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Book published

Publications in referred journals

  1. Shweta Kumari and Mani Mehra, High order approximation to Caputo derivative on graded mesh and time-fractional diffusion equation for non-smooth solutions,
    Journal of Computational and Nonlinear Dynamics, (2024).

  2. Nitin Kumar and Mani Mehra, Generalized fractional-order Legendre wavelet method for two dimensional distributed order fractional optimal control problem,
    Journal of Vibration and Control, Vol. 30 (7--8) (2024) pp. 1690--1705.

  3. Abhishek Kumar and Mani Mehra, An algorithm to estimate parameter in Müntz-Legendre polynomial approximation for the numerical solution of stochastic fractional integro-differential equation,
    Journal of Applied Mathematics and Computing, Vol. 69 (2023) pp. 2675--2694.

  4. Nitin Kumar and Mani Mehra, Müntz-Legendre wavelet method for solving Sturm-Liouville fractional optimal control problem with error estimates,
    Mathematical Methods in the Applied Sciences, Vol. 46 (12) (2023) pp.12505--12528.

  5. Abhishek Kumar, Mani Mehra and Samarth Gulyani, Learning parameters of a system of variable order fractional differential equations,
    Numerical methods for partial differential equations, Vol. 39, (2023) pp. 1962--1976.

  6. Abhishek Kumar and Mani Mehra, Difference methods for stochastic space fractional diffusion equation driven by additive space-time white noise via Wong Zakai approximation,
    Journal of Mathematical Chemistry (2022).

  7. Vaibhav Mehandiratta, Mani Mehra and Gunter Leugering, Well-posedness, optimal control and discretisation for time-fractional parabolic equations with time-dependent coefficients on metric graphs,
    Asian Journal of Control Vol. 25 (3) (2023) pp. 2360--2377.

  8. Nitin Kumar and Mani Mehra, Legendre wavelet method for solving variable order non-linear fractional optimal control problems with variable order fractional Bolza cost,
    Asian Journal of Control, Vol. 25 (3) (2023) pp. 2360--2377.

  9. Nitin Kumar and Mani Mehra, Necessary optimality conditions for two dimensional fractional optimal control problems and error estimates for the numerical approximation,
    Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 102 (12) article no. e202202023 (2022).

  10. Vaibhav Mehandiratta, Mani Mehra and Gunter Leugering, Distributed optimal control problems driven by space-time fractional parabolic equations,
    Control and cybernetics, Vol. 51 (2) (2022) pp. 191--226.

  11. Abhishek Kumar, Mani Mehra and Vaibhav Mehandiratta, Numerical solution of variable-order stochastic fractional integro-differential equation with a collocation method based on Müntz-Legendre polynomial,
    Mathematical Methods in the Applied Sciences, Vol. 45 (13) (2022) pp. 8125-8141.

    (paper has been recognised as top downloadable article in Mathematical Methods in the Applied Sciences, 2022)

  12. Vaibhav Mehandiratta, Mani Mehra and Gunter Leugering, Optimal control problems driven by time-fractional diffusion equation on metric graphs: optimality system and finite difference approximation,
    SIAM Journal on Control and Optimization, Vol. 59 (2021) pp. 4216–4242.

  13. Abhishek Kumar, Mani Mehra and Samarth Gulyani, A modified variable order fractional SIR model to predict the spread of COVID-19 in India,
    Mathematical Methods in the Applied Sciences, (2021).

    (paper has been recognised as top downloadable article in Mathematical Methods in the Applied Sciences, 2021)

  14. A. Alikhanov, M. Beshtokov and M. Mehra, The Crank-Nicolson type compact difference schemes for a loaded time-fractional hallaire equation,
    Fractional calculus and applied analysis, Vol. 24 (4) (2021) pp. 1231-1256 (IF--3.126, Q1 in SJR citation index, SCI).

  15. Mani Mehra, Kuldip Singh Patel and Ankita Shukla, Wavelet-optimized compact finite difference method for convection–diffusion equations,
    International Journal of Nonlinear Sciences and Numerical Simulation, Vol. 22 pp. 353--372 (2021) (IF--1.467, Q1 in SJR citation index, SCI).

  16. Vaibhav Mehandiratta, Mani Mehra and Gunter Leugering, Existence results and stability analysis for a nonlinear fractional boundary value problem on a circular ring with an attached edge : a study of fractional calculus on metric graph,
    Networks and Heterogeneous Media, Vol. 16 (2) (2021) pp. 155--185 (IF--.952, Q1 in SJR citation index, SCI).

  17. Abhishek Kumar and Mani Mehra, Wavelet collocation method based on Legendre polynomials and its application in solving the stochastic fractional integro-dierential equations,
    Journal of computational Science, Vol. 51 (2021) article no. 101342 (IF--2.644, Q1 in SJR citation index, SCI).

