67 (2018). MSC: 65R20 45D05 45E10 45F15 47B36 PDF BibTeX XML Cite \textit{K. Sadri} et al., Appl. Math. Comput. 317, 49--67 (2018; Zbl 1426.65218) Full Text: DOI
Parand, K.; Latifi, S.; Moayeri, M. M. Shifted Lagrangian Jacobi collocation scheme for numerical solution of a model of HIV infection. (English) Zbl 1410.92132 S\(\vec{\text{e}}\)MA J. 75, No. 3, 379-398 (2018). MSC: 92D30 65L60 PDF BibTeX XML Cite \textit{K. Parand} et al., S\(\vec{\text{e}}\)MA J. 75, No. 3, 379--398 (2018; Zbl 1410.92132) Full Text: DOI
Shah, Kamal; Akram, Mohammad Numerical treatment of non-integer order partial differential equations by omitting discretization of data. (English) Zbl 1438.35440 Comput. Appl. Math. 37, No. 5, 6700-6718 (2018). MSC: 35R11 26A33 34A08 35B40 PDF BibTeX XML Cite \textit{K. Shah} and \textit{M. Akram}, Comput. Appl. Math. 37, No. 5, 6700--6718 (2018; Zbl 1438.35440) Full Text: DOI
Han, Wei; Chen, Yi-Ming; Liu, Da-Yan; Li, Xiao-Lin; Boutat, Driss Numerical solution for a class of multi-order fractional differential equations with error correction and convergence analysis. (English) Zbl 1446.65056 Adv. Difference Equ. 2018, Paper No. 253, 22 p. (2018). MSC: 65L60 65L70 34A08 26A33 33C45 PDF BibTeX XML Cite \textit{W. Han} et al., Adv. Difference Equ. 2018, Paper No. 253, 22 p. (2018; Zbl 1446.65056) Full Text: DOI
Doha, E. H.; Abdelkawy, M. A.; Amin, A. Z. M.; Lopes, António M. On spectral methods for solving variable-order fractional integro-differential equations. (English) Zbl 1404.65192 Comput. Appl. Math. 37, No. 3, 3937-3950 (2018). MSC: 65M70 65N35 26A33 35R11 33C45 35R09 45K05 65D32 65D05 65H10 PDF BibTeX XML Cite \textit{E. H. Doha} et al., Comput. Appl. Math. 37, No. 3, 3937--3950 (2018; Zbl 1404.65192) Full Text: DOI
Hafez, R. M.; Youssri, Y. H. Jacobi collocation scheme for variable-order fractional reaction-subdiffusion equation. (English) Zbl 1404.65195 Comput. Appl. Math. 37, No. 4, 5315-5333 (2018). MSC: 65M70 33C45 35R11 35K57 65M12 35K20 PDF BibTeX XML Cite \textit{R. M. Hafez} and \textit{Y. H. Youssri}, Comput. Appl. Math. 37, No. 4, 5315--5333 (2018; Zbl 1404.65195) Full Text: DOI
Sadri, Khadijeh; Ayati, Zainab A new operational approach for solving weakly singular integro-differential equations. (English) Zbl 1400.45009 Hacet. J. Math. Stat. 47, No. 1, 107-127 (2018). MSC: 45J05 45L05 65R20 PDF BibTeX XML Cite \textit{K. Sadri} and \textit{Z. Ayati}, Hacet. J. Math. Stat. 47, No. 1, 107--127 (2018; Zbl 1400.45009) Full Text: DOI
Plešinger, Martin; Pultarová, Ivana On the extreme eigenvalues of certain matrices of non-standard inner products of Hermite polynomials. (English) Zbl 1390.15017 Linear Algebra Appl. 546, 50-66 (2018). MSC: 15A12 15A18 15B57 33C45 PDF BibTeX XML Cite \textit{M. Plešinger} and \textit{I. Pultarová}, Linear Algebra Appl. 546, 50--66 (2018; Zbl 1390.15017) Full Text: DOI
Abdelkawy, Mohamed A.; Amin, Ahmed Z. M.; Bhrawy, Ali H.; Tenreiro Machado, José A.; Lopes, António M. Jacobi collocation approximation for solving multi-dimensional Volterra integral equations. (English) Zbl 1401.65148 Int. J. Nonlinear Sci. Numer. Simul. 18, No. 5, 411-425 (2017). MSC: 65R20 45D05 PDF BibTeX XML Cite \textit{M. A. Abdelkawy} et al., Int. J. Nonlinear Sci. Numer. Simul. 18, No. 5, 411--425 (2017; Zbl 1401.65148) Full Text: DOI
Muthukumar, P.; Priya, B. Ganesh Numerical solution of fractional delay differential equation by shifted Jacobi polynomials. (English) Zbl 1388.34070 Int. J. Comput. Math. 94, No. 3, 471-492 (2017). Reviewer: Xiaosong Tang (Ji’an) MSC: 34K37 33C45 34K28 PDF BibTeX XML Cite \textit{P. Muthukumar} and \textit{B. G. Priya}, Int. J. Comput. Math. 94, No. 3, 471--492 (2017; Zbl 1388.34070) Full Text: DOI
