Home \ Faculty Details \ RACHID AIT HADDOU
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  • Phone:

    9240

  • Email:

    raithaddou@pmu.edu.sa

  • Office No:

    F114

  • RACHID AIT HADDOU

  • Job Title :

    Full Professor

  • College :

    College of Sciences and Human Studies


  • Department :

    Mathematics & Natural Sciences


Dr. Rachid Ait Haddou joins PMU as a Professor in Mathematics and Natural Sciences. He holds a Ph.D. in Applied Mathematics from Joseph Fourier University, Grenoble, France, and a Master’s in Applied Mathematics from the same university.

With over 28 years of teaching and research experience, Dr. Rachid Ait Haddou areas of expertise include computational mathematics, numerical analysis, approximation theory and computer aided geometric design. His teaching philosophy centers on creating a learner-focused environment in which students are actively engaged and empowered to build their own understanding of mathematical concepts.

Dr. Ait Haddou has published extensively in top-tier journal, with over 60 peer-reviewed articles in computational mathematics, numerical analysis and computational geometry. His research interests also include deep learning, and modeling of physical and biological systems.

He is committed to advancing PMU’s mission of excellence in education, research and community engagement; while contributing to Saudi Arabia’s growing technology sector through innovative partnerships and the mentorship of future talent.

1992 - 1996: Doctor of Philosophy (Ph.D.) in Applied Mathematics, Joseph Fourier University, Grenoble 1, France

1991 - 1992: Master of Science (M.Sc.) in in Applied Mathematics, Joseph Fourier University, Grenoble 1, France

1988 - 1991: Bachelor of Science (B. Sc.) in Applied Mathematics, Mohammed V University, Rabat, Morocco

 

