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Ram Jiwari
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, Finite Element Methods, Weak Galerkin Methods, HHO Methods, Wavelets Analysis, Computational Modeling, Machine Learning
BioSketch
Educational Details
IIT Roorkee
2010
Ph.D, Numerical Analysis
Kurukshetra University
2005
M.Sc., Applied Mathematics
Professional Background
Professor
01 Jan 2025 - Present
IIT Roorkee, Roorkee, India
Associate Professor
01 Jan 2020 - 01 Dec 2024
Indian Institute of Technology Roorkee
Assistant Professor
01 Jan 2014 - 01 Jan 2020
Indian Institute of Technology Roorkee
Post Doc Fellow
01 Jan 2011 - 01 Jan 2014
IMPA, Brazil
Assistant Professor
25 Jul 2010 - 11 May 2011
NIT Jalandhar
Research
Projects
TOPIC START DATE FIELD DESCRIPTION FINANCIAL OUTLAY FUNDING AGENCY OTHER OFFICERS
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)
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 .
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




Collaborations
Numerical Analysis of PDEs
Università degli Studi di Salerno, Italy
Meshfree Methods for Biological Models
Technische Universität Darmstadt
Radial Basis Functions based Meshfree Methods for Parabolic PDEs
Lodz University of Technology, Poland
Simulation of Nonlinear Phenomena
Ondokuz Mayis University, Turkey
Publications
  1. Ankur, Ram Jiwari and A. Narayan, Conformal Finite Element Methods for nonlinear Rosenau-Burgers-biharmonic models, Journal of Scientific Computing, (2025) Accepted. (I.F. 3.5)
  2. A. Singh, Ram Jiwari, Vikram, U. Saini, PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models, arxiv.org/abs/2506.12922v1, 2025.
  3. Naresh Kumar, Jasbir Singh and Ram Jiwari, An ADI type operator splitting WG-FEM for 2D nonlinear unsteady singularly perturbed problem, Numerical Algorithms, (2025) doi.org/10.1007/s11075-025-02061-5. (IF: 1.7)
  4. N. Kumar, Ajeet Singh, Ram Jiwari and J. Y. Yuan, Error estimates with polynomial growth O(ε^(-1)) for the HHO method on polygonal meshes of the Allen-Cahn model, Applied Numerical Mathematics, 211 (2025), 78-102. (IF: 2.8)
  5. Jasbir Singh, Naresh Kumar and Ram Jiwari, A High-Order Numerical Method for Semilinear Convection–Diffusion Equation on Bakhvalov-type Mesh, Mathematical Methods in the Applied Sciences, (2025) doi.org/10.1002/mma.10904. (IF: 2.1)
  6. Ajeet Singh, H. M. Cheng, Naresh Kumar and Ram Jiwari, A high order numerical method for analysis and simulation of 2D semilinear Sobolev model on polygonal meshes, Mathematics and Computers in Simulation, 227(2025) 241-262 (IF: 4.4)
  7. Jasbir Singh, Naresh Kumar, Ram Jiwari, A robust weak Galerkin finite element method for two parameter singularly perturbed parabolic problems on nonuniform meshes, Journal of Computational Science, 77 (2024) 102241(IF 3.3)
  8. Ankur and Ram Jiwari, A new error estimates of finite element method for (2+1)-dimensional nonlinear advection-diffusion model, Applied Numerical Mathematics, 198 (2024) 22-42. (IF 2.8)
  9. 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).
  10. 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).
  11. 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)
  12. 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)
  13. 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)
  14. 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)
  15. 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)
  16. 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)
  17. 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)
  18. 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)
  19. 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)
  20. 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)
  21. 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)
  22. 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)
  23. 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)
  24. 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)
  25. 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)
  26. 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)
  27. 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)
  28. 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)
  29. 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)
  30. 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)
  31. 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)
  32. 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)
  33. 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)
  34. 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)
  35. 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)
  36. 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)
  37. 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)
  38. 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)
  39. 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)
  40. 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)
  41. 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)
  42. 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)
  43. Ram Jiwari, A hybrid numerical scheme for the numerical solution of the Burgers’ equation, Computer Physics Communications, 188 (2015) 59-67. (IF: 4.717)
  44. Vikas Kumar, Ram Jiwari and R K Gupta, Exact and numerical solutions of coupled short pulse equation with time-dependent coefficients, Nonlinear Dynamics79 (2015) 455-464.(IF: 5.741)
  45. 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)
  46. 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)
  47. 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)
  48. 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)
  49. 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)
  50. 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)
  51. 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)
  52. 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)
  53. 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)
  54. Ram Jiwari, Haar wavelet quasilinearization approach for numerical simulation of Burgers' equation, Computer Physics Communications, 183 (2012) 2413-2423. (IF: 4.717)
  55. 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)
  56. 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)
  57. 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)

 

 

 

Honors And Awards
Honors
CIMPA-ICTP, Italy, France, Italy
2024
CIMPA-ICTP "Research in Pairs" programme (2025)
Polish National Agency, Poland
2024
Ulam NAWA
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: Dr. Sanjay Kumar
CONVERGENCE ANALYSIS OF WEAK GALERKIN FINITE ELEMENT METHOD FOR UNSTEADY SINGULARLY PERTURBED PROBLEMS
31 Dec 2018 - 30 Nov 2024
Other Supervisors: , Scholar: Dr. Jasbir Singh
NUMERICAL APPROXIMATIONOFSOMENON-LINEAR PARTIAL DIFFERENTIAL EQUATIONS USING FINITE ELEMENTMETHODS
30 Jul 2019 - 01 Jun 2024
Other Supervisors: , Scholar: Dr. Ankur
HHO Methods for Nonlinear PDES
01 Sep 2021 - Present
Other Supervisors: , Scholar: Mr. Ajeet Singh
HHO methods for Parabolic PDEs, India
25 Jul 2024 - Present
Other Supervisors: , Scholar: Mr. Keshav Chaturvedi
Solitons and Finite Element Analysis for Nonlinear PDEs, India
15 Jan 2024 - Present
Other Supervisors: , Scholar: Mr. Devraj Maurya
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
Chief Wardon, Himgiri International Hostel
01 Jan 2025 - Present
IIT Roorkee, Roorkee, India
OC Maintenance
01 Jan 2015 - Present
Department of Mathematics