  18. Mani Mehra, Ankita Shukla and Gunter Leugering, An adaptive spectral graph wavelet method for PDEs on networks,
    Advances in Computational Mathematics, Vol. 47 (2021) article number: 12 (IF--1.638, Q1 in SJR citation index, SCI).

  19. Nitin Kumar and Mani Mehra, Legendre wavelet collocation method for fractional optimal control problems with fractional Bolza cost,
    Numerical methods for partial differential equations, Vol. 37 (2) (2021) pp. 1693--1724 (IF--2.236, Q1 in SJR citation index, SCI).

  20. Nitin Kumar and Mani Mehra, Collocation method for solving non-linear fractional optimal control problems by using Hermite scaling function with error estimates,
    Optimal Control, Applications and Methods, Vol. 42 (2021) pp. 417–444 (IF--1.252, Q2 in SJR citation index, SCI).

    (paper has been recognised as top cited article in Optimal Control, Applications and Methods, 2021-2022)

    (paper has been recognised as top cited article in Optimal Control, Applications and Methods, 2020-2021)

  21. Vaibhav Mehandiratta, Mani Mehra and Gunter Leugering, An approach based on Haar wavelet for the approximation of fractional calculus with application to initial and boundary value problems,
    Mathematical Methods in the Applied Sciences, Vol. 44 (4) (2021) pp. 3195--3213 (IF--1.533, Q1 in SJR citation index, SCI).

  22. Ankita Shukla and Mani Mehra, Spectral graph wavelet regularization and adaptive wavelet for the backward heat conduction problem,
    Inverse Problems in Science & Engineering, Vol. 29 (4)(2021) pp. 457--488(IF--1.314, Q1 in SJR citation index, SCI).

  23. Vaibhav Mehandiratta, Mani Mehra and Gunter Leugering, Fractional optimal control problems on a star graph: optimality system and numerical solution,
    Mathematical Control and Related Fields, Vol. 11 (1) (2021) pp. 189--209 (IF--1.188, Q2 in SJR citation index, SCI).

  24. Vaibhav Mehandiratta and Mani Mehra, A difference scheme for the time-fractional diffusion equation on a metric star graph,
    Applied Numerical Mathematics, Vol. 158 (2020) pp. 152--163 (IF--1.678, Q1 in SJR citation index, SCI).

  25. Kuldip Singh Patel and Mani Mehra, Fourth order compact scheme for space fractional advection-diffusion reactionequations with variable coefficients,
    Journal of Computational and Applied Mathematics, Vol. 280 (2020) article no. 112963 (IF--1.883, Q2 in SJR citation index, SCI).

  26. Ankita Shukla and Mani Mehra, Compact filtering as a regularization technique for a backward heat conduction problem,
    Applied Numerical Mathematics, Vol. 153 (2020) pp. 82--97 (IF--1.678, Q1 in SJR citation index, SCI).

  27. Ankita Shukla, Mani Mehra and Gunter Leugering, A fast adaptive spectral graph wavelet method for the viscous Burgers' equation on a star-shaped connected graph,
    Mathematical Methods in the Applied Sciences, Vol. 43 (13) (2020) pp. 7595--7614 (IF--1.533, Q1 in SJR citation index, SCI).

  28. Ankita Shukla and Mani Mehra, Nonhomegeneous backward heat conduction problem:compact filter regularization and error estimates,
    Journal of Applied Mathematics and computing, Vol. 62 (2020) pp. 547--564 (Q3 in SJR citation index, SCI).

  29. Vaibhav Mehandiratta, Mani Mehra and Gunter Leugering, Existence and uniqueness results for a nonlinear Caputo fractional boundary value problem on a star graph,
    Journal of Mathematical Analysis and Applications, Vol. 447 (2019) pp. 1243--1264 (IF--1.188, Q1 in SJR citation index, SCI).

  30. Ankita Shukla and Mani Mehra, Fourth-order compact difference scheme for the backward heat conduction problem,
    International Journal for Computational Methods in Engineering Science & Mechanics, Vol. 20 (5) (2019) pp. 380--394 (ESCI).

  31. Kuldip Singh Patel and Mani Mehra, High-order compact finite difference scheme for pricing asian option with moving boundary condition,
    Differential equations and Dynamical systems, Vol. 27 (2019) pp. 39--56 (Q3 in SJR citation index, ESCI).

  32. Ratikanta Behera and Mani Mehra, An adaptive wavelet collocation method for solution of the convection dominated problem on the sphere,
    Int. J. Comput. methods, Vol. 15 (1) (2018) pp. 1850080--1850098 (IF--1.221, Q1 in SJR citation index, SCI).