Journal Articles

  • R. Ait-Haddou and H. Altamimi, Optimal threshold factors of linear exponential integrators, Numerical Algorithms (To appear) (2025).
  • R. Ait-Haddou and A. Alshehaiween, Stabilization of linearly implicit schemes for dissipative systems with quartic potentials, Results in Applied Mathematics 28 (2025).
  • M.R. Ishka, H. Sussman, Y. Hu, M. D. Alqahtani, E. Craft, R. Sicat, M. L. A. Wang, L.A. Yu, R. Ait-Haddou, B. Li, G. Drakakaki, A. Nelson, M. Pineros, A. Korte, K., L. Jaremko ,Ch. Testerink, M. Tester, M. Julkowska, Natural variation in salt-induced changes in root: shoot ratio reveals SR3G as a negative regulator of root suberization and salt resilience in Arabidopsis. eLife, 13:RP98896. (2025).
  • R. Ait-Haddou and M.-L. Mazure. De Casteljau’s geometric approach to geometric design still alive. Computer Aided Geometric Design, 102378 (2024).
  • R. Ait-Haddou and H. Alselami. The Stenger conjectures and the A-stability of collocation Runge-Kutta methods. Journal of Inequalities and Applications, (1), 107 (2023).
  • R. Ait-Haddou and H. Ruhland. Asymptotically optimal quadrature rules for uniform splines over the real line. Numerical Algorithms, 86(30), 1189-1223 (2021).
  • R. Ait-Haddou and M.-L. Mazure. Blossoming and Hermite-Pade approximation for hypergeometric series. Numerical Algorithms, 88, 1183–1214 (2021).
  • R. Ait-Haddou, R. Goldman and M.-L. Mazure. Quantum Lorentz degrees of polynomials and a Polya theorem for polynomials positive on q-lattices. Applied Numerical Mathematics, 165, 553–577 (2021).
  • R. Ait-Haddou, Computation of Optimal Linear Strong Stability Preserving Methods Via Adaptive Spectral Transformations of Poisson–Charlier Measures. Journal of Scientific Computing, 88(3), 66 (2021).
  • R. Ait-Haddou, C.V. Beccari and M.-L. Mazure, Interpolation of G1 Hermite data by C1 cubic-like sparse Pythagorean hodograph splines. Computer Aided Geometric Design, 79, 101838 (2020).
  • R. Ait-Haddou, M.-L. Mazure and H Ruhland, A remarkable Wronskian with application to critical lengths of cycloidal spaces. Calcolo, 56 (4), 45 (2019).
  • R. Ait-Haddou. New stability results for explicit Runge–Kutta methods. BIT Numerical Mathematics. 59 (3) (2019).
  • R. Ait-Haddou and M.-L. Mazure. The fundamental blossoming inequality in Chebyshev spaces—I: applications to Schur functions. Foundations of Computational Mathematics. 18 (1) (2018).
  • R. Ait-Haddou, M.-L Mazure and H. Render. Nested sequences of rational spaces: Bernstein approximation, dimension elevation, and Polya-type theorems on positive polynomials. Journal of Approximation Theory, 234 (2018).
  • R. Ait-Haddou, D. Furihata and M.-L Mazure. The Hyers–Ulam stability constant for Chebyshevian Bernstein operators. Journal of Mathematical Analysis and Applications, 463 (2) (2018).
  • R. Ait-Haddou and M.L. Mazure. Sparse Pythagorean hodograph curves. Computer Aided Geometric Design, vol 55, pp 84-103 (2017).
  • R. Ait-Haddou. q-Blossoming and Hermite-Pade approximants to the q-exponential function. Numerical Algorithms, vol 76, Issue 1, pp 53–66 (2017).
  • M. Barton, R. Ait-Haddou and V. Calo. Gaussian quadrature rules for C1-quintic splines. Journal of Computational and Applied Mathematics, vol 322, pp 57-70 (2017).
  • R. Ait-Haddou, M.-L. Mazure. Approximation by Chebyshevian Bernstein operators versus convergence of dimension elevation. Constructive Approximation, vol 43, pp 425-461 (2016).
  • R. Ait-Haddou. Continuous and discrete best polynomial degree reduction with Jacobi and Hahn weights. Journal of Approximation Theory, vol 207, pp 165-176 (2016).
  • R. Ait-Haddou and M. Barton, Constrained multi-degree reduction with respect to Jacobi norms. Computer Aided Geometric Design, vol 42, pp 23-30 (2016).
  • R. Ait-Haddou. Polynomial degree reduction in the discrete L2-norm equals best Euclidean approximation of h-Bezier coefficients. BIT Numerical Mathematics, vol 56, pp 1-14 (2016).
  • R. Ait-Haddou. On the Lorentz degree of a product of polynomials. Journal of Approximation Theory, vol 189, pp 81—87 (2015).
  • R. Ait-Haddou and R. Goldman. Best polynomial degree reduction on q-lattices with applications to q-orthogonal polynomials. Applied Mathematics and Computation, vol 266, pp 267-276 (2015).
  • L. Zhong, R. Ait-Haddou and L. Biard. Pythagorean hodograph spline spirals that match G3 Hermite data from circles. Journal of Computational and Applied Mathematics, vol 278, pp 162-180 (2015).
  • R. Ait-Haddou, M. Barton, and V. M. Calo. Explicit Gaussian quadrature rules for C1 cubic splines with symmetrically stretched knot sequences. Journal of Computational and Applied Mathematics, vol 290, pp 543-552 (2015).
  • R. Ait-Haddou. Dimension elevation in Muntz spaces: A new emergence of the Muntz condition. Journal of Approximation Theory, vol 181, pp 6-17 (2014).
  • R. Ait-Haddou and M.-L. Mazure. Approximation by Muntz spaces on positive intervals. Comptes Rendus Mathematiques. vol 351, no 21-22, pp 849-852 (2013).
  • R. Ait-Haddou, Y. Sakane and T. Nomura. Chebyshev blossoming in Muntz spaces: toward shaping with Young diagrams. Journal of Computational and Applied Mathematics, vol 247, no. 1, pp 172-208 (2013).
  • R. Ait-Haddou, Y. Sakane and T. Nomura. A Muntz type theorem for a family of corner cutting schemes. Computer Aided Geometric Design, vol 30, no 2, pp 240-253 (2013).