Sadri, K.; Amini, A.; Cheng, C. Low cost numerical solution for three-dimensional linear and nonlinear integral equations via three-dimensional Jacobi polynomials. (English) Zbl 1360.65310 J. Comput. Appl. Math. 319, 493-513 (2017). MSC: 65R20 45A05 45B05 45D05 45G10 PDF BibTeX XML Cite \textit{K. Sadri} et al., J. Comput. Appl. Math. 319, 493--513 (2017; Zbl 1360.65310) Full Text: DOI
Bhrawy, A. H.; Zaky, M. A. Shifted fractional-order Jacobi orthogonal functions: application to a system of fractional differential equations. (English) Zbl 1446.34011 Appl. Math. Modelling 40, No. 2, 832-845 (2016). MSC: 34A08 26A33 33C47 65L60 PDF BibTeX XML Cite \textit{A. H. Bhrawy} and \textit{M. A. Zaky}, Appl. Math. Modelling 40, No. 2, 832--845 (2016; Zbl 1446.34011) Full Text: DOI
Sun, Tao Mixed generalized Jacobi and Chebyshev collocation method for time-fractional convection-diffusion equations. (English) Zbl 1374.65181 J. Math. Res. Appl. 36, No. 5, 608-620 (2016). MSC: 65M70 35K20 35R11 PDF BibTeX XML Cite \textit{T. Sun}, J. Math. Res. Appl. 36, No. 5, 608--620 (2016; Zbl 1374.65181) Full Text: DOI
Borhanifar, Abdollah; Sadri, Khadijeh A generalized operational method for solving integro-partial differential equations based on Jacobi polynomials. (English) Zbl 1354.65274 Hacet. J. Math. Stat. 45, No. 2, 311-335 (2016). MSC: 65R20 45K05 PDF BibTeX XML Cite \textit{A. Borhanifar} and \textit{K. Sadri}, Hacet. J. Math. Stat. 45, No. 2, 311--335 (2016; Zbl 1354.65274) Full Text: DOI
Bhrawy, Ali; Zaky, Mahmoud A fractional-order Jacobi tau method for a class of time-fractional PDEs with variable coefficients. (English) Zbl 1382.65338 Math. Methods Appl. Sci. 39, No. 7, 1765-1779 (2016). MSC: 65M70 35R11 PDF BibTeX XML Cite \textit{A. Bhrawy} and \textit{M. Zaky}, Math. Methods Appl. Sci. 39, No. 7, 1765--1779 (2016; Zbl 1382.65338) Full Text: DOI
Elgindy, Kareem T. High-order numerical solution of second-order one-dimensional hyperbolic telegraph equation using a shifted Gegenbauer pseudospectral method. (English) Zbl 1346.65052 Numer. Methods Partial Differ. Equations 32, No. 1, 307-349 (2016). Reviewer: Krzysztof Moszyński (Warszawa) MSC: 65M70 35L20 33C45 33C15 65M15 PDF BibTeX XML Cite \textit{K. T. Elgindy}, Numer. Methods Partial Differ. Equations 32, No. 1, 307--349 (2016; Zbl 1346.65052) Full Text: DOI arXiv
Çekim, Bayram \(q\)-matrix polynomials in several variables. (English) Zbl 06749170 Filomat 29, No. 9, 2059-2067 (2015). MSC: 33C45 33D50 PDF BibTeX XML Cite \textit{B. Çekim}, Filomat 29, No. 9, 2059--2067 (2015; Zbl 06749170) Full Text: DOI
Bhrawy, A. H.; Doha, E. H.; Baleanu, D.; Ezz-Eldien, S. S. A spectral tau algorithm based on Jacobi operational matrix for numerical solution of time fractional diffusion-wave equations. (English) Zbl 1349.65504 J. Comput. Phys. 293, 142-156 (2015). MSC: 65M70 35R11 PDF BibTeX XML Cite \textit{A. H. Bhrawy} et al., J. Comput. Phys. 293, 142--156 (2015; Zbl 1349.65504) Full Text: DOI
Borhanifar, A.; Sadri, Kh. A new operational approach for numerical solution of generalized functional integro-differential equations. (English) Zbl 1325.65182 J. Comput. Appl. Math. 279, 80-96 (2015). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 65R20 45J05 45A05 45G10 PDF BibTeX XML Cite \textit{A. Borhanifar} and \textit{Kh. Sadri}, J. Comput. Appl. Math. 279, 80--96 (2015; Zbl 1325.65182) Full Text: DOI
Doha, Eid H.; Bhrawy, Ali H.; Baleanu, Dumitru; Ezz-Eldien, Samer S. The operational matrix formulation of the Jacobi tau approximation for space fractional diffusion equation. (English) Zbl 1343.65126 Adv. Difference Equ. 2014, Paper No. 231, 14 p. (2014). MSC: 65M70 35R11 PDF BibTeX XML Cite \textit{E. H. Doha} et al., Adv. Difference Equ. 2014, Paper No. 231, 14 p. (2014; Zbl 1343.65126) Full Text: DOI
Ayadi, B.; Benhadj Braiek, N. Orthogonal functions approach for model order reduction of LTI and LTV systems. (English) Zbl 1291.78064 Nonlinear Dyn. Syst. Theory 13, No. 2, 115-134 (2013). MSC: 78M34 33C45 42C05 PDF BibTeX XML Cite \textit{B. Ayadi} and \textit{N. Benhadj Braiek}, Nonlinear Dyn. Syst. Theory 13, No. 2, 115--134 (2013; Zbl 1291.78064)
