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Indian Institute of Technology Bhubaneswar
Indian Institute of Technology Bhubaneswar

Dr. Akash Ashirbad Panda Assistant professor
School of Basic Sciences

Research Interests

  • Stochastic analysis of Partial Differential Equations (SPDEs)
  • Weak and Strong Approximation (Numerical analysis) of SPDEs
  • Wellposedness and Large Deviation theory of SPDEs
  • Homogenisation of SPDEs

Contact Details

  • Room no. F-4, Third floor (new extension), SBS Building, IIT Bhubaneswar
  • akashpanda@iitbbs.ac.in, akashp595@gmail.com

Other Profile Link(s)

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
 

Biosketch

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;

·         Stochastic Homogenization of SPDEs;

 

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

 

 

 

 

Teaching

 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

Projects

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: Ongoing
 

Recent Publications (International Journals)

1(Submitted and ArXived) (With X. Feng, and A. Prohl) Higher order discretization of the stochastic semi-linear wave equation with multiplicative noise, https://doi.org/10.48550/arXiv.2205.07393 (2022).
2(With E. Hausenblas) Correction to: The Stochastic Gierer-Meinhardt system, Applied Mathematics & Optimization, 86 (2), 1-1 (2022).
3(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
4(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
5(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
6(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
7(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
8(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.
9(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: 2.615.
 

Academic Honors & Awards

  • INSPIRE Faculty Fellowship (IFF) award 2021 from DST
  • Supported by the Austrian Science Foundation (FWF) project number P28010 and P28819 during my postdoc
  • ICIAM-2019 travel grant from National Board of Higher Mathematics (NBHM) to visit the conference held in Valencia, Spain.
  • Collaborative Research Exchanges Scheme of the University of York, UK in 2018
  • Participant in the Royal Society (UK) International Exchanges award IE140328
  • DST-PG Merit scholarship (Ranked 1st in Odisha) in 2013
  • Ranked 1st in B.Sc. (Hons.) in Mathematics and Computing with distinction in 2012
  • INSPIRE's top 1% cut-off for state board of Odisha in 2009
  • Foundation For Excellence Award in 2007
 

Research Scholar

  1.  Name: Mr. Sagar Kaushik
     Joined on: January 2023
 

Professional Experience

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.

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