Researcher · Computational Mathematics

Anjaly
Anand

Doctor of Philosophy

Advancing finite element methods for partial differential equations on complex domains, with a focus on rigorous error analysis and scientific computation.

Finite Element Methods Parabolic PDEs Numerical Analysis Scientific Computing
Publications Contact
Anjali Anand PhD Mathematics
Anjaly Anand, PhD
NIT Calicut · Dept. of Mathematics
9 Papers
2 Intl. Grants
2 Conferences
∂u/∂t = ∇²u + f(u)
||u − u₀|| ≤ C·hᵏ
Ω ⊂ ℝⁿ, T ∈ 𝒯₁
01 · About

Researcher, Educator and Scholar

Bridging rigorous mathematical theory and computational practice.

Anjaly Anand is a doctoral researcher in computational mathematics at NIT Calicut, specialising in finite element methods for partial differential equations on complex domains.

Her research focuses on developing and analysing finite element method variants for parabolic PDEs, with particular attention to non-convex geometries. This work involves deriving theoretical error estimates, designing and executing numerical experiments, and validating proposed methods through large-scale computational simulations.

As an educator, she has taught undergraduate and postgraduate courses in Statistical Methods for Engineers, Business Statistics, and Numerical Analysis at Amrita School of Arts and Sciences. Her approach emphasises conceptual clarity and active problem-solving.

Her work has been presented at international forums including the AWM Research Symposium at the University of Wisconsin–Madison, USA, and the International Conference on Computations and Data Science at IIT Roorkee, supported by competitive grants from the NSF and ANRF.

Research Focus
Composite Finite Element Methods
Parabolic PDEs on Complex Domains
Semilinear Evolution Equations
Numerical Error Analysis and Convergence
Scientific Computing and Simulation
Teaching Areas
Numerical Analysis
Statistical Methods for Engineers
Business Statistics
Society Membership
Ramanujan Mathematical Society (Lifetime)
02 · Career and Education

Academic Journey

A trajectory shaped by rigorous scholarship and a commitment to advancing knowledge.

Current · Doctoral Research
Research Fellow, PhD
Department of Mathematics, National Institute of Technology Calicut
Doctoral research in computational mathematics, specialising in composite finite element frameworks for parabolic partial differential equations. Work encompasses theoretical development, derivation of error estimates, numerical experimentation, and peer-reviewed publication of findings.
Teaching
Assistant Professor, Mathematics
Amrita School of Arts and Sciences, Kochi
Delivered undergraduate and postgraduate instruction in Statistical Methods for Engineers, Business Statistics, and Numerical Analysis. Responsibilities included curriculum delivery, assessment design, tutorial coordination, and academic mentoring.
Teaching · Ad-hoc
Ad-hoc Faculty, Mathematics
National Institute of Technology Calicut
Contributed to teaching activities within the Department of Mathematics at NIT Calicut.
Postgraduate
M.Sc. Tech. in Mathematics
National Institute of Technology Calicut
Postgraduate specialisation in applied and computational mathematics, providing the foundation for doctoral research.
Undergraduate
B.Sc. Mathematics
Calicut University
Undergraduate foundation in pure and applied mathematics.
Broadcasting
Casual Announcer and Choral Group Member
All India Radio, Calicut
Served as a broadcast announcer and participated in the Children's Choral Group, reflecting an early engagement with communication and the performing arts.
03 · Research Output

Publications

Peer-reviewed journal articles, book chapters, and conference contributions.

