Scientific Degrees:

Jun. 2008

Cairo University

Ph.D. in Mathematics

Department of Mathematics, Faculty of Science

Thesis Referees:

Professor Frank Stenger, USA, University of Utah Salt Lake City and Professor Gerhard Schmeisser, Germany, University of Erlangen-Nuremberg.

Apr. 2004

Cairo University

M. Sc. in Mathematics

Department of Mathematics, Faculty of Science

Thesis Referees:

Antonio G. Garcia, Spain, University Carlos III de Madrid and Professor Hassan M. El-Owaidy, Egypt, Al-Azhar University.

Jul. 1999

Sana'a University

B.S. in Mathematics

Department of Mathematics, Faculty of Education

My main supervisor of the M.Sc. thesis and the Ph. D. thesis was Prof. Dr. Mahmoud Annaby, Department of Mathematics, Faculty of Science, Cairo University, Egypt.

Positions Held:

Dec. 2020 - Now

Full Professor, Department of Mathematics, College of Arts & Sciences, Najran University, Saudi Arabia.

Dec. 2016 - Nov. 2020

Associate Professor, Department of Mathematics, College of Arts & Sciences, Najran University, Saudi Arabia.

Jan. 2014 - Nov. 2016

Assistant Professor, Department of Mathematics, College of Arts & Sciences, Najran University, Saudi Arabia.

Oct. 2012 - Nov. 2013

Postdoctoral from Alexander von Humboldt in the Institute of Mathematics, University of Lübeck, Germany.

Dec. 2011 - Aug. 2012

Assistant Professor, Department of Mathematics, College of Arts & Sciences, Najran University, Saudi Arabia.

Oct. 2010 - Jun. 2011

Lecturer in the University of Science and Technology, Sana'a, Yemen.

Mar. 2009 - Oct 2011.

Head of Department of Mathematics in Faculty of Education Al Mahweet, Sana'a University, Yemen.

Aug. 2008 - Oct 2011.

Assistant Professor in the Department of Mathematics, Faculty of Education, Al-Mahweet, Sana'a University, Yemen.

Sept. 2008 - Jun. 2011

Sana's University sent me to study the M.Sc. and Ph. D. degrees in the Department of Mathematics, Faculty of Science, Cairo University, Egypt.

Oct 1997 - Dec 2000

Demonstrator in Department of Mathematics, Faculty of Education Al Mahweet, Sana'a University, Yemen.

Dec. 1995 - Sept. 1997

Demonstrator in Higher Institute of Teachers, Taiz, Yemen.

List of Publications

Under review

Gaussian regularization sampling for approximating derivatives of holomorphic functions in the linear canonical transform domain

R.M. Asharabi, M.Q. Khirallah

A Gaussian regularization for higher-order derivative sampling in the linear canonical transform domain

R.M. Asharabi

A Gaussian regularization for recurrent nonuniform sampling in the linear canonical transform domain

H.M. Asharabi, H. Al-Haddad

A Gaussian regularization for recurrent nonuniform sampling in the linear canonical transform domain

2024

Accelerating the convergence of a two dimensional periodic nonuniform sampling series through the incorporation of a bivariate Gaussian multiplier.

R. M. Asharabi and S.M. Alhazmi

AIMS Mathematics, 9, (2024), 30898-30921.

A modification of the periodic nonuniform sampling involving derivatives with a Gaussian multiplier

R.M. Asharabi, M.Q. Khirallah

Calcolo, 61, (2024), 58.

Multivariate form of Hermite sampling series.

R.M. Asharabi

Applied Mathematics-A Journal of Chinese Universities, 39, (2024), 253-265.

A multidimensional Hermite-Gauss sampling formula for analytic functions of several variables.

R.M. Asharabi, F.H. Al-Haddad

Numerical Algorithms, 96, (2024), 105-134.

Hyperstability for a Generalized Class of Pexiderized Functional Equations on Monoids via Páles' Approach

R.M. Asharabi, M Almahalebi

Mathematics,12, , (2024), 838.

2023

Multivariate form of Hermite sampling series

R. M. Asharabi

Appl. Math. J. Chinese Univ., (2023).

Periodic nonuniform sinc-Gauss sampling

R. M. Asharabi

Filomat, (2023), 37, 279-292.

2022

On multidimensional sinc-Gauss sampling formulas for analytic functions

R. M. Asharabi, F. H. Al-Haddad

Electron. Trans. Numer. Anal. (2022) 55, 242-262.

