SCHOOL OF NATURAL SCIENCES
Department of Mathematics

Profile of Faculty

Dr. P. K. Parida

Assistant Professor,
Department of Mathematics,
Central University of Jharkhand, Ranchi

Mobile : +91-9835688811/8000909216

Email : pkparida@cuj.ac.in

Educational Qualification   Ph.D.
Awards/ recognition   GATE, CSIR, NBHM PDF
Area of Interest   Numerical Analysis, Numerical Functional Analysis, Optimization Theory
Courses Taught   Mathematics – I, Mathematics – II, Real analysis, Differential Equations, Partial Differential Equations, Calculus of Several Variables, Complex Analysis,  Numerical Analysis, Functional Analysis, Calculus of Variations, Differential Manifolds
Brief introduction   Presently I am working in the field of Numerical Functional Analysis and Numerical Optimization. Particularly semilocal and local convergence of iterative methods used for solving nonlinear operator equations. Also we are working on convergence in generalized Banach spaces and in Riemannian manifold. In addition, I am interested in doing research in solving unconstrained and constrained optimization problems.
Additional role/ responsibility  
  1. Co-ordinator(2011-15)
  2. Warden/Admin Warden (2015-18)
Collaboration  
  1. Prof. Ioannis Argyros (Department of Mathematical Sciences Cameron University, Lawton, OK, USA)
  2. Prof. Abhimanyu Kumar (University Department of Mathematics, Lalit Narayan Mithila University, Kameshwaranagar, Darbhanga Bihar 846004)
Articles Published/ Accepted  

Research publications


Articles in Journals (Published/ Accepted)