  • R. Ait-Haddou, Y. Sakane and T. Nomura. Gelfond-Bezier curves. Computer Aided Geometric Design, vol 30, no 2, pp 199-225 (2013).
  • A. Jinha, R. Ait-Haddou, W. Herzog and M. Kaya. In response to Andersen, Rasmussen and Damsgaard comments. Journal of Theoretical Biology, vol 306 , pp 145 (2012).
  • R. Ait-Haddou and T. Nomura. Complex Bezier curves and the geometry of polynomials. Lecture Note in Computer Sciences 6920, J.-D. Boissonnat et al. Eds.: Curves and Surfaces, Springer-Verlag Berlin Heidelberg, pp 43-65 (2012).
  • R. Ait-Haddou, Y. Kurachi and T. Nomura. From Cellular and Medical Images to Bio-simulations: MedMod Software, BPES 2009, Biomedical Engineering Symposium, Tohoku University, pp 20-24 (2009).
  • R. Ait-Haddou, W. Herzog and T. Nomura. Complex Bezier curves and the geometry of polygons. Computer Aided Geometric Design, vol 27, no. 7, pp 525-537 (2010).
  • R. Ait-Haddou, T. Nomura and L. Biard. A refinement of the variation diminishing property of Bezier curves. Computer Aided Geometric Design, vol 27, no. 2, pp 202-211 (2010).
  • R. Ait-Haddou, Y. Kurachi and T. Nomura. On calcium buffer dynamics within the excess buffer regime. Journal of Theoretical Biology, vol 264, no. 1, pp 55-65 (2010).
  • A. Grillo, A. Jinha, S. Federico, R. Ait-Haddou, W. Herzog, and G. Giaquinta. Corrigendum: Directed transport of Brownian particles in a changing temperature field. Journal of Physics A: Math. Theor, vol 43, 229801 (2010).
  • A. Jinha, R. Ait-Haddou, M. Kaya and W. Herzog. A task-specific validation of homogeneous non-linear optimisation approaches. Journal of Theoretical Biology, vol 25, 9, no 4, pp 695-700 (2009).
  • R. Ait-Haddou, W. Herzog and L. Biard. Pythagorean-hodograph ovals of constant width. Computer Aided Geometric Design, vol 24, no. 4-5, pp 258-273 (2008).
  • A. Grillo, A. Jinha, S. Federico, R. Ait-Haddou, W. Herzog and G. Giaquinta. Directed transport of Brownian particles in a changing temperature field. Journal of Physics A: Math. Theor. vol 41, 015002, pp 1-26 (2008).
  • T. Kawazu, S. Murakami, S. Adachi-Akahane, I. Findlay, R. Ait-Haddou, Y. Kurachi and T. Nomura. Microstructure-Based Monte Carlo Simulation of Ca2+ Dynamics Evoking Cardiac Calcium Channel Inactivation. Journal of Physiological Sciences, vol 58, no. 7, 471-480 (2008).
  • A. Jinha, R. Ait-Haddou and W. Herzog, Predictions of co-contraction depend critically on degree-of-freedom in the muskuloskeletal model. Journal of Biomechanics, vol 39, no.6, pp 1145-1152 (2006).
  • R. Ait-Haddou, A. Jinha, P. Binding and W. Herzog. Antagonistic activity of one-joint muscles in three dimensions using non-linear optimization. Mathematical Biosciences, vol 202, no. 1, pp 57-70 (2006).
  • R. Ait-Haddou, A. Jinha, W. Herzog and P. Binding. Analysis of the force-sharing problem using an optimization model. Mathematical Biosciences, vol 191, pp 111-122 (2004).
  • R. Ait-Haddou and W. Herzog. Brownian ratchet models of molecular motors. Cell Biochemistry and Biophysics, vol 38, no. 2, pp 191-213 (2003).
  • R. Ait-Haddou and W. Herzog. Force and motion generation of myosin motors: muscle contraction. Journal of Electromyography and Kinesiology, vol 12, no 6, pp 435-445 (2002).
  • W. Herzog and R. Ait-Haddou. Considerations on muscle contraction. Journal of Electromyography and Kinesiology, vol 12, no 6, pp 425-433 (2002).
  • R. Ait-Haddou, R. Jinha, and W. Herzog. Sensitivity analysis and analytical solutions for the Crowninshield and Brand distribution problem for quadratic function. Journal of Biomechanics, vol 35, no 10, 1433-1435 (2002).
  • R. Ait-Haddou and W. Herzog. Convex subdivision of a Bezier curve. Computer Aided Geometric Design, vol 19, no 8, 663-671 (2002).
  • R. Ait-Haddou, L. Biard and M. Slawinski. Minimizing blossoms under symmetric linear constraints. Computer Aided Geometric Design, vol 19, no 6, pp 421-431 (2002).
  • R. Ait-Haddou, P. Binding, and W. Herzog. Comment on: Theoretical considerations on cocontraction of sets of agonistic and antagonistic muscles. Journal of Biomechanics, vol 34, no 7, pp. 977-978 (2001).
  • W. Herzog and R. Ait-Haddou. Coordination of one and two-joint muscles during voluntary movement: theoretical and experimental considerations. Motor Control, vol 4, pp 68-74 (2000).
  • R. Ait-Haddou, P. Binding, and W. Herzog. Theoretical considerations on cocontraction of sets of agonistic and antagonistic muscles. Journal of Biomechanics, vol 33, pp 1105-1111 (2000).
  • R. Ait-Haddou, L. Biard, and M. A. Slawinski. Minkowski isoperimetric hodograph curves. Computer Aided Geometric Design, vol 17, no 9, pp 835-861 (2000).
  • H. Pottmann, B. Odehnal, M. Patternell, and R. Ait-Haddou. Optimal tolerancing in computer-aided design. Geometric Modeling and Processing 2000, R. Martin and W. Wang (eds). IEEE Computer Society, Los Alamitos, Calif, pp 347-363 (2000).
  • R. Ait-Haddou, and W. Herzog. A hybrid formalism for cross-bridge models. Archives of Physiology and Biochemistry, vol 108 no 1-2, pp 150 (2000).
  • R. Ait-Haddou, A. Jinha and W. Herzog. A graphical approach to determine synergistic muscle forces using an optimization algorithm. Archives of Physiology and Biochemistry, vol 108 no 1-2, pp 149 (2000).
  • R. Ait-Haddou and L. Biard. G2 approximation of an offset curve by Tschirnhausen quartics. Mathematical Methods III in CAGD, Eds M. Daehlen, T. Lyche, and L. L. Schumaker, Vanderbilt university Press, pp 1-10 (1995).

