Personal information

Websites & social links

https://www.imperial.ac.uk/people/maneesh-kumar.singh

Other IDs

Scopus Author ID: 57693111900

Keywords

Finite element methods, Data assimilation algorithm, Scientific computing, Numerical analysis

Countries

India, United Kingdom

Biography

I am currently a Postdoctoral fellow at the Department of mathematics at Imperial College London. Before joining this position, I was a Postdoctoral fellow subsequently at the University of Konstanz, Germany, and IISc, Bangalore, India. I pursued my doctoral degree at the IIT Guwahati in the department of mathematics. The core topic of my research is to develop and analyze computational techniques for PDEs.

Activities

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Employment (3)

Imperial College London: London, GB

2022-07-11 to present | Postdoctoral Research Associate (Department of Mathematics)
Employment
Source: Self-asserted source
Maneesh Kumar Singh

University of Konstanz: Konstanz, Baden-Württemberg, DE

2021-06-01 to 2022-06-30 | Postdoctoral fellow (Department of Mathematics and Statistics)
Employment
Source: Self-asserted source
Maneesh Kumar Singh

Indian Institute of Science: Bangalore, Karnataka, IN

2019-01-10 to 2021-05-31 | Postdoctoral fellow (Department of Computational and Data Sciences)
Employment
Source: Self-asserted source
Maneesh Kumar Singh

Education and qualifications (3)

Indian Institute of Technology Guwahati: Guwahati, Assam, IN

2013-07-24 to 2018-11-22 | PhD (Department of mathematics)
Education
Source: Self-asserted source
Maneesh Kumar Singh

University of Hyderabad: Hyderabad, Telangana, IN

2011-07 to 2013-06 | M.Sc. Applied Mathematics (School of Mathematics and Statistics)
Education
Source: Self-asserted source
Maneesh Kumar Singh

Banaras Hindu University: Varanasi, Uttar Pradesh, IN

2008-07 to 2011-06 | B.A.(Hons) Mathematics
Education
Source: Self-asserted source
Maneesh Kumar Singh

Works (14)

Data Assimilation for the Stochastic Camassa-Holm Equation Using Particle Filtering: A Numerical Investigation

Mathematics of Planet Earth
2025 | Book chapter
DOI: 10.1007/978-3-031-70660-8_7
Part of ISBN: 9783031706592
Part of ISBN: 9783031706608
Part of ISSN: 2524-4264
Part of ISSN: 2524-4272
Contributors: Colin J. Cotter; Dan Crisan; Maneesh Kumar Singh
Source: Self-asserted source
Maneesh Kumar Singh

A discrete-ordinate weak Galerkin method for radiative transfer equation

Applied Numerical Mathematics
2024-07 | Journal article
DOI: 10.1016/j.apnum.2024.02.009
Contributors: Maneesh Kumar Singh
Source: check_circle
Crossref

Operator-splitting finite element method for solving the radiative transfer equation

Numerical Algorithms
2024-05-29 | Journal article
DOI: 10.1007/s11075-024-01850-8
Part of ISSN: 1017-1398
Part of ISSN: 1572-9265
Contributors: Sashikumaar Ganesan; Maneesh Kumar Singh
Source: Self-asserted source
Maneesh Kumar Singh

An Implicitly Extended Crank–Nicolson Scheme for the Heat Equation on a Time-Dependent Domain

Journal of Scientific Computing
2024-04-22 | Journal article
DOI: 10.48550/ARXIV.2203.06581
Contributors: Maneesh Kumar Singh; Stephan Frei
Source: Self-asserted source
Maneesh Kumar Singh

Numerical Analysis of Singularly Perturbed System of Parabolic Convection–Diffusion Problem with Regular Boundary Layers

Differential Equations and Dynamical Systems
2022 | Journal article
DOI: 10.1007/s12591-019-00462-2
EID:

2-s2.0-85065038951

Part of ISSN: 09746870 09713514
Contributors: Singh, M.K.; Natesan, S.
Source: Self-asserted source
Maneesh Kumar Singh via Scopus - Elsevier

A priori error analysis of discrete-ordinate weak Galerkin method for radiative transfer equation

2022-11 | Preprint
DOI: 10.48550/ARXIV.2211.10745
Contributors: Maneesh Kumar Singh
Source: Self-asserted source
Maneesh Kumar Singh

An Operator-Splitting Finite Element Method for the Numerical Solution of Radiative Transfer Equation

arXiv
2021-12 | Preprint
Contributors: Maneesh Kumar Singh; Sashikumaar Ganesan
Source: Self-asserted source
Maneesh Kumar Singh

Robust computational method for singularly perturbed system of parabolic convection‐diffusion problems with interior layers

Computational and Mathematical Methods
2021-11 | Journal article
DOI: 10.1002/cmm4.1146
Contributors: Srinivasan Natesan; Maneesh K. Singh
Source: check_circle
Crossref
grade
Preferred source (of 2)‎

A unified study on superconvergence analysis of Galerkin FEM for singularly perturbed systems of multiscale nature

Journal of Applied Mathematics and Computing
2021-06-10 | Journal article
DOI: 10.1007/s12190-020-01434-4
Contributors: Maneesh Kumar Singh; Gautam Singh; Srinivasan Natesan
Source: check_circle
Crossref
grade
Preferred source (of 2)‎

Numerical solution of 2D singularly perturbed reaction–diffusion system with multiple scales

Computers & Mathematics with Applications
2020-08 | Journal article
DOI: 10.1016/j.camwa.2020.04.028
Contributors: Maneesh Kumar Singh; Srinivasan Natesan
Source: check_circle
Crossref
grade
Preferred source (of 2)‎

A parameter-uniform hybrid finite difference scheme for singularly perturbed system of parabolic convection-diffusion problems

International Journal of Computer Mathematics
2020-04-02 | Journal article
DOI: 10.1080/00207160.2019.1597972
Contributors: Maneesh Kumar Singh; Srinivasan Natesan
Source: check_circle
Crossref
grade
Preferred source (of 2)‎

A robust computational method for singularly perturbed system of 2D parabolic convection-diffusion problems

International Journal of Mathematical Modelling and Numerical Optimisation
2019 | Journal article
DOI: 10.1504/ijmmno.2019.098778
Part of ISSN: 2040-3607
Part of ISSN: 2040-3615
Source: Self-asserted source
Maneesh Kumar Singh
grade
Preferred source (of 2)‎

A finite element superconvergence approximations for singularly perturbed system of convection-diffusion problems

AIP Conference Proceedings
2018 | Conference paper
DOI: 10.1063/1.5042186
EID:

2-s2.0-85048871136
Contributors: Singh, M.K.; Natesan, S.
Source: Self-asserted source
Maneesh Kumar Singh via Scopus - Elsevier

Richardson extrapolation technique for singularly perturbed system of parabolic partial differential equations with exponential boundary layers

Applied Mathematics and Computation
2018 | Journal article
DOI: 10.1016/j.amc.2018.03.059
EID:

2-s2.0-85045320506
Contributors: Singh, M.K.; Natesan, S.
Source: Self-asserted source
Maneesh Kumar Singh via Scopus - Elsevier
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