Dr. Akash Ashirbad Panda
Assistant professor
- Office: SBS, Third floor, Room 338
- akashpanda@iitbbs.ac.in
- Department of Mathematics
Research Interests:
Stochastic analysis of Partial Differential Equations (SPDEs), Weak and Strong Approximation (Numerical analysis) of SPDEs, Non-parametric Estimation of SDEs, Well-posedness and Large Deviation theory of SPDEs
My research area lies in the field of stochastic analysis of Partial Differential Equations and its numerical analysis, in particular:
- Well-posedness theory of Stochastic Partial Differential equations (SPDEs);
- (Stochastic) Nematic liquid crystals and related physical models like Navier-Stokes equations and Landau-Lifshitz-Gilbert equations;
- Weak and strong approximation (Numerics) of SPDEs.,
- (Stochastic) Mathematical-Biological models;
- Martingale solutions and large deviation principle for SPDEs;
- Study of Marcus type jump noise and blow-up criterion;
- Non-parametric Estimation of SDEs;
Education
| Degree | Discipline | Year | School |
|---|---|---|---|
| B.Sc. | Hons. in Mathematics and Computing | 2009-2012 | Institute of Mathematics and Applications Bhubaneswar, Odisha |
| M.Sc. (Integrated Ph.D.) | Mathematics | 2013-2015 | IISER Thiruvananthapuram, Kerala |
| Ph.D. | Mathematics | 2015-2019 | IISER Thiruvananthapuram, Kerala |
Courses taught at University of Tuebingen, Germany
-
Seminar course on “Introduction to Machine learning” (Winter semester 2020/21 & 2021/22)
-
Theoretical aspects of Machine Learning (Summer Semester 2021)
-
Seminars on “Machine Learning” (Summer Semester 2022)
-
Teaching Assistant for the course “Stochastic Differential Equations” (Summer Semester 2022)
The handout notes of the machine learning seminars can be found here: https://na.uni-tuebingen.de/ex/seminar_ml_ws2021/
The class notes of the course “Theoretical Aspects of Machine Learning” can be found here: https://na.uni-tuebingen.de/ex/Foundations_ML_SS2021/
The Exercise sheets of the course “Stochastic Differential Equations” can be found here: https://na.uni-tuebingen.de/ex/stdgl_ss22/
Courses teaching at IIT Bhubaneswar
B-Tech (Mech. Eng., 4th sem) – Spring Semester 2022/23: Partial Differential Equations
B-Tech (Electrical. Eng. and Civil Eng., 3rd sem) – Autumn Semester 2023/24: Probability, Statistics & Stochastic Processes
M.Sc. (3rd Sem) – Autumn Semester 2023/24: Continuum Mechanics
ITEP (2nd Sem) – Spring Semester 2023/24: Probability and Statistics
B-Tech (Electrical. Eng. and Civil Eng., 3rd sem) – Autumn Semester 2024/25: Probability, Statistics & Stochastic Processes
M.Sc. (3rd Sem) – Autumn Semester 2024/25: Continuum Mechanics
Open Elective (M.Sc. (Maths), Electrical Eng., Ph.D. (Maths), Ph.D. (Physics)) – Spring Semester 2024/25: Stochastic Processes Simulation
B-Tech (Civil Eng., 3rd sem) – Autumn Semester 2025/26: Probability, Statistics & Stochastic Processes
M.Sc. (3rd Sem) – Autumn Semester 2025/26: Continuum Mechanics
- Name: Evana Islam Sarkar, Joined on: January 2024
- Name: Madepalli Sekhar, Joined on: August 2024
- Co-Supervisor- Name: Niran Meher, QIP
Project funded by DST-INSPIRE
Project name: Stochastic analysis of FitzHugh-Nagumo Neuron model
Funding Agency: DST-INSPIRE
Amount: 35,00,000 INR
Duration: 5 years (2022-2027)
Status: Ongoing
Seed Grant Funding
Project name: Stochastic Homogenization in Micromagnetism
Funding Agency: IIT Bhubaneswar
Amount: 10,00,000 INR
Duration: 2 years (2023-2024)
Status: Completed
- (With Brijesh. K. Jha) Estimation after Selection: Admissibility Results under the Entropy Loss Function, 2025, (Submitted).
