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INDIAN INSTITUTE OF TECHNOLOGY ROORKEE
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Ram Jiwari
Associate Professor
ram.jiwari[at]ma.iitr.ac.in
8191957249
Research Interests
Biosketch
Educational Details
Professional Background
Research
Projects
Publications
Patents
Books
Collaborations
Honours and Awards
Honors
Memberships
Teaching Engagements
Teaching Engagements
Students
Supervisions
Associate Scholars
Miscellaneous
Events
Visits
Administrative Positions
Miscellaneous
Research Interests
Numerical Analysis, Numerical Analysis and Simulations of PDEs, Wavelets Analysis, Finite Element Methods, Computational Modeling, Lie Symmetry Analysis
BioSketch
Educational Details
IIT Roorkee
2010
Ph.D, Numerical Analysis
Kurukshetra University
2005
M.Sc., Applied Mathematics
Professional Background
Post Doc Fellow
01 Jan 2013 - 01 Jan 2014
IMPA, Brazil
Associate Profeesor
01 Jan 2020 - Present
Indian Institute of Technology Roorkee
Assistant Professor
01 Jan 2014 - 01 Jan 2020
Indian Institute of Technology Roorkee
Assistant Professor
25 Jul 2010 - 11 May 2011
NIT Jalandhar
Assistant Professor
11 May 2011 - 09 Sep 2013
Thapar University
Associate Editor
01 Aug 2021 - 01 Jan 2025
Journal of Mathematics
Research
Projects
TOPIC START DATE FIELD DESCRIPTION FINANCIAL OUTLAY FUNDING AGENCY OTHER OFFICERS
Numerical Analysis and Computational Modeling of Hyperbolic Partial Differential Equations 20 Jan 2015 Numerical Analysis and Computational Modeling of Hyperbolic Partial Differential Equations 6.5 Lakh IIT Roorkee .
Numerical Analysis and Computational Modeling of Nonlinear Parabolic Mathematical Models 05 Apr 2016 Numerical Analysis and Computational Modeling of Nonlinear Parabolic Mathematical Models 20 Lakh SERB (DST)
Fast and Robust Numerical Algorithms for 2D Unsteady-state Convection Dominated Singularly Perturbed Parabolic Models 14 Jan 2022 Numerical Analysis Development of Fast and Robust Numerical Algorithms for 2D Unsteady-state Convection Dominated Singularly Perturbed Parabolic Models 7.5 Lac Approx. SERB
Lie Symmetry Analysis, Simulation and Lyapunov Stability Analysis of the Hyperbolic Systems 01 Jan 2021 Numerical Analysis and Simulation of PDEs INDO-UZBEK (International Project) 30 Lacs DST
Theoretical Analysis and Simulation to Capture Complex Patterns of Nonlinear Reaction-Diffusion Models 01 Feb 2021 Numerical Analysis, FEM 16 Lac NBHM
Theoretical Analysis and Numerical Simulation of Unsteady-State Singularly Perturbed Parabolic Model 16 Jul 2019 Theoretical Analysis and Numerical Simulation of Unsteady-State Singularly Perturbed Parabolic Model 21.7 Lacs CSIR




Publications
Convergence analysis of weak Galerkin finite element method for semilinear parabolic convection dominated diffusion equations on polygonal meshes
2023
Naresh Kumar, Jasbir Singh, Ram Jiwari | Elsevier
Journal: Computers & Mathematics with Applications
Honors And Awards
Honors
HARYANA STATE COUNCIL FOR SCIENCE & TECHNOLOGY
2020
Haryana Yuva Vigyan Ratna Awards 2020
Technische Universität Darmstadt, Germany
2017
