Rashad M. Asharabi

Professor

Department of Mathematics 
College of Arts and Sciences

Specialized in Mathematical Analysis with an interest in one and multi-dimensional sampling series in the complex plane, with applications in approximation. 


Qualifications

-Ph. D. in Pure Mathematics,  Cairo University, Egypt,  2008.
-M. Sc. in Pure Mathematics,  Cairo University, Egypt,  2004.
-B.Sc. in Mathematics,  Sana’a University, Yemen, 1995.

Experiences

Academic Experiences
-Full Professor, Department of Mathematics, College of Arts & Sciences, Najran University, Dec 2020 up to Now.
-Associate Professor, Department of Mathematics, College of Arts & Sciences, Najran University, Dec 2016 -Nov 2020. 
-Assistant Professor, Department of Mathematics, College of Arts & Sciences, Najran University, Jan 2014 -Nov 2016. 
-Postdoctoral Researcher,  Institute of Mathematics, University of Lübeck, Germany, Oct 2012 -Nov 2013.
-Assistant Professor,  Department of Mathematics, Faculty of Education, Al-Mahweet, Sana'a University, Yemen, Aug 2008 -Oct 2011. 

Administration Experiences 
-Head of the M.Sc Mathematical Program Development Committee, October 2021 up to now.
-Coordinator of postgraduate studies at the College of Arts & Sciences, Najran University, November 2015 up to now.
-Member of the Postgraduate Programs Unit,  Najran University, Najran University, November 2015-November 2019.
-Member of the council of SERC (Scientific and Engineering Research Center), Najran University, April 2019 April 2021.
-Member of the Academic Advising Unit, College Arts & Sciences, Najran University, January 2014 up to now.
-Member of the Quality Unit, Department of Mathematics, Najran University, January 2014 up to now.
-Head of Department of Mathematics in Faculty of Education Al-Mahweet, Sana'a University, Yemen, Mar 2009- Oct 2011. 

Specialties and Skills

-Refereeing and editing scientific manuscripts for mathematical journals. 
-Supervising scientific theses. 
-Lecturer on higher education issues such as:-
                 
1-Postgraduate programs,  launching,  development,  and organization procedures.
                 
2-Promotion criteria and procedures in universities. 
                 
3-World university rankings. 

-Teaching through e-learing systems like Blackboard efficiently (2015 - up to now).
-Using the Mathematica program efficiently (2003 –up to now).

-Using the Latex program efficiently (2001 – up to now).

Training Courses

Scientific publishing
-International scientific research reviewing skills, Saudi Digital Library, 3/20/2018.
-Scientific quotations and thefts, Saudi Digital Library, 10/13/2018.
-Establishing refereed Journals in the digital environment, Saudi Digital Library, 2/18/2019.
-The publishing industry in the Arabic Universities,   Arabic Union Catalog, 10/11/2020.
-The future of free access and educational and research materials in the Arabic World, Arabic Union Catalog, 10/27/2020.
- Writing professional review reports for scientific articles, Saudi Digital Library, 9/13/2021
E-learning
-The skills of electronic content building in the Blackboard, Deanship of E-Learning, King Khalid University, 6/9/2020.
-Detection of plagiarism in assignments and research, Deanship of E-Learning, Najran University, 6/21/2021. 
-Application of quality standards in the design of electronic courses, Deanship of E-Learning, Najran University, 6/28/2021.
Quality and Academic Accreditation 
-Effective leadership skills in educational institutions, Education & Training Evaluation Commission, 5/12/2018.
-The system for preparing study plans at Najran University, Deanship of Development and Quality - Najran University, 14/1/2019.
-Standards for quality assurance and accreditation for postgraduate programs and the requirements for achieving them, Deanship of Development and Quality - Najran University, 4-5/2/2019.
-Quality assurance standards and academic accreditation, Deanship of Development and Quality - Najran University, 10/27 to 11/2/2020.
-Academic quality practitioner, Education & Training Evaluation Commission, 5-8/12/2020.

