Sant Longowal Institute of Engineering & TechnologyDr. V. Mishra |

Dr. V. Mishra

Academic Identity Links

Academic Identity

I: CURRENT RESEARCH AREAS:

a) History of Mathematics/Mathematical Education
b) Wavelet Analysis
c) Discrete Fourier Transform/Numerical Laplace Transform

d) Number Theory & Cryptography
e) Artificial Neural Networks/Data Science

II. SPECIAL ACHIEVEMENTS AND HONOURS:

1. Shortlisted for Vice Chancellor position of Jharkhand University of Technology Ranchi [Letter Number: JUT/744 dated 19/04/2023]

2. Chief Guest of Inaugural Function: “Workshop on Ramanujan and Development of Mathematics” organised by Government Kamladevi Rathi Girls PG College, Rajnandgaon (Chhattisgarh) on December 21, 2021 (Supported by Chhattisgarh Council of Science and Technology and National Council for Science and Technology Communication)

3. Chief Guest of Valedictory Function: “Refresher Course on Mathematical & Computational Techniques for Real World Problems” organised by UGC-HRDC, Guru Ghasidas Vishwavidyalaya (a central university), Bilaspur (Chattisgarh) during December 04-16, 2023

4. Honoured by His Holiness Sankaracarya of Kanchi Kamkoti Peetham: “National Conference on History and Development of Mathematics” was organised by Sri Chandrasekharendra Saraswathi Viswa Mahavidyalaya (Deemed University), Kanchipuram (Tamil Nadu) during November 27-29, 2018 (in collaboration with Madras Sanskrit Academy, Indian Society for History of Mathematics and National Mission for Manuscripts, New Delhi). His Holiness Sankaracarya Shri Sankara Vijayendra Saraswathi blessed myself and three other professors in his Kanchi Peetham (Kanchipuram) by facilitating customary silk shawls and offering publications of his organisation.

5. Facilitation in the First Alumni Meet of Mathematics Department of Kurukshetra University. The oldest University of Haryana, Kurukshetra University facilitated me in its first alumni meet of Department of Mathematics held on 7th April 2024 in presence of my teachers who taught me during my M.Sc. (Mathematics) (1989-1991). Meet was graced by the Vice Chancellors of Kurukshetra University and JC Bose University of Science and Technology.

III. MEMBERS OF BOARD OF MANAGEMENT, BOARD OF STUDIES AND FELLOWSHIP:

1. Member: Postgraduate Board of Studies in Mathematics, Kurukshetra University (October 2021-October 2023)

(i) Participated in four BOS meetings-one in each semester, and

(ii) Delivered an invited lecture “Certain Aspects of Indian Geometry: Conceptualisation, Later Developments and Applications” to M.Sc. (Maths) students

(iii) Set question papers for postgraduate examinations

2. Member: Board of Management, SLIET (Deemed University) (December 2021-December 2022)

(i) Attended in Board Meetings, and

(ii) Participated in Faculty Selection Committee Meetings

3. Fellow (post-doctoral): Indian Institute of Advanced Study, Shimla (November 1999-November 2000)

(i) Worked on approved research project) and submitted research monograph,

(ii) Delivered weekly Seminar-“Geometry Relating to Circles and Spheres”,

(iii) Chaired one Weekly Seminar, and

(iv) Participated in Board Meetings as ex officio Member of Indian Institute of Advanced Study Society

4. Research Scholar (PhD): Physical Research Laboratory, Ahmedabad (August-October 1992)

5. Expert Panel: Uttarakhand Public Service Commission

IV. PROFILE LINKS:

https://scholar.google.co.in/citations?user=2bvdTX4AAAAJ&hl=en

https://www.researchgate.net/profile/Vinod-Mishra

https://www.webofscience.com/wos/author/record/485044

https://www.scopus.com/authid/detail.uri?authorId=57189588769

https://orcid.org/0000-0002-9979-8627

Experience

I. ACADEMIC AND ADMINISTRATIVE ASSIGNMENTS:

(i) Former Head (Department of Mathematics), SLIET (Deemed University) (more than three years)

(ii) Former Faculty In-charge (SGA), SLIET (Deemed University) (two years)