  33. Kuldip Singh Patel and Mani Mehra, Fourth-order compact scheme for option pricing under the Merton's and Kou's jump--diffusion models,
    International Journal of Theoretical and Applied Finance, Vol. 21 (2018) pp.1850027-1--1850027-26 (Q2 in SJR citation index, ESCI).

  34. Kuldip Singh Patel and Mani Mehra, A numerical study of Asian options with high-order compact finite difference scheme,
    Journal of Applied Mathematics and Computing, Vol. 57 (2018) pp. 467--491 (Q3 in SJR citation index, SCI).

  35. Mani Mehra and Kuldip Singh Patel, A suite of compact finite difference schemes,
    ACM Transaction on Mathematical software, Vol. 44 (2017) (IF--1.69, Q1 in SJR citation index, SCI).

  36. Kuldip Singh Patel and Mani Mehra, Fourth-order compact finite difference scheme for American option pricing under regime-switching jump-diffusion models,
    International Journal of Applied and Computational Mathematics, Vol. 3 (1) (2017) pp. 547--567 (Q3 in SJR citation index).

  37. Kavita Goyal and Mani Mehra, An adaptive meshfree spectral graph wavelet method for PDEs,
    Applied Numerical Mathematics, Vol. 113 (2017) pp. 168--185 (IF--1.678, Q1 in SJR citation index, SCI).

  38. Ratikanta Behera and Mani Mehra, Approximation of the differential operators on an adaptive spherical geodesic grid using spherical wavelets ,
    Mathematics and Computers in Simulation, Vol. 132 (2017) pp. 120--138 (IF--1.409, Q2 in SJR citation index, SCI).

  39. Kavita Goyal and Mani Mehra, Fast diffusion wavelet method for PDEs ,
    Applied Mathematical Modelling, Vol. 40 (2016) pp. 5000--5025 (IF--2.841, Q1 in SJR citation index, SCI).

  40. Ratikanta Behera and Mani Mehra, A dynamic adaptive wavelet method for solution of the Schrodinger equation ,
    Journal of Multiscale Modelling, Vol. 6 (1) (2015) pp. 1--22 (ESCI).

  41. Kavita Goyal and Mani Mehra, An adaptive meshfree diffusion wavelet method for partial differential equation on the sphere,
    Journal of Computational Physics, Vol. 272 (2014) pp. 747--771 (IF--2.845, Q1 in SJR citation index, SCI).

  42. Ratikanta Behera, Mani Mehra and Nicholas Kevlahan, Multilevel approximation of the gradient operator on an adaptive spherical geodesic grid,
    Advances in Computational Mathematics, Vol. 14 (2014) pp. 663--689 (IF--1.638, Q1 in SJR citation index, SCI).

  43. Kavita Goyal and Mani Mehra, A fast adaptive diffusion wavelet method for Burger's equation ,
    Computers and Mathematics with Applications, Vol. 68 (2014) pp. 568--577 (IF--2.811, Q1 in SJR citation index, SCI).

  44. Mani Mehra and Ranjan K. Mallik, Solutions of differential--difference Equations arising from mathematical models of granulocytopoiesis ,
    Differential Equations and Dynamical Systems, Vol. 22 (1) (2014) pp. 33--49 (Q3 in SJR citation index, (ESCI).

  45. Mani Mehra and kavita Goyal, A suit on wavelet differentiation algorithms,
    ACM Transaction on Mathematical software, Vol. 39 (4) (2013).

  46. Ratikanta Behera and Mani Mehra, Integaripon of barotropic vorticity equation over spherical geodesic grid using multilevel adaptive wavelet collocation method ,
    Applied Mathematical Modelling, Vol. 37 (2013) pp. 5215--5226 (IF--2.841, Q1 in SJR citation index, SCI).

  47. Ratikanta Behera and Mani Mehra, Approximate solution of modified Camassa-Holm and modified Degasperis-Procesi (mDP) equations using wavelet optimized finite difference method ,
    International Journal of Wavelets, Multiresolution and Information Processing, Vol. 11 (2) (2013) (Q3 in SJR citation index, SCI).

  48. Vivek Kumar and Mani Mehra, Wavelet optimized finite difference method using interpolating wavelets for self-adjoint singularly perturbed problems ,
    Journal of Computational and Applied Mathematics, Vol. 230 (2009) pp. 803-812 (IF--1.883, Q2 in SJR citation index, SCI).

  49. Mani Mehra and B. V. Rathish Kumar, Error estimates for linear parabolic PDEs solved by wavelet based Taylor-Galerkin schemes ,
    International Journal of Wavelets, Multiresolution and Information Processing, Vol. 7 (2) (2009) pp. 143-162 (Q3 in SJR citation index, SCI).

