Prof. Dr. Rashad Mudhsh Ali Hezam Asharabi

Profile

Academic positionAssociate Professor, Senior Lecturer, Reader
Research fieldsAnalysis, Differential Equations
KeywordsApproximations and expansions, Sampling Theory, Fourier Analysis, Sinc Methods, Errors Analysis of Sampling series

Current contact address

CountrySaudi Arabia
CityNajran
InstitutionNajran University
InstituteDepartment of Mathematics
Homepagehttps://www.nu.edu.sa

Host during sponsorship

Prof. Dr. Jürgen PrestinInstitut für Mathematik, Universität zu Lübeck, Lübeck
Start of initial sponsorship01/12/2012

Programme(s)

2012Georg Forster Research Fellowship Programme for Postdocs

Publications (partial selection)

2023R. M. Asharabi and F. H. Al-Haddad: A multidimensional Hermite-Gauss sampling formula for analytic functions of several variables. In: Numerical Algorithms , 2023,
20234. R. M. Asharabi: Periodic nonuniform sinc-Gauss sampling. In: Filomat, 37, 2023, 279-292
2022R. M. Asharabi, F. H. Al-Haddad: On multidimensional sinc-Gauss sampling formulas for analytic functions. In: Electronic Transactions on Numerical Analysis (ETNA), 55, 2022, 242-262.
2021R. M. Asharabi and J. Prestin: Accurate sampling formula for approximating the partial derivatives of bivariate analytic functions. In: Numerical Algorithms 86, 2021, 1421-1441
2020R. M. Asharabi and J. Prestin: Computing eigenpairs of two-parameter Sturm-Liouville systems using the bivariate sinc-Gauss formula. In: Communications on Pure and Applied Analysis 19, 2020, 4143-4158
2020R. M. Asharabi and F.M. Al-Abbas: Error analysis for regularized multidimensional sampling expansions. In: Electronic Transactions on Numerical Analysis (ETNA), 52, 2020, 320-341
2019R. M. Asharabi: Generalized bivariate Hermite-Gauss sampling. In: Computational and Applied Mathematics 38, 2019,
2019M.H. Annaby and R. M. Asharabi: Derivative sampling expansions for the linear canonical transform: convergence and error analysis‏. In: Journal of Computational Mathematics 37, 2019, 431-446
2018R. M. Asharabi and A. Al-Hayzea: Double sampling series derivatives and bounds for the truncation error. In: Applied Mathematics-A Journal of Chinese Universities, 2018, 209-224
2018M.H. Annaby and R. M. Asharabi: A sinc-Gaussian solver for general second order discontinuous problems‏. In: Japan Journal of Industrial and Applied Mathematics 35, 2018, 653-668
2018M.H. Annaby and R. M. Asharabi: Sinc-interpolants in the energy plane for regular solution, Jost function, and its zeros of quantum scattering‏. In: Journal of Mathematical Physics, 59, 2018,
2018R. M. Asharabi and M.M. Tharwat: The use of the generalized sinc-Gaussian sampling for numerically computing eigenvalues of periodic Dirac system. In: Electronic Transactions on Numerical Analysis (ETNA), 48, 2018, 373-386‏
2017R. M. Asharabi and H. S. Al-Abbas: Truncation error estimates for generalized Hermite sampling. In: Numerical Algorithms 74, 2017, 481-497
2017R. M. Asharabi and H. Al-Haddad: A bivariate sampling series involving mixed partial derivatives. In: Turkish Journal of Mathematics, 41, 2017, 387 – 403
2017R. M. Asharabi and M.M. Tharwat: Approximating eigenvalues of Dirac system with discontinuities at several points using Hermite-Gauss method. In: Numerical Algorithms 76, 2017, 655-673
2017R. M. Asharabi: Approximating eigenvalues of boundary value problems by using the Hermite-Gauss sampling method‏. In: Electronic Transactions on Numerical Analysis (ETNA), 46, 2017, 359–374
2017R. M. Asharabi and M. H. Annaby Multiband sampling theorems for Mittag-Leffler transforms bandlimited on rays‏. In: Integral Transforms and Special Functions, 28, 2017, 732-750
2016R. M. Asharabi: A Hermite-Gauss method for the approximation of eigenvalues of regular Sturm-Liouville problems. In: Journal of Inequalities and Applications, 154, 2016,
2016Mahmoud H. Annaby and Rashad M. Asharabi: Bounds for truncation and perturbation errors of nonuniform sampling series. In: BIT Numerical Mathematics , 2016, 807-832
2016Rashad M. Asharabi: Generalized sinc-Gaussian sampling involving derivatives. In: Numerical Algorithms, 2016, DOI 10.1007/s11075-016-0129-4
2016R. M. Asharabi: Generalized sinc-Gaussian sampling involving derivatives, Numer. Algorithms. In: Numeric Algorithms, 73, 2016, 1055-1072
2016Rashad M. Asharabi and Jürgen Prestin: On two-dimensional classical and Hermite sampling. In: IMA Journal of Numerical Analysis, 2016, 851-871
2015Rashad M. Asharabi and Jürgen Prestin: A Modification of Hermite sampling with a Gaussian multiplier. In: Numerical Functional Analysis and Optimization, 2015, 419-437
2015Mahmoud H. Annaby and Rashad M. Asharabi: Error estimates associated with sampling series of the linear canonical transforms. In: IMA Journal of Numerical Analysis, 2015, 931-946
2014Rashad M. Asharabi: Aliasing Error for Sampling Series Derivatives. In: SAMPLING THEORY IN SIGNAL AND IMAGE PROCESSING, 2014, 1-20
2012Mahmoud H. Annaby and Rashad M. Asharabi: Computing eigenvalues of Sturm–Liouville problems by Hermite interpolations. In: Numerical Algorithms, 2012, 355-367