2021

An Overview of the Computation of the Eigenvalues Using Sinc-Methods

M.H. Annaby, R. M. Asharabi and M.M. Tharwat

New Sinc Methods of Numerical Analysis: Festschrift in Honor of Frank Stenger's 80th Birthday, (2021), 255-298, Springer

Sinc-Gaussian Approach for Solving the Inverse Heat Conduction Problem

M.H. Annaby, R. M. Asharabi

New Sinc Methods of Numerical Analysis: Festschrift in Honor of Frank Stenger's 80th Birthday, (2021), 3-21, Springer

Accurate sampling formula for approximating the partial derivatives of bivariate analytic functions

R. M. Asharabi and J. Prestin

Numer. Algorithm, (2021), 86, 1421-1441.

2020

Computing eigenpairs of two-parameter Sturm-Liouville systems using the bivariate sinc-Gauss formula

R. M. Asharabi and J. Prestin

Comm. Pure Appl. Anal., (2020), 19, 4143-4158.

Error analysis for regularized multidimensional sampling expansions

R. M. Asharabi and F.M. Al-Abbas

Electron. Trans. Numer. Anal. (2020), 52, 320-341.

2019

Generalized bivariate Hermite-Gauss sampling

R. M. Asharabi

Comput. Appl. Math., (2019), 38: 29 DOI:10.1007/s40314-019-0802-z

Derivative sampling expansions for the linear canonical transform: convergence and error analysis

M.H. Annaby and R. M. Asharabi

J. Comput. Math., (2019) 37, 431-446.

2018

Sinc-interpolants in the energy plane for regular solution, Jost function, and its zeros of quantum scattering

M.H. Annaby and R. M. Asharabi

J. Math. Phys., (2018), 59, 013502.

Double sampling series derivatives and bounds for the truncation error

R.M. Asharabi and A. Al-Hayzea

Appl. Math. J. Chinese Univ. (2018), 33, 209-224.

A sinc-Gaussian solver for general second order discontinuous problems

M.H. Annaby and R. M. Asharabi

Japan J. Indust. Appl. Math., (2018) 35:653-668.

The use of the generalized sinc-Gaussian sampling for numerically computing eigenvalues of periodic Dirac system

R. M. Asharabi and M.M. Tharwat

Electron. Trans. Numer. Anal., (2018), 48, 373-386.

2017

Approximating eigenvalues of Dirac system with discontinuities at several points using Hermite-Gauss method

R. M. Asharabi and M.M. Tharwat

Numer. Algorithms., (2017), 76, 655-673

A bivariate sampling series involving mixed partial derivatives

R. M. Asharabi and H. Al-Haddad

Turk. J. Math., (2017), 41, 387-403.

Truncation error estimates for generalized Hermite sampling

R. M. Asharabi and H. S. Al-Abbas

Numer. Algor., (2017),74, 481-497.

Multiband sampling theorems for Mittag-Leffler transforms bandlimited on rays

M.H. Annaby and R. M. Asharabi

Integral Transforms Spec. Funct., (2017), 28, 732-750.

Approximating eigenvalues of boundary value problems by using the Hermite-Gauss sampling method

R. M. Asharabi

Electron. Trans. Numer. Anal., (2017), 46, 359-374

2016

generalized sinc-Gaussian sampling involving derivatives

R. M. Asharabi

Numer. Algorithms, (2016), 73, 1055-1072

Bounds for truncation and perturbation errors of a nonuniform sampling series

M.H. Annaby and R. M. Asharabi

BIT Numer. Math. (2016), 56, 807-832.

On two-dimensional classical and Hermite sampling

R. M. Asharabi and J. Prestin

IMA J. Numer. Anal. (2016). 36, 851-871.

A Hermite-Gauss method for the approximation of eigenvalues of regular Sturm-Liouville problems

R. M. Asharabi

J. Inequal. Appl. 2016, (2016), 154. doi: 10.1186/s13660-016-1098-9

2015

A modification of Hermite sampling with a Gaussian multiplier

R. M. Asharabi and J. Prestin

Numer. Funct. Anal. Optim. 36, (2015), 419-437.

Error estimates associated with sampling series of the linear canonical transforms

M.H. Annaby and R. M. Asharabi

IMA J. Numer. Anal. 35, (2015), 931-946.

2014

Aliasing error for sampling series derivatives

R. M. Asharabi

Sampl. Theory Signal Image Process. 13 (2014), 1-20.

2012

Computing eigenvalues of Sturm-Liouville problems by Hermite interpolations

M.H. Annaby and R. M. Asharabi

Numer. Algorithms, 60 (2012), no. 3, 355-367.