(iii) Other Assignments Undertaken at SLIET (Deemed University): Departmental Examination Coordinator (two years); Departmental Placement Coordinator (two years); Departmental IQAC Coordinator (two years)

II. TEACHING EXPERIENCE:

(i) PG (M.Sc. Maths) teaching: Wavelet Analysis; Classical Mechanics; Fluid Dynamics; Theoretical Seismology

(ii) UG (B.E.) teaching: Applied & Engineering Mathematics; Numerical Analysis; Statistics & Operations Research

(iii) PhD Course Work: Wavelet Analysis; Matrix Analysis; Advanced Numerical Analysis

III. INDUSTRIAL EXPOSURE:

Five months of industrial exposure at Chandigarh (1994), Dehradun (2014) and Patiala (2015)

IV. PROGRAMS ORGANIZED:

A. Invited Lectures Arranged:

(i) Prof. Oscar Joao Abdounur, University of Sao Paulo, Brazil, 2011 [(i) “Relations between Mathematics and Music in Scientific Dissemination Context”, (ii) “Arithmetization of Mathematical Ratios in the Middle Ages and Renaissance: A Historic Didactical Approach”];

(ii) Prof. Bhudev Sharma (Retd), Clark Atlanta University, USA, 2015 [“Information Theory and its Applications” held under TEQIP-II];

(iii) Prof. Mamta Rani, Central University of Rajasthan, 2023 [“Fractals and Chaos”]

B. Short-Term Course/Workshop/Day Programs Organized:

(i) National Workshop on Computational Aspects of Mathematics (2006) as Chairman (Report: University News, Vol. 44, No. 27, July 03-09, 2006)

(ii) National Seminar on Statistics and Its Applications (2007) as Chairman (Report: University News, Vol. 45, No. 13, March 26-April 01, 2007)

(iii) National Science Week 2014 (Quiz, Poster Presentation & Seminar) as Convener

(iv) Earth Day 2022 (Poster Competition & Seminar) as Convener

(v) Earth Day 2023 (Quiz, Poster Competition & Seminar) as Convener (Report: Anshumat-SLIET Newsletter, Volume 6, No. 2, July 2023, Page 5)

(vi) Earth Day 2024 (Quiz, Poster Competition, Oral/PPT presentation & Seminar) as Convener (Report: http://www.dailysuraj.com, May 01, 2024, page 2)

Book Authored

Book authored

1. REFERENCE-CUM-TEXT BOOK:

(i) Theory of Transforms with Applications, Ane Books Pvt Ltd, New Delhi, 2017, Pages 370 (Hardcover) (Price Rs 1995/-) ISBN 978-93-8546-260-3 (sole author)

Chapters: i) Fourier Series,ii) Continuous Fourier Transform, iii) Discrete and Fast Fourier Transforms, iv) Laplace Transform, v) Numerical Inverse Laplace Transform,vi) Mellin Transform, vii) Hankel Transform, viii) Legendre Transform and ix) Z Transform
Appendix Bibliography Index

One Chapter of this book is referenced as a course of study in M.Sc. (Maths) Syllabus of Classical Mechanics at SLIET (Deemed University)

2. EDITED BOOK CHAPTERS:

(i) Fibonacci Sequence: History and Modern Applications, in: History and Development of Mathematics in India (Proceedings of CHDM Kanchipuram, 2018), National Mission for Manuscript and DK Printword (P) Ltd, New Delhi, 2022 , pp. 155-180. ISBN 978-93-80829-70-8 https://www.namami.gov.in/books/samikshika

(ii) Magic Squares in Indian Mathematics: Constructions and Properties, in: Understanding Values and Ethics in Shrinking World (Proceedings of VICUVESW, Central University of Rajasthan, 2022), Bloomsbury Publishing, UK, 2022, pp. 12-21. ISBN 978-93-54358-94 https://www.bloomsbury.com/in/search/?q=Mamta%20Rani

Award

I. INVITED LECTURES/TALKS DELIVERED [50] during international, national and regional conferences, faculty development programs and guest lectures [topics: Ancient Indian Mathematics; Wavelet Analysis; Numerical Laplace Transform; Number Theory & Cryptography]:

1. Institutes of National Importance:

(a) Inter-University Centre for Astronomy & Astrophysics, Pune (Maharashtra) (1999)

(b) Indian Institute of Advanced Study, Shimla (Himachal Pradesh) (2000);

(c) National Centre for Mathematics (IITB-TIFR Joint Venture), Mumbai (Maharashtra) (2013);

(d) IIT Bombay, Mumbai (Maharashtra) (2015);

(e) NIT Manipur, Imphal (Manipur) (2016);

(f) NIT Uttarakhand, Srinagar (Uttarakhand) (2019)

2. Central Universities:

(a) HNB Garhwal University, Srinagar (Uttarakhand) (2016);

(b) Sikkim University, Gangtok (Sikkim) (2018);

(c) Jawaharlal Nehru University, New Delhi (2020);

(d) Central University of Rajasthan, Ajmer (Rajasthan) (2022);

(e) Guru Ghasidas Vishwavidyalaya, Bilaspur (Chhattisgarh) (2023)

3. State Universities:

(a) Pt Ravishankar Shukla University, Raipur (Chhattisgarh) (2003);

(b) Chandigarh University, Mohali (Punjab) (2015);

(c) Bundelkhand University, Jhansi (Uttar Pradesh) (2018);

(d) Vikram University, Ujjain (Madhya Pradesh) (2021);

(e) Kurukshetra University, Kurukshetra (Haryana) (2023);

(f) Sri Dev Suman Uttarakhand University, Tehri (Uttarakhand) (March, May & June 2024)

4. Deemed to be Universities:

(a) Gurukula Kangri Vishwavidyalaya, Haridwar (Uttarakhand)(1995, 1998, 2003 & 2020);

(b) Sri Chandrasekhrendra Saraswathi Viswa Mahavidyalaya, Kanchipuram (Tamil Nadu) (2018);

(c) Graphic Era University, Dehradun (Uttarakhand) (2011 & 2013);

(d) Sant Longowal Institute of Engineering & Technology, Longowal (Punjab) (2013, 2019 & 2023)

5. Postgraduate Colleges:

(a) Ramjas College (University of Delhi), Delhi (2001);

(b) DAV (PG) College, Kanpur (Uttar Pradesh) (2011 & 2022);

(c) Govt. Autonomous Digvijay (PG) College, Rajnadgoan (Chhattisgarh) (2014);

(d) Sri Sai College of Engineering & Technology, Pathankot (Punjab) (2015);

(e) Govt. Kamladevi Rathi Girls (PG) College, Rajnadgaon (Chhattisgarh) (2020 & 2021);

(f) Govt. Geetanjali Girls PG College (Autonomous), Bhopal (Madhya Pradesh) (2024)

6. Overseas Universities:

(a) Tribhuvan University (2013);

(b) National University of Singapore (2005)

II. TECHNICAL SESSIONS CHAIRED

International Conferences: 08

National Conferences: 12

III. REVIERS OF JOURNALS:

American Mathematical Society (Mathematical Reviews/MathSciNet); Springer Nature; Elsevier; IEEE; MDPI

Publications

Selected publications with links (SCOPUS/WOS/SCI-Expanded/UGC CARE/ MathSciNet/ZbMATH/ CrossRef/Semantic Scholar indexed journals) are given below. Citations reported are over 575, H-index 14, and i10-index 17.
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Research publications (nearly 60) in the following specialisations:

I. ANCIENT INDIAN (VEDIC) MATHEMATICS

Ancient, Medieval and Pre-modern Mathematics: Arithmetic, Algebra, Geometry, Trigonometry and Number Theory) (my own doctoral and post-doctoral research domain)

II. APPLIED, COMPUTATIONAL AND ENGINEERING MATHEMATICS

a. Wavelet Analysis (Wavelet Galerkin and Collocation Techniques) (two doctoral dissertations awarded; three continue)
b. Numerical Laplace Transform (Numerical Laplace Transform Inversion using Orthogonal Polynomials) (one doctoral dissertation awarded)
c. Matrix Algebra, Number Theory & Cryptography (Indeterminate Analysis & Modular Forms; Fibonacci & Narayana Like Sequences; Magic Squares & Cubes; Cryptography) (one doctoral dissertation awarded; one continue)

