Dr. Vijender Nallapu
Brief Bio
| Brief Bio |
|---|
Education
| Sr. No. | Degree | Year | Specialization | University |
|---|---|---|---|---|
| 1 | Ph.D. | 2014 | Fractal Splines | IIT Madras |
| 2 | M. Sc. | 2008 | Mathematics | NIT Warangal |
| 3 | B. Sc. | 2005 | Mathematics, Physics, Chemistry | SR&BGNR Goverment Degree College, Khammam |
Contact Details
| Phone: | Email: | Address: |
|---|---|---|
| Landline(office):07122801411 | vijendernallapu@mth.vnit.ac.in | Department of Mathematics |
| Mobile Phone: 9677021954 | VNIT Nagpur | |
| South Ambazari Road | ||
| Nagpur-440010 |
Research Interest
| Research Interest |
|---|
| Fractal Approximation |
| Numerical Analysis |
| Fractal Splines |
| Fractal Numerical Methods |
| Functional Analysis |
| Sr. No. | Title | Funding Agency | Role | Year | Amount (in Lakhs INR) |
|---|---|---|---|---|---|
| 1 | Development of Fractal Numerical Methods and Apllications in Solving Differential Equations | DST, INDIA | Principle Investigator | 2022-2025 | 6.6 |
| 2 | Development of Theory of Shape Preserving Hidden Variable Multivariate FractalApproximants | DST-INSPIRE, INDIA | Principle Investigator | 2022-2027 | 27 |
| Sr. No. | Title | Funding Agency | Role | Year | Amount (in Lakhs INR) |
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| Description | Author(s) | Publisher | ISBN | Year |
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| Sr. No. | Patent Title | Application No. | Date | Present Staus |
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| Sr. No. | Title |
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| Sr. No. | Responsibility | Institute | Role | Year |
|---|---|---|---|---|
| 1 | Member in Non-teaching staff recruitment committee | Scrutinzing the applications and other confiidential works | 2022 | |
| 2 | Member in PG (MSc)-counselling committee | 2021 | ||
| 3 | Stock verification officer for Department of Mining Engineering. | 2021 | ||
| 4 | In-chrage for Department Website | July 2021-July 2022 | ||
| 5 | In-chrage for Department Timetable | July 2022-Till Date |
| Sr. No. | Awards |
|---|---|
| 1 | Received NBHM Fellowship (not availed) |
| 2 | Qualified UGC-JRF (not availed) |
| 3 | Secured AIR 145 in GATE-2009 |
| 4 | Received Gold Medal for Securing the Highest Marks in Mathematics at College (SR&BGNR) Level |
| S.No. | List of all authors | Title of the paper | Journal name in Full | Volume | Year | First Page No | ISSN | DOI |
|---|---|---|---|---|---|---|---|---|
| 1 | Richa Jain and N. Vijender | Some classical and fractal splines for constrained andshape preserving interpolation and applications in solvingdifferential equations | Indian Journal of Pure and Applied Mathematics | 2025 | https://doi.org/10.1007/s13226-024-00743-9 | |||
| 2 | N. Vijender | Approximation of bivariate Lipschitz continuous functionsby hidden variable fractal functions | Indian Journal of Pure and Applied Mathematics | 2024 | https://doi.org/10.1007/s13226-024-00631-2 | |||
| 3 | K. Mahipal Reddy and N. Vijender | A fractal model for constrained curve and surface interpolation | European physical journal special topics | 232 | 2023 | 1015 | ||
| 4 | Vijay, N. Vijender, and A. K. B. Chand | Generalized Zipper Fractal Approximation and Parameter Identification Problems | Computational and Applied Mathematics | 41 | 2022 | |||
| 5 | N. Vijender and A. K. B. Chand | Shape preserving aspects of bivariate α-fractal function | Fractals | 29 | 2021 | |||
| 6 | N. Vijender | Approximation of complex-valued functions by fractal functions | Advances in Pure and Applied Mathematics | 12 | 2021 | 1 | ||
| 7 | N. Vijender and V. Drakopoulos | Approximation by non-self-referential bivariable fractal functions | European Physical Journal Special Topics | 2021 | ||||
| 8 | N. Vijender and V. Drakopoulos | Univariable affine fractal interpolation functions | Theoretical and Mathematical Physics | 207 | 2021 | 689 | ||
| 9 | N. Vijender and M. A. Navascu´es | Bernstein Fractal Interpolation | Applied Mathematics-A Journal of Chinese Universities | 36 | 2021 | 330 | ||
| 10 | N. Vijender and V. Drakopoulos | On the Bernstein affine fractal interpolation curved lines and surfaces | Axioms | 19 | 2020 | 2020 | ||
