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Applicable Analysis
An International Journal
Volume 62, 1996 - Issue 3-4
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Original Articles

Eigenvalues of s-l systems using sampling theory

A. Boumenir Department of mathematics, K.F.U.P.M, 31261, Saudi Arabia
&
B. Chanane Department of mathematics, K.F.U.P.M, 31261, Saudi Arabia
Pages 323-334 | Received 01 Jun 1996, Published online: 02 May 2007

Citations (37)

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Read on this site (5)

H. Al Attas & A. Boumenir. (2020) Sampling eigenvalues by Hermite revisited. International Journal of Computer Mathematics 97:7, pages 1380-1390.
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M. M. Tharwat, A. H. Bhrawy & A. Yildirim. (2012) Numerical computation of the eigenvalues of a discontinuous Dirac system using the sinc method with error analysis. International Journal of Computer Mathematics 89:15, pages 2061-2080.
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Chanane Bilal. (2001) High order approximations of the eigenvalues of sturm-liouville problems with coupled self-adjoint boundary conditions. Applicable Analysis 80:3-4, pages 317-330.
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B. Chanane. (2000) The plaey-wiener-levinson theorem and the computation of strum-liouville eigenvalues: irregular sampling. Applicable Analysis 75:3-4, pages 261-266.
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B. Chanane. (1998) Eigenvalues of Sturm-Liouville Problems Using Fliess Series. Applicable Analysis 69:3-4, pages 233-238.
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Articles from other publishers (32)

E. Baskaya & A. Boumenir. (2023) Sampling the eigenvalues of a graph. Sampling Theory, Signal Processing, and Data Analysis 21:1.
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M. H. Annaby, R. M. Asharabi & M. M. Tharwat. 2021. New Sinc Methods of Numerical Analysis. New Sinc Methods of Numerical Analysis 255 298 .
Amin Boumenir & Vu Kim Tuan. 2020. Transmutation Operators and Applications. Transmutation Operators and Applications 11 47 .
Rashad M. Asharabi & Mohammed M. Tharwat. (2017) Approximating eigenvalues of Dirac system with discontinuities at several points using Hermite-Gauss method. Numerical Algorithms 76:3, pages 655-673.
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Mine Babaoglu & Etibar S. Panakhov. (2017) On Some Spectral Problems for Diffusion Operator. ITM Web of Conferences 13, pages 01036.
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Rashad M Asharabi. (2016) A Hermite-Gauss method for the approximation of eigenvalues of regular Sturm-Liouville problems. Journal of Inequalities and Applications 2016:1.
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Fatma Hıra & Nihat Altınışık. (2015) Sampling theory for Sturm–Liouville problem with boundary and transmission conditions containing an eigenparameter. Zeitschrift für angewandte Mathematik und Physik 66:4, pages 1737-1749.
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Fatma Hıra & Nihat Altınışık. (2014) Sampling theorems for Sturm-Liouville problem with moving discontinuity points. Boundary Value Problems 2014:1.
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B. Chanane & A. Boucherif. (2014) Computation of the Eigenpairs of Two-Parameter Sturm-Liouville Problems Using the Regularized Sampling Method . Abstract and Applied Analysis 2014, pages 1-6.
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Mohammed M Tharwat. (2013) Computing eigenvalues and Hermite interpolation for Dirac systems with eigenparameter in boundary conditions. Boundary Value Problems 2013:1.
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M.H. Annaby & M.M. Tharwat. (2013) The Hermite interpolation approach for computing eigenvalues of Dirac systems. Mathematical and Computer Modelling 57:9-10, pages 2459-2472.
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Abdullah AlAzemi, Fares AlAzemi & Amin Boumenir. (2013) The Approximation of Eigencurves by Sampling. Sampling Theory in Signal and Image Processing 12:2-3, pages 127-137.
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M. M. Tharwat, A. H. Bhrawy & A. S. Alofi. (2013) Computing Eigenvalues of Discontinuous Sturm-Liouville Problems with Eigenparameter in All Boundary Conditions Using Hermite Approximation. Abstract and Applied Analysis 2013, pages 1-14.
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M. M. Tharwat & S. M. Al-Harbi. (2013) Approximation of Eigenvalues of Sturm-Liouville Problems by Using Hermite Interpolation. Abstract and Applied Analysis 2013, pages 1-14.
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Mohammed M Tharwat & Ali H Bhrawy. (2012) Computation of eigenvalues of discontinuous dirac system using Hermite interpolation technique. Advances in Difference Equations 2012:1.
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Mahmoud H. Annaby & Rashad M. Asharabi. (2011) Computing eigenvalues of Sturm–Liouville problems by Hermite interpolations. Numerical Algorithms 60:3, pages 355-367.
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Mahmoud H. Annaby & Rashad M. Asharabi. (2010) ERROR ANALYSIS ASSOCIATED WITH UNIFORM HERMITE INTERPOLATIONS OF BANDLIMITED FUNCTIONS. Journal of the Korean Mathematical Society 47:6, pages 1299-1316.
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Bilal Chanane. (2009) Computing the eigenvalues of a class of nonlocal Sturm–Liouville problems. Mathematical and Computer Modelling 50:1-2, pages 225-232.
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M.H. Annaby & R.M. Asharabi. (2008) Computing Eigenvalues of Boundary-Value Problems Using Sinc-Gaussian Method. Sampling Theory in Signal and Image Processing 7:3, pages 293-311.
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B. Chanane. (2008) Sturm–Liouville problems with parameter dependent potential and boundary conditions. Journal of Computational and Applied Mathematics 212:2, pages 282-290.
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M. H. Annaby & R. M. Asharabi. (2008) Approximating eigenvalues of discontinuous problems by sampling theorems. Journal of Numerical Mathematics 16:3.
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M. H. Annaby & R. M. Asharabi. (2008) On Sinc-Based Method in Computing Eigenvalues of Boundary-Value Problems. SIAM Journal on Numerical Analysis 46:2, pages 671-690.
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B. Chanane. (2007) Computing the spectrum of non-self-adjoint Sturm–Liouville problems with parameter-dependent boundary conditions. Journal of Computational and Applied Mathematics 206:1, pages 229-237.
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B. Chanane. (2007) Sturm–Liouville problems with impulse effects. Applied Mathematics and Computation 190:1, pages 610-626.
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B. Chanane. (2007) Eigenvalues of Sturm–Liouville problems with discontinuity conditions inside a finite interval. Applied Mathematics and Computation 188:2, pages 1725-1732.
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B. Chanane. (2007) Computing the eigenvalues of singular Sturm–Liouville problems using the regularized sampling method. Applied Mathematics and Computation 184:2, pages 972-978.
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A. Boumenir. (2000) Computing eigenvalues of the string by sampling. Applied Mathematics Letters 13:4, pages 29-36.
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Amin Boumenir. (1999) The recovery of analytic potentials. Inverse Problems 15:6, pages 1405-1423.
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B. Chanane. (1999) Computing eigenvalues of regular Sturm-Liouville problems. Applied Mathematics Letters 12:7, pages 119-125.
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Amin Boumenir. (1999) Eigenvalues of periodic Sturm-Liouville problems by the Shannon-Whittaker sampling theorem. Mathematics of Computation 68:227, pages 1057-1066.
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A. Boumenir & B. Chanane. (2009) Computing eigenvalues of Sturm-Liouville systems of Bessel type. Proceedings of the Edinburgh Mathematical Society 42:2, pages 257-265.
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B Chanane. (1998) High Order Approximations of the Eigenvalues of Regular Sturm–Liouville Problems. Journal of Mathematical Analysis and Applications 226:1, pages 121-129.
Crossref

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