2025
Application of the Composite Finite Element Framework for Evolution Equation with Nonsmooth Kernel in Smooth Domain Journal
Anand, A. and Pramanick, T.
International Journal of Computational Methods · Vol. 23(3), 2550061
2025
Application of the Composite Finite Element Framework for Evolution Equation Book Chapter
Anand, A. and Pramanick, T.
Applied Mathematics and Mechanics · Springer Nature Singapore · pp. 391–412
2024
Application of a Finite Element Method Variant in Nonconvex Domains to Parabolic Problems Journal
Anand, A., Pramanick, T. and Das, A.
Finite Elements in Analysis and Design · Vol. 242, 104265
2024
Adaptation of the Composite Finite Element Framework for Semilinear Parabolic Problems Journal
Anand, A. and Pramanick, T.
Journal of Numerical Analysis and Approximation Theory · Vol. 53(1), pp. 130–157
2021
Forecasting Prominent, Fluctuating and Declining Stock Prices Using a Numerical Approach
Kavya, M., Silvester, Renu. and Anand, A.
Turkish Journal of Computer and Mathematics Education · Vol. 12(10), pp. 1289–1296
2020
An Analysis Using Numerical Techniques on Weather Forecasting and the Affecting Factors: Rainfall and Temperature
Kavya, P., John, L. and Anand, A.
International Journal of Advanced Science and Technology · Vol. 29(7)
2019
Numerical Experimentation Research in Optimising the Signal Rate and Related Factors on Traffic Flow
Athira, N. and Anand, A.
International Journal of Recent Technology and Engineering · Vol. 8(2)
2018
Forecasting Crude Oil Prices and Their Effects: A Numerical Approach
Varghese, A., Keerthana, A. and Anand, A.
International Journal of Pure and Applied Mathematics · Vol. 119(10), pp. 607–615
 
Numerical Methodologies for Higher-Index Differential–Algebraic Equations
Anand, A. and Awasthi, A.
International Journal of Scientific and Engineering Research · ISSN 2229-5518

Conference Presentations

Poster presentation at AWM Research Symposium, University of Wisconsin-Madison
Poster Presentation · International
Association for Women in Mathematics Research Symposium
University of Wisconsin–Madison, USA
Supported by NSF Travel Grant
Paper presentation at International Conference on Computations and Data Science, IIT Roorkee
Paper Presentation · International
International Conference on Computations and Data Science
Indian Institute of Technology Roorkee, India
Supported by ANRF International Travel Grant
04 · Recognition

Awards and Positions Held

Competitive recognitions, international grants, and professional credentials.

🇺🇸
NSF Travel Grant
Recipient of a travel grant funded by the National Science Foundation, USA, enabling participation in the AWM Research Symposium at the University of Wisconsin–Madison.
🇮🇳
ANRF International Travel Grant
Awarded the International Travel Support Grant by the Anusandhan National Research Foundation (formerly SERB), Department of Science and Technology, Government of India.
🏆
Children Foundation Scholarship
Recipient of the Children Foundation Scholarship 2007, awarded by Laksmi Rajeev Trust, Chennai, in recognition of academic merit.
🎓
Postgraduate Student Representative
Elected Postgraduate Student Representative to the Students' Affairs Council, NIT Calicut, serving the academic and welfare interests of the postgraduate student community.
🤝
NSS Volunteer
National Service Scheme Volunteer, Calicut University, contributing to community outreach and social service initiatives.

Competitive Examinations

📝
National Eligibility Test (UGC-NET)
University Grants Commission, India
📋
Graduate Record Examinations (GRE)
Educational Testing Service, USA

Society Membership

Σ
Ramanujan Mathematical Society
Lifetime Member
05 · Beyond Research

Interests and Pursuits

A glimpse into the pursuits that enrich perspective and fuel curiosity.

Anjaly Anand in classical dance
Bharatanatyam · Kuchipudi
Classical Dance
Trained in Bharatanatyam and Kuchipudi, two of India's most revered classical traditions, where disciplined technique meets expressive artistry.
🏔
Travel and Hiking
An avid traveller and hiker who finds new perspectives through landscapes and cultures, a spirit of exploration that extends naturally to intellectual life.
🌐
Learning Languages
Enthusiastically learning new languages, reflecting a genuine curiosity for human communication and cross-cultural connection.
🎤
Broadcasting
Former announcer and choral group member at All India Radio, Calicut, with a background in public communication that informs clarity in teaching and presentation.
06 · Contact

Get in Touch

"Anjaly welcomes research collaborations, academic opportunities, and scholarly exchanges across disciplines and borders."

Department of Mathematics
National Institute of Technology Calicut
Kerala, India — 673 601

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ORCID 0009-0004-2767-0466
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