Contact Information
375 Altgeld Hall, MC-382
1409 W. Green Street
Urbana, IL 61801
Research Description
Geometry and Topology (applied and computational), Numerical Analysis, Computational Physics.
Education
PhD, Caltech, 2003
Awards and Honors
NSF CAREER Award, "Algebraic Topology and Exterior Calculus in Numerical Analysis," 2007–2012
Additional Campus Affiliations
Professor, Mathematics
External Links
Recent Publications
Hirani, A. N., Wan, A. T. S., & Wojtalewicz, N. (2024). CONSERVATIVE INTEGRATORS FOR PIECEWISE SMOOTH SYSTEMS WITH TRANSVERSAL DYNAMICS. Journal of Computational Dynamics, 11(2), 135-152. https://doi.org/10.3934/jcd.2023009
Hirani, A. N., Kalyanaraman, K., Wang, H., & Watts, S. (2023). Computing discrete harmonic differential forms in a given cohomology class using finite element exterior calculus. Computational Geometry: Theory and Applications, 109, Article 101937. https://doi.org/10.1016/j.comgeo.2022.101937
Wang, M., Jagad, P., Hirani, A. N., & Samtaney, R. (2023). Discrete exterior calculus discretization of two-phase incompressible Navier-Stokes equations with a conservative phase field method. Journal of Computational Physics, 488, Article 112245. https://doi.org/10.1016/j.jcp.2023.112245
Karve, V., & Hirani, A. N. (2020). The complete set of minimal simple graphs that support unsatisfiable 2-CNFs. Discrete Applied Mathematics, 283, 123-132. https://doi.org/10.1016/j.dam.2019.12.017
Mohamed, M. S., Hirani, A. N., & Samtaney, R. (2018). Numerical convergence of discrete exterior calculus on arbitrary surface meshes. International Journal for Computational Methods in Engineering Science and Mechanics, 19(3), 194-206. https://doi.org/10.1080/15502287.2018.1446196