 

List of Publications

   
 

, 2022
A modification of the periodic nonuniform sampling involving derivatives with a Gaussian multiplier
RM Asharabi,  MQ Khirallah
Calcolo 61 (4), 58, 2021





 
2024
  Multivariate form of Hermite sampling series
RM Asharabi
Applied Mathematics-A Journal of Chinese Universities 39 (2), 253-265, 2021





 
2024
  A multidimensional Hermite-Gauss sampling formula for analytic functions of several variables
RM Asharabi, FH Al-Haddad
Numerical Algorithms 96 (1), 105-134‏, 2021
  2024
  Hyperstability for a Generalized Class of Pexiderized Functional Equations on Monoids via P?les’ Approach
RM Asharabi,  M Almahalebi

Mathematics 12 (6), 838‏, 2021
  2024
  Periodic nonuniform sinc-Gauss sampling
RM Asharabi
Filomat 37 (1), 279–292, 2020
  2023
  On multidimensional sinc-Gauss sampling formulas for analytic functions
RM Asharabi,  FH Al-Haddad
Electronic Transactions on Numerical Analysis 55, 242-262, 2020
  2022

, 2022
                                               
  An Overview of the Computation of the Eigenvalues Using Sinc-Methods
MH Annaby, RM Asharabi, MM Tharwat
New Sinc Methods of Numerical Analysis: Festschrift in Honor of Frank …, 2021





