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2020 – today
- 2024
[i2]Abhishek Kumar Singh
, Mani Mehra, Anatoly A. Alikhanov:
Modified least squares method and a review of its applications in machine learning and fractional differential/integral equations. CoRR abs/2405.00382 (2024)- 2023
- [j27]Abhishek Kumar Singh, Mani Mehra:
An algorithm to estimate parameter in Müntz-Legendre polynomial approximation for the numerical solution of stochastic fractional integro-differential equation. J. Appl. Math. Comput. 69(3): 2675-2694 (2023) - [i1]Shweta Kumari, Abhishek Kumar Singh, Vaibhav Mehandiratta, Mani Mehra:
High order approximation to Caputo derivative on graded mesh and time-fractional diffusion equation for non-smooth solutions. CoRR abs/2309.13316 (2023) - 2022
- [c4]Abhishek Kumar Singh, Mani Mehra, Anatoly A. Alikhanov:
Data-Driven Discovery of Time Fractional Differential Equations. ICCS (1) 2022: 56-63 - 2021
- [j26]Mani Mehra, Ankita Shukla, Günter Leugering:
An adaptive spectral graph wavelet method for PDEs on networks. Adv. Comput. Math. 47(1): 12 (2021) - [j25]Abhishek Kumar Singh, Mani Mehra:
Wavelet collocation method based on Legendre polynomials and its application in solving the stochastic fractional integro-differential equations. J. Comput. Sci. 51: 101342 (2021) - [j24]Vaibhav Mehandiratta, Mani Mehra, Günter 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 Heterog. Media 16(2): 155-185 (2021) - [j23]Vaibhav Mehandiratta, Mani Mehra, Günter Leugering:
Optimal Control Problems Driven by Time-Fractional Diffusion Equations on Metric Graphs: Optimality System and Finite Difference Approximation. SIAM J. Control. Optim. 59(6): 4216-4242 (2021) - [c3]Abhishek Kumar Singh, Mani Mehra:
Analytic and Numerical Solutions of Space-Time Fractional Diffusion Wave Equations with Different Fractional Order. ICCS (1) 2021: 408-421 - 2020
- [j22]Ankita Shukla, Mani Mehra:
Nonhomogeneous backward heat conduction problem: Compact filter regularization and error estimates. J. Appl. Math. Comput. 62(1-2): 547-564 (2020) - [j21]Kuldip Singh Patel, Mani Mehra:
Fourth order compact scheme for space fractional advection-diffusion reaction equations with variable coefficients. J. Comput. Appl. Math. 380: 112963 (2020) - [c2]Abhishek Kumar Singh, Mani Mehra:
Uncertainty Quantification in Fractional Stochastic Integro-Differential Equations Using Legendre Wavelet Collocation Method. ICCS (2) 2020: 58-71
2010 – 2019
- 2019
- [c1]Ankita Shukla, Mani Mehra:
A Compact Filter Regularization Method for Solving Sideways Heat Equation. NUMTA (2) 2019: 470-477 - 2017
- [j20]Ratikanta Behera, Mani Mehra:
Approximation of the differential operators on an adaptive spherical geodesic grid using spherical wavelets. Math. Comput. Simul. 132: 120-138 (2017) - [j19]Mani Mehra, Kuldip Singh Patel:
Algorithm 986: A Suite of Compact Finite Difference Schemes. ACM Trans. Math. Softw. 44(2): 23:1-23:31 (2017) - 2015
- [j18]Ratikanta Behera, Mani Mehra, Nicholas K.-R. Kevlahan:
Multilevel approximation of the gradient operator on an adaptive spherical geodesic grid. Adv. Comput. Math. 41(3): 663-689 (2015) - 2014
- [j17]Kavita Goyal, Mani Mehra:
A fast adaptive diffusion wavelet method for Burger's equation. Comput. Math. Appl. 68(4): 568-577 (2014) - [j16]Kavita Goyal, Mani Mehra:
An adaptive meshfree diffusion wavelet method for partial differential equations on the sphere. J. Comput. Phys. 272: 747-771 (2014) - 2013
- [j15]Ratikanta Behera, Mani Mehra:
Approximate solution of modified Camassa-Holm and Degasperis-Procesi equations using Wavelet Optimized Finite difference Method. Int. J. Wavelets Multiresolution Inf. Process. 11(2) (2013) - [j14]Mani Mehra, Kavita Goyal:
Algorithm 929: A suite on wavelet differentiation algorithms. ACM Trans. Math. Softw. 39(4): 27:1-27:28 (2013)
2000 – 2009
- 2009
- [j13]Mani Mehra, B. V. Rathish Kumar:
Error Estimates for Linear PDEs Solved by Wavelet Based Taylor-Galerkin Schemes. Int. J. Wavelets Multiresolution Inf. Process. 7(2): 143-162 (2009) - 2008
- [j12]Mani Mehra, Nicholas K.-R. Kevlahan:
An adaptive wavelet collocation method for the solution of partial differential equations on the sphere. J. Comput. Phys. 227(11): 5610-5632 (2008) - [j11]Mani Mehra, Nicholas K.-R. Kevlahan:
An Adaptive Multilevel Wavelet Solver for Elliptic Equations on an Optimal Spherical Geodesic Grid. SIAM J. Sci. Comput. 30(6): 3073-3086 (2008) - 2007
- [j10]Mani Mehra, Vivek Kumar:
Fast wavelet-Taylor Galerkin method for linear and non-linear wave problems. Appl. Math. Comput. 189(2): 1292-1299 (2007) - [j9]Vivek Kumar, Mani Mehra:
Cubic spline Adaptive Wavelet Scheme to Solve singularly perturbed Reaction Diffusion Problems. Int. J. Wavelets Multiresolution Inf. Process. 5(2): 317-331 (2007) - [j8]Mani Mehra, B. V. Rathish Kumar:
Error Estimates for Time Accurate Wavelet Based Schemes for Hyperbolic Partial Differential Equations. Int. J. Wavelets Multiresolution Inf. Process. 5(4): 667-678 (2007) - 2006
- [j7]B. V. Rathish Kumar, Mani Mehra:
A three-step wavelet Galerkin method for parabolic and hyperbolic partial differential equations. Int. J. Comput. Math. 83(1): 143-157 (2006) - [j6]Mani Mehra, B. V. Rathish Kumar:
Time Accurate Fast Three-Step Wavelet-Galerkin Method for Partial Differential Equations. Int. J. Wavelets Multiresolution Inf. Process. 4(1): 65-79 (2006) - 2005
- [j5]B. V. Rathish Kumar, Shalini, Mani Mehra:
Non-stationary iterative solvers on a PC cluster. Adv. Eng. Softw. 36(6): 393-400 (2005) - [j4]B. V. Rathish Kumar, Mani Mehra:
Time-accurate solutions of Korteweg-de Vries equation using wavelet Galerkin method. Appl. Math. Comput. 162(1): 447-460 (2005) - [j3]B. V. Rathish Kumar, Mani Mehra:
Wavelet multilayer Taylor Galerkin schemes for hyperbolic and parabolic problems. Appl. Math. Comput. 166(2): 312-323 (2005) - [j2]B. V. Rathish Kumar, Mani Mehra:
Wavelet based preconditioners for sparse linear systems. Appl. Math. Comput. 171(1): 203-224 (2005) - [j1]B. V. Rathish Kumar, Mani Mehra:
A Time Accurate Pseudo-Wavelet Scheme for Two-Dimensional Turbulence. Int. J. Wavelets Multiresolution Inf. Process. 3(4): 587-599 (2005)
Coauthor Index
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