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Dr Saurabh Kumar Katiyar

Ph.D

Research Assistant Professor

PhD in Shape Preserving Fractal Functions, IIT Madras, 2017

Achievements and Awards: 

·         DST Travel Grant

·         Institute Travel Grant

Fractal Geometry, Approximation Theory and Computer Aided

International Journal

·         With K. M. Reddy and A. K. B. Chand, “Constrained data visualization using rational bi-cubic fractal functions”, Computer and Information Science (CCIS), Springer, (2017).

·         With M. A. Navascus, M. V. Sebastin and A. K. B. Chand, “Construction of fractal bases for spaces of functions”, Computer and Information Science (CCIS), Springer, (2017).

·         With A. K. B. Chand and M.A. Navascues, “Hidden Variable A-Fractal Functions and Their Monotonicity Aspects”, Rev. R. Acad. Cienc. Zaragoza, 71, 7–30 (2016).

·         With A. K. B. Chand, M.A. Navascues and P. Viswanathan, “Fractal trigonometric polynomial for restricted range approximation”, Fractals 24(2), 11 pp. (2016).

·         With A. K. B. Chand, “Quintic Hermite fractal interpolation in a strip: preserving copositivity”, Mathematical analysis and its applications, 463-475, Springer Proc. Math. Stat., 143, Springer, New Delhi, 2015.

·         With A. K. B. Chand, “Toward a unified methodology for fractal extension of various shape preserving spline interpolants, Mathematics and computing, 223-238, Springer Proc. Math. Stat., 139, Springer, New Delhi, 2015.

·         With M.A. Navascues, P. Viswanathan, A. K. B. Chand and M.V. Sebastian, “Fractal bases for Banach spaces of smooth functions”, Bull. Aust. Math. Society, 92, 405-419 (2015).

·         With A. K. B. Chand and P. Viswanathan, “Approximation using hidden variable fractal interpolation functions”, J. Fractal Geom. 2(1), 81-114 (2015).

International Conferences Publication

·         A. K. B. Chand, S. K. Katiyar, Saravana Kumar G: A new class of rational fractal function for curve fitting, Proceeding of Computer Aided Engineering CAE 2013, ISBN No. 78-93-80689-17-3.

·         M. A. Navascus, P. Viswanathan, S. K. Katiyar, A. K. B. Chand, Smooth Fractal Interpolation with Function Scaling Factors, Mathematical and Computational Sciences, (Eds) Santhosh George, Jidesh P., Johny Jose, Narosa Publishing House, ISBN 978-81-8487-456-3, pp. 72-79.]

 

Papers Presented: 

·         Presented paper entitled “A New Class of Rational Fractal Function for Curve Fitting” in International Conference on Computer Aided Engineering (CAE - 2013), (Dec. 19 - Dec. 21), Indian Institute of Technology, Madras, India.

·         Presented paper entitled “Hidden Variable Fractal Functions and Its Monotonicity Aspects” in 10 th AIMS Conference on Dynamical Systems, Differential Equations and Applications (July 07 - July 11, 2014), ICMAT, Madrid, Spain.

·         Presented paper entitled “Approximation Using Hidden Variable Fractal Interpolation Functions” in New Directions in Fractal Geometry (Nov. 23 - Nov. 28, 2014), Australian National University, Canberra, Australia.

·         Presented paper entitled “Quintic Hermite Fractal Interpolation in a strip: Preserving Copositivity” in International Conference on Recent Trends in Mathematical Analysis and Its Applications (ICRTMAA - 2014), (Dec. 21 - Dec. 23), Jointly organized by Indian Institute of Technology, Roorkee, India and University of Central Florida, Orlando, USA.

·         Presented paper entitled “Smooth Fractal Interpolation with Function Scaling Factors” in International Conference on Mathematical and Computational Sciences (IC-MACS - 2015), (Jan. 22 - Jan. 24), Don Bosco, Kannur, India.

·          Contributed paper entitled “Restricted Range Approximation with Fractal Trigonometric Polynomials” in International Conference on Applications of Fractals and Wavelets (ICAFW - 2015), (Jan. 10 - Jan.11), Amrita School of Engineering, Coimbatore, India.

·         Presented paper entitled “A New Class of Rational Quartic Fractal Function For Curve Fitting: Preserving Positivity” in International Conference on Applications of Fractals and Wavelets (ICAFW – 2015), (Jan. 10 - Jan. 11), Amrita School of Engineering, Coimbatore, India.

·         Presented paper entitled “Towards a unified methodology for fractal extension of various shape preserving spline interpolants” in 2 nd International Conference on Mathematics and Computing (ICMC - 2015),(Jan. 05 - Jan. 10), Haldia Institute of Technology, Haldia, India.

·         Presented paper entitled ”Shape Preservation using Quintic Hermite Fractal Interpolation in a Strip” in Technical Conference in Hindi - 2015, IIT Madras, India.

·         Contributed paper entitled “Construction of fractal bases for spaces of functions” in 3 rd International Conference on Mathematics and Computing (ICMC- 2017), (Jan. 17 - Jan. 21), Haldia Institute of Technology, Haldia, India.

·          Contributed paper entitled “Constrained data visualization using rational bi-cubic fractal functions” in 3 rd International Conference on Mathematics and Computing (ICMC- 2017), (Jan. 17 - Jan. 21), Haldia Institute of Technology, Haldia, India.

·         Attended the “National Workshop on Optimization Techniques and Their Applications (NWOTA-2013),” (June 05 -June 11), Motilal Nehru National Institute of Technology, Allahabad, India.

·         Attended the “International Conference and Workshop on Fractals and Wavelets (ICFW - 2013)”, (Nov. 19 – Nov. 21), Rajagiri School of Engineering and Technology, Cochin, India.

·         Attended the “ International workshop on Wavelets, Frames and Applications II (IWWFA - 2014),” (Dec. 24 - Dec.30), Kirori Mal College, University of Delhi, Delhi, India.