  50. Mani Mehra and Nicholas Kevlahan, An adadptive wavelet collocation method for partial differential equations on the sphere,
    J. Comput. Phys.  Vol. 227 (11) (2008) pp. 5610-5632 (IF--2.845, Q1 in SJR citation index, SCI).

  51. Mani Mehra and Nicholas Kevlahan, An adaptive multilevel wavelet solver for elliptic equations on an optimal spherical geodesic grid,
    SIAM J. on Scientific Computing,   Vol. 30 (6) (2008) pp. 3073-3086 (IF--2, Q1 in SJR citation index, SCI).

  52. Mani Mehra and Vivek Kumar, Wavelet optimized finite difference using interpolating wavelets for solving singularly perturbed problems,
    Journal of Wavelet Theory and Applications, Vol. 1 (1) (2007) pp. 83-9 (ESCI).

  53. Mani Mehra and B. V. Rathish Kumar, Error estimates for time accurate wavelet based schemes for hyperbolic PDE's,
    International Journal of Wavelets, Multiresolution and Information Processing,  Vol. 5 (4) (2007) pp. 1-12 (Q3 in SJR citation index, SCI).

  54. Vivek Kumar and Mani Mehra, Cubic spline adaptive wavelet scheme to solve singularly perturbed reaction diffusion problems,
    International Journal of Wavelets, Multiresolution and Information Processing,  Vol. 5 (2) (2006) pp. 317-331 (Q3 in SJR citation index, SCI).

  55. Mani Mehra and B. V. Rathish Kumar, Time accurate fast three-step wavelet Galerkin method for PDE's,
    International Journal of Wavelets, Multiresolution and Information Processing , Vol. 4 (1) (2006) pp. 1-15 (Q3 in SJR citation index, SCI).

  56. B. V. Rathish Kumar and Mani Mehra, A three-step wavelet Galerkin method for parabolic and hyperbolic PDE's,
    International Journal of computer Mathematics,  Vol. 83 (1) (2006) pp. 143-157 (IF--1.196, Q2 in SJR citation index, SCI).

  57. B. V. Rathish Kumar and Mani Mehra, Time accurate fast wavelet-Taylor Galerkin method for partial differential equations,
    Numerical methods for partial differential equations,  Vol. 22 (2) (2005) pp. 274-295 (IF--2.236, Q1 in SJR citation index, SCI). 

  58. B. V. Rathish Kumar and Mani Mehra, Wavelet Taylor Galerkin method for Burgers equation,
    BIT Numerical Mathematics,   Vol. 45 (3) (2005) pp. 543-560 (IF--1.451, Q1 in SJR citation index, SCI).

  59. Mani Mehra and B. V. Rathish Kumar, Time-accurate solution of advection-diffusion problems by wavelet Taylor Galerkin method,
    Communications in Numerical Methods in Engineering,  Vol. 21 (2005) pp. 313-326 (IF--2.082, Q2 in SJR citation index, SCI).

  60. B. V. Rathish Kumar and Mani Mehra, A time-accurate Pseudo-wavelet scheme for parabolic and hyperbolic PDE's,
    Nonlinear Analysis,  Vol. 63 (2005) pp. e345-e356 (IF--1.450, Q1 in SJR citation index, SCI).

  61. B. V. Rathish Kumar and Mani Mehra, Time-accurate solutions of Korteweg-de Vries equation using wavelet Galerkin method,
    Applied Mathematics and Computation,  Vol. 162 (2005) pp. 447-460 (IF--3.092, Q1 in SJR citation index, SCI).

  62. B. V. Rathish Kumar and Mani Mehra, A time-accurate pseudo-wavelet scheme for two-dimensional turbulence,
    International Journal of Wavelets, Multiresolution and Information Processing , Vol. 3(4) (2005) pp. 1-13 (Q3 in SJR citation index, SCI).

  63. B. V. Rathish Kumar and Mani Mehra, Wavelet multilayer Taylor Galerkin schemes for hyperbolic and parabolic problems,
    Applied Mathematics and Computation,  Vol. 166 (2005) pp. 312-323 (IF--3.092, Q1 in SJR citation index, SCI).

  64. B. V. Rathish Kumar and Mani Mehra, A Wavelet-Taylor Galerkin method for parabolic and hyperbolic PDE's,
    International journal of computational methods, Vol. 2 (1) (2005) pp. 75-97 (IF--1.221, Q1 in SJR citation index, SCI).

  65. B. V. Rathish Kumar and Mani Mehra, Wavelet based preconditioners for sparse linear systems,
    Applied Mathematics and Computation,  Vol. 171 (2005) pp. 203-224 (IF--3.092, Q1 in SJR citation index, SCI) .