  1. Chandni Kumari and P. K. Parida(2021), Convergence theorems of a new multiparametric family of Newton-like method in Banach space, Accepted International Journal of Nonlinear Analysis and Applications.
  2. Shwet Nisha and P. K. Parida(2020), Super-Halley method under majorant conditions in Banach spaces, CUBO-A Mathematical Journal, 22(1)(2020)55-70
  3. Shwet Nisha, P. K. Parida and Chandni Kumari(2019), Convergence of a continuation method under majorant conditions, Korean J. Math., 27(4) (2019)1005-1025.
  4. Himanshu Kumar and P. K. Parida(2019), On Semilocal convergence of Two step Kurchatov method, International Journal of Computer Mathematics, 96(8)(2019)1548–1566.
  5. Chandni Kumari and P. K. Parida(2019), Local convergence analysis for Chebyshev's method, Journal of Applied Mathematics and Computing, 59(1–2)(2019)405–421.
  6. Ioannis K. Argyros, P. K. Parida(2018), Expanding the Applicability of Stirling's Method under Weaker Conditions and Restricted Convergence Regions, Annals of West University of Timisoara - Mathematics and Computer Science, 56(1)(2018)86– 98.
  7. Ioannis K. Argyros, P. K. Parida and Salahuddin(2017), Ball convergence of an efficient fifth order iterative method under weak conditions, Annales Univ. Sci. Budapest., Sect. Comp., 46 (2017)341-353.
  8. Himanshu Kumar and P. K. Parida(2017), Three step Kurchatov method for Nondifferentiable operators, International Journal of Applied and Computational Mathematics, 3(4)(2017)3683-3704.
  9. Shwet Nisha and P. K. Parida(2016), A fourth order regula-falsi Newton-like method for enclosing simple zeros of nonlinear equations, Int. J. of Applied Nonlinear Science, 2(4)(2016)258–269.
  10. Himanshu Kumar and P. K. Parida(2016), Homotopy analysis method for fuzzy general Abel's linear integral equations, International Journal of Research in JRETS, 6(4)( 2016)    .
  11. >Shwet Nisha and P. K. Parida(2015), An improved bisection Newton-like method for enclosing simple zeros of nonlinear equations, SeMA Journal, 72(2015)83-92.
  12. Himanshu Kumar and P. K. Parida(2015), Solving Abel's general fuzzy linear integral equations by homotopy analysis method, International Journal of Fuzzy Computation and Modelling, 1(4)( 2015)382–396.
  13. P.K. Parida and D.K. Gupta(2014), Convergence of an iterative method in Banach spaces with Lipschitz continuous first derivative, Int. J. of Applied Nonlinear Science, 1(2014)289 - 299.
  14. P.K. Parida, D.K. Gupta and S. Parhi(2013), On semilocal convergence of a multipoint third order method with R-order (2+p) under a mild differentiability condition, Journal of Applied Mathematics & Informatics, 31(2013) 399 – 416.
  15. P.K. Parida and D.K. Gupta(2010), Semilocal convergence of a third order Chebyshev-type method under a mild differentiability condition, International Journal of Computer Mathematics, 87 (2010) 3405-3419.
  16. P.K. Parida and D.K. Gupta(2010), A cubically convergent iteration method for multiple roots of f(x) = 0, International Journal of Computer Mathematics, 87 (2010) 877-884.
  17. P.K. Parida and D.K. Gupta(2009), On the R-order convergence of a third order method in Banach spaces under mild differentiability conditions, International Journal of Computational Methods, 6 (2009) 291-306.
  18. P.K. Parida and D.K. Gupta(2008), A family of iterative methods for solving fuzzy nonlinear equations, Journal of Fuzzy Mathematics, 16 (2008) 793 – 803.
  19. P.K. Parida and D.K. Gupta(2008), A Newton-like method in Banach spaces under mild differentiability conditions, Kodai Mathematical Journal, 31 (2008) 414 – 430.
  20. P.K. Parida and D.K. Gupta(2008), Semilocal convergence of a family of third order methods in Banach spaces under Holder continuous second derivative, Nonlinear Analysis: Theory, Methods & Applications, 69 (2008) 4163 – 4173.
  21. P.K. Parida and D.K. Gupta(2008), Recurrence relations for semilocal convergence of a Newton-like method in Banach spaces, Journal of Mathematical Analysis and Applications, 345 (2008) 350 – 361.
  22.  P.K. Parida and D.K. Gupta(2008), An improved method for finding multiple roots and it's multiplicity of nonlinear equations in R, Applied Mathematics and Computation, 202 (2008) 498 – 503.
  23. P.K. Parida and D.K. Gupta(2007), Recurrence relations for a Newton-like method in Banach spaces, Journal of Computational and Applied Mathematics, 206 (2007) 873-887.
  24. P.K. Parida and D.K. Gupta(2007), A cubic convergent iterative method for enclosing simple roots of nonlinear equations, Applied Mathematics and Computation, 187 (2007) 1544 -1551.
  25. P.K. Parida and D.K. Gupta(2006), A derivative free method with cubic convergence of both interval and point for enclosing simple zeros of nonlinear equations, Proceedings of the International Conference on Topics in Functional and Numerical Analysis (TOFNA-2005), Journal of Analysis, 14 (2006) 81- 90.
  26. P.K. Parida and D.K. Gupta(2006), An improved regula-falsi method for enclosing simple zeros of nonlinear equations, Applied Mathematics and Computation, 177 (2006) 769-776.
Seminar/ Workshop/ Conference Participation  

