About
Hi! I am Dr. Abhinav Jha, currently an Assistant Professor at the Indian Institute of Technology, Gandhinagar. My research interests lie in the areas of Numerical Analysis and Scientific Computing.
During my PhD, I specialized in Stabilization Techniques for Convection-Dominated Problems, and I was also a member of the Berlin Mathematical School (BMS).
In my Postdoctoral research, I shifted focus to Computational Chemistry, working specifically on Domain Decomposition Methods for Poisson-Boltzmann Equations. For a brief overview of my work, you can check out the following presentations: AFC Schemes, ddLPB Method, and ddPB Method.
- Birthday: 2 July 1994
- City: Gandhinagar, India
- Email: abhinav.jha@iitgn.ac.in
- Age: 30
- Degree: Dr. rer. nat
Publications
This is my list of publications. Most of them are available on arXiv, if you need a published version of any of the paper, do not hesitate to contact me.
- Petr Knobloch, Dmitri Kuzmin, Abhinav Jha: Well-balanced convex limiting for finite element discretizations of steady convection-diffusion-reaction equations. In: Journal of Computational Physics, 518, (July 2024), DOI: 10.1016/j.jcp.2024.113305
- Michele Nottoli, Michael F. Herbst, Aleksandr Mikhalev, Abhinav Jha, Filippo Lipparini, Benjamin Stamm: ddX: Polarizable Continuum Solvation from Small Molecules to Proteins. In: WIREs Computational Molecular Science, 14(4), (July 2024), DOI: 10.1002/wcms.1726
- Abhinav Jha: Residual-Based a Posteriori Error Estimators for Algebraic Stabilizations. In: Applied Mathematics Letters, 157, (June 2024), DOI: 10.1016/j.aml.2024.109192
- Abhinav Jha, Volker John, Petr Knobloch: Adaptive Grids in the Context of Algebraic Stabilizations for Convection-Diffusion-Reaction Equations. In: SIAM Journal on Scientific Computing, 45, (April 2023), DOI: 10.1137/21M1466360
- Abhinav Jha, Michele Nottoli, Aleksandr Mikhalev, Chaoyu Quan, Benjamin Stamm: Linear scaling computation of forces for the domain-decomposition linear Poisson--Boltzmann method. In: The Journal of Chemical Physics, 150, (February 2023), DOI: 10.1063/5.0141025
- Abhinav Jha, Ondrej Partl, Naveed Ahmed, Dmitri Kuzmin: An Assessment of Solvers for Algebraically Stabilized Discretizations of Convection-Diffusion-Reaction Equations. In: Journal of Numerical Mathematics, 31, (April 2022), DOI: 10.1515/jnma-2021-0123
- Abhinav Jha: Hanging nodes for higher-order Lagrange finite elements. In: Examples and Counterexamples, 1, (November 2021), 100025, DOI: 10.1016/j.exco.2021.100025
- Abhinav Jha: A residual based a posteriori error estimators for AFC schemes for convection-diffusion equations. In: Computers and Mathematics with Applications, 97(1), (June 2021), DOI: 10.1016/j.camwa.2021.05.031
- Abhinav Jha, Volker John: On Basic Iteration Schemes for Nonlinear AFC Discretizations. In: Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2018, 135, (January 2020), DOI: 10.1007/978-3-030-41800-7_7
- Abhinav Jha, Volker John: A study of solvers for nonlinear AFC discretizations of convection–diffusion equations. In: Computers and Mathematics with Applications, 78(9), (May 2019), DOI: 10.1016/j.camwa.2019.04.020
Preprints
These are the list of the preprints which are currently under review.
- Thiago Carvalho Corso, Muhammad Hassan, Abhinav Jha, Benjamin Stamm: Trace estimates for harmonic functions along circular arcs with applications to domain decomposition on overlapping disks, (January 2024), arXiv: 2401.16344
- Abhinav Jha, Benjamin Stamm: Domain decomposition method for Poisson--Boltzmann equations based on Solvent Excluded Surface, (September 2023), arXiv: 2309.06862
Resume
This is my express resume. Here is a link to my full resume.
