Mani Mehra

42 papers Journal 37Unranked 5
YearRankTypeTitle / Venue / Authors
2026 J jnl
Fokker-Planck Dynamics on Star Graphs with Variable Drift: Well-Posedness, Adjoint Analysis, and Numerical Approximation.
CoRR
Ritu Kumari, Cyrille Kenne, Landry Djomegne, Mani Mehra
2025 J jnl
A stability-enhanced nonstandard finite difference framework for solving one and two-dimensional nonlocal differential equations.
CoRR
Shweta Kumari, Mani Mehra
2025 J jnl
Finite difference approximation of time-fractional advection-diffusion equation on a metric star graph.
Int. J. Comput. Math.
Shweta Kumari, Mani Mehra, Vaibhav Mehandiratta
2025 — conf
Fourier Error Analysis of Caputo Derivative Approximations Based on Lagrange Interpolation over Uniform Mesh.
ICCS (Workshops 5)
Shweta Kumari, Mani Mehra
2025 J jnl
Fractional Quadrature rule and using its Exactness for the Müntz-Legendre Scaling Functions for Solving Fractional Differential Equations.
CoRR
Ritu Kumari, Mani Mehra, Abhishek Kumar Singh
2025 J jnl
Müntz-Legendre Wavelet Collocation Method for the Solution of Optimal Control Problems with Fractional-Loaded Differential Equations.
SN Comput. Sci.
Ritu Kumari, Mani Mehra
2025 J jnl
Müntz-Legendre wavelet collocation method for loaded optimal control problem.
Int. J. Syst. Sci.
Ritu Kumari, Mani Mehra, Nitin Kumar
2025 J jnl
Non-local physics informed neural networks for forward and inverse problems containing non-local operators.
Neural Comput. Appl.
Abhishek Kumar Singh, Mani Mehra, Roland Pulch
2025 J jnl
SWARMESH: Swarm-driven adaptive mesh for singular perturbation problems.
Swarm Evol. Comput.
Aneesh Panchal, Abhishek Kumar Singh, Vivek Kumar, Mani Mehra
2024 J jnl
Modified least squares method and a review of its applications in machine learning and fractional differential/integral equations.
CoRR
Abhishek Kumar Singh, Mani Mehra, Anatoly A. Alikhanov
2023 J jnl
An algorithm to estimate parameter in Müntz-Legendre polynomial approximation for the numerical solution of stochastic fractional integro-differential equation.
J. Appl. Math. Comput.
Abhishek Kumar Singh, Mani Mehra
2023 J jnl
High order approximation to Caputo derivative on graded mesh and time-fractional diffusion equation for non-smooth solutions.
CoRR
Shweta Kumari, Abhishek Kumar Singh, Vaibhav Mehandiratta, Mani Mehra
2022 — conf
Data-Driven Discovery of Time Fractional Differential Equations.
ICCS (1)
Abhishek Kumar Singh, Mani Mehra, Anatoly A. Alikhanov
2021 J jnl
An adaptive spectral graph wavelet method for PDEs on networks.
Adv. Comput. Math.
Mani Mehra, Ankita Shukla, Günter Leugering
2021 — conf
Analytic and Numerical Solutions of Space-Time Fractional Diffusion Wave Equations with Different Fractional Order.
ICCS (1)
Abhishek Kumar Singh, Mani Mehra
2021 J jnl
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
Vaibhav Mehandiratta, Mani Mehra, Günter Leugering
2021 J jnl
Optimal Control Problems Driven by Time-Fractional Diffusion Equations on Metric Graphs: Optimality System and Finite Difference Approximation.
SIAM J. Control. Optim.
Vaibhav Mehandiratta, Mani Mehra, Günter Leugering
2021 J jnl
Wavelet collocation method based on Legendre polynomials and its application in solving the stochastic fractional integro-differential equations.