In Conferences as Invited Speaker

  1. P. K. Parida, A brief history of Newton-like methods and their convergence, National e-Seminar on Recent Development and Applications of Mathematics, Organized by University Department of Mathematics, Lalit Narayan Mithila University, Kameshwaranagar, Darbhanga Bihar 846004 ,22-23 January, 2021.
  2. P. K. Parida, Majorant Conditions on One Point Iteration Methods, National Seminar on “Recent Advances in Mathematics and Computer Science”, P. G. Department of Mathematics and Department of Computer Science, Rajendra College(Autonomous), Balangir, Odisha, 12-13, March, 2019.
  3. P. K. Parida, Newton-like Methods for Nonlinear Equations, Model National Seminar on “Exploration of inroads to good Mathematics”, Gossner College, Ranchi, 29th January & 5th February, 2017.
  4. P. K. Parida, Use of Latex for Preparation of Research Article, National Workshop on “Use of Latex for Preparation of Research Article, Baripada College, Odisha, 03-04 September 2016.
  5. P.K. Parida, Different Convergence Analysis of Newton-like Methods, 2nd Bi-Annual Conference of Jharkhand Society of Mathematical Sciences(JSMS), Ranchi College, Ranchi, India, 21-23 November, 2015.
  6. P.K. Parida, Interpolation and Integration, Refresher course on Basic Sciences – 2015, Academic Staff College, Ranchi University, Ranchi, 02-22 February, 2015.
  7. P.K. Parida, Solution of System of Nonlinear Equations, Refresher course on Basic Sciences – 2015, Academic Staff College, Ranchi University, Ranchi, 02-22 February, 2015.
  8. P.K. Parida, Solution of System of linear Equations, Refresher course on Basic Sciences – 2015, Academic Staff College, Ranchi University, Ranchi, 02-22 February, 2015.
  9. P.K. Parida, On R-order convergence of Newton-like methods in Banach Spaces, National Seminar on Challenges in Mathematical Sciences, jointly organised by Jharkhand Society of Mathematical Sciences, and Centre for Applied Mathematics, Central University of Jharkhand, India, 08-09 February, 2014.
  10. P.K. Parida, Group Theory and Linear Algebra, Instructional School-2013, Central University of Jharkhand, Ranchi, India, 17th December 2013-6th January 2014.
  11. P.K. Parida, Semilocal convergence of a family of Chebyshev-type methods under a mild differentiability condition, National Symposium in Mathematics for Young Researchers (NSM 2010), IIT Gandhinagar, Ahmedabad, India, 26-28 February, 2010.
  12. P.K. Parida, On R-order convergence of Halley-like methods in Banach spaces, Research Meet 2011, MS University, Varodara, India.
  13. P.K. Parida, Semilocal convergence of Chebyshev-type methods under a mild differentiability condition, Mathematics Meet 2011, Gujarat University, Ahmedabad, India, 3-5 February, 2011.

Papers Presented In Conferences

  1. P. K. Parida, Semilocal convergence of fifth order Chebyshev-type methods under a mild condition, International Conference on Mathematical Analysis and Applications, Department of Mathematics, National Institute of Technology Jamshedpur, November 02-04, 2020 through online platform.
  2. P. K. Parida, “Local and semilocal convergence of one point iteration methods applied to optimization”, INTERNATIONAL CONFERENCE ON RESEARCH TRENDS IN MATHEMATICS (ICRTM-2020), Vellore Institute of Technology, Chennai, India held during August 25-26, 2020 through online platform.
  3. P. K. Parida, “Convergence of One point iteration method under Majorant condition”, International Conference on Sustainable Computing in Science, Technology and Management(SUSCOM-2020), Amity University, Rajasthan, Jaipur, India, 20-22 January, 2020.
  4. P. K. Parida, “Majorant conditions on super-Halley method”, A National Conference on Engineering Mathematics(TOPAS-2017), Department of Mathematics, IIT Kharagpur, India, 16-17 December, 2017.
  5. P. K. Parida, On the local convergence of Super-Halley method under a new type of majorant conditions”, International Conference of The Indian Mathematics Consortium (TIMC), Banaras Hindu University, Varanasi, 14-17 December, 2016.
  6. Himanshu Kumar, P.K. Parida, Homotopy Analysis Method for fuzzy general Abel’s Linear Integral Equation, International conference of Recent Trends in computer Science and Technology, Department of Computer Science and Engineering, TVSCET, Jamshedpur, 12-13 April 2016.
  7. P.K. Parida, A Study of Convergence Analysis of Newton-like Methods, 1st Bi-Annual Conference of Jharkhand Society of Mathematical Sciences, JSMS, Ranchi University, Ranchi, India, 22-23 November 2012.
  8. P.K. Parida, On semilocal convergence of Halley-like methods under a mild differentiability condition, International Conference on Differential Geometry, Functional Analysis and Applications (ICDGFAA 2012), Department of Mathematics, Jamia Millia Islamia, New Delhi, India, 8-10 September 2012.