Summary
Abhinav Jha
Assistant Professor, Grade 1
- Indian Institute of Technology, Gandhinagar, Gujarat, India
- abhinav.jha@iitgn.ac.in
Education
Dr. rer. nat.
2017 - 2020
Freie Universität, Berlin
Thesis: Numerical Algorithms for Algebraic Stabilizations of Scalar Convection-Dominated Problems
Supervisor : Prof. Dr. Volker John
M.Sc. Mathematics
2015 - 2017
Indian Institute of Technology, Roorkee
Thesis: Finite Element Method for Population Balance Equation
Supervisor : Dr. Ankik Kumar Giri
B.Sc.(H) Mathematics
2012 - 2015
St. Stephen's College, University of Delhi
Research Experience
Wissenschaftlicher Mitarbeiter
September, 2022 - August, 2024
Universität Stuttgart, Stuttgart, Germany
Supervisor : Prof. Dr. Benjamin Stamm
Teaching assistant for:- Numerische Mathematik: Winter semester 2024
- Numerical Methods for Differential Equations: Summer semester 2023
- Numerische Grundlagen für ernen, fmt, mach, mawie: Summer semester 2023, 2024
- Höhere Mathematik 3: Winter semester 2022
- Hauptseminar Numerische Analysis und Simulation: Winter semester 2022
Wissenschaftlicher Mitarbeiter
November, 2020 - August, 2022
RWTH Aachen University, Aachen, Germany
Supervisor : Prof. Dr. Benjamin Stamm
Teaching assistant for:- Numerics II: Summer semester 2022
- Numerics V : Winter semester 2021
- Numerics IV: Summer semester 2021
Scholarships and Awards
Dr. Gorakh Prasad Scholarship
July, 2015 - July, 2017
Indian Institute of Technology, Roorkee
INSPIRE Scholarship
July, 2012 - July, 2017
Ministry of Human Resources and Development, India
Workshops and Conferences
List of workshops, internal seminars, and conferences I attended. Also, the list of mini-symposium/conferences I co-organized.
- All
- Conferences
- Workshops
- Internal Seminars
- Organization
Software
I have co-developed and currently working on the following software packages.
ddX
Domain Decomposition Paradigm for Continuum Solvation Models
ParMooN
Parallel Mathematics and object-oriented Numerics
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We have openings for both PostDoc and PhD positions. Details are provided below:
PostDoc Positions
If you have your own funding (e.g., NBHM) or are seeking assistance with a position, please feel free to write to me. While there are no current PostDoc openings in my group, I am open to potential collaborations and support for funded projects. The areas of research include:
- Computational Fluid Dynamics: Efficient solvers and mixed formulation of the convection-diffusion equation.
- Data Science: Eigenvalue problems.
- Computational Chemistry: Iterative analysis for domain decomposition methods.
If you have any questions, feel free to contact me via email.
PhD Positions
We also have an opening for a PhD position that will commence in the upcoming Summer Semester 2025. However, the student needs to have their own funding through programs such as: CSIR/UGC JRF, GATE, NBHM, or INSPIRE. If you wish to discuss possible research areas and scope, please send me an email.
Miscellaneous
Here are some general information that might be useful to you. I list some books that I really like, some non-mathematical stuff that interests me, and some stuff that I like!
Mathematical Books
Numerical Analysis
Functional Analysis
Computational Fluid Dynamics
Non-Mathematical Books
Comic Books
Other stuff
TV Series
Anime
Non-Anime
General Interests
Apart from the aforementioned things, I am also a big football fan and support Chelsea FC. I am also a TCG player and enjoy Magic: The Gathering and Flesh and Blood. I also like listening to podcasts and two of my all time favorite are: 44Two and TISS.Contact
If you have any questions, please feel free to write to me. If I don't respond, don't feel guilty and send me a reminder.
Location:
Indian Institute of Technology, Gandhinagar, Gujarat, India
Email:
abhinav.jha@iitgn.ac.in
Call:
+91 123 456 7890