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CATEGORY-1: WEB OF SCIENCE (SCI EXPANDED) AND SCOPUS INDEXED JOURNALS BOTH
1.    Haar Wavelet Approximation Solutions for the Generalized Lane Emden Equations Arising in Astrophysics, Computer Physics Communications (Elsevier) 184 (2013), 2169-2177.     [SCIE, IF-6.3; SJR, 1.729]   [Citations: 73] http://dx.doi.org/10.1016/j.cpc.2013.04.013
2.    Haar Wavelet Solutions of Nonlinear Oscillator Equations, Applied Mathematical Modelling (Elsevier) 38 (2014), 4958-4971. [SCIE, IF-5.0; SJR, 1.876] [Citations: 37] http://dx.doi.org/10.1016/j.apm.2014.03.019
3.    Haar Wavelet Based Numerical Investigation of Coupled Viscous Burgers Equation, International Journal of Computer Mathematics (Taylor & Francis) 92 (2015), 1643-1659.    [SCIE, IF-1.8; SJR, 0.456]    [Citations: 28] https://www.tandfonline.com/doi/full/10.1080/00207160.2014.957688
4.    Numerical Inversion of Laplace Transform based on Bernstein Operational Matrix, Mathematical Methods in the Applied Sciences (Wiley & Sons) 41 (2018), 9231-9243.   [SCIE, IF-2.9; SJR, 0.666] [Citations: 14]
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.5188
5.    Numerical Inverse Laplace Transform for Solving a Class of Fractional Differential Equations, Symmetry-Basel (MDPI) 11 (2019), No. 530, 1-20. [SCIE, IF-2.7; SJR, 0.33] [Citations: 27]
https://www.mdpi.com/2073-8994/11/4/530
6.    Numerical Inverse Laplace Transform based on Bernoulli Polynomials Operational Matrix for Solving Nonlinear Differential Equations, Results in Physics (Elsevier) 16 (2020), No. 102836, 1-7. [SCIE, IF-5.3; SJR, 0.45] [Citations: 42]   https://doi.org/10.1016/j.rinp.2019.102836
7.    Laplace Transform Inversion using Bernstein Operational Matrix of Integration and its Application to Differential and Integral Equations, Proceedings of National Academy of Sciences – Mathematical Sciences (Springer) 130 (2020), No. 60, 1-29. [SCIE, IF-0.3; SJR, 0.31] [Citations: 06]
https://doi.org/10.1007/s12044-020-0573-x
8.    Grayscale and Colored Image Encryption Model using a Novel Fused Magic Cube, Nonlinear Dynamics (Springer) 108 (2022), 1773-1796. [SCIE, IF-5.6; SJR, 1.25] [Citations: 28]   https://doi.org/10.1007/s11071-022-07276-y
9.    Piecewise Symmetric Magic Cube: Application to Text Cryptography, Multimedia Tools and Applications (Springer) 82 (2023), 19369–19391. [SCIE, IF-3.6; SJR, 0.716]   [Citations: 01] https://doi.org/10.1007/s11042-022-14153-8
10. Image Encryption Model based on Novel Magic Square with Differential Encoding and Chaotic Map, Nonlinear Dynamics (Springer) 111 (2023), 2869-2893. [SCIE, IF-5.6; SJR, 1.25] [Citations: 20]
https://doi.org/10.1007/s11071-022-07958-7

CATEGORY-2: SCOPUS INDEXED JOURNALS
1.    Wavelet-Galerkin Solutions of Ordinary Differential Equations, International Journal of Mathematical Analysis (Hikari) 5 (2011), 407-424. [SJR, 0.211] [Citations: 42]
http://www.m-hikari.com/ijma/ijma-2011/ijma-9-12-2011/mishraIJMA9-12-2011.pdf
2.    Haar Wavelet Approach for Solving Nonlinear Differential and Integral Equations, Neural, Parallel and Scientific Computations 22 (2014), 421-430. [SJR, 0.127] [Citations: 0]
https://www.dynamicpublishers.com/Neural/NPSC2014/NPSC-21-2013-3/NPSC-CNLS-13.pdf
3.    Newton-Raphson based Modified Laplace Adomian Decomposition Method for Solving Quadratic Ricatti Differential Equations, Matec Web of Conferences 57 (2016), 05001, 1-4. [SJR, 0.130] [Citations: 11] [WOS(CPCI)] https://doi.org/10.1051/matecconf/20165705001