Workshop/Seminar Attended

  1. P.K. Parida and D.K. Gupta, Semilocal convergence of a Newton-like method with Lipschitz continuous second derivative in Banach spaces, Fourteenth International Conference of the Forum for Inter disciplinary Mathematics (CMASM 2007-FIM XIV), IIT Madras, India and Stella Maris College (Autonomous), Chennai, India, 6-8 January 2007.
  2. P.K. Parida and D.K. Gupta, A derivative free method with quadratic convergence of both interval and point for enclosing multiple zeros of nonlinear equations, 33rd Annual Conference of Orissa Mathematical Society (OMS 2006), Scholl of Mathematical Sciences, Sambalpur University, Orissa, India, 4-5 February 2006.
  3. P.K. Parida and D.K. Gupta, A derivative free method with cubic convergence of both interval and point for enclosing simple zeros of nonlinear equations, International Conference on Topics in Functional and Numerical Analysis (TOFNA-2005), Department of Mathematics, IIT Bombay, India, 7-9 December 2005.
  4. P.K. Parida and D.K. Gupta, An improved Newton-like method for solving nonlinear equations, 32nd Annual Conference of Orissa Mathematical Society & National conference on mathematical analysis and it's applications(OMS 2005), NIST, Berhampur, Orissa, India, 5-6 February 2005.
  5. Participated & completed successfully Webinar series on “Exploring Advances in Graph Theory” organized by PG & Research Department of Mathematics, Loyola College, Chennai  during 15th  June 2020 to 17th  June 2020.
  6. Participated & completed successfully Seven Day Faculty Development Programme (FDP) in Online Mode for University and College Teachers on the theme “Gender Concerns in Education” organized by the Centre for Women’s Studies, Dibrugarh University, Assam, India from 26th May 2020 to 1st June, 2020.
  7. Participated & completed successfully AICTE Training and Learning (ATAL) Academy FDP on "Robotics" from 16-20, December, 2019 at Central University of Jharkhand, Ranchi.
  8. Participated & completed successfully AICTE Training and Learning (ATAL) Academy FDP on "Cyber Security" from 16-20, September, 2019 at Central University of Jharkhand, Ranchi.
  9. Participated & completed successfully UGC sponsored refresher course in “Women Studies & Gender Sensitization (All Subjects)” from 02-15, July 2019 organized at UGC-HRDC, Ranchi University, Ranchi.
  10. Participated & completed successfully Training Programme on “Dynamical Systems: Theory & Applications”, from 04-08, September, 2018, organized at Department of Applied Mathematics, IIT(ISM), Dhanbad, India.
  11. Participated National Workshop on Technical Terminology in Science (Mathematics & Physics), from 12-13, July, 2018 organized at University Department of Mathematics, Vinoba Bhave University, Hazaribagh.
  12. Participated & completed successfully UGC sponsored refresher course in “Basic Sciences (PHY/CHEM/MATH/STATS)” from 03-23 March 2014 organized at UGC-HRDC, Ranchi University, Ranchi.
  13. Participated & completed successfully UGC sponsored 70th Orientation Programme from 25th November-22nd December 2012 organized at UGC-ASC, Ranchi University, Ranchi.
Program Organized  

Online FDP on “RECENT DEVELOPMENTS IN MATHEMATICAL SCIENCES (RDMS)” organized by the Department of Mathematics, Central University of Jharkhand, Ranchi, from 6 th-10th November 2020.

Any other information  

Membership of Professional Societies

  1. Yearly member of Odisha Mathematical Society
  2. Members of Jharkhand Society of Mathematical Society from November 2012
  3. Associate Membership of the The Mathematics Consortium-2016
Updated as on  

15 Jan. 2021