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Dr. Soumyendra Singh

Assistant Professor, Department of Science and Humanities, School of Engineering, Chennai

Qualification: BSc, MSc, Ph.D
@amrita.edu

Bio

Dr. Soumyendra Singh currently serves as an Assistant Professor of Mathematics, in the Department of Science and Humanities, School of Engineering, Amrita Vishwa Vidyapeetham, Chennai campus.

Publications

Journal Article

Year : 2023

A numerical simulation of non-linear stochastic Itô-Volterra integral equations driven by multi- fractional Gaussian noise

Cite this Research Publication : S. Singh, D Chaudhary, M K Gola, Muskan, Priyadharshini A R and Krithika S, "A numerical simulation of non-linear stochastic Itô-Volterra integral equations driven by multi- fractional Gaussian noise”, Materials Today: Proceedings, In press, 2023.

Year : 2023

Bernstein polynomial approximation of non-linear stochastic Itô-Volterra integral equations driven by multi-fractional Gaussian noise

Cite this Research Publication : S. Singh, D Chaudhary, M K Gola, Priyadharshini A R and Krithika S "A Bernstein polynomial approximation of non-linear stochastic Itô-Volterra integral equations driven by multi-fractional Gaussian noise", Materials Today: Proceedings, In press, 2023

Year : 2022

Analysis of stochastic fitzhugh–nagumo equation for wave propagation in a neuron arising in certain neurobiology models

Cite this Research Publication : S. Singh, S. Saha Ray "Analysis of stochastic fitzhugh–nagumo equation for wave propagation in a neuron arising in certain neurobiology models", International Journal of Biomathematics, 15(05), 2250027, 2022

Year : 2020

New Stochastic Operational Matrix Method based on Chebyshev Wavelets for Solution of Stochastic Itô-Volterra Integral Equations Driven by Fractional Brownian Motion

Cite this Research Publication : S. Saha Ray, S. Singh, “New Stochastic Operational Matrix Method based on Chebyshev Wavelets for Solution of Stochastic Itô-Volterra Integral Equations Driven by Fractional Brownian Motion”, Stochastic Analysis and Applications, 2020, 39(2), pp. 224–234.

Publisher : Stochastic Analysis and Applications

Year : 2020

New Stochastic Operational Matrix Method based on Bernstein polynomials for Solution of Non-Linear Stochastic Itô-Volterra Integral Equations Driven by Fractional Brownian Motion

Cite this Research Publication : S. Saha Ray, S. Singh, “New Stochastic Operational Matrix Method based on Bernstein polynomials for Solution of Non-Linear Stochastic Itô-Volterra Integral Equations Driven by Fractional Brownian Motion”, Engineering Computations, 37(9), pp. 3243–3268

Publisher : Engineering Computations

Year : 2020

A Stochastic Operational Matrix Method for Numerical Solutionsof mixed Stochastic Volterra–Fredholm Integral Equations

Cite this Research Publication : S. Singh, S. Saha Ray,” A Stochastic Operational Matrix Method for Numerical Solutionsof mixed Stochastic Volterra–Fredholm Integral Equations”, International Journal of Wavelets, Multiresolution and Information Processing, 18(02), 2050005. (2020)
DOI: doi.org/10.1142/S0219691320500058

Publisher : International Journal of Wavelets, Multiresolution and Information Processing

Year : 2019

Stochastic operational matrix of Chebyshev wavelets for solving multi-dimensional stochastic Itô –Volterra integral equations

Cite this Research Publication : S. Singh, S. Saha Ray, “Stochastic operational matrix of Chebyshev wavelets for solving multi-dimensional stochastic Itô –Volterra integral equations”, International Journal of Wavelets, Multiresolution and Information Processing, 17(1), 195007, 16 pages (2019)

Publisher : International Journal of Wavelets, Multiresolution and Information Processing

Year : 2019

New Exact Solutions for the Wick-type Stochastic Nonlinear Schrödinger Equation in Nonlinear Optics

Cite this Research Publication : S. Singh, S. Saha Ray, “New Exact Solutions for the Wick-type Stochastic Nonlinear Schrödinger Equation in Nonlinear Optics”, Modern Physics Letters B, 33(9), 1950109, 10 pages. (2019)

Publisher : Modern Physics Letters B

Year : 2019

Higher order approximate solutions of fractional stochastic point kinetics equations in nuclear reactor dynamics

Cite this Research Publication : S. Singh, S. Saha Ray, “Higher order approximate solutions of fractional stochastic point kinetics equations in nuclear reactor dynamics”, Nuclear Science and Techniques, 30(49), 13 pages.

