Welcome!

University of Notre Dame
IISER TVM

I am Harihara Maharna, a PhD Candidate in Applied and Computational Mathematics at the Department of Applied and Computational Mathematics and Statistics (ACMS), University of Notre Dame, IN, USA.

My research focuses on developing structure-preserving deep learning methods for complex fluids problems. I am building the Energetic Variational framework — a thermodynamically consistent approach grounded in the Energetic Variational Approach (EnVarA). I work under the supervision of Dr. Zhiliang Xu.

Previously, I completed my MSc in Mathematics at IISER Thiruvananthapuram, India, working on finite volume methods for Euler system under Dr. K. R. Arun.

🔬 Research Interests

Deep Learning for Partial Differential Equations Physics-informed Learning Scientific Computing Finite Element/Volume Analysis Numerical Analysis

📢 Recent News

  • Summer 2026: Joining IBM Research Ireland to work on foundation models for plasma physics.
  • April 2026: Presented at the Midwest Numerical Analysis Day at Notre Dame.
  • March 2026: Passed my doctoral candidacy exam.
  • March 2026: Received the People's Choice Award at Notre Dame's Interdisciplinary Graduate Research Symposium.
  • September 2025: Presented at the SciML Workshop at Purdue University.
  • 2025: Published in Applied Mathematics and Computation — an asymptotic-preserving, energy-stable scheme for the barotropic Euler system.

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🧠 Projects

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📚 Publications

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📘 Teaching

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🗣️ Talks

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📄 CV

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🌍 Beyond Academics

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