  66. B. V. Rathish Kumar, Shalini and Mani Mehra, Non stationary iterative solvers on PC cluster,
    Advances in Engineering Software,   Vol. 36 (2005) pp. 393-400 (IF--4.194, Q1 in SJR citation index, SCI).;

  67. B. V. Rathish Kumar, Bipin Kumar, Shalini, Mani Mehra, Peeyush Chandra and V. Raghvendra, Krylov Subspace solvers in parallel numerical computations of partial differential equations modelling heat transfer applications,
    International journal of Numerical Heat Transfer,   Vol. 45 (2004) pp. 479-503 (IF--1.953, Q1 in SJR citation index, SCI).

Conference Proceedings

  1. Yash Vats, Mani Mehra, Dietmar Oelz and Saurabh R. Gandhi, Fractional order modified Treves model : Simulation and Learning,
    International Conference on Fractional Differentiation and Its Applications (ICFDA), Ajman, United Arab Emirates, (2023) pp. 1--5.

  2. Shweta Kumari and Mani Mehra, L1 type approximation of a temporally loaded time-fractional diffusion equation,
    International Conference on Fractional Differentiation and Its Applications (ICFDA), Ajman, United Arab Emirates, (2023) pp. 1--6.

  3. Abhishek Kumar, Mani Mehra and and Anatoly A. Alikhanov, Data-driven discovery of time fractional differential equations,
    Lecture Notes in Computer Science, Vol. 13351 (2022) pp. 56--63.

  4. Vaibhav Mehandiratta, Mani Mehra and Gunter Leugering, Existence and Uniqueness of Time-Fractional Diffusion Equation on a Metric Star Graph,
    Communications in Computer and Information Science, Vol. 1345 (2021) pp. 25–41.

  5. Kuldip Singh Patel and Mani Mehra, Compact Finite Difference Method for Pricing European and American Options Under Jump-Diffusion Models,
    Communications in Computer and Information Science, Vol. 1345 (2021) pp. 91–108.

  6. Abhishek Kumar and Mani Mehra, Analytic and Numerical Solutions of Space-Time Fractional Diffusion Wave Equations with different Fractional order,
    Lecture Notes in Computer Science, Vol. 12742 (2021) pp. 408--421.

  7. Abhishek Kumar and Mani Mehra, Uncertainty Quantification in Fractional Stochastic Integro-Differential Equations Using Legendre Wavelet Collocation Method,
    Lecture Notes in Computer Science, Vol. 12138 (2020) pp. 58--71.

  8. Ankita Shukla and Mani Mehra, A Compact Filter Regularization Method for Solving Sideways Heat Equation,
    Lecture Notes in Computer Science, Vol. 11974, (2020) pp. 470--477.

  9. Kuldip Singh Patel and Mani Mehra, High-Order Compact Finite Difference Method for Black–Scholes PDE,
    Mathematics Analysis and its Applications, Springer Proceedings in Mathematics and Statistics, (2014) pp. 393--403.

  10. Kavita Goyal and Mani Mehra, Wavelets and inverse problems,
    Mathematics in Science and Technology, Mathematical methods, models and algorithms in science and technology, Proceedings of Satellite conference of ICIAM 2011, (2011) pp. 430--447.

  11. Mani Mehra, Nutan Patel and Rahul Kumar, Comparison Between Different Numerical Methods for Discretization of PDEs-A Short Review,
    AIP Conference Proceedings, Vol. 1281 (2010) pp. 599--602.

  12. Mani Mehra, Wavelets and Differential equations-A short review,
    AIP Conference Proceedings, Vol. 1146 (2009) pp. 241--252.

Conference Abstract

  1. Existence and uniqueness of time-fractional diffusion equation on a star, 3'rd international conference and summer school Numerical computations:Theory and algorithms, 15'th--21'st June 2019, Crotone Italy.

  2. Finite Difference Approximation for Space-Time Fractional Diffusion Wave Equations, 3'rd international conference and summer school Numerical computations:Theory and algorithms, 15'th--21'st June 2019, Crotone Italy.

  3. Extension of wavelets to topologically complicated domains, International Conference on Mathematical Modelling and Scientific Computing, 19'th--21'st July 2018, IIT Indore, Indore, India.

  4. Extension of wavelet to networks, 33rd Annual Conference of the Ramanujan Mathematical Society, 1'st--3'rd June 2018, University of Delhi, Delhi, India.

  5. High--order compact finite difference methods for problems arising in option pricing, International Conference on Currents Trends in Theoretical and Computational Differential Equations with Applications, 1'st--5'th Dec. 2017, South Asian University, Delhi, India.

  6. Extension of wavelet to networks, Conference on Mathematical Analysis and Applications, 18--19 Nov. 2017, University of Lucknow, India.