4. Solving Linear Fractional Order Differential Equations by Chebyshev Polynomials based Numerical inverse Laplace Transform, Mathematics in Engineering, Science and Aerospace 10 (2019), 781-791. [SJR, 0.163] [Citations: 11] http://www.nonlinearstudies.com/index.php/mesa/article/view/2077

5. Moment of Inertia of Generalized Magic Cubes, AIP Conference Proceedings, Vol. 2352, 2021, No. 030002; 1-5. [SJR, 0.190] [WOS (CPCI)] [Citations: 0] https://doi.org/10.1063/5.0052389

6. On the Frobenius and lp Norm of Circulant Matrices with Ducci Sequences and Gaussian Fibonacci Numbers, AIP Conference Proceedings, Vol. 2352, No. 030012, 1-5. [SJR, 0.190] [WOS (CPCI)] [Citations: 02] https://doi.org/10.1063/5.0052565

7. Bernoulli Wavelet Method for Numerical Solution of Anomalous Infiltration and Diffusion Modeling by Nonlinear Fractional Differential Equations of Variable Order, Results in Applied Mathematics (Elsevier) 10 (2021), No. 100146, pp.1-13. [SJR, 0.69] [Citations: 34] [ESCI, IF-2.0] https://doi.org/10.1016/j.rinam.2021.100146
8. Behaviour of Powers of Odd Ordered Special Circulant Magic Squares, International Journal of Mathematical Education in Science and Technology (Taylor & Francis) 53 (2022), 1044-1062. [ESCI, IF-0.9; SJR, 0.630] [Citations: 05] https://doi.org/10.1080/0020739X.2021.1890846

9. Ways of Constructing Multiplicative Magic Cubes, Proceedings in Mathematics and Statistics (FIAM 2021) (Springer) 410 (2023), 79-86. [SJR, 0.204] [Citations: 0] https://link.springer.com/book/10.1007/978-981-19-7272-0
10. Narayana Matrix Sequence, Proceedings of the Jangjeon Mathematical Society 25 (2022), 427-434. [SJR, 0.29] [Citations: 02] https://jangjeonopen.or.kr/public/upload/1667612272-pjms25-4-7.pdf

11. Solutions of Equations x2−(p2q2±3p)y2=±kt, Examples and Counterexamples (Elsevier) 2 (2022), No. 100043; 1-4. [SJR, 0.1] [Citations: 01] https://doi.org/10.1016/j.exco.2021.100043

12. Generalized (k,t)−Narayana Sequence, Journal of the Indonesian Mathematical Society 30 (2024),121-138. [ESCI, IF-0.33; SJR, 0.231] [Citations: 0] https://jims-a.org/index.php/jimsa/article/view/1432

CATEGORY-3: WEB OF SCIENCE (ESCI) INDEXED JOURNALS
1. Theorem of Square on the Diagonal in Vedic Geometry and its Application, Indian Journal of History of Science (Indian National Science Academy/ Springer) 31 (1996), 157-166. [Citations: 06] [ESCI, JCI-0.17] [UGC Care]

https://insa.nic.in/writereaddata/UpLoadedFiles/IJHS/Vol31_2_3_VMishra.pdf
2. First Degree Indeterminate Analysis in Ancient India and its Application by Virasena, Indian Journal of History of Science (Indian National Science Academy/Springer) 32 (1997), 127-133. [Citations: 02] [ESCI, JCI-0.17] [UGC Care] https://insa.nic.in/writereaddata/UpLoadedFiles/IJHS/Vol32_2_3_VMishra.pdf