Doha, E. H.; Bhrawy, A. H.; Baleanu, D.; Ezz-Eldien, S. S. On shifted Jacobi spectral approximations for solving fractional differential equations. (English) Zbl 1291.65207 Appl. Math. Comput. 219, No. 15, 8042-8056 (2013). MSC: 65L05 34A08 34A30 34A34 65L60 PDF BibTeX XML Cite \textit{E. H. Doha} et al., Appl. Math. Comput. 219, No. 15, 8042--8056 (2013; Zbl 1291.65207) Full Text: DOI
Doha, E. H.; Bhrawy, A. H.; Baleanu, D.; Hafez, R. M. Efficient Jacobi-Gauss collocation method for solving initial value problems of Bratu type. (English) Zbl 1299.65244 Zh. Vychisl. Mat. Mat. Fiz. 53, No. 9, 1480-1480 (2013); translation in Comput. Math. Math. Phys. 53, No. 9, 1292-1302 (2013). MSC: 65M70 35K55 80A25 80A20 80M22 PDF BibTeX XML Cite \textit{E. H. Doha} et al., Zh. Vychisl. Mat. Mat. Fiz. 53, No. 9, 1480--1480 (2013; Zbl 1299.65244); translation in Comput. Math. Math. Phys. 53, No. 9, 1292--1302 (2013) Full Text: DOI
Bhrawy, Ali H.; Alghamdi, Mohammed A. A shifted Jacobi-Gauss-Lobatto collocation method for solving nonlinear fractional Langevin equation involving two fractional orders in different intervals. (English) Zbl 1280.65079 Bound. Value Probl. 2012, Paper No. 62, 13 p. (2012). MSC: 65L60 34A08 34B10 34B15 PDF BibTeX XML Cite \textit{A. H. Bhrawy} and \textit{M. A. Alghamdi}, Bound. Value Probl. 2012, Paper No. 62, 13 p. (2012; Zbl 1280.65079) Full Text: DOI
Bhrawy, A. H.; Rezaei, A.; Boubaker, K. Jacobi pseudo-spectral method JPSM and BPES for solving differential equations. (English) Zbl 1257.65038 Differ. Equ. Dyn. Syst. 20, No. 1, 67-76 (2012). MSC: 65L05 65L60 34A34 PDF BibTeX XML Cite \textit{A. H. Bhrawy} et al., Differ. Equ. Dyn. Syst. 20, No. 1, 67--76 (2012; Zbl 1257.65038) Full Text: DOI
Doha, E. H.; Bhrawy, A. H.; Hafez, R. M. On shifted Jacobi spectral method for high-order multi-point boundary value problems. (English) Zbl 1251.65112 Commun. Nonlinear Sci. Numer. Simul. 17, No. 10, 3802-3810 (2012). MSC: 65L10 34B05 34B10 34B15 65L60 65L20 PDF BibTeX XML Cite \textit{E. H. Doha} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 10, 3802--3810 (2012; Zbl 1251.65112) Full Text: DOI
Bhrawy, Ali H.; Alofi, A. S. A Jacobi-Gauss collocation method for solving nonlinear Lane-Emden type equations. (English) Zbl 1244.65099 Commun. Nonlinear Sci. Numer. Simul. 17, No. 1, 62-70 (2012). MSC: 65L05 65L60 34A34 PDF BibTeX XML Cite \textit{A. H. Bhrawy} and \textit{A. S. Alofi}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 1, 62--70 (2012; Zbl 1244.65099) Full Text: DOI
Zhuravlev, M. V.; Kiselev, E. A.; Minin, L. A.; Sitnik, S. M. Jacobi theta-functions and systems of integer shifted Gaussian functions. (English. Russian original) Zbl 1219.42023 J. Math. Sci., New York 173, No. 2, 231-241 (2011); translation from Sovrem. Mat. Prilozh. 67, 107-116 (2010). Reviewer: Manfred Tasche (Rostock) MSC: 42C30 42C15 33E05 41A05 33C45 PDF BibTeX XML Cite \textit{M. V. Zhuravlev} et al., J. Math. Sci., New York 173, No. 2, 231--241 (2011; Zbl 1219.42023); translation from Sovrem. Mat. Prilozh. 67, 107--116 (2010) Full Text: DOI
Rosengren, Hjalmar Schur \(Q\)-polynomials, multiple hypergeometric series and enumeration of marked shifted tableaux. (English) Zbl 1202.33024 J. Comb. Theory, Ser. A 115, No. 3, 376-406 (2008). MSC: 33D45 05E10 PDF BibTeX XML Cite \textit{H. Rosengren}, J. Comb. Theory, Ser. A 115, No. 3, 376--406 (2008; Zbl 1202.33024) Full Text: DOI arXiv
Kazarian, K. S.; Trebels, W. Shifted Jacobi multiplier sequences and transplantation between sine and cosine series. (English) Zbl 1215.42034 Math. Z. 258, No. 1, 43-54 (2008). MSC: 42C10 42A45 42A50 42A63 44A15 PDF BibTeX XML Cite \textit{K. S. Kazarian} and \textit{W. Trebels}, Math. Z. 258, No. 1, 43--54 (2008; Zbl 1215.42034) Full Text: DOI