 
2021
  Sinc-Gaussian Approach for Solving the Inverse Heat Conduction Problem
MH Annaby, RM Asharabi
New Sinc Methods of Numerical Analysis: Festschrift in Honor of Frank …, 2021
  2021
  Accurate sampling formula for approximating the partial derivatives of bivariate analytic functions
RM Asharabi, J Prestin
Numerical Algorithms 86 (4), 1421-1441, 2021
  2021
  Error analysis for regularized multidimensional sampling expansions
RM Asharabi, FM Al-Abbas
Electronic Transactions on Numerical Analysis 52, 320-341, 2020
  2020
  Computing eigenpairs of two-parameter Sturm-Liouville systems using the bivariate sinc-Gauss formula
RM Asharabi, J Prestin
Communications on Pure & Applied Analysis 19 (8), 4143-4158, 2020
  2020
  Generalized bivariate Hermite–Gauss sampling
RM Asharabi
Computational and Applied Mathematics 38 (2), 1-21, 2019
  2019
  The use of the sinc-Gaussian sampling formula for approximating the derivatives of analytic functions
RM Asharabi
Numerical Algorithms 81 (1), 293-312, 2019
  2019
  Derivative sampling expansions for the linear canonical transform: convergence and error analysis
MH Annaby, RM Asharabi
Journal of Computational Mathematics 37 (3), 431-446, 2019
  2019
  A sinc-Gaussian solver for general second order discontinuous problems
MH Annaby, RM Asharabi
Japan Journal of Industrial and Applied Mathematics 35 (2), 653-668, 2018
  2018
  Double sampling derivatives and truncation error estimates
RM Asharabi, AM Al-Hayzea
Applied Mathematics-A Journal of Chinese Universities 33 (2), 209-224, 2018
  2018
  Sinc-interpolants in the energy plane for regular solution, Jost function, and its zeros of quantum scattering
MH Annaby, RM Asharabi
Journal of Mathematical Physics 59 (1), 013502, 2018
  2018
  The use of the generalized sinc-Gaussian sampling for numerically computing eigenvalues of periodic Dirac system
RM Asharabi, MM Tharwat
Electronic Transactions on Numerical Analysis 48, 373-386, 2018
  2018
  Approximating eigenvalues of Dirac system with discontinuities at several points using Hermite-Gauss method
RM Asharabi, MM Tharwat
Numerical Algorithms 76 (3), 655-673, 2017
  2017
  Multiband sampling theorems for Mittag-Leffler transforms bandlimited on rays
MH Annaby, RM Asharabi
Integral Transforms and Special Functions 28 (10), 732-750, 2017
  2017
  Approximating eigenvalues of boundary value problems by using the Hermite-Gauss sampling method
RM Asharabi
Electronic Transactions on Numerical Analysis 46, 359–374, 2017
  2017
  Truncation error estimates for generalized Hermite sampling
RM Asharabi, HS Al-Abbas
Numerical Algorithms 74 (2), 481–497, 2017
  2017
  A bivariate sampling series involving mixed partial derivatives
RM Asharabi, HA Al-Haddad
Turkish Journal of Mathematics 41, 387 – 403, 2017
  2017
  A Hermite-Gauss method for the approximation of eigenvalues of regular Sturm-Liouville problems
RM Asharabi
Journal of Inequalities and Applications 2016 (1), 1-10, 2016
  2016
  Generalized sinc-Gaussian sampling involving derivatives
RM Asharabi
Numerical Algorithms 73 (4), 1055-1072, 2016
  2016
  Bounds for truncation and perturbation errors of nonuniform sampling series
MH Annaby, RM Asharabi
BIT Numerical Mathematics 56 (3), 807-832, 2016
  2016
  On two-dimensional classical and Hermite sampling
RM Asharabi, J Prestin
IMA Journal of Numerical Analysis 36 (2), 851-871, 2016
  2016
  A modification of Hermite sampling with a Gaussian multiplier
RM Asharabi, J Prestin
Numerical Functional Analysis and Optimization 36 (4), 419-437, 2015
  2015
  Error estimates associated with sampling series of the linear canonical transforms
MH Annaby, RM Asharabi
IMA Journal of Numerical Analysis 35 (2), 931-946, 2015
  2015
  Aliasing error for sampling series derivatives
RM Asharabi
Sampling Theory in Signal and Image Processing 13 (1), 1-20, 2014
  2014
  Computing eigenvalues of Sturm–Liouville problems by Hermite interpolations
MH Annaby, RM Asharabi
Numerical Algorithms 60 (3), 355-367, 2012
  2012
  Exact evaluations of finite trigonometric sums by sampling theorems
MH Annaby, RM Asharabi
Acta Mathematica Scientia 31 (2), 408-418, 2011
  2011
  Truncation, amplitude, and jitter errors on R for sampling series derivatives
MH Annaby, RM Asharabi
Journal of Approximation Theory 163 (3), 336-362, 2011
  2011
  Error analysis associated with uniform Hermite interpolations of bandlimited functions
MH Annaby, RM Asharabi
Journal of the Korean Mathematical Society 47 (6), 1299-1316, 2010
  2010
  Approximating eigenvalues of discontinuous problems by sampling theorems
MH Annaby, RM Asharabi
Walter de Gruyter GmbH & Co. KG 16 (3), 163-183, 2008
  2008
  Computing eigenvalues of boundary-value problems using sinc-Gaussian method
MH Annaby, RM Asharabi
Sampling Theory in Signal and Image Processing 7 (3), 293-311, 2008
  2008
  On sinc-based method in computing eigenvalues of boundary-value problems
MH Annaby, RM Asharabi
SIAM journal on numerical analysis 46 (2), 671-690, 2008
  2008
       

Postgraduate Courses

-Advanced Functional Analysis (Najran University)
-Advanced Complex Analysis (Najran University)
-Selected Topics in Analysis (Najran University)

Undergraduate Courses

-Functional Analysis  (Najran University)
-Real Analysis (1), (2) (Najran University, Sana'a University)
-Complex Analysis  (Najran University, Sana'a University)
-Mathematical Analysis  ( Sana'a University)
-Numerical Analysis (1), (2) (Najran University, Sana'a University)
-Ordinary Differential Equations (1), (2) (Sana'a University)
-Partial Differential Equations (Najran University)
-Probability Theory (Najran University)
-History of Mathematics  (Najran University)
-
Probability and Engineering Statistics   (Najran University)
-Linear Algebra (Najran University )
-Analytic Geometry (Najran University, Sana'a University)
-Calculus (1), (2), (3) (Sana'a University)
 

 

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