Mathematics

Email: vijithamukundan@sacredheartcollege.ac.in

Education

• Ph. D. from NIT Calicut
• M. Sc. from St. Thomas College, Thrissur
• B. Sc. from Vimala College, Thrissur

Teaching Experience

Royal College of Engineering and Technology, Akkikavu

Vidya Academy of Science and Technology, Thalakkotukara

• Numerical analysis
• Modelling
• Simulation
• Computational methods for ordinary and partial differential equations
• Advanced numerical techniques and perturbation theory.

• Nominated as University representative to the Boards of Studies of St. Mary’s College (Autonomous),Thrissur for a period of three years (2024-2027).
• Developed a free online SWAYAM course and served as a Course coordinator & Subject expert for the course on “PDE and Systems of ODE” CEC, UGC during 31 July 2023 – 31 October 2023.
• Appointed as Master Trainer-Digital Media and Information Literacy Campaign, An initiative of the dept. of higher education, Govt. of Kerala on January 2022.
• Served as a member of the Board of Studies in Mathematics (Alumnae representative), of Vimala College (Autonomous), Thrissur for a period of three years (2020-2023).
• Resource Person for the SWAYAM PRABHA DTH Channel-08 Aryabhatt in Complementary Mathematics during July 2021.
• Received certificate of appreciation for chairing a Technical Session in the virtual web “International Conference on Computational Sciences – Modelling, Computing and Soft Computing” conducted online by the Department of Mathematics of National Institute of Technology Calicut, Kerala during September 10-12, 2020.

1. Vijitha Mukundan, Ashish Awasthi, “Efficient numerical techniques for Burgers’ equation”, Applied Mathematics and Computation, Elsevier, 262, (2015), 282-297, (SCI Indexed).
2. Vijitha Mukundan, Ashish Awasthi, “Linearized implicit numerical method for Burgers’ equation”, Nonlinear Engineering Modelling and Applications, De Gruyter, 5(4), (2016), 219-234, (Scopus Indexed).
3. Vijitha Mukundan, Ashish Awasthi, “A higher order numerical implicit method for non-linear Burgers’ equation”, Differential Equations and dynamical Systems, Springer, 25(2), (2017), 169-186, (Scopus Indexed).
4. Vijitha Mukundan and Ashish Awasthi, “Comparative study of three level explicit and implicit numerical scheme for convection diffusion equation”, Mathematical and Computationl Sciences, Proceedings of ICMACS-2015 published by NAROSA Publishing House, ISBN 978-81-8487-456-3.
5. Mayur P Bonkile, Ashish Awasthi, Lakshmi C, Vijitha Mukundan and Aswin V S “A systematic literature re- view of Burgers’ equation with recent advances”, Pramana-Journal of Physics, 90(6), (2018), 69 (SCI Indexed).
6. Vijitha Mukundan, Ashish Awasthi, “Numerical techniques for unsteady nonlinear Burgers’ equation based on backward differentiation formulas”, Nonlinear Engineering Modelling and Applications, De Gruyter, 7(3), (2018), 171-181 (Scopus Indexed).
7. Vijitha Mukundan, Ashish Awasthi, “Numerical treatment of the Modified Burgers’ equation via backward differ- entiation formulas of order two and three”, International Journal of Nonlinear sciences and numerical simula- tion, De Gruyter, 19 (7-8), (2018), 669-680, (Scopus Indexed).
8. Vijitha Mukundan, Ashish Awasthi, Aswin V S “Multistep methods for the numerical simulation of two-dimensional Burgers’ Equation”, Differential Equations and Dynamical Systems, https://doi.org/10.1007/s12591-019- 00468-w, (2022), Springer, (Scopus Indexed).

1. Vijitha Mukundan, Ashish Awasthi,“An unconditionally stable explicit method for Burgers’ equation”, National Conference on Recent Trends in Analysis and Applied Mathematics organized by the Department of Mathematics, NIT Trichy, during 09-10 May, 2013.
2. Vijitha Mukundan, Ashish Awasthi, “Numerical implementation of BDF-2 via method of lines for time dependent nonlinear Burgers’ equation”, National Conference on Mathematical Modelling and Soft Computing, College of Engineering Vadakara, during 25-26, September 2014.
3. Vijitha Mukundan, Ashish Awasthi, “Comparative study of three level explicit and implicit numerical scheme for convection-diffusion equation “, International Conference on Mathematical and Computational Sciences (ICMACS-2015) held at Don Bosco College, Angadikadavu, Kannur during 22-24, January 2015.
4. Vijitha Mukundan, Ashish Awasthi, Krishnakumar R “An explicit scheme for nonlinear Burgers’ equation”, International Conference on Emerging Trends in Scientific Computing and Security Systems at Royal College of Engineering and Technology, Akkikavu, Thrissur during 26-28, March 2015.
5. Vijitha Mukundan, Ashish Awasthi and Aswin V S “Multistep methods for the numerical simulation of twodimensional Burgers’ equation”, International Conference on Mathematical Modeling and Computational Methods in Science and Engineering jointly organized by Ramanujan Centre for Higher Mathematics & Department of Mathematics at Alagappa University, Karaikudi during 20-22, February 2017.