Publisher : Nuclear Science and Techniques

Year : 2018

Numerical Solutions of stochastic Volterra-Fredholm integral equations by Hybrid Legendre Block-Pulse functions

Cite this Research Publication : S. Saha Ray, S. Singh, “Numerical Solutions of stochastic Volterra-Fredholm integral equations by Hybrid Legendre Block-Pulse functions”, International Journal of Nonlinear Sciences and Numerical Simulation, 19(3-4), pp. 289-297. (2018)

Publisher : International Journal of Nonlinear Sciences and Numerical Simulation

Year : 2017

On the comparison of two split-step methods for the numerical simulation of stochastic point kinetics equations in presence of Newtonian temperature feedback effects

Cite this Research Publication : S. Singh, S. Saha Ray, “On the comparison of two split-step methods for the numerical simulation of stochastic point kinetics equations in presence of Newtonian temperature feedback effects”, Annals of Nuclear Energy, 110 (2017), pp. 865–873. (2017)

Publisher : Annals of Nuclear Energy

Year : 2017

Exact solutions for the Wick-type stochastic Kersten- Krasil’shchik coupled KdV-mKdV equations

Cite this Research Publication : S. Singh, S. Saha Ray, “Exact solutions for the Wick-type stochastic Kersten- Krasil'shchik coupled KdV-mKdV equations”, The European Physical Journal Plus, 132(480), 12 pages. (2017)

Publisher : The European Physical Journal Plus

Year : 2017

Numerical solutions of stochastic nonlinear point reactor kinetics equations in presence of Newtonian temperature feedback effects

Cite this Research Publication : S. Saha Ray, S. Singh, “Numerical solutions of stochastic nonlinear point reactor kinetics equations in presence of Newtonian temperature feedback effects”, Journal of Computational and Theoretical Transport, 48(2), pp. 47-57. (2017)

Publisher : Journal of Computational and Theoretical Transport

Year : 2017

Numerical solutions of stochastic Fisher Equation to study migration and population behavior in biological invasion

Cite this Research Publication : S. Singh, S. Saha Ray, “Numerical solutions of stochastic Fisher Equation to study migration and population behavior in biological invasion”, International Journal of Biomathematics, 10(7), 14 pages. (2017)

Publisher : International Journal of Biomathematics

Year : 2017

New exact solutions for the Wick-type stochastic modified Boussinesq equation for describing waves propagation in nonlinear dispersive systems

Cite this Research Publication : S. Saha Ray, S. Singh, “New exact solutions for the Wick-type stochastic modified Boussinesq equation for describing waves propagation in nonlinear dispersive systems”, Chinese Journal of Physics, 55(4), pp. 1653-1662. (2017)

Publisher : Chinese Journal of Physics

Year : 2017

New exact solutions for the Wick-type stochastic Kudryashov-Sinelshchikov equation

Cite this Research Publication : S. Saha Ray, S. Singh, “New exact solutions for the Wick-type stochastic Kudryashov-Sinelshchikov equation”, Communications in Theoretical Physics, 67(2), pp. 197-206. (2017)

Publisher : Communications in Theoretical Physics

Year : 2017

New Exact Solutions for the Wick-type Stochastic Zakharov-Kuznetsov equation for modelling waves on shallow water surfaces

Cite this Research Publication : S. Saha Ray, S. Singh, “New Exact Solutions for the Wick-type Stochastic Zakharov-Kuznetsov equation for modelling waves on shallow water surfaces”, Random Operators and Stochastic Equations, 25(3), pp. 107-116. (2017)

Publisher : Random Operators and Stochastic Equations

Book

Year : 2020

A Stochastic Operational Matrix Method for Numerical Solutions of Multi-dimensional Stochastic Itô-Volterra Integral Equations

Cite this Research Publication : S. Singh, S. Saha Ray, “A Stochastic Operational Matrix Method for Numerical Solutions of Multi-dimensional Stochastic Itô-Volterra Integral Equations”, Random Operators and Stochastic Equations, 28(3), pp. 209-216. (2020)

Publisher : Random Operators and Stochastic Equations

Academic Qualifications
2020 Ph.D. in Mathematics, National Institute Of Technology, Rourkela  Area of Research: Stochastic Process, Differential Equations, Probability.   Supervisor: Prof. SantanuSaha Ray CGPA: 8.81/10
2015 MSc in Computational Finance, Institute of Mathematics and Applications,Utkal University, Odisha SCGPA: 6.6/10
2013 BSc in Science Mathematics Honors, Stewart Science College, Utkal University, Odisha Percentage: 59.3 with distinction
2010 Intermediate in Science (MPC), Jupiter ScienceCollege, Bhubaneswar, Odisha Percentage: 64.3
2008 Matriculation, DAV Public School,Bhubaneswar, Odisha  Percentage: 74.2
Academic Experience
March 2022 – Continuing Assistant Professor of Mathematics, in the Department of Science and Humanities, School of Engineering, Amrita Vishwa Vidyapeetham, Chennai campus
July 2016 – June 2018 Teaching Assistant (Part of Ph.D. program) Department of Mathematics, National Institute of Technology Rourkela.
Projects Worked
  • NBHM  2017 – 2019 Analytical and Numerical Solutions of Riesz Fractional Partial Differential Equations Under Prof. SantanuSaha Ray, NIT Rourkela.
Scholarships and Certificates

Fellowships

  • 2017- 2019 Scholarship from NBHM Govt. of India.
Major Courses Taught
  • Differential Equation
  • Probability
  • Statistics
  • Numerical Analysis
  • Stochastic Process
Areas of Research Interests
  • Stochastic Differential and Integral Equation
  • Latent Differential Equations
Conferences
  1. November, 2018, International Conference on Applied and Computational Mathematics 2018, Department of Mathematics, IIT Kharagpur
  2. December, 2018, National Conference in Recent Advances in Mathematics and its Applications
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