Kusalik, Timothy; Mingo, James A.; Speicher, Roland Orthogonal polynomials and fluctuations of random matrices. (English) Zbl 1129.46054 J. Reine Angew. Math. 604, 1-46 (2007). Reviewer: Isamu Dôku (Saitama) MSC: 46L54 15B52 33C45 15B51 PDF BibTeX XML Cite \textit{T. Kusalik} et al., J. Reine Angew. Math. 604, 1--46 (2007; Zbl 1129.46054) Full Text: DOI arXiv
Lewanowicz, Stanisław; Woźny, Paweł Dual generalized Bernstein basis. (English) Zbl 1087.41007 J. Approximation Theory 138, No. 2, 129-150 (2006). Reviewer: Jeremy Lovejoy (Paris) MSC: 41A10 33D45 PDF BibTeX XML Cite \textit{S. Lewanowicz} and \textit{P. Woźny}, J. Approx. Theory 138, No. 2, 129--150 (2006; Zbl 1087.41007) Full Text: DOI
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E. Bernstein bases and Hahn-Eberlein orthogonal polynomials. (English) Zbl 0942.33006 Integral Transforms Spec. Funct. 7, No. 1-2, 87-96 (1998). Reviewer: Wolfram Koepf (Leipzig) MSC: 33C45 68U07 PDF BibTeX XML Cite \textit{A. Ronveaux} et al., Integral Transforms Spec. Funct. 7, No. 1--2, 87--96 (1998; Zbl 0942.33006) Full Text: DOI
Lewanowicz, Stanisław Evaluation of Bessel function integrals with algebraic singularities. (English) Zbl 0749.65014 J. Comput. Appl. Math. 37, No. 1-3, 101-112 (1991). Reviewer: A.Laforgia (Potenza) MSC: 65D20 65D32 33C10 PDF BibTeX XML Cite \textit{S. Lewanowicz}, J. Comput. Appl. Math. 37, No. 1--3, 101--112 (1991; Zbl 0749.65014) Full Text: DOI
Ioakimidis, Nikolaos I. On Kutt’s Gaussian quadrature rule for finite-part integrals. (English) Zbl 0688.41030 Appl. Numer. Math. 5, No. 3, 209-213 (1989). Reviewer: A.-I.Lupaş (Sibiu) MSC: 41A55 41A35 PDF BibTeX XML Cite \textit{N. I. Ioakimidis}, Appl. Numer. Math. 5, No. 3, 209--213 (1989; Zbl 0688.41030) Full Text: DOI
Razzaghi, Mehdi; Razzaghi, Mohsen Shifted-Jacobi series direct method for variational problems. (English) Zbl 0684.49012 Int. J. Syst. Sci. 20, No. 7, 1119-1129 (1989). MSC: 49M15 49K05 PDF BibTeX XML Cite \textit{M. Razzaghi} and \textit{M. Razzaghi}, Int. J. Syst. Sci. 20, No. 7, 1119--1129 (1989; Zbl 0684.49012) Full Text: DOI
Mohan, B. M.; Datta, K. B. Lumped and distributed parameter system identification via shifted Legendre polynomials. (English) Zbl 0667.93021 J. Dyn. Syst. Meas. Control 110, No. 4, 436-440 (1988). MSC: 93B30 42C10 44A45 93C05 33C45 PDF BibTeX XML Cite \textit{B. M. Mohan} and \textit{K. B. Datta}, J. Dyn. Syst. Meas. Control 110, No. 4, 436--440 (1988; Zbl 0667.93021) Full Text: DOI
Mohan, B. M.; Datta, K. B. Analysis of time-delay systems via shifted Chebyshev polynomials of the first and second kinds. (English) Zbl 0652.93029 Int. J. Syst. Sci. 19, No. 9, 1843-1851 (1988). MSC: 93C30 34K35 42C10 33C45 44A45 93C05 PDF BibTeX XML Cite \textit{B. M. Mohan} and \textit{K. B. Datta}, Int. J. Syst. Sci. 19, No. 9, 1843--1851 (1988; Zbl 0652.93029) Full Text: DOI
Lee, Tsu-Tian; Tsay, Shuh-Chuan Solution of linear dynamic systems with initial or boundary value conditions by shifted Chebyshev approximations. (English) Zbl 0647.93031 Int. J. Syst. Sci. 19, No. 7, 1225-1234 (1988). MSC: 93C05 42C10 44A45 33C45 93B40 93B17 PDF BibTeX XML Cite \textit{T.-T. Lee} and \textit{S.-C. Tsay}, Int. J. Syst. Sci. 19, No. 7, 1225--1234 (1988; Zbl 0647.93031) Full Text: DOI
Chou, Jyh-Horng; Horng, Ing-Rong Optimal control of deterministic systems described by integrodifferential equations via Chebyshev series. (English) Zbl 0646.93031 J. Dyn. Syst. Meas. Control 109, 345-348 (1987). MSC: 93C30 45J05 42C10 33C45 44A45 93C05 PDF BibTeX XML Cite \textit{J.-H. Chou} and \textit{I.-R. Horng}, J. Dyn. Syst. Meas. Control 109, 345--348 (1987; Zbl 0646.93031) Full Text: DOI
Whitfield, A. H.; Messali, N. Continuous system order identification from plant input-output data. (English) Zbl 0624.93019 Int. J. Control 46, 1399-1410 (1987). MSC: 93B30 33C45 15A18 PDF BibTeX XML Cite \textit{A. H. Whitfield} and \textit{N. Messali}, Int. J. Control 46, 1399--1410 (1987; Zbl 0624.93019) Full Text: DOI