3.    Wavelet Solutions of Parabolic Equations, Matematika: Malaysian Journal of Industrial and Applied Mathematics (University of Technology Malaysia) 26 (2010), 61-69.      [Citations: 02] [ESCI, IF-0.4] https://matematika.utm.my/index.php/matematika/article/view/550/0
4.    Wavelet Solutions and Stability Analysis of Parabolic Equations, Journal of Indonesian Mathematical Society 16 (2010), 69-87.     [Citations: 0] [ESCI, JCI-0.27] http://dx.doi.org/10.22342/jims.16.1.32.69-87
5.    Computing Square Root of N: A Modern Generalization of Ancient Technique, Indian Journal of History of Science (Indian National Science Academy/Springer) 46 (2011), 49-61. [Citations: 03] [ESCI, JCI-0.17] [UGC Care]

https://insa.nic.in/writereaddata/UpLoadedFiles/IJHS/Vol46_1_4_VMishra.pdf
6. Modified Laplace Adomian Decomposition Method for Solving Nonlinear Volterra Integral and Integro-differential Equations based on Newton-Raphson Formula, European Journal of Pure and Applied Mathematics 11 (2018), 202-214. [Citations: 30] [ESCI, IF-0.7] https://doi.org/10.29020/nybg.ejpam.v11i1.2645
7. Solutions of Volterra Integral and Integro-Differential Equations using Modified Adomian Decomposition Method, Journal of Applied Mathematics, Statistics and Informatics (University of Saint Cyril and Metodius/ DeGruyter) 15 (2019), 5-18. [Citations: 27] [ESCI, IF-0.3] https://doi.org/10.2478/jamsi-2019-0001

8. Application of Magic Squares in Cryptography, Proceedings in Adaptation, Learning and Optimization (ICIVC 2021) (Springer) 15 (2022), 321-329. [Citations: 02] [WOS] https://doi.org/10.1007/978-3-030-97196-0_26

CATEGORY-4: UGC CARE/OTHER REPUTED INDEXED JOURNALS
1.    Height and Distance Problems in Ancient Indian Mathematics, Ganita Bharati (Bulletin of Indian Society for History of Mathematics) 18 (1996), 25-30. [Citations: 02]   http://www.researchgate.net/profile/Vinod_Mishra15
2.    Values of pi from Antiquity to Ramanujan, Sugakushi Kenkyu (Journal of History of Mathematics Society of Japan), 1998, No. 157, 12-25. [Citations: 03]
http://www.researchgate.net/profile/Vinod_Mishra15
3.    Incircumscribing Triangles & Cyclic Quadrilaterals in Ancient & Medieval Indian Geometry, Sugakushi Kenkyu (Journal of History of Mathematics Society of Japan), 1999, No. 161, 1-11. [Citations: 03]
http://www.researchgate.net/profile/Vinod_Mishra15

4. Geometry in Rituals, Journal of Natural & Physical Sciences (Gurukula Kangri Vishwavidyalaya) 15 (2001), 159-177. [Citations: 01] http://www.researchgate.net/profile/Vinod_Mishra15

5. Geometry Relating to Circles and Spheres, Studies in History of Medicine and Science (Jamia Hamdard University) 18 (2002), No. 1, 47-106. [Citations: 02] http://www.researchgate.net/profile/Vinod_Mishra15

6. Combinatorics and the (So-called) Binomial Theorem, Studies in History of Medicine and Science (Jamia Hamdard University) 18 (2002), No. 2, 59-121. [Citations: 03] http://www.researchgate.net/profile/Vinod_Mishra15

7. Similarity of Plane Figures and Geometric & Group Theoretic Study of Cyclic Quadrilateral of First Kind, Journal of Natural & Physical Sciences (Gurukula Kangri Vishwavidyalaya) 18 (2004), 69-102. [Citations: 0] http://www.researchgate.net/profile/Vinod_Mishra15

8. Invention of Logarithms, Studies in History of Medicine and Science (Jamia Hamdard University) 20 (2005), 61-93. [Citations: 02] http://www.researchgate.net/profile/Vinod_Mishra15