2011

Exact evaluations of trigonometric sums by sampling theorems

M.H. Annaby and R. M. Asharabi

Acta Mathematica Scientia, 31B, (2011), No.2, 408-418.

Truncation, amplitude, and jitter errors on R for sampling series derivatives

M.H. Annaby and R. M. Asharabi

J.Aprox. Theory, 163, (2011), 336-362.

2010

Error analysis associated with uniform Hermite interpolations of band limited functions

M.H. Annaby and R. M. Asharabi

J. Korean Math. Soc. 47 (2010), No.6, 1299-1316.

2008

Approximating eigenvalues of discontinuous problems by sampling theorems

M.H. Annaby and R. M. Asharabi

J. Numer. Math. 16 (2008), no. 3, 163-183.

Computing eigenvalues of boundary-value problems using sinc-Gaussian method

M.H. Annaby and R. M. Asharabi

Sampl. Theory Signal Image Process. 7 (2008), no. 3, 293-311.

On sinc-based method in computing eigenvalues of boundary-value problems

M.H. Annaby and R. M. Asharabi

SIAM J. Numer. Anal. 46 (2008), no. 2, 671-690.

Spectral and sampling theorems

M. H. Abu-Risha, M.H. Annaby and R. M. Asharabi

Sampl. Theory Signal Image Process. 2 (2008), 145-164.

Research Interests:

Sampling Theory
Sinc Methods
Error analysis associated with sampling series
Computing eigenvalues of boundary value problems
Trigonometric sums
Accelerating the convergence of sampling series

Editorial Experience:

I am working as an academic editor at: Mathematical Problems in Engineering, Hindawi

Referee Experience:

Served as a referee for numerous international journals, including:

Mathematical Reviews (AMS)

zbMATH

Applied Mathematics and Computation

Boundary Value Problems

Sampling Theory, Signal Processing, and Data Analysis (STSIPDA)

Annals of Functional Analysis

Filomat

Mathematical Problems in Engineering

Journal of Approximation Theory

Banach Journal of Mathematical Analysis

Electronic Transactions on Numerical Analysis (ETNA)

Fellowships and Visits

Jun. 1, 2019 - Aug. 31, 2019

Renewed Research Stay in Germany from Alexander von Humboldt foundation in Germany, University of Lübeck.

Jul 1, 2017 - Sep 31, 2017

Renewed Research Stay in Germany from Alexander von Humboldt Foundation in Germany, University of Lübeck.

Jan 1, 2014 - Dec 31, 2014

Return fellowship from Alexander von Humboldt in Germany.

Oct 1, 2012 - Nov 30, 2013

Postdoctoral fellowship from Alexander von Humboldt in Germany (Georg Forster Research Fellowships for Postdoctoral Researcher). The host professor was Prof. Jürgen Prestin, Institute of Mathematics, Lübeck University, Germany.

Jul 1, 2011 - Sep 31, 2011

Research fellowship from Alexander von Humboldt Foundation (European-Islamic Cultural Dialog), Institute of Mathematics, University of Lübeck, Germany.

Conferences

1^st - 6^th Sep 2021

Scientific Research week in the Era of Digital Transformation, Arabic Researcher ID (ARID), Malaysia, Online Event.

4^th - 5^th Jul 2021

International Congress of Advanced Technology and Engineering (ICOTEN), an online conference.

24^th – 30^th Jul 2020

Advanced Scientific Research Week, Arabic Researcher ID (ARID) Malaysia, an Online Event.

19^th – 23^rd Aug 2019

Workshop: Modeling, interpolation, and approximation for waves and signals in Lübeck, Germany

25^th – 28^th Jun 2019

Annual Meeting of the Alexander von Humboldt Foundation in Berlin, Germany.

10^th – 13^th Apr 2019

International Exhibition and Conference on Higher Education in Riyadh, Saudi Arabia.

4^th – 6^th Dec 2018

International Conference on Education Evaluation (ICEE 2018) in Riyadh, Saudi Arabia.

4^th – 5^th Apr 2018

Conference of Graduate Studies in Saudi Universities- Reality and development prospects in King Khaled University, Abha, Saudi Arabia

31^st Jul – 4^th Aug 2017

Summer School "Modeling, Analysis, and Approximation Theory toward applications in tomography and inverse problems" in the University of Lübeck, Germany.

11^th – 13^th Oct 2015

The 2nd Saudi International Conference on Scientific Publishing, King Saud University, Riyadh, Saudi Arabia.

1^st – 5^th Jul 2013

10th International Conference on Sampling Theory and Applications (SampTA) in Bremen, Germany.