DAAD Bilateraler Wissenschaftleraustausch
Fellowship of Portugal
2011
FCT
MemberShips
SIAM
31 Aug 2020 - Present
Member
Teaching Engagements
Teaching Engagements
Ordinary and Partial Differential Equations ( MA 553 )
Autumn
Numerical Methods ( MAN004 )
Spring
Mathematics 1 ( MA 001 )
Autumn
Transform Techniques ( MA202 )
Spring
Mathematical Methods ( MAN002 )
Spring
Students
SuperVisions
Exact and Numerical Solutions of Some Nonlinear Partial Differential Equations
03 Dec 2010 - 10 Aug 2014
Other Supervisors: Dr R. K. Gupta, Scholar: Dr. Vikas Kumar
Solutions Study of Some Nonlinear Partial Differential Equations
31 Jul 2011 - 21 Aug 2015
Other Supervisors: Dr Satish Kumar, Scholar: Dr. Anjali Verma
Finite Element Analysis and Computational Modeling of Some Non-linear Parabolic PDEs
31 Dec 2014 - 20 Mar 2018
Other Supervisors: , Scholar: Dr. Om Prakash Yadav
B-spline Based Methods for Solving Parabolic and Hyperbolic Partial Differential Equations
31 Jul 2016 - 09 Feb 2021
Other Supervisors: Prof R C Mittal, Scholar: Dr Sudhir Kumar
Radial Basis Function Based Mesh-free Methods For Solving Partial Differential Equations
31 Jul 2016 - 30 Jun 2021
Other Supervisors: Prof R C Mittal, Scholar: Mr Sanjay Kumar
Discontinous Galerkin Methods
31 Dec 2018 - 31 Dec 2023
Other Supervisors: , Scholar: Mr Jasbir Singh
Mixed Finite Element Methods
30 Jul 2019 - 31 Dec 2024
Other Supervisors: , Scholar: Mr Ankur
Theoretical Analysis and Simulation to Capture Complex Patterns of Nonlinear Reaction-Diffusion Models
01 Sep 2021 - Present
Other Supervisors: , Scholar: Mr. Ajeet Singh
Associate Scholars
Dr. Om Prakash Yadav
Finite Element Analysis and Computational Modeling
Mr Sanjay Kumar
Radial Basis Function Based Mesh-free Methods
Mr Jasbir Singh
Discontinous Galerkin Methods
Ankur
Mixed Finite Element Methods
Mr Ajeet Singh
IIT Roorkee
HHO methods
Miscellaneous
Visits
University of California
2019-01-01
SIAM Conference on Analysis of Partial Differential Equations
Technische Universität (TU) Darmstadt, Germany
2017-01-01
Invited Talk
Technische Universität (TU) Darmstadt, Germany
2017-01-01
DAAD Faculty Exchange Program
IMPA, Brazil
2014-01-01
Deliver a Talk on FEM
Kent State University, Kent, USA
2013-01-01
Paper Presentation
Martin-Luther University, Halle, Germany
2012-01-01
Paper Presentation in NUMDIFF-13
Martin-Luther University, Halle, Germany
2009-01-01
Paper Presentation in NUMDIFF-12
Administrative Positions
Coordinator
01 Jan 2016 - 01 Jan 2020
AAROHI Child Care Centre
OC Maintenance
01 Jan 2015 - Present
Department of Mathematics
Refereed Journal Papers
  1. Naresh Kumar, Jasbir Singh and Ram Jiwari, Convergence analysis of weak Galerkin finite element method for semilinear parabolic convection dominated diffusion equations on polygonal meshes, Computers & Mathematics with Applications,  145 (2023) 141-158. (IF: 3.218).
  2. Ankur, Ram Jiwari, Naresh Kumar, Analysis and simulation of Korteweg-de VriesRosenau-regularised long-wave model via Galerkin finite element method, Computers & Mathematics with Applications, 135 (2023) 134-148. (IF: 3.218).