  7. Fourth order compact scheme for PDEs:application in finance, Research Scholar Seminar and Annual Conference of the Society of Mathematical Sciences (Delhi), 2017, Delhi University, India.

  8. High order compact finite difference method for BlackScholes PDE in option pricing, at 8th International Congress on Industrial and Applied Mathematics, 2015, Beijing, China.

  9. Diffusion wavelet based space--time adaptive numerical method, at the international conference on Mathematical Modelling and Computational Methods in Applied Sciences and Engineering , 2014, Roznov pod Radhostem, Czech Republic.

  10. An adaptive meshfree spectral graph wavelet method for partial differential equations on the sphere, at 5th International Conference on Computational Harmonic Analysis, 2014, Vanderbilt University, Nashville, USA.

  11. Sparse evolutions of functions using diffusion wavelet, at the international workshop for Conference on Applied Harmonic Analysis and Multiscale Computing, 2011, University of Alberta, Edmonton, Canada.

  12. Adaptive wavelet collocation method for PDEs, at the international workshop for Fluid and Plasma turbulence: Application to Magnetically Confined Plasmas in Fusion Devices, 2008, Marseille, France.

  13. Poster on Error estimates for linear PDE's solved by wavelet based Taylor-Galerkin schemes, at the conference of Wave2006, 2006, EPFL, Switzerland.

  14. Error estimates for linear PDE's solved by wavelet based Taylor-Galerkin schemes, at the fifth international conference on Scientific Computing and Application, 2006, Banff, Alberta, Canada.

  15. Wavelet based Fast Time Accurate schemes for Partial Differential Equations at the third Montreal Scientific Computing Days, 2006, Montreal, Canada.

  16. Poster on Krylov Subspace Solvers in Parallel Finite Computation of PDEs Modelling Convection in Wavy Porous Enclosures at the conference Recent Advances in Nonlinear Science, 2002, Indian Institute of Science, Bangalore, India.

  17. Wavelet multilayer Taylor Galerkin schemes for Hyperbolic and Parabolic problems, at the 48th Congress of Indian Society of Theoretical and applied Mechanics, 2003, BIT Mesra, India.

  18. Krylov Solvers on Parallel Computers, at the 48th Congress of Indian Society of Theoretical and applied Mechanics (An International Meet), 2003, BIT Mesra, India.

  19. A Wavelet Taylor Galerkin Method for Advection-Diffusion problems, at the 31st Conference of Orissa Mathematical Society, 2004, Orissa, India.

Invited Talks

  1. Machine learning of fractional differential equations, June 2022, Sastra University, Tamilnadu, India

  2. Machine learning of fractional differential equations, Recent development in Numerical Methods for Partial differential equations, May. 30-June 3, 2022, NIT Hamirpur, India

  3. Machine learning of fractional differential equations, Hybrid 3rd International Conference on Recent Development in Engineering & Technology (ICRDET-2022), Feb. 25-26, 2022, Anand-ICE, Jaipur and RTU, Kota, India.

  4. Computational methods for differential equations, Sep. 2021, Jammu and Kashmir Institute of Mathematical Sciences, Srinagar, India.

  5. Extension of wavelets to topologically complicated domains, International Conference on Recent Advances in Mathematical Science and Its Applications, 26'th--27'th Aug. 2021, Mother Teresa Women’s University, Kodaikanal, Tamil Nadu, India.

  6. Resource person in FDP on Introduction to Financial Mathematics: exploring the machine learning approach for option pricing problems in stock market, 23'th--27'th Aug. 2021, IIIT Naya Raipur, India.

  7. Resource person in TEQIP--III sponsored workshop on Mathematics without boundaries, 23'th--27'th Nov. 2020, NIT Srinagar, India.

  8. Resource person in em Resource person in QIP course on Wavelet via Matrices and its Applications in signals and image processing, 16'th--20'th Nov. 2020, IIT Indore, India.

  9. Resource person in faculty development program on Application of Laplace Transform and Techniques in Engineering, 4'th--6'th June, 2020, OIST, Bhopal, India.

  10. Resource person in 2–week refresher course on computational and mathematical sciences, 7'th--20'th Feb. 2020, Jamia Millia University, Delhi, India.

  11. Resource person in Short term Course on Evolution Equations : Theory and Computation, 12'th--17'th Aug. 2019, IIT Madras, Chennai, India.

  12. Resource person in National Workshop on Advanced Numerical techniques and its applications, 06'th--11'th May 2019, Graphic Era Hill University Dehradun, India.

  13. Resource person in Workshop on Emerging Computational Methods for Science and Engineering Applications, 15'th--16'th March 2019, JIIT Noida, Noida, India.

  14. Wavelet approximation techniques and its application to differential equations, March 2019, Jamia Millia University, Delhi, India.