28^th – 30^th Nov 2012

Network Meeting of the Alexander von Humboldt Foundation in Karlsruhe, Germany.

27^th – 29^th Jun 2011

Annual Meeting of the Alexander von Humboldt Foundation in Berlin, Germany

3^rd – 6^th Jan 2006

The International Conference on Mathematical Analysis and its Applications, ICMAA06 in Asyut, Egypt.

2005, 2006, 2007

Annual one day analysis conference, Cairo University, Egypt.

Skills & Certifications

TOEFL (Cairo University)

ICDL (UNESCO, 2003)

SPSS (Institute of Statistics, Cairo)

Blackboard LMS (Proficient User)

Wolfram Mathematica (Expert User)

LaTeX (Expert User)

Supervision Experience

Student	Title	University	Degree	Period
Zamlah ALhamami	Accelerating the Convergence of Multidimensional Sampling Expansions in the Linear Canonical Transform Domain	Najran, KSA	M. Sc.	2024 - now
Somaia Alhazmi	Gaussian Regularized Two-Dimensional Periodic Nonuniform Sampling Series	Najran, KSA	M. Sc.	2023 - now
Felwah Al-haddad	A Modification of Multidimensional Sampling with a Gaussian Multiplier	Najran, KSA	M. Sc.	2019 - 2021
Fatemah Al-Abbas	On Regularized Multidimensional Sampling Expansions	Najran, KSA	M. Sc.	2018 - 2020
Hanan Al-Abbas	Error Analysis on Complex Domain for Generalized Hermite Sampling Expansion	Najran, KSA	M. Sc.	2015 - 2016
Aisha Al-Hayzea	On Two-Dimensional Sampling Series	Najran, KSA	M. Sc.	2015 - 2016

University Committees

Vice Chairman of the Committee for Developing the Master's Program in Mathematics, October 2024 - Present

Vice Chairman of the Committee for Establishing the Mathematical Sciences Program - Track System, October 2023 - August 2024

Member of the Research, development and innovation unit at Najran University, October 2023 - Present.

Head of the MSc Mathematical Program Development Committee, October 2021 - September 2022.

Member of the council of SERC (Scientific and Engineering Research Center) at Najran University, April 2019- April 2021

Coordinator of the postgraduate studies in College of Arts & Sciences, Najran University, November 2015 - Present

Member of the Academic Advising Unit, College Arts & Sciences, Najran University January 2014 - September 2021

Member of the Quality Unit, Department of Mathematics, Najran University, January 2014 - Present

Thesis Examination Committees

Type	Student	Title	University	Date
External Member	Mymonah Alharbi	Behavior of Solutions of Dynamic and Integro-Dynamic Equations on Time Scales	Jeddah, KSA	17-2-2022
Internal Member	Felwah Al-haddad	A Modification of Multidimensional Sampling with a Gaussian Multiplier	Najran, KSA	17-2-2022
External Member	Alaa Aljehani	Stability of Dynamic and Integro-Dynamic Equations on Time Scales	Jeddah, KSA	8 - 4 - 2021
Internal Member	Fatemah Al-Abbas	On Regularized Multidimensional Sampling Expansions	Najran, KSA	11 - 4 - 2021
Internal Member	Hanan Al-Abbas	Error Analysis on Complex Domain for Generalized Hermite Sampling Expansion	Najran, KSA	19 - 1 - 2017
Internal Member	Aisha Al-Hayzea	On Two-Dimensional Sampling Series	Najran, KSA	19 - 1 - 2017

Teaching Experience

Undergraduate courses	Postgraduate courses
Real Analysis (1), (2) Functional Analysis Complex Analysis Mathematical Analysis Numerical Analysis (1), (2) Calculus (1), (2), (3) Ordinary Differential Equations (1), (2) Partial Differential Equations Probability Theory	Advanced Functional Analysis Advanced Complex Analysis Selected Topics in Analysis Analysis

Undergraduate courses

Postgraduate courses

Real Analysis (1), (2)

Functional Analysis

Complex Analysis

Mathematical Analysis

Numerical Analysis (1), (2)

Calculus (1), (2), (3)

Ordinary Differential Equations (1), (2)

Partial Differential Equations

Probability Theory

Advanced Functional Analysis

Advanced Complex Analysis

Selected Topics in Analysis

Analysis

Reference

Professor Mahmoud H. Annaby

Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt

mhannaby@yahoo.com Google Scholar

Professor Jürgen Prestin

Institute of Mathematics, University of Lübeck, Lübeck, Germany

prestin@math.uni-luebeck.de Google Scholar