• Three day Faculty Orientation Program for Student Induction organized by the University Grants Commission (Ministry of HRD) South Western Regional Office, Bengaluru from 30 May 2019 to 01 June 2019 held at Indian Institute of Science, Bengaluru.
• A 4-Week Induction/Orientation Programme for “Faculty in Universities/Colleges/Institutes of Higher Education organised by Teaching learning centre, Ramanujan College University of Delhi under the aegis of MHRD and PMMMNMTT from June 04 – July 01, 2020.

• Attended One Week national level online hands-on FDP on Data analytics with Mathematics & Python organized by Indian Mathematics Professors Association and Infinity research and development Institute, Coimbatore during 24-11-2025 to 28-11-2025.
• Participated in the Indo – French workshop on “ Innovative Numerical Methods for Modern engineering problems” organized by the Department of Mathematics, IIT Roorkee during 06-11 January 2025.
• NPTEL-AICTE FDP on “Ordinary and Partial Differential Equations” funded by Ministry of HRD, Govt. of India from July-October 2018.
• FDP on “Moodle Learning Management System ” organised by Sacred Heart College Chalakudy in collaboration with Spoken Tutorial Project, IIT Bombay from 27 -31 October 2020.
• Completed one week national online faculty development program on “Digital Tools in Learning” organised by Guru Angad Dev Teaching Learning Centre under PMMMNMTT from 23 November – 27 November 2020.
• Completed one week FDP on “The Art of Framing Questions – Applying Bloom’s Taxanomy” organized under UGC-MHRD-STRIDE by MG University, Kottayam in association with Sree Sankara College, Kalady from 7-12 June 2021.

• Delivered an invited lecture in International Conference on Applied Mathematics & Data science on the topic ‘Harnessing Backward Differentiation Formulas for Nonlinear PDE Simulation’ organised by MG University Kottayam and Advanced Mathematical Innovation Center for AI and Scientific Computing on 28 February, 2026.
• Served as Judge in the Thrissur Sahodaya STEM EXPO 2025 organized by the IES Public School Chittilappilly on 18 November 2025.
• Served as Judge in the Kerala School Sashthrolsavam 2025-26 (Maths Fair) conducted by the Department of General Education, Govt. of Kerala, at MES Olavakkode, Palakkad, on 9th November 2025.
• Served as a resource person for the Faculty Development Program, Royal Enrichment Drive 2024 and delivered a session on the topic “Application of Mathematics in Professional Life” organized by IQAC, TLC and ISTE on 22 November, 2024 at Royal College of Engineering & Technology, Akkikavu, Thrissur.
• Delivered an invited talk on “An Introduction to Computational Methods for PDE” during Association Inauguration of Department of Mathematics, Little Flower College, Guruvayoor on 18 October, 2024.
• Delivered online lectures on “Basic concepts in ODE and PDE” and “Analytical solutions of ODE and PDE” in the Lecture series in connection with the Course work 2024 organized by the Department of Mathematics, Research Advisory Committee and IQAC of Maharaja’s College, Ernakulam on 28 May, 2024 and 31 May 2024.
• Delivered lectures on ” Basic concepts in ODE and PDE” and “Analytical solutions of PDE” in the Lecture series in connection with the Course work 2023 organized by the Department of Mathematics, Research Advisory Committee (RAC), IQAC of Maharaja’s College, Ernakulam and Institute of Mathematics Research and training (IMRT) Trivandrum on 22 May, 2023.
• Delivered an  invited lecture on the topic “An Introduction to Perturbation Theory” in the seminar organized by the PG Department of Mathematics of Sree Narayana College Nattika on 24 February, 2023.
• Delivered a lecture on “Elliptic Equations” in the National Level Workshop on “Partial Differential Equations and Applications-PDEA 2022” organised by Department of Mathematics, Sree Kerala Varma College, Thrissur on 3 December, 2022.
• Resource person for Faculty Development Induction Program – Royal Quality Enrichment Drive organized by IQAC, TLC & ISTE – RCET on 11 November, 2022.
• Evaluated the project presentation for Illumino Math Award (Best M.Sc Mathematics Project for the year 2021-22) instituted by Marian Research Centre for Mathematics, St. Mary’s College, Thrissur on 15 October, 2022.
• Delivered a lecture on “Introduction to Fractional Calculus” organised by the Department of Mathematics St. Mary’s College, Thrissur on 3rd August 2020.
• Resource person in the National Enrichment Program in Mathematics (NEPM 2020) organised by the Department of Mathematics, Sacred Heart College Chalakudy during 15 July 2020 to 24 July 2020.
• One of the resource person of the three day lecture series on “Applied Mathematics for Electronics Engineers” organized by the Department of Electronics and Communication Engineering, RCET, Akkikavu during February 15-17, 2018.

• Anti Narcotics cell Co-ordinator
• OBE Co-ordinator
• Research Forum Member
• NSS Programme Officer
• Coordinator- Electoral Literacy Club
• Coordinator- Red Ribbon Club
• Master Trainer – Digital Media and Information Literacy Campaign
• Coordinator – Student Induction Programme
• Chief Editor – College Magazine
• Coordinator- Women’s Cell