Horng, Ing-Rong; Chou, Jyh-Horng; Chen, Kang-Shin Shifted Jacobi series solution of simultaneous linear distributed systems. (English) Zbl 0611.93041 Int. J. Syst. Sci. 18, 1145-1150 (1987). MSC: 93C20 44A45 93C05 33C45 42C10 PDF BibTeX XML Cite \textit{I.-R. Horng} et al., Int. J. Syst. Sci. 18, 1145--1150 (1987; Zbl 0611.93041) Full Text: DOI
Horng, Ing-Rong; Chou, Jyh-Horng Legendre series for the identification of nonlinear lumped systems. (English) Zbl 0611.93017 Int. J. Syst. Sci. 18, 1139-1144 (1987). MSC: 93B30 44A45 93C10 33C45 42C10 93C15 PDF BibTeX XML Cite \textit{I.-R. Horng} and \textit{J.-H. Chou}, Int. J. Syst. Sci. 18, 1139--1144 (1987; Zbl 0611.93017) Full Text: DOI
Chou, Jyh-Horng; Horng, Ing-Rong Parameter identification of nonlinear systems via shifted Chebyshev series. (English) Zbl 0611.93016 Int. J. Syst. Sci. 18, 895-900 (1987). MSC: 93B30 44A45 93C10 33C45 42C10 93C15 93E12 PDF BibTeX XML Cite \textit{J.-H. Chou} and \textit{I.-R. Horng}, Int. J. Syst. Sci. 18, 895--900 (1987; Zbl 0611.93016) Full Text: DOI
Chou, Jyh-Horng Analysis and identification of scaled systems via shifted Jacobi series. (English) Zbl 0609.93035 Int. J. Syst. Sci. 18, 33-41 (1987). MSC: 93C30 42C10 93B30 33C45 44A45 93C05 PDF BibTeX XML Cite \textit{J.-H. Chou}, Int. J. Syst. Sci. 18, 33--41 (1987; Zbl 0609.93035) Full Text: DOI
Chou, Jyh-Horng Application of Legendre series to the optimal control of integrodifferential equations. (English) Zbl 0603.93028 Int. J. Control 45, 269-277 (1987). MSC: 93C30 42C10 45J05 33C45 44A45 93C05 PDF BibTeX XML Cite \textit{J.-H. Chou}, Int. J. Control 45, 269--277 (1987; Zbl 0603.93028) Full Text: DOI
Lee, Tsu-Tian; Tsay, Shuh-Chuan Analysis of linear time-varying systems and bilinear systems via shifted Chebyshev polynomials of the second kind. (English) Zbl 0598.93038 Int. J. Syst. Sci. 17, 1757-1766 (1986). MSC: 93C99 33C45 44A45 42C10 93C05 93C10 PDF BibTeX XML Cite \textit{T.-T. Lee} and \textit{S.-C. Tsay}, Int. J. Syst. Sci. 17, 1757--1766 (1986; Zbl 0598.93038) Full Text: DOI
Shih, Dong-Her; Wang, Lai-Fwu Optimal control of deterministic systems described by integrodifferential equations. (English) Zbl 0598.93034 Int. J. Control 44, 1737-1745 (1986). MSC: 93C30 45J05 44A45 33C45 42C10 PDF BibTeX XML Cite \textit{D.-H. Shih} and \textit{L.-F. Wang}, Int. J. Control 44, 1737--1745 (1986; Zbl 0598.93034) Full Text: DOI
Horng, Ing-Rong; Chou, Jyh-Horng Analysis and parameter identification of time-delay systems via shifted Jacobi polynomials. (English) Zbl 0594.93021 Int. J. Control 44, 935-942 (1986). MSC: 93B30 34K05 42C10 33C45 44A45 93C05 PDF BibTeX XML Cite \textit{I.-R. Horng} and \textit{J.-H. Chou}, Int. J. Control 44, 935--942 (1986; Zbl 0594.93021) Full Text: DOI
Hwang, Chyi; Chen, Muh-yang Analysis of time-delay systems using the Galerkin method. (English) Zbl 0593.93033 Int. J. Control 44, 847-866 (1986). MSC: 93C99 34K35 65L60 33C45 42C10 44A45 93C05 93B40 PDF BibTeX XML Cite \textit{C. Hwang} and \textit{M.-y. Chen}, Int. J. Control 44, 847--866 (1986; Zbl 0593.93033) Full Text: DOI
Hwang, Chyi; Chen, Muh-Yang Analysis and parameter identification of bilinear systems via shifted Legendre polynomials. (English) Zbl 0593.93015 Int. J. Control 44, 351-362 (1986). MSC: 93B30 93C10 93C99 33C45 42C10 44A45 PDF BibTeX XML Cite \textit{C. Hwang} and \textit{M.-Y. Chen}, Int. J. Control 44, 351--362 (1986; Zbl 0593.93015) Full Text: DOI
Horng, Ing-Rong; Chou, Jyh-Horng New approach to the optimal control of time-varying linear systems via Chebyshev series. (English) Zbl 0589.93026 Int. J. Syst. Sci. 17, 453-458 (1986). MSC: 93C05 42C10 93C99 33C45 44A45 PDF BibTeX XML Cite \textit{I.-R. Horng} and \textit{J.-H. Chou}, Int. J. Syst. Sci. 17, 453--458 (1986; Zbl 0589.93026) Full Text: DOI
