Publications
Akhlaq Husain, Suhas Gumma, Mohammad Sajid, Jaideep Reddy, Mohammad T. Alresheedi (2024): A novel fractal interpolation function algorithm for fractal dimension estimation and coastline geometry reconstruction: a case study of the coastline of Kingdom of Saudi Arabia. Eur. Phys. J. B 97, 51 (2024). https://doi.org/10.1140/epjb/s10051-024-00696-2
Mohammad Sajid, Akhlaq Husain, Jaideep Reddy, Mohammad T. Alresheedi, Sulaiman A. Al Yahya, Ahmed Al-Rajy (2023): Box dimension of the border of Kingdom of Saudi Arabia, Heliyon, Vol. 9 (4), e14846.
Akhlaq Husain (2022): Fractal reptiles of the Plane using Reflections and Rotations, in Computing and Simulation for Engineers, https://doi.org/10.1201/9781003222255-9, Book Chapter, CRC Press.
Akhlaq Husain, Manikyala Navaneeth Nanda, Movva Sitaram Chowdary, and Mohammad Sajid (2022): Fractals: An Eclectic Survey, Part-II, Fractal and Fractional (MDPI), Vol. 6(7), 379.
Akhlaq Husain, Manikyala Navaneeth Nanda, Movva Sitaram Chowdary, and Mohammad Sajid (2022): Fractals: An Eclectic Survey, Part-I, Fractal and Fractional (MDPI), Vol. 6, 89.
Akhlaq Husain, Jaideep Reddy, Deepika Bisht, Mohammad Sajid (2022): "Fractal dimension of India using multicore parallel processing", Computers & Geosciences, Vol. 159, 104989.
Akhlaq Husain, Jaideep Reddy, Deepika Bisht and Mohammad Sajid (2021): “Fractal dimension of coastline of Australia”, Scientific Reports (Nature), Vol. 11, 6304.
Akhlaq Husain, Karthik Gomada, Manogna Megham and Seemakruthi Ashish (2021): "Fractal reptiles of R2 and R3 using integer matrices", Fractals (World Scientific), Vol. 29 (2), 2150027.
Akhlaq Husain and Arbaz Khan (2017): “Least-squares spectral element preconditioners for fourth order elliptic problems”, Computers and Mathematics with Applications (Elsevier), Vol. 74, Issue 3, Pages 482-503.
Arbaz Khan and Akhlaq Husain (2017): “Exponentially Accurate Spectral Element Method for Fourth Order Elliptic Problems, available online in Journal of Scientific Computing (Springer), Vol. 71(1), 303-328.
Arbaz Khan, Akhlaq Husain and Subhashree Mohapatra (2017): “Spectral element methods for three dimensional elliptic interface problems” Computer Methods in Applied Mechanics and Engineering (Elsevier), Volume 315, 1, Pages 522-549.
Pravir K. Dutt, Akhlaq Husain, A.S. Vasudeva Murthy and C.S. Upadhyay (2016): "h−p Spectral element methods for three dimensional elliptic problems on non-smooth domains, Part-III: The Numerical Scheme, Error Estimates and Preconditioners", Computers and Mathematics with Applications (Elsevier), Volume (9), 1745-1771.
Subhashree Mohapatra and Akhlaq Husain (2016): “Least-squares h−p/spectral element methods for Stokes equations”, Applied Numerical Mathematics, Vol. 102(C), 31-54.
Pravir K. Dutt, Akhlaq Husain, A.S. Vasudeva Murthy, C.S. Upadhyay (2015): "h−p Spectral element methods for three dimensional elliptic problems on non-smooth domains, Part-I: Regularity Estimates and Stability Theorem", Proceedings: Mathematical Sciences (Springer), Volume 125(2), 239-270.
Pravir K. Dutt, Akhlaq Husain, A.S. Vasudeva Murthy and C.S. Upadhyay (2015): "h−p Spectral element methods for three dimensional elliptic problems on non-smooth domains, Part-II: Proof of the Stability Theorem", Proceedings: Mathematical Sciences (Springer), Volume 125(3), 413-447.
Pravir K. Dutt, Akhlaq Husain, A.S. Vasudeva Murthy and C.S. Upadhyay (2014): "h−p Spectral element methods for three dimensional elliptic problems on non-smooth domains", Applied Mathematics and Computation, Volume 234, 13–35.
Akhlaq Husain and Arbaz Khan: Spectral methods for elliptic problems on perforated domains (in preparation).