  15. Resource person in Short Term Course on Scientific Techniques & Computational Approaches, 24'th--28'th Dec. 2018, MNIT-Jaipur, Jaipur, India.

  16. Resource person in QIP and CEP short term course on Computational Methods for Integral and Differential Equations (CMIDE 2018), 10'th--16'th Dec. 2018, IIT (BHU), Varanasi, India.

  17. High order compact schemes for option pricing problems, International conference on recent advances on recent trends in pure and applied mathematics, 23'rd--25'th Oct. 2018, DTU, Delhi, India.

  18. Resource person in workshop on advanced Computational Techniques for Differential Equations with MATLAB, 18'th--22'nd Sep. 2018, IIT Roorkee, India.

  19. Resource person in workshop on Numerical Methods and its Applications in various allied fields of Sciences, 17'th--22'nd Sep. 2018, Deen Dayal Upadhaya college, Delhi, India.

  20. Resource person in Teachers Enrichment workshop (TEW), Differential Equations, Mathematical Modelling and Analysis (DEMMA), 24'th--29'th July 2018, Deshbandhu college, Delhi, India.

  21. Extension of wavelets to topologically complicated domains, International Conference on Mathematical Modelling and Scientific Computing, 19'th--21'st July 2018, IIT Indore, Indore, India.

  22. Extension of wavelet to networks, 33rd Annual Conference of the Ramanujan Mathematical Society, 1'st--3'rd June 2018, University of Delhi, Delhi, India.

  23. High--order compact finite difference methods for problems arising in option pricing, International Conference on Currents Trends in Theoretical and Computational Differential Equations with Applications, 1'st--5'th Dec. 2017, South Asian University, Delhi, India.

  24. Extension of wavelet to networks, Conference on Mathematical Analysis and Applications, 18--19 Nov. 2017, University of Lucknow, India.

  25. Fourth order compact scheme for PDEs:application in finance, Research Scholar Seminar and Annual Conference of the Society of Mathematical Sciences (Delhi), 2017, Delhi University, India.

  26. Introduction to wavelets, Short term course on Mathematical analysis and applications, 2016, IIT Roorkee, India.

  27. Famous Mathematician and why do Mathematics?, DST Inspire Science Camnp, 2016, ITM Meerut, India.

  28. Solution of differential equations using wavelets, Workshop on computational techniques for differential equations with MATLAB, 2015, IIT Roorkee, India.

  29. Wavelets and its applications, 2015, LNMIIT, Jaipur, India.

  30. Applications of wavelets in numerical analysis, 2014, MRCE, Faridabad, India.

    31. Talks I: Introduction to wavelets Talk II: Wavelets based numerical methods for PDEs, Refresher course in Mathematics, Computer science, Statistics and Operation research, 2013, Delhi University, India.

  31. Hand on session on MATLAB, National Workshop and Training Program on Differential Equations and Mathematical Modeling [DEMM], 2012, Delhi University, India.

  32. Sparse evolution of functions using diffusion wavelets, ICIAM conference, 2011, Vancouver, Canada.

  33. Wavelets and its applications, Workshop on Wavelets and Its Applications in Signal Processing, 2011, JIIT Noida, India.

  34. Wavelets based numerical methods for PDEs, Workshops on Advanced Computing and Software Tools (ACST-2010), 2010, JIIT Noida, India.

  35. Application of wavelets to partial differential equations, MODELLING OF ENGINEERING AND TECHNOLOGICAL PROBLEMS: International Conference on Modelling and Engineering and Technological Problems (ICMETP) and the 9th Biennial National Conference of Indian Society of Industrial and Applied Mathematics (ISIAM), Agra, India, 2009.

  36. Applications of wavelets to partial differential equations, 2007, Center for Atmospheric Science, Indian Institute of Science, Bangalore, India.

  37. Applications of wavelets to partial differential equations, 2007, Tata institute of fundamental Research, Bangalore, India.

  38. Adaptive wavelet collocation method for partial differential equations on the sphere, in AIMS/Phimac Seminor, Dept. of Mathematics and Statistics, McMaster University, Canada, Oct. 2006.

  39. Wavelet based Fast Time Accurate schemes for Partial Differential Equations, in AIMS/Phimac Seminor, Dept. of Mathematics and Statistics, McMaster University, Canada, Oct. 2005.

Chaired session in Conferences//Workshop

  1. International Conference on Computational Sciences - Modelling, Computing and Soft Computing, 10'th--12'th Sep. 2020, NIT Calicut, India.

  2. 9th International Congress on Industrial and Applied Mathematics, 15'th--19'th July 2019, Valencia, Spain.