| 11 | N. Vijender, A. K. B. Chand, M. A. Navascu´es, and M. V. Sebasti´an | Quantum α-fractal approximation | International Journal of Computers andApplications (Taylor & Francis) | 2020 | ||||
| 12 | N. Vijender | Approximation by Hidden Variable Fractal Functions: A SequentialApproach | Results in Mathematics | 74 | 2019 | |||
| 13 | A. K. B. Chand, N. Vijender, P. Viswanathan, A. V. Tetenov | Affine ZipperFractal Interpolation Functions | BIT Numerical Mathematics | 60 | 2019 | 319 | ||
| 14 | N. Vijender | Bernstein Fractal Approximation and Fractal Full M¨untz Theorems | Electronic Transactions on Numerical Analysis (ETNA) | 51 | 2019 | 1 | ||
| 15 | N. Vijender | Bernstein Fractal Trigonometric Approximation | Acta Applicandae Mathematicae | 159 | 2018 | |||
| 16 | N. Vijender | Positivity and Stability of Rational Cubic Fractal InterpolationSurfaces | Mediterranean Journal of Mathematics | 15 | 2018 | |||
| 17 | N. Vijender | Bernstein Fractal Rational Approximants with No Condition onScaling Vectors | Fractals | 26 | 2018 | |||
| 18 | N. Vijender | Fractal Perturbation of Shaped Functions: Convergence Independentof Scaling | Mediterranean Journal of Mathematics | 15 | 2018 | |||
| 19 | A. K. B. Chand, N. Vijender, and M. A. Navascu´es | Convexity/Concavity andStability Aspects of Rational Cubic Fractal Interpolation Surfaces | ComputationalMathematics and Modeling, | 28 | 2017 | |||
| 20 | A. K. B. Chand, P. Viswanathan, and N. Vijender | Bicubic Partially BlendedRational Fractal Surface for a Constrained Interpolation Problem | Computationaland Applied Mathematics | 37 | 2016 | |||
| 21 | A. K. B. Chand and N. Vijender | Monotonicity/Symmetricity Preserving RationalQuadratic Fractal Interpolation Surfaces | International Journal ofNumerical Analysis and Modeling | 13 | 2016 | 145 | ||
| 22 | A. K. B. Chand and N. Vijender | A new Class of Fractal Interpolation SurfacesBased on Functional Values | Fractals | 23 | 2015 | |||
| 23 | A. K. B. Chand, P. Viswanathan, and N. Vijender | Bivariate Shape PreservingInterpolation: A Fractal-Classical Hybrid Approach | Chaos, Solitons &Fractals | 81 | 2015 | 330 | ||
| 24 | A. K. B. Chand and N. Vijender | Positive Blending Hermite Rational CubicSpline Fractal Interpolation Surfaces | Calcolo | 52 | 2015 | 1 | ||
| 25 | A. K. B. Chand, N. Vijender, and M. A. Navascu´es | Shape Preservation ofScientific Data Through Rational Fractal Splines | Calcolo | 51 | 2014 | 329 | ||
| 26 | A. K. B. Chand, N. Vijender, and R. P. Agarwal | Rational Iterated FunctionSystem for Positive/Monotonic Shape Preservation | Advances in DifferenceEquations | 2014 | 2014 | |||
| 27 | A. K. B. Chand and N. Vijender | Monotonicity Preserving Rational QuadraticFractal Interpolation Functions | Advances in Numerical Analysis | 2014 | ||||
| 28 | N. Vijender and A. K. B. Chand | Shape Preserving Affine Fractal InterpolationSurfaces | Nonlinear Studies | 21 | 2014 |
| Sr. No. | Research Scholar Name | Title of Thesis | Joining Year | Completed year/ ongoing |
|---|
| Sr. No. | Student Name | Dissertation Title | Year |
|---|
| Sr. No. | Conference/ Institute Name | Title of the Talk | Date |
|---|---|---|---|
| 1 | Mathematical Modelling and Emerging Trends in Computing, Woxen University, Hyderabad | Bernstein Fractal Approximation | 24-June-2023 |
| Sr. No. | Membership Bodies Name |
|---|
| Sr. No. | Course Code | Course Name | UG/PG | Semester( winter/ summer) | Year |
|---|---|---|---|---|---|
| 1 | MAL101 | Mathematics-I | UG | Winter | 2020, 2021, 2022, 2023 |
| 2 | MAL203 | Numerical Mathods and Computation | UG | Winter | 2020 |
| 3 | MAL102 | Mathematics-II | UG | Summer | 2021, 2022, 2023 |
| 4 | MAL542 | Integral Transforms and Integral Equations | PG | Summer | 2021, 2022, 2023 |
| 5 | MAL401 | Finite Difference Methods for Solving Differential Equations | PG | Winter | 2021, 2022 |
| 6 | MAL513 | Theory of Ordinary Differential Equations | PG | Winter | 2023 |
| 7 | MAL521 | Complex Analysis | PG | Summer | 2024 |
| 8 | MA206 | Applied Linear Algebra | UG | Summer | 2024 |
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