28
PUBLICATIONS2
PROJECTSResearch Areas
EDUCATION QUALIFICATION
| Degree | Institute | Year |
|---|---|---|
| Doctor of Philosophy | IIT Madras | 2015 |
COURSES HANDLED
| Course | L-T-P | Credit | Degree Level |
|---|---|---|---|
| Computer-Oriented Numerical Methods(MA1205) | 3-0-0 | 3 | UG |
| Linear Algebra, Calculus and Ordinary Differential Equations(MA1161) | 3-0-0 | 3 | UG |
| Real Analysis(MAI351) | 3-0-0 | 3 | UG |
| Fourier Series, Partial Differential Equations and Complex Variables(MA1363) | 3-0-0 | 3 | UG |
| Numerical and Statistical Methods(MA231) | 3-0-0 | 3 | UG |
RESEARCH IDs
ORC ID
SCOPUS ID
Google Scholar ID
PUBLICATIONS
Journal(s)
Hidden variable bivariate fractal functions and shape preserving approximation,
By N. Vijender and Richa Jain,
Springer,
European physical journal special topics,
vol.,
pp.,
2025
Some classical and fractal splines for constrained and shape preserving interpolation and applications in solving differential equations,
By Richa Jain and N. Vijender,
Springer,
Indian Journal of Pure and Applied Mathematics,
vol.,
pp.,
2024
Approximation of bivariate Lipschitz continuous functions by hidden variable fractal functions,
By N. Vijender,
Springer,
Indian Journal of Pure and Applied Mathematics,
vol.,
pp.,
2024
A fractal model for constrained curve and surface interpolation,
By K. Mahipal Reddy and N. Vijender,
Springer,
European physical journal special topics,
vol.232,
pp.1015–1025,
2023
Generalized Zipper Fractal Approximation and Parameter Identification Problems,
By Vijay, N. Vijender, and A. K. B. Chand,
Springer,
Computational and Applied Mathematics,
vol.41:155,
pp.,
2022
Approximation of complex-valued functions by fractal functions,
By N. Vijender,
Springer,
Advances in Pure and Applied Mathematics,
vol.12(2),
pp.1-14,
2021
Shape preserving aspects of bivariate alpha-fractal function,
By N. Vijender and A. K. B. Chand,
World Scientific,
Fractals,
vol.29(7),
pp.,
2021
Approximation by non-self-referential bivariable fractal functions,
By N. Vijender and V. Drakopoulos,
Springer,
European Physical Journal Special Topics,
vol.,
pp.,
2021
Univariable affine fractal interpolation functions,
By N. Vijender and V. Drakopoulos,
Springer,
Theoretical and Mathematical Physics,
vol.207(3),
pp.689–700,
2021
Bernstein Fractal Interpolation,
By N. Vijender and M. A. Navascues,
Springer,
Applied Mathematics-A Journal of Chinese Universities,
vol.36(3),
pp.330-341,
2021
On the Bernstein affine fractal interpolation curved lines and surfaces, ,
By N. Vijender and V. Drakopoulos,
MDPI,
Axioms,
vol.19(9),
pp.,
2020
Quantum α-fractal approximation,
By N. Vijender, A. K. B. Chand, M. A. Navascu´es, and M. V. Sebastian,
Taylor & Francis,
International Journal of Computers and Applications,
vol.,
pp.,
2020
Approximation by Hidden Variable Fractal Functions: A Sequential Approach,
By N. Vijender,
Springer,
Results in Mathematics,
vol.74:192,
pp.,
2020
Affine Zipper Fractal Interpolation Functions,
By A. K. B. Chand, N. Vijender, P. Viswanathan, A. V. Tetenov,
Springer,
BIT Numerical Mathematics,
vol.60,
pp.319-344,
2019
Bernstein Fractal Approximation and Fractal Full Muntz Theorems,,
By N. Vijender,
Kent State University Library ,
Electronic Transactions on Numerical Analysis (ETNA),
vol.51,
pp.1-21,
2019
Bernstein Fractal Trigonometric Approximation,