  3. Ankur and Ram Jiwari, New multiple analytic solitonary solutions and simulation of (2+1)-dimensional generalized Benjamin-Bona-Mahony-Burgers model, Nonlinear Dynamics, (2023) 1-32 https://doi.org/10.1007/s11071-023-08528-1. (IF: 5.741)
  4. Vikas Kumar, Ram Jiwari, AR Djurayevich, MU Khudoyberganov, Hyperbolic (2+ 1)-dimensional Schrödinger equation: Similarity analysis, Optimal system and complexitons for the one-parameter group of rotations, Communications in Nonlinear Science and Numerical Simulation, 115 (2022) 106784. (IF: 4.186)
  5. Ram Jiwari, Local radial basis function-finite difference based algorithms for singularly perturbed Burgers’ model, Mathematics and Computers in Simulation, 198, (2022) 106-126. (IF: 3.601)
  6. Ram Jiwari, S. Singh, P Singh, Local RBF-FD-Based Mesh-free Scheme for Singularly Perturbed Convection-Diffusion-Reaction Models with Variable Coefficients, Journal of Mathematics, (2022) ID 3119482. (IF 1.555)
  7. K Harish Kumar and Ram Jiwari, A hybrid approach based on Legendre wavelet for numerical simulation of Helmholtz equation with complex solution, International Journal of Computer Mathematics, (2022) doi.org/10.1080/00207160.2022.2041193. (IF: 1.931)
  8. Ram Jiwari, Sukhveer Singh, Paramjeet Singh, Local RBF-FD-Based Mesh-free Scheme for Singularly Perturbed Convection-Diffusion-Reaction Models with Variable Coefficients, Journal of Mathematics, (2022), Article ID 3119482, doi.org/10.1155/2022/3119482. (IF: 1.555)
  9. Sanjay Kumar, Ram Jiwari, RC Mittal, Radial basis functions based meshfree schemes for the simulation of non-linear extended Fisher-Kolmogorov model, Wave Motion, (2022)102863. (IF: 2.174)
  10. K. H. Kumar and Ram Jiwari, A note on numerical solution of classical Darboux problem, Mathematical Methods in the Applied Sciences (2021), Doi.org/10.1002/mma.7602. (IF: 3.007)
  11. Sanjay Kumar, Ram Jiwari, R. C. Mittal and Jan Awrejcewicz, Dark and bright soliton solutions and computational modeling of non-linear regularized long wave model, Nonlinear Dynamics, (2021) (Accepted) .(IF: 5.741)
  12. R. C. Mittal, Sudhir Kumar and Ram Jiwari, A cubic B‑spline quasi‑interpolation algorithm to capture the pattern formation of coupled reaction‑diffusion models, Engineering with Computers, (2021) doi.org/10.1007/s00366-020-01278-3. (IF: 8.083)
  13. Ram Jiwari and Alf Gerisch, A local radial basis function differential quadrature semidiscretisation technique for the simulation of time-dependent reaction-diffusion problems, Engineering Computations, (2021) DOI 10.1108/EC-05-2020-0291. (IF: 1.675)
  14. Ram Jiwari, Barycentric rational interpolation and local radial basis functions based numerical algorithms for multidimensional sine-Gordon equation, Numerical Methods for Partial Differential Equations, (2020) DOI: 10.1002/num.22636. (IF: 3.568)
  15. Ram Jiwari, Vikas Kumar and Sukhveer Singh, Lie group analysis, exact solutions and conservation laws to compressible isentropic Navier–Stokes equation, Engineering with Computers, (2020) doi.org/10.1007/s00366-020-01175-9. (IF: 8.083)
  16. K. H. Kumar and Ram Jiwari, Legendre wavelets based numerical algorithm for simulation of multidimensional Benjamin-Bona-Mahony-Burgers and Sobolev equations, Computers and Mathematics with Applications, 80 (3) (2020) 417-433. (IF: 3.476)
  17. Ram Jiwari, Sanjay Kumar and Jan Awrejcewicz, A meshfree algorithm for simulation of multidimensional Schrödinger equations, Computational and Applied Mathematics, (2020) doi.org/10.1007/s40314-020-1113-0. (IF: 2.998)