9.    Haar Wavelet Approach to Fluid Flow Between Parallel Plates, International Journal of Fluids Engineering 4 (2011), 403-410. [Citations: 06] https://www.ripublication.com/irph/volume/ijfev3n4.htm
10.    Wavelet-Galerkin Finite Difference Solutions of ODEs, The Electronic International Journal-Advanced Modeling and Optimization 13 (2011), 539-549. [Citations: 05] https://camo.ici.ro/journal/vol13/v13c13.pdf
11.    Haar Wavelet Quasilinearization Approach for Solving Nonlinear Boundary Value Problems, American Journal of Computational Mathematics 1 (2011), 176-182. [Citations: 43]    https://doi.org/10.4236/ajcm.2011.13020
12.    Wavelets and the Evaluation of Filter Coefficients, International Journal of Mathematical Archive 2 (2011), 1776-1793. [Citations: 02] https://www.ijma.info/index.php/ijma/article/view/603

13. Mathematical Heritage of India: Some Remedial issues: Mathematics History in Teaching, Philosophy of Mathematical Education Journal (University of Exeter), No. 26, 1-12. [Citations: 03] https://education.exeter.ac.uk/research/centres/stem/publications/pmej/pome26/index.html

14.    Wavelet-Galerkin Solutions of One and Two Dimensional Partial Differential Equations, Journal of Emerging Trends in Computing and Information Sciences 3 (2012), 1373-1378. [Citations: 03]
http://www.researchgate.net/profile/Vinod_Mishra15
15.    Haar Wavelet Solutions of Certain Differential, Integral and Integro-differential Equations, International Journal of Applied Mathematics and Mechanics 8 (2012), 69-82. [Citations: 32] http://www.researchgate.net/profile/Vinod_Mishra15
16. Haar Wavelet Quasilinearization Approach for Solving Lane Emden Equations, International Journal of Mathematics and Computer Applications Research 2 (2012), 47-60.    [Citations: 08]
http://www.tjprc.org/publishpapers/–1354714493-5.%20Maths%20final.pdf

17. Numerical Solution of a Laminar Viscous Flow Boundary Layer Equation using Uniform Haar Wavelet Quasi-linearization Method, World Academy of Science Engineering and Technology 79 (2013), 1410-1415. [Citations: 19] https://doi.org/10.5281/zenodo.1087368

18. Review of Numerical Inversion of Laplace Transforms using Fourier Analysis, Fast Fourier Transform and Orthogonal Polynomials, Mathematics in Engineering, Science and Aerospace 5 (2014), 239-261. [Citations: 05] http://nonlinearstudies.com/index.php/mesa/article/view/1037

19. Progress in the Theory of Quadratic Indeterminate Analysis, American Research Journal of Mathematics 1(4), 2015, 13-27. [Citations: 01] https://www.arjonline.org/papers/arjm/v1-i4/4.pdf
20. Linear Indeterminate Analysis: Theory and Applications, American Research Journal of Mathematics 1(1), 2015, 16-33. [Citations: 01] https://www.arjonline.org/papers/arjm/v1-i3/3.pdf
21. Progressive Series: Development and Applications, American Research Journal of Mathematics 1(3), 2015, 34-53. [Citations: 0] https://www.arjonline.org/papers/arjm/v1-i3/4.pdf
22. Chebyshev Polynomial based Numerical Inverse Laplace Transform Solutions of Linear Volterra Integral and Integro-differential Equations, American Research Journal of Mathematics 1 (2015), 22-32. [Citations: 04] https://www.arjonline.org/papers/arjm/v1-i1/4.pdf

23. Approximation Solution of Boundary Value Problem with Bernstein Polynomial Laplace Decomposition Method, International Journal of Pure and Applied Mathematics 114 (2017), 823-833. [Citations: 05] https://doi.org/10.12732/ijpam.v114i4.12

CATEGORY-5: PUBLICATIONS IN MAGAZINES
1. Indian Mathematics: A Brief Historic Evolution, Gurukula Kangri Vishwavidyalaya Vijnana Patrika – Aryabhata 1 (1998), 171-192. [Citations: 02]

2. Did Vedic Savants Know Irrational Numbers?, Gurukula Kangri Vishwavidyalaya Vijnana Patrika – Aryabhata 1 (1998), 193-204.
3. Indian Mathematics: A Scientific Heritage (in Hindi), Prodyogiki Bharati (SLIET Longowal) 3(2013), 19-20.

