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
External Links
Honors & Awards
NSF CAREER Award, "Algebraic Topology and Exterior Calculus in Numerical Analysis," 2007–2012
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
Schubel, M. D., Berwick-Evans, D., & Hirani, A. N. (2024). Averaging property of wedge product and naturality in discrete exterior calculus. Advances in Computational Mathematics, 50(4), Article 84. https://doi.org/10.1007/s10444-024-10179-8
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