  18. R C Mittal, S Kumar, Ram Jiwari, A cubic B-spline quasi-interpolation method for solving two-dimensional unsteady advection diffusion equations, International Journal of Numerical Methods for Heat & Fluid Flow, (2020) DOI 10.1108/HFF-07-2019-0597. (IF: 5.181)
  19. Om Prakash Yadav and Ram Jiwari, A finite element approach for analysis and computational modelling of coupled reaction diffusion models, Numerical Methods for Partial Differential Equations, 35 (2) (2019) 830-850.(IF: 3.568)
  20. Om Prakash Yadav and Ram Jiwari, Some soliton-type analytical solutions and numerical simulation of nonlinear Schrödinger equation, Nonlinear Dynamics, 95 (2019) 2825-2836.(IF: 5.741)
  21. Sanjay Kumar, Ram Jiwari and R. C. Mittal, Numerical simulation for computational modelling of reaction-diffusion Brusselator model arising in chemical processes, Journal of Mathematical Chemistry, 57 (2019) 149-179.(IF: 2.413)
  22. Sanjay Kumar, Ram Jiwari and R. C. Mittal, Meshfree algorithms based on radial basis functions for numerical simulation and to capture shocks behavior of Burgers' types problems, Engineering Computations, 36(4) (2019) 1142-1168.(IF: 1.675)
  23. Om Prakash Yadav and Ram Jiwari, A finite element approach to capture Turing patterns of autocatalytic Brusselator model, Journal of Mathematical Chemistry, 57 (3) (2019) 769-789. (IF: 2.413)
  24. Ram Jiwari, Stefania Tomasiello and Francesco Tornabene, A numerical algorithm for computational modelling of coupled advection-diffusion-reaction systems, Engineering Computations, 35 (3) (2018) 1383-1401. (IF: 1.675)
  25. Ram Jiwari, H. S. Shukla, M Tamsir and V. K. Srivastava, A numerical algorithm for computation modeling of 3D nonlinear wave equations based on exponential modified cubic B-spline differential quadrature method, International Journal of Computer Mathematics, 95 (4) (2018) 752-766.(IF: 1.931)
  26. Ram Jiwari, Sukhveer Singh and Ajay Kumar, Numerical simulation to capture the pattern formation of coupled reaction-diffusion models, Chaos, Solitons & Fractals, 103 (2017) 422-439. (IF: 9.922)
  27. Ram Jiwari, Vikas Kumar, Ram Karan and A. S. Alshomrani, Haar wavelet quasilinearization approach for MHD Falkner–Skan flow over permeable wall via Lie group method, International Journal of Numerical Methods for Heat & Fluid Flow, 27 (6) (2017) 1332-1350. (IF: 5.181)
  28. Sapna Pandit, Ram Jiwari, K Bedi and M. E. Koksal, Haar wavelets operational matrix based algorithm for computational modelling of hyperbolic type wave equations, Engineering Computations, 34 (8) (2017) 793-814.(IF: 1.675)
  29. Om Prakash Yadav and Ram Jiwari, Finite element analysis and approximation of Burgers'-Fisher equation, Numerical Methods for Partial Differential Equations, 33 (5) (2017) 1652-1677.(IF: 3.568)
  30. Ram Jiwari, Vikas Kumar, Ram Karan and A. S. Alshomrani, Haar wavelet quasilinearization approach for MHD Falkner–Skan flow over permeable wall via Lie group method, International Journal of Numerical Methods for Heat & Fluid Flow, 27 (6) (2017) 1332-1350.(IF: 5.181)
  31. Maria A. De Rosaa, Maria Lippiello, Ram Jiwari and Stefania Tomasiello, A Differential Quadrature based procedure for parameter identification, Applied Mathematics and Computation, 290 (2016) 460-466.(IF: 4.397)
  32. Ram Jiwari, M. Tamsir and V. K. Srivastava, An algorithm based on exponential modified cubic B-spline differential quadrature method for nonlinear Burgers’ equation, Applied Mathematics and Computation, 290 (2016) 111-124.(IF: 4.397)
  33. Anjali Verma , Ram Jiwari , Cosine expansion based differential quadrature algorithm for numerical simulation of two dimensional hyperbolic equations with variable coefficients, International Journal of Numerical Methods for Heat & Fluid Flow, 25 (7) (2015) 1574-1589.(IF: 5.181)