Hwang, Chyi; Chen, Muh-yang A direct approach using the shifted Legendre series expansion for near optimum control of linear time-varying systems with multiple state and control delays. (English) Zbl 0586.93048 Int. J. Control 43, 1673-1692 (1986). MSC: 93C99 42C10 44A45 33C45 93B40 93C05 PDF BibTeX XML Cite \textit{C. Hwang} and \textit{M.-y. Chen}, Int. J. Control 43, 1673--1692 (1986; Zbl 0586.93048) Full Text: DOI
Shih, Dong-her; Kung, Fan-chu Optimal control of deterministic systems via shifted Legendre polynomials. (English) Zbl 0586.93037 IEEE Trans. Autom. Control 31, 451-454 (1986). MSC: 93C30 33C45 45J05 42C10 44A45 93B40 93B50 93C05 PDF BibTeX XML Cite \textit{D.-h. Shih} and \textit{F.-c. Kung}, IEEE Trans. Autom. Control 31, 451--454 (1986; Zbl 0586.93037) Full Text: DOI
Shih, Dong-her; Kung, Fan-chu Shifted Legendre approach to the analysis and identification of a linear delayed system with a nonlinear gain. (English) Zbl 0586.93030 IEE Proc., Part D 133, 127-132 (1986). MSC: 93C10 42C10 44A45 33C45 34K35 93B30 93B40 PDF BibTeX XML Cite \textit{D.-h. Shih} and \textit{F.-c. Kung}, IEE Proc., Part D 133, 127--132 (1986; Zbl 0586.93030) Full Text: DOI
Perng, Ming-hwei Direct approach for the optimal control of linear time-delay systems via shifted Legendre polynomials. (English) Zbl 0586.93026 Int. J. Control 43, 1897-1904 (1986). MSC: 93C05 34K35 42C10 33C45 44A45 PDF BibTeX XML Cite \textit{M.-h. Perng}, Int. J. Control 43, 1897--1904 (1986; Zbl 0586.93026) Full Text: DOI
Chou, Jyh-Horng; Horng, Ing-Rong Shifted-Chebyshev-series analysis and identification of time-varying bilinear systems. (English) Zbl 0584.93032 Int. J. Control 43, 129-137 (1986). MSC: 93C10 42C10 93C99 33C45 93B30 PDF BibTeX XML Cite \textit{J.-H. Chou} and \textit{I.-R. Horng}, Int. J. Control 43, 129--137 (1986; Zbl 0584.93032) Full Text: DOI
Shih, Dong-Her; Kung, Fan-Chu Analysis and parameter estimation of a scaled system via shifted Legendre polynomials. (English) Zbl 0583.93023 Int. J. Syst. Sci. 17, 401-408 (1986). MSC: 93C05 42C10 93B30 33C45 44A45 93B40 PDF BibTeX XML Cite \textit{D.-H. Shih} and \textit{F.-C. Kung}, Int. J. Syst. Sci. 17, 401--408 (1986; Zbl 0583.93023) Full Text: DOI
Chou, Jyh-Horng; Horng, Ing-Rong Parameter identification of lumped time-varying systems via shifted Chebyshev series. (English) Zbl 0583.93010 Int. J. Syst. Sci. 17, 459-464 (1986). MSC: 93B30 42C10 93C05 33C45 44A45 93C99 PDF BibTeX XML Cite \textit{J.-H. Chou} and \textit{I.-R. Horng}, Int. J. Syst. Sci. 17, 459--464 (1986; Zbl 0583.93010) Full Text: DOI
Horng, Ing-rong; Chou, Jyh-horng; Tsai, Chung-hsing Application of shifted Chebyshev series to the optimal control of scaled systems. (English) Zbl 0581.93027 Int. J. Syst. Sci. 17, 679-685 (1986). MSC: 93C05 42C10 93B40 33C45 44A45 PDF BibTeX XML Cite \textit{I.-r. Horng} et al., Int. J. Syst. Sci. 17, 679--685 (1986; Zbl 0581.93027) Full Text: DOI
Shih, Dong-her; Kung, Fan-chu Analysis and parameter estimation of non-linear systems via shifted Chebyshev expansions. (English) Zbl 0579.93031 Int. J. Syst. Sci. 17, 231-240 (1986). MSC: 93C10 42C10 93B30 33C45 93C15 PDF BibTeX XML Cite \textit{D.-h. Shih} and \textit{F.-c. Kung}, Int. J. Syst. Sci. 17, 231--240 (1986; Zbl 0579.93031) Full Text: DOI
Horng, I. R.; Chou, J. H. Design of optimal observers with specified eigenvalues via shifted Legendre polynomials. (English) Zbl 0579.93024 J. Optimization Theory Appl. 51, 179-188 (1986). MSC: 93B50 93B07 42C10 33C45 PDF BibTeX XML Cite \textit{I. R. Horng} and \textit{J. H. Chou}, J. Optim. Theory Appl. 51, 179--188 (1986; Zbl 0579.93024) Full Text: DOI
Hwang, Chyi; Chen, Muh-yang Suboptimal control of linear time-varying multi-delay systems via shifted Legendre polynomials. (English) Zbl 0587.93042 Int. J. Syst. Sci. 16, 1517-1537 (1985). MSC: 93C99 33C45 93C05 34K35 42C10 44A45 PDF BibTeX XML Cite \textit{C. Hwang} and \textit{M.-y. Chen}, Int. J. Syst. Sci. 16, 1517--1537 (1985; Zbl 0587.93042) Full Text: DOI