By N. Vijender,
Springer,
Acta Applicandae Mathematicae,
vol.159(1),
pp.,
2018
Positivity and Stability of Rational Cubic Fractal Interpolation Surfaces,
By N. Vijender,
Springer,
Mediterranean Journal of Mathematics,
vol.15 (89),
pp.,
2018
Bernstein Fractal Rational Approximants with No Condition on Scaling Vectors,
By N. Vijender,
World Scientific,
Fractals,
vol.26(4),
pp.,
2018
Fractal Perturbation of Shaped Functions: Convergence Independent of Scaling,
By N. Vijender,
Springer,
Mediterranean Journal of Mathematics,
vol.15(211),
pp.,
2018
Convexity/Concavity and Stability Aspects of Rational Cubic Fractal Interpolation Surfaces,
By A. K. B. Chand, N. Vijender, and M. A. Navascues,
Springer,
Computational Mathematics and Modeling,
vol.28(3),
pp.,
2017
Bicubic Partially Blended Rational Fractal Surface for a Constrained Interpolation Problem,
By A. K. B. Chand, P. Viswanathan, and N. Vijender,
Springer,
Computational and Applied Mathematics,
vol.31(1),
pp.,
2016
Monotonicity/Symmetricity Preserving Rational Quadratic Fractal Interpolation Surfaces,
By A. K. B. Chand and N. Vijender,
University of Alberta,
International Journal of Numerical Analysis and Modeling,
vol.13(1),
pp.145-165,
2016
A new Class of Fractal Interpolation Surfaces Based on Functional Values,
By A. K. B. Chand and N. Vijender,
23(2),
Fractals,
vol.,
pp.,
2015
Bivariate Shape Preserving Interpolation: A Fractal-Classical Hybrid Approach,
By A. K. B. Chand, P. Viswanathan, and N. Vijender,
Elsevier,
Chaos, Solitons & Fractals,
vol.81,
pp. 330-344,
2015
Positive Blending Hermite Rational Cubic Spline Fractal Interpolation Surfaces,
By A. K. B. Chand and N. Vijender,
Springer,
Calcolo,
vol.52,
pp.,
2015
, Shape Preservation of Scientific Data Through Rational Fractal Splines,
By A. K. B. Chand, N. Vijender, and M. A. Navascues,
Springer,
Calcolo,
vol.51,
pp.329-362,
2014
Rational Iterated Function System for Positive/Monotonic Shape Preservation,
By A. K. B. Chand, N. Vijender, and R. P. Agarwal,
Springer,
Advances in Continuous and Discrete Models: Theory and Modern Applications (previously Advances in Difference Equations),
vol.2014:30,
pp.,
2014
Shape Preserving Affine Fractal Interpolation Surfaces,
By N. Vijender and A. K. B. Chand,
Cambridge Scientific Publishers ,
Nonlinear Studies,
vol.21(2),
pp.,
2014
PROJECT / CONSULTANCY
Development of Theory of Shape Preserving Hidden Variable Multivariate Fractal Approximants
Role:
Principal Investigator
Type: Research
Sponsor: DST-INSPIRE, INDIA
Project Cost (INR): 2700000
Date of Commencement: 22-08-2022
Duration: 60 Months
Status: Ongoing
Type: Research
Sponsor: DST-INSPIRE, INDIA
Project Cost (INR): 2700000
Date of Commencement: 22-08-2022
Duration: 60 Months
Status: Ongoing
Development of Fractal Numerical Methods and Applications in Solving Differential Equations
Role:
Principal Investigator
Type: Research
Sponsor: SERB (ANRF), DST, India,
Project Cost (INR): 660000
Date of Commencement: 21-02-2022 Date of Completion: 20-02-2025
Duration: 36 Months
Status: Completed
Type: Research
Sponsor: SERB (ANRF), DST, India,
Project Cost (INR): 660000
Date of Commencement: 21-02-2022 Date of Completion: 20-02-2025
Duration: 36 Months
Status: Completed
RESEARCH FELLOWS / PhD STUDENTS
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Last updated on March 3, 2026