  34. Ram Jiwari, Lagrange interpolation and modified cubic B-spline differential quadrature methods for solving hyperbolic partial differential equations with Dirichlet and Neumann boundary conditions, Computer Physics Communications, 193 (2015) 55-65. (IF: 4.717)
  35. Ram Jiwari, A hybrid numerical scheme for the numerical solution of the Burgers’ equation, Computer Physics Communications, 188 (2015) 59-67. (IF: 4.717)
  36. Vikas Kumar, Ram Jiwari and R K Gupta, Exact and numerical solutions of coupled short pulse equation with time-dependent coefficients, Nonlinear Dynamics, 79 (2015) 455-464.(IF: 5.741)
  37. Anjali Verma, Ram Jiwari and Satish Kumar, A numerical scheme based on differential quadrature method for numerical simulation of nonlinear Klein-Gordon equation, International Journal of Numerical Methods for Heat and Fluid Flow, 24 (7) (2014) 1390-1404.(IF: 5.181)
  38. Ram Jiwari and Jinyun Yuan, A computational modeling of two dimensional reaction-diffusion Brusselator system arising in chemical processes, Journal of Mathematical Chemistry, 52 (2014) 1535-1551.(IF: 2.413)
  39. Ram Jiwari, R.K. Gupta and Vikas Kumar,  Polynomial differential quadrature method for numerical solutions of the generalized Fitzhugh-Nagumo equation with time-dependent coefficients, Ain Shams Engineering Journal, 5  (2014) 1343-1350. (IF: 4.79)
  40. Vikas Kumar, Ram Jiwari and R K Gupta, Lie Group analysis, numerical and non-traveling wave solutions for the (2+1)-dimensional Diffusion-Advection equation with variable coefficient, Chinese Physics B, 23 (3) (2014) 030201.(IF: 1.652)
  41. Ram Jiwari, R.C. Mittal and K K Sharma, A numerical scheme based on weighted average differential quadrature method for the numerical solution of Burgers' equation, Applied Mathematics and Computation, 219 (2014) 6680-6691.(IF: 4.397)
  42. Vikas Kumar, Ram Jiwari and R K Gupta, Numerical Simulation of Two Dimensional Quasilinear Hyperbolic Equations by Polynomial Differential Quadrature Method, Engineering Computations, 30 (7) (2013) 892-909.(IF: 1.675)
  43. Vikas Kumar, Ram Jiwari and R K Gupta, Comparative Study of Travelling Wave and Numerical Solutions for the Coupled Short Pulse (CSP) Equation, Chinese Physics B, 22 (5) (2013) 050201.(IF: 1.652)
  44. Vikas Kumar, Ram Jiwari and R K Gupta, Painlevé Analysis, Lie Symmetries and Exact Solutions for Variable Coefficients Benjamin-Bona-Mahony-Burger (BBMB) Equation, Communications in Theoretical Physics, 60 (2013) 175-182. (IF: 2.877)
  45. R C Mittal, Ram Jiwari and K K Sharma, A numerical scheme based on differential quadrature method to solve time dependent Burgers' equation, Engineering Computations, 30 (1) (2013) 117-131.(IF: 1.675)
  46. Ram Jiwari, Haar wavelet quasilinearization approach for numerical simulation of Burgers' equation, Computer Physics Communications, 183 (2012) 2413-2423. (IF: 4.717)
  47. R.C. Mittal and Ram Jiwari, A differential quadrature method for solving Burgers'-type equation, International Journal of Numerical Methods for Heat and Fluid Flow, 22 (7) (2012) 880-895.(IF: 5.181)
  48. Ram Jiwari, S. Pandit and R C Mittal, Numerical simulation of two-dimensional sine-Gordon solitons by differential quadrature method, Computer Physics Communications, 183 (2012) 600-616. (IF: 4.717)
  49. Ram Jiwari, S. Pandit and R C Mittal, A Differential Quadrature Algorithm to Solve the Two Dimensional Linear Hyperbolic Telegraph Equation with Diriclet and Neumann Boundary Conditions, Applied Mathematics and Computation, 218 (2012) 7279-7294.(IF: 4.397)