- (With Subhra S. Dhar, and Brijesh. K. Jha) Least Square Estimation: SDE Perturbed by L\’evy Noise with Sparse Sample Paths, 2025 (Submitted).
- (With Abhijit D. Banik, Brijesh K. Jha) Results on admissibility of estimators under entropy loss function, 2025, (Submitted).
- (With X. Feng, and A. Prohl) Higher order time discretization for the stochastic semilinear wave equation with multiplicative noise, IMA Journal of Numerical Analysis, Volume 44, Issue 2, March 2024, Pages 836–885, https://doi.org/10.1093/imanum/drad024, Impact Factor 2.5.
- (With E. Hausenblas) Correction to: The Stochastic Gierer-Meinhardt system, Applied Mathematics & Optimization, 86 (2), 1-1 (2022).
- (With E. Hausenblas) The Stochastic Gierer-Meinhardt system, Applied Mathematics & Optimization, 85 (2), 1-49 (2022), DOI: 10.1007/s00245-022-09835-6, Impact Factor of the Journal: 3.582
- (With U. Manna) Well-posedness and large deviations for 2D stochastic constrained Navier-Stokes equations driven by L\’evy noise in the Marcus canonical form, Journal of Differential Equations, Vol. 302, 64-138 (2021), DOI: 10.1016/j.jde.2021.08.035. Impact Factor of the journal: 2.615
- (With U. Manna) Local existence and blow-up criterion for the two and three dimensional ideal magnetic Benard problem, Electron. J. Differential Equations, Vol. 2020, No. 91, pp. 1-26 (2020), Impact Factor of the Journal: 1.282
- (With Z. Brzezniak and U. Manna) Large Deviations for Stochastic Nematic Liquid Crystals driven by Multiplicative Gaussian Noise, Potential Analysis, 53(3), 799-838 (2020). DOI: 10.1007/s11118-019-09788-6. Impact Factor of the Journal: 1.416
- (With U. Manna and D. Mukherjee) Wong-Zakai approximation for the Stochastic Landau-Lifshitz-Gilbert equations with anisotropy energy, Journal of Mathematical Analysis and Applications, 480(1), 123384 (2019). DOI: 10.1016/j.jmaa.2019.123384, Imapct Factor of the Journal: 1.417
- (With U. Manna) Higher Order Regularity and Blow-up Criterion For Semi-Dissipative and Ideal Boussinesq Equations, Journal of Mathematical Physics, 60, 041503 (2019). DOI: 10.1063/1.5048839, Impact Factor of the Journal: 1.355.
- (With Z. Brzezniak, and U. Manna) Martingale solutions of Nematic Liquid Crystals driven by Pure Jump Noise in the Marcus Canonical Form, J. Differential Equations, 266(10), 6204-6283 (2019), DOI: 10.1016/j.jde.2018.11.001, Impact Factor of the journal: 2.6
| Professional Experience Post-PhD | ||||
|
Position |
Institute |
Duration |
Department |
Duties |
| Assistant Professor (Grade I)
|
IIT Bhubaneswar, Odisha | 23rd of January 2023 – Present | School of Basic Sciences | Teaching, Research and Departmental duties |
| Assistant Professor (Grade II) | IIT Bhubaneswar, Odisha | 3rd of November 2022 – 22nd of January 2023 | School of Basic Sciences | Teaching, Research and
Departmental duties |
| INSPIRE Faculty Fellow | NISER Bhubaneswar, Odisha | 12th September 2022 – 31st of October 2022 | School of Mathematical Sciences | Research |
| Postdoctoral Fellow | Eberhard Karls Universitaet Tuebingen, Germany | 1st of April 2020 – 31st July 2022 | Fachbereich Mathematik | Teaching and Research |
| Researcher Position | Montanuniversitaet Leoben, Austria | 19th August 2019 – 31st March 2020 | Lehrstuhl fuer Angewandte Mathematik | Research |
I was an INSPIRE Faculty Fellow at the NISER Bhubaneswar, Odisha from 12th September 2022 – 31st of October 2022. Prior to that, I was a Postdoctoral Fellow at the Eberhard Karls Universitaet Tuebingen, Germany from 1st April 2020 – 31st July 2022. My profile can be seen in the following link: https://na.uni-tuebingen.de/~panda/ . Before that, I was working as a Researcher at the Montanuniversitaet Leoben, Austria from 19th August 2019 – 31st March 2020.