Shih, Dong-Her; Kung, Fan-chu The shifted Legendre approach to nonlinear system analysis and identification. (English) Zbl 0587.93032 Int. J. Control 42, 1399-1410 (1985). MSC: 93C10 42C10 44A45 33C45 93B30 93B40 PDF BibTeX XML Cite \textit{D.-H. Shih} and \textit{F.-c. Kung}, Int. J. Control 42, 1399--1410 (1985; Zbl 0587.93032) Full Text: DOI
Lee, Li; Kung, Fanchu Shifted Legendre series solution and parameter estimation of linear delayed systems. (English) Zbl 0568.93028 Int. J. Syst. Sci. 16, 1249-1256 (1985). MSC: 93C05 34K35 42C10 33C45 93B30 93C99 PDF BibTeX XML Cite \textit{L. Lee} and \textit{F. Kung}, Int. J. Syst. Sci. 16, 1249--1256 (1985; Zbl 0568.93028) Full Text: DOI
Chou, Jyhhorng; Horng, Ingrong Shifted Legendre series analysis of linear optimal control systems incorporating observers. (English) Zbl 0568.93026 Int. J. Syst. Sci. 16, 863-867 (1985). MSC: 93C05 42C10 93B40 33C45 93B07 PDF BibTeX XML Cite \textit{J. Chou} and \textit{I. Horng}, Int. J. Syst. Sci. 16, 863--867 (1985; Zbl 0568.93026) Full Text: DOI
Ingrong, Horng; Jyhhorng, Chou Shifted Chebyshev direct method for solving variational problems. (English) Zbl 0568.49019 Int. J. Syst. Sci. 16, 855-861 (1985). MSC: 49M05 33C45 49K15 42C10 65K10 PDF BibTeX XML Cite \textit{H. Ingrong} and \textit{C. Jyhhorng}, Int. J. Syst. Sci. 16, 855--861 (1985; Zbl 0568.49019) Full Text: DOI
Hwang, Chyi; Chen, Muhyang Parameter identification of bilinear systems using the Galerkin method. (English) Zbl 0567.93023 Int. J. Syst. Sci. 16, 641-648 (1985). MSC: 93B30 65L60 93C10 33C45 42C10 93B40 93C15 PDF BibTeX XML Cite \textit{C. Hwang} and \textit{M. Chen}, Int. J. Syst. Sci. 16, 641--648 (1985; Zbl 0567.93023) Full Text: DOI
Chou, Jyhhorng; Horng, Ingrong Double-shifted Chebyshev series for convolution integral and integral equations. (English) Zbl 0566.93029 Int. J. Control 42, 225-232 (1985). MSC: 93C30 42C10 44A45 33C45 45B05 45D05 93B40 PDF BibTeX XML Cite \textit{J. Chou} and \textit{I. Horng}, Int. J. Control 42, 225--232 (1985; Zbl 0566.93029) Full Text: DOI
Chou, Jyhhorng; Horng, Ingrong Application of shifted Chebyshev series to the optimal control of linear distributed-parameter systems. (English) Zbl 0566.93028 Int. J. Control 42, 233-241 (1985). MSC: 93C20 42C10 44A45 33C45 35K05 93B40 93C05 PDF BibTeX XML Cite \textit{J. Chou} and \textit{I. Horng}, Int. J. Control 42, 233--241 (1985; Zbl 0566.93028) Full Text: DOI
Hwang, Chyi; Chen, Muhyang Analysis and optimal control of time-varying linear systems via shifted Legendre polynomials. (English) Zbl 0562.93035 Int. J. Control 41, 1317-1330 (1985). MSC: 93C05 42C10 93C99 33C45 44A45 34K35 PDF BibTeX XML Cite \textit{C. Hwang} and \textit{M. Chen}, Int. J. Control 41, 1317--1330 (1985; Zbl 0562.93035) Full Text: DOI
Chang, Rongyeu; Wang, Mawling The application of shifted Legendre polynomials to time-delay systems and parameter identification. (English) Zbl 0558.93023 J. Dyn. Syst. Meas. Control 107, 79-85 (1985). MSC: 93B30 34K35 93C05 33C45 44A45 93B40 PDF BibTeX XML Cite \textit{R. Chang} and \textit{M. Wang}, J. Dyn. Syst. Meas. Control 107, 79--85 (1985; Zbl 0558.93023) Full Text: DOI
Chou, Jyhhorng; Horng, Ingrong Application of Chebyshev polynomials to the optimal control of time- varying linear systems. (English) Zbl 0555.93024 Int. J. Control 41, 135-144 (1985). MSC: 93C05 33C45 93C99 44A45 93C15 PDF BibTeX XML Cite \textit{J. Chou} and \textit{I. Horng}, Int. J. Control 41, 135--144 (1985; Zbl 0555.93024) Full Text: DOI
Chou, Jyhhorng; Horng, Ingrong Shifted Chebyshev series analysis of linear optimal control systems incorporating observers. (English) Zbl 0555.93023 Int. J. Control 41, 129-134 (1985). MSC: 93C05 33C45 44A45 93C15 93C99 PDF BibTeX XML Cite \textit{J. Chou} and \textit{I. Horng}, Int. J. Control 41, 129--134 (1985; Zbl 0555.93023) Full Text: DOI
