Tel: +2712 420-2740
Fax: +2712 420-3893
E-mail: [email protected]
Office: Mathematics Building 1-47

Position: Emeritus Professor
Academic qualifications: BSc(Pret), BSc(Hons)(Unisa), MSc, DSc(Pret) HED
NRF Rating: C2

Fields of interest: Numerical methods, dynamical systems and mathematical modelling
Research interests: Numerical methods of partial differential equations

Open Access version of articles

Publications over the past five years:
Journal articles 
   
Sieberhagen RH, Van Rensburg NFJ  Tracking a sharp crested wave front in hyperbolic heat transfer.  Applied Mathematical Modelling, 36(2012), 3399-3410

Basson M, Van Rensburg NFJ  Galerkin finite element approximation of general linear second order hyperbolic equations.  Numerical Function Analysis and Optimization, 34(9)(2013), 976-1000

Basson M, De Villiers M, Van Rensburg NFJ  Solvability of a model for the vibration of a beam with a damping tip body.  Journal of Applied Mathematics (2014), Article ID 298092, 7 pages (electronic article)

Roux A, Van der Merwe A, Van Rensburg NFJ  Elastic waves in a Timoshenko beam with boundary damping. Wave Motion 57(2015), 194–206

Labushagne M, Stapelberg B, van Rensburg NFJ Error estimates for semi-discrete and fully discrete Galerkin finite element approximations of the general linear second order hyperbolic equation. Numerical Functional Analysis and Optimization 38(4)(2017) 466-485

Civina D, van Rensburg NFJ, van der Merwe AJ Using energy methods to compare linear vibration models. Applied Mathematics and Computation 321(2018) 602–613

Van Rensburg NFJ, Stapelberg B Existence and uniqueness of solutions of a general linear second order hyperbolic problem. IMA Journal of Applied Mathematics 84(2019) 1-22

Van der Merwe AJ, Van Rensburg NJF, Sieberhagen RH Comparing the dual phase lag, Cattaneo-Vernotte and Fourier heat conduction models using modal analysis. Applied Mathematics and Computation 396(2021) 125934 1-15

Van Rensburg NFJ, Du Toit S, Labuschagne M Local linear Timoshenko rod. Acta Mech (2021)