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Anil Hirani

Profile picture for Anil  Hirani

Contact Information

Department of Mathematics
375 Altgeld Hall, MC-382
1409 W. Green Street
Urbana, IL 61801
Professor

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

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

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