  3. Recent Advances on Theoretical and Computational Partial Differential Equations, 2016, Chandigar University, India.

Contributed Talks

  1. Compact finite difference method for time fractional Black-Scholes partial differential equation, 9'th International Congress on Industrial and Applied Mathematics, 15'th--19'th July 2019, Valencia, Spain.

  2. High--order compact finite difference methods for time fractional Black--Scholes PDE, Seventh Conference on Finite Difference Methods:Theory and Applications, 11'th--16'th June 2018, Lozenetz, Bulgaria.

  3. Extension of wavelet to networks, Partial differential equations, optimal design and numerics, 2017, Benasque, Spain.

  4. High-order compact finite difference method for Black Scholes PDE in option pricing, 8th International Congress on Industrial and Applied Mathematics , 2015, Beijing, China.

  5. Diffusion wavelet based space--time adaptive numerical method, International conference on Mathematical Modelling and Computational Methods in Applied Sciences and Engineering, 2014, Roznov pod Radhostem, Czech Republic.

  6. Adaptive wavelet collocation method for PDEs, International workshop international workshop for Fluid and Plasma turbulence: Application to Magnetically Confined Plasmas in Fusion Devices, 2008, Marseille, France

  7. Error estimates for linear PDE's solved by wavelet based Taylor-Galerkin schemes, fifth international conference on Scientific Computing and Application, 2006, Banff, Alberta, Canada.

  8. Wavelet based Fast Time Accurate schemes for Partial Differential Equations third Montreal Scientific Computing Days, 2006, Montreal, Canada.

  9. Wavelet Multilayer Taylor Galerkin schemes for Hyperbolic and Parabolic problems, 48th Congress of Indian Society of Theoretical and applied Mechanics, 2003, BIT Mesra, India.

  10. Krylov Solvers on Parallel Computers, 48th Congress of Indian Society of Theoretical and applied Mechanics (An International Meet), 2003, BIT Mesra, India.

  11. A Wavelet Taylor Galerkin Method for Advection-Diffusion problems, 31st Conference of Orissa Mathematical Society, 2004, Orissa, India.

Conference//Workshop Attended

  1. 9th International Congress on Industrial and Applied Mathematics, 15'th--19'th July 2019, Valencia, Spain.

  2. Seventh Conference on Finite Difference Methods:Theory and Applications, 11'th--16'th June 2018, Lozenetz, Bulgaria.

  3. Partial differential equations, optimal design and numerics, 2017, Benasque, Spain.

  4. Recent Advances on Theoretical and Computational Partial Differential Equations, 2016, Chandigar University, India (Session chair).

  5. 8th International Congress on Industrial and Applied Mathematics (ICIAM), 2015, Beijing, China.

  6. International conference on Mathematical Modelling and Computational Methods in Applied Sciences and Engineering, 2014, Roznov pod Radhostem, Czech Republic.

  7. 10th International Conference on Sampling Theory and Applications, 2013, Bremen, Germany.

  8. 11th Biennial conference of ISIAM (Indian Society of the Industrial and Applied Mathematics), 2012, Gautam Buddha University, India.

  9. ICIAM, 2011, Vancouver, Canada.

  10. Wavelets and Its Applications in Signal Processing, 2011, JIIT, Noida, India.

  11. Advanced Computing and Software Tools (ACST-2010), 2010, JIIT, Noida, India.

  12. Inverse problems and wavelets with applications to real world system, 2010, IHC, New Delhi, India.

  13. Satellite conference of ICM2010 on Mathematics in Science and Technology, 2010, IHC, New Delhi, India.

  14. International Conference on Modelling and Engineering and Technological Problems (ICMETP) and the 9th Biennial National Conference of Indian Society of Industrial and Applied Mathematics (ISIAM), 2009, Agra, India.

  15. International workshop for Fluid and Plasma turbulence: Application to Magnetically Confined Plasmas in Fusion Devices, 2008, Marseille, France.

  16. Wave2006, 2006, EPFL, Switzerland.

  17. CAIMS-MITACS 2006 Joint Annual conference, 2006, York Univ., Toronto, Canda.

  18. Fifth international conference on Scientific Computing and Application, 2006, Banff, Alberta, Canada.

  19. Third Montreal Scientific Computing Days, 2006, Montreal, Canada.

  20. International Conference on Mathematical Biology, 2004, IIT-Kanpur, India.

  21. Recent Advances in Nonlinear Science, 2002 by Indian Institute of Science, Bangalore, India.

  22. 48th Congress of Indian Society of Theoretical and applied Mechanics, 2003, BIT Mesra, India.

  23. 31st Conference of Orissa Mathematical Society, 2004, Bhubaneswar, India.

  24. National Workshop on Wavelet Analysis and Applications, 2004, Bhubaneswar, India.

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