Research/Projects

Research

A. DOCTORAL AND POST-DOCTORAL RESEARCH BY V. MISHRA:

I. PhD Thesis

Thesis Title: A Study of Vedic Geometry and Its Relevance to Science and Technology (Awarded:1998)

Thesis Summary. Thesis explores the algebraic and computational based geometrical achievements and applications of Indian mathematics till the early twentieth century AD. Concepts of computing, mirror image, indeterminate analysis, combinatorics etc. were extensively used to solve few conjectures/ unsolved problems.

The work was carried out during 1994-98 (external registration) at Gurukula Kangri Vishwavidyalaya (fully funded by UGC New Delhi) under the guidance of Dr. Shyam Lal Singh, Professor of Mathematics and Statistics Department. The award of thesis was duly acknowledged in Indian Journal of History of Science (1998) published by Indian National Science Academy, New Delhi. The abstract appeared in Ganita Bharati 20 (1998), 108-109 published by Indian Society for History of Mathematics, New Delhi.

II. Fellow Project (Monograph) submitted at IIAS Shimla:

History of Mathematics and Mathematical Education (with Special Reference to India): Role of Mathematics in 21st Century Science, Technology and Society, 2001

B. PH.D. THESIS/M.SC. PROJECT SUPERVISED AND IN PROGRESS (IN INTERDISCIPLINARY MATHEMATICS) AT SLIET LONGOWAL:

I. Ph.D. Thesis Awarded:

1. Sabina: Wavelet-Galerkin Technique for Solving Certain Numerical Differential Equations and Inverse Ill-posed Problems (Awarded: 2012) (Area: Wavelet Analysis)

2. Harpreet Kaur: Haar Wavelet Technique for Solving Differential, Integral and Integro-differential Equations (Awarded: 2015) (Area: Wavelet Analysis)

3. Dimple Rani: Laplace Transform based Numerical Solutions of Certain Differential and Integral Equations (Awarded: 2020) (Area: Numerical Laplace Transform)

4. Narbda Rani: Magic Squares and Cubes: Constructions, Properties and Applications (Awarded: 2023) (Area: Matrix Algebra, Number Theory and Cryptography)

5. Roji Bala: Fibonacci and Narayana Like Sequences: Theory and Applications (continue 2019) (Area: Matrix Algebra, Number Theory and Cryptography)

II. Ph.D. Thesis Continue:

6. Drishti Rajput (Area: Wavelet Analysis) (January 2023)

7. Shivani Chandolia (Area: Wavelet Analysis) (November 2023)

8. Nirmala Tandi (Area: Wavelet Analysis) (February 2024)

III. M.Sc. Projects Supervised and in Progress:

1. Rupinder Kaur: Discrete and Fast Fourier Transforms (Awarded: 2013)
2. Gagandeep Kaur: Numerical Inversion of Laplace Transform (Awarded: 2013)
3. Monika: Development of Bisection Method (Awarded: 2023)
4. Amit Verma: Introduction to Neural Network Method for Differential Equations (Awarded: 2024)

NOTE:

1. Interested candidates for full-time or part-time position may approach me at email mishravinod560@gmail.com or telephone 01672-253270 (office) for PhD guidance in the following interdisciplinary areas of mathematics:

a) History of Mathematics/Mathematical Education
b) Wavelet Analysis
c) Discrete Fourier Transform/Numerical Laplace Transform

d) Number Theory & Cryptography
e) Artificial Neural Networks/Data Science

2. All the PhD supervised candidates under me are well placed in Government/Semi-government institutions

C. PH.D. THESIS EXAMINED:

Barktullah University (Bhopal, 2017),

Rastrasant Tukoji Maharaj Nagpur University (Nagpur, 2019),

Lovely Professional University (Jalandhar, 2020, 2021 & 2022),

GB Pant University of Agriculture and Technology (Pantnagar, 2021)

Phone (O)	01672-253270
Phone(R)	01672-253271
e-mail	mishravinod560@gmail.com

Dr. V. Mishra

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