Horng, Ingrong; Chou, Jyhhorng The design of optimal observers via shifted Chebyshev polynomials. (English) Zbl 0555.93017 Int. J. Control 41, 549-556 (1985). MSC: 93B50 42C10 93C05 33C45 44A45 93C99 PDF BibTeX XML Cite \textit{I. Horng} and \textit{J. Chou}, Int. J. Control 41, 549--556 (1985; Zbl 0555.93017) Full Text: DOI
Hwang, Chyi; Chen, Muhyang Analysis and parameter identification of time-delay systems via shifted Legendre polynomials. (English) Zbl 0555.93014 Int. J. Control 41, 403-415 (1985). MSC: 93B30 34K05 42C10 33C45 44A45 93B40 93C15 PDF BibTeX XML Cite \textit{C. Hwang} and \textit{M. Chen}, Int. J. Control 41, 403--415 (1985; Zbl 0555.93014) Full Text: DOI
Wang, M. L.; Chang, R. Y. Optimal control of lumped parameter systems via shifted Legendre polynomial approximation. (English) Zbl 0536.93032 J. Optimization Theory Appl. 45, 313-324 (1985). MSC: 93C15 33C45 44A45 34K99 PDF BibTeX XML Cite \textit{M. L. Wang} and \textit{R. Y. Chang}, J. Optim. Theory Appl. 45, 313--324 (1985; Zbl 0536.93032) Full Text: DOI
Hwang, Chyi; Guo, Tongyi Parameter identification of a class of time-varying systems via orthogonal shifted Legendre polynomials. (English) Zbl 0589.93012 J. Franklin Inst. 318, 59-69 (1984). Reviewer: P.Paraskevopoulos MSC: 93B30 42C10 93C99 33C45 65F20 93B40 93C05 PDF BibTeX XML Cite \textit{C. Hwang} and \textit{T. Guo}, J. Franklin Inst. 318, 59--69 (1984; Zbl 0589.93012)
Tsai, Mingjong; Chen, Cha’okuang; Kung, Fanchu Analysis of linear time-varying systems by shifted Legendre polynomials. (English) Zbl 0544.93048 J. Franklin Inst. 318, 275-282 (1984). MSC: 93C99 42C10 93C05 33C45 93B17 PDF BibTeX XML Cite \textit{M. Tsai} et al., J. Franklin Inst. 318, 275--282 (1984; Zbl 0544.93048) Full Text: DOI
Chang, Rongyeu; Wang, Mawling Legendre polynomials approximation to dynamic linear state equations with initial or boundary value conditions. (English) Zbl 0539.93028 Int. J. Control 40, 215-232 (1984). MSC: 93B40 42C10 93C05 33C45 93C99 PDF BibTeX XML Cite \textit{R. Chang} and \textit{M. Wang}, Int. J. Control 40, 215--232 (1984; Zbl 0539.93028) Full Text: DOI
Hwang, Chyi; Guo, Tongyi Transfer-function matrix identification in MIMO systems via shifted Legendre polynomials. (English) Zbl 0531.93022 Int. J. Control 39, 807-814 (1984). MSC: 93B30 42C10 93C35 33C45 44A45 93C05 93C99 PDF BibTeX XML Cite \textit{C. Hwang} and \textit{T. Guo}, Int. J. Control 39, 807--814 (1984; Zbl 0531.93022) Full Text: DOI
Wang, Mawling; Chang, Rongyeu Optimal control of linear distributed parameter systems by shifted Legendre polynomial functions. (English) Zbl 0525.93040 J. Dyn. Syst. Meas. Control 105, 222-226 (1983). MSC: 93C20 42C10 93C05 33C45 35K05 44A45 93B40 PDF BibTeX XML Cite \textit{M. Wang} and \textit{R. Chang}, J. Dyn. Syst. Meas. Control 105, 222--226 (1983; Zbl 0525.93040) Full Text: DOI
Boyd, John P. A Chebyshev polynomial rate-of-convergence theorem for Stieltjes functions. (English) Zbl 0524.41014 Math. Comput. 39, 201-206 (1982). MSC: 41A50 42C10 41A25 41A60 33C45 41A10 PDF BibTeX XML Cite \textit{J. P. Boyd}, Math. Comput. 39, 201--206 (1982; Zbl 0524.41014) Full Text: DOI
Chang, Rong-Yeu; Wang, Maw-Ling Parameter identification via shifted Legendre polynomials. (English) Zbl 0486.93021 Int. J. Syst. Sci. 13, 1125-1135 (1982). MSC: 93B30 33C45 93C15 93B40 93C05 93C99 PDF BibTeX XML Cite \textit{R.-Y. Chang} and \textit{M.-L. Wang}, Int. J. Syst. Sci. 13, 1125--1135 (1982; Zbl 0486.93021) Full Text: DOI
Beccari, Claudio The use of the shifted Jacobi polynomials in the synthesis of lowpass filters. (English) Zbl 0403.94022 Int. J. Circuit Theory Appl. 7, 289-295 (1979). MSC: 94C05 PDF BibTeX XML Cite \textit{C. Beccari}, Int. J. Circuit Theory Appl. 7, 289--295 (1979; Zbl 0403.94022) Full Text: DOI