Book Chapters

  • R. Ait-Haddou and W. Herzog. Brownian ratchet. Encyclopedia of Neuroscience, Springer Verlag no. 1, pp 501-504 (2009).
  • R. Ait-Haddou and W. Herzog. Brownian Motion. Encyclopedia of Neuroscience, Springer Verlag no. 1, pp 499-501 (2009).
  • W. Herzog and R. Ait-Haddou. Mechanical muscle models and their application to force and power production. Strength and Power in Sport (2nd edition). Blackwell Science Ltd 9: pp. 154-183 (2002).
  • R. Ait-Haddou, and W. Herzog. A general mathematical framework for cross-bridge modeling. In skeletal Muscle Mechanics: From mechanics to Function (eds. Herzog, W). John Wiley and Sons, New York, pp 125-134 (2001).

 

 

Department of Mathematics and Natural Sciences, College of Sciences and Human Studies, Prince Mohammad Bin Fahd University, Al Khobar 31952, Saudi Arabia

SCOPUS: https://www.scopus.com/authid/detail.uri?authorId=6603257972

ORCID:   https://orcid.org/0000-0002-2606-127X

ResearchGate: https://www.researchgate.net/profile/Rachid-Ait-Haddou

Google Scholar: https://scholar.google.com/citations?user=prSVxWcAAAAJ&hl=en

 

 

2026-… Professor, Department of Mathematics and Natural Sciences, PMU, Al Khobar, Saudi-Arabia

2025-2026: Professor, Department of Mathematics, KFUPM, Dhahran, Saudi-Arabia

2020 -2025: Associate Professor, Department of Mathematics, KFUPM, Dhahran, Saudi-Arabia

2017-2019: Visiting Research Scientist, Cybermedia Center, Osaka University, Osaka, Japan

2012-2016: Research Scientist, KAUST, Thuwal, Saudi-Arabia

2008-2012: Associate Professor, Department of Mechanical Science and Bioengineering, Osaka      University, Osaka, Japan

2003-2007: Research Associate, Department of Biomechanics, Calgary University, Calgary, Canada

1998-2003: Post-Doctoral Fellow, Department of Biomechanics, Calgary University, Calgary, Canada

1996-1997: Lecturer, Valenciennes Institute of Technology, Valenciennes, France

1995-1996: Lecturer, Joseph Fourier University, Grenoble 1, France

 

 

PMU (2026-2027)

MATH1423 Calculus II: 2026

MATH1324 Calculus III: 2026 

 

My research interests include the development and theoretical analysis of novel numerical methods for solving partial differential equations arising in scientific and engineering applications. I also work on Computer-Aided Geometric Design (CAGD), with particular emphasis on freeform shape design using Chebyshev blossoming in extended Chebyshev spaces. My research further encompasses the application of deep learning techniques, particularly physics-informed neural networks (PINNs), to the solution of partial differential equations, as well as the mathematical modeling of biological systems.

 

Editorial Board Membership: Numerical Algorithms (Springer) and Arabian Journal of Mathematics (Springer)