Ramjiwri

## Areas of Interest

- Numerical Analysis, Numerical Analysis and Simulations of PDEs, Wavelets Analysis, Finite Element Methods, Computational Modeling

## Professional Background

From | Period | Position | Organisation |
---|---|---|---|

2020-01-01 | Ongoing | Associate Profeesor | Indian Institute of Technology Roorkee |

2014-01-01 | 6 years | Assistant Professor | Indian Institute of Technology Roorkee |

2013-01-01 | 1 year | Post Doc Fellow | IMPA, Brazil |

2011-05-11 | 2 years 3 months 29 days | Assistant Professor | Thapar University |

2010-07-25 | 9 months 16 days | Assistant Professor | NIT Jalandhar |

## Multiple Posts

From | Period | Position | Organisation |
---|---|---|---|

2016-01-01 | 4 years | Coordinator | AAROHI Child Care Centre |

2015-01-01 | Ongoing | OC Maintenance | Department of Mathematics |

## Honors and Awards

Award | Institute | Year |
---|---|---|

Haryana Yuva Vigyan Ratna Awards 2020 | HARYANA STATE COUNCIL FOR SCIENCE & TECHNOLOGY | 2020 |

DAAD Bilateraler Wissenschaftleraustausch | Technische Universität Darmstadt, Germany | 2017 |

FCT | Fellowship of Portugal | 2011 |

## Educational Details

Degree | Subject | University | Year |
---|---|---|---|

Ph.D | Numerical Analysis | IIT Roorkee | 2010 |

M.Sc. | Applied Mathematics | Kurukshetra University | 2005 |

## Sponsored Research Projects

Topic | Funding Agency | Start Date | Period |
---|---|---|---|

Numerical Analysis and Computational Modeling of Hyperbolic Partial Differential Equations | IIT Roorkee | 2015-01 | 2 years 11 months |

Numerical Analysis and Computational Modeling of Nonlinear Parabolic Mathematical Models | SERB (DST) | 2016-04 | 2 years 11 months |

Lie Symmetry Analysis, Simulation and Lyapunov Stability Analysis of the Hyperbolic Systems | DST | 2021-01-01 | 2 years 11 months 30 days |

Theoretical Analysis and Simulation to Capture Complex Patterns of Nonlinear Reaction-Diffusion Models | NBHM | 2021-02-01 | 3 years 10 months 30 days |

Theoretical Analysis and Numerical Simulation of Unsteady-State Singularly Perturbed Parabolic Model | CSIR | 2019-07 | 2 years 11 months |

## Memberships

- SIAM, Member

## Teaching Engagements

Title | Course Code | Class Name | Semester |
---|---|---|---|

Ordinary and Partial Differential Equations | MA 553 | M.Sc. Mathematics | Autumn |

Numerical Methods | MAN004 | B. Tech | Spring |

Mathematics 1 | MA 001 | B.Tech 1st Year | Autumn |

Transform Techniques | MA202 | IDD 2nd Year | Spring |

Mathematical Methods | MAN002 | B.Tech | Spring |

## Research Scholar Groups

Scholar Name | Interest |
---|---|

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 |

## PHDs Supervised

Topic | Scholar Name | Status of PHD | Registration Date |
---|---|---|---|

Exact and Numerical Solutions of Some Nonlinear Partial Differential Equations | Dr. Vikas Kumar | A | 2010-12 |

Solutions Study of Some Nonlinear Partial Differential Equations | Dr. Anjali Verma | A | 2011-07 |

B-spline Based Methods for Solving Parabolic and Hyperbolic Partial Differential Equations | Dr Sudhir Kumar | A | 2016-07 |

Finite Element Analysis and Computational Modeling of Some Non-linear Parabolic PDEs | Dr. Om Prakash Yadav | A | 2014-12 |

Radial Basis Function Based Mesh-free Methods For Solving Partial Differential Equations | Mr Sanjay Kumar | A | 2016-07 |

Discontinous Galerkin Methods | Mr Jasbir Singh | O | 2018-12 |

Mixed Finite Element Methods | Mr Ankur | O | 2019-07 |

## Visits to outside institutions

Institute Visited | Purpose of Visit | Date |
---|---|---|

University of California | SIAM Conference on Analysis of Partial Differential Equations | 2019-01-01 |

Technische Universität (TU) Darmstadt, Germany | Invited Talk | 2017-01-01 |

Technische Universität (TU) Darmstadt, Germany | DAAD Faculty Exchange Program | 2017-01-01 |

IMPA, Brazil | Deliver a Talk on FEM | 2014-01-01 |

Kent State University, Kent, USA | Paper Presentation | 2013-01-01 |

Martin-Luther University, Halle, Germany | Paper Presentation in NUMDIFF-13 | 2012-01-01 |

Martin-Luther University, Halle, Germany | Paper Presentation in NUMDIFF-12 | 2009-01-01 |

## National International Collaboration

Topic | Organisation |
---|---|

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 |

## Refereed Journal Papers

- 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: 2.321)** - 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: 5.022)** - 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: 7.963)** **Ram Jiwari**and Alf Gerisch, A local radial basis function differential quadrature semidiscretisation technique for the simulation of time-dependent reaction-diffusion problems**,**(2021) DOI 10.1108/EC-05-2020-0291.**Engineering Computations**,**(IF: 1.593)****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: 3.009)****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: 7.963)**- 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)** **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: 2.239)**- 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: 4.17)** - 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: 3.009)** - 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: 5.022)** - 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: 2.357)** - 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: 1.593)** - 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: 2.357)** **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: 1.593)****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: 1.600)****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: 5.944)****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: 4.17)**- 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: 1.593)** - 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: 3.009)** **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: 4.17)**- 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: 4.091)** **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: 4.091)**- 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: 4.17)** **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: 4.39)****Ram Jiwari**, A hybrid numerical scheme for the numerical solution of the Burgers’ equation,**Computer Physics Communications**, 188 (2015) 59-67.**(IF: 4.39)**- 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: 5.022)** - 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: 4.17)** **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: 2.357)****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: 3.18)**- 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: 1.494)** **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: 4.091)**- 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: 1.594)** - 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: 1.494)** - 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: 1.4968)** - 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: 1.594)** **Ram Jiwari**, Haar wavelet quasilinearization approach for numerical simulation of Burgers' equation,**Computer Physics Communications,**183 (2012) 2413-2423.**(IF: 4.39)**- 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: 4.17)** **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: 4.39)****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: 4.091)**