J. Comput. Sci.
Abhishek Kumar Singh, Mani Mehra
2020 J jnl
Fourth order compact scheme for space fractional advection-diffusion reaction equations with variable coefficients.
J. Comput. Appl. Math.
Kuldip Singh Patel, Mani Mehra
2020 J jnl
Nonhomogeneous backward heat conduction problem: Compact filter regularization and error estimates.
J. Appl. Math. Comput.
Ankita Shukla, Mani Mehra
2020 — conf
Uncertainty Quantification in Fractional Stochastic Integro-Differential Equations Using Legendre Wavelet Collocation Method.
ICCS (2)
Abhishek Kumar Singh, Mani Mehra
2019 — conf
A Compact Filter Regularization Method for Solving Sideways Heat Equation.
NUMTA (2)
Ankita Shukla, Mani Mehra
2017 J jnl
Algorithm 986: A Suite of Compact Finite Difference Schemes.
ACM Trans. Math. Softw.
Mani Mehra, Kuldip Singh Patel
2017 J jnl
Approximation of the differential operators on an adaptive spherical geodesic grid using spherical wavelets.
Math. Comput. Simul.
Ratikanta Behera, Mani Mehra
2015 J jnl
Multilevel approximation of the gradient operator on an adaptive spherical geodesic grid.
Adv. Comput. Math.
Ratikanta Behera, Mani Mehra, Nicholas K.-R. Kevlahan
2014 J jnl
A fast adaptive diffusion wavelet method for Burger's equation.
Comput. Math. Appl.
Kavita Goyal, Mani Mehra
2014 J jnl
An adaptive meshfree diffusion wavelet method for partial differential equations on the sphere.
J. Comput. Phys.
Kavita Goyal, Mani Mehra
2013 J jnl
Algorithm 929: A suite on wavelet differentiation algorithms.
ACM Trans. Math. Softw.
Mani Mehra, Kavita Goyal
2013 J jnl
Approximate solution of modified Camassa-Holm and Degasperis-Procesi equations using Wavelet Optimized Finite difference Method.
Int. J. Wavelets Multiresolution Inf. Process.
Ratikanta Behera, Mani Mehra
2009 J jnl
Error Estimates for Linear PDEs Solved by Wavelet Based Taylor-Galerkin Schemes.
Int. J. Wavelets Multiresolution Inf. Process.
Mani Mehra, B. V. Rathish Kumar
2008 J jnl
An Adaptive Multilevel Wavelet Solver for Elliptic Equations on an Optimal Spherical Geodesic Grid.
SIAM J. Sci. Comput.
Mani Mehra, Nicholas K.-R. Kevlahan
2008 J jnl
An adaptive wavelet collocation method for the solution of partial differential equations on the sphere.
J. Comput. Phys.
Mani Mehra, Nicholas K.-R. Kevlahan
2007 J jnl
Cubic spline Adaptive Wavelet Scheme to Solve singularly perturbed Reaction Diffusion Problems.
Int. J. Wavelets Multiresolution Inf. Process.
Vivek Kumar, Mani Mehra
2007 J jnl
Error Estimates for Time Accurate Wavelet Based Schemes for Hyperbolic Partial Differential Equations.
Int. J. Wavelets Multiresolution Inf. Process.
Mani Mehra, B. V. Rathish Kumar
2007 J jnl
Fast wavelet-Taylor Galerkin method for linear and non-linear wave problems.
Appl. Math. Comput.
Mani Mehra, Vivek Kumar
2006 J jnl
A three-step wavelet Galerkin method for parabolic and hyperbolic partial differential equations.
Int. J. Comput. Math.
B. V. Rathish Kumar, Mani Mehra
2006 J jnl
Time Accurate Fast Three-Step Wavelet-Galerkin Method for Partial Differential Equations.
Int. J. Wavelets Multiresolution Inf. Process.
Mani Mehra, B. V. Rathish Kumar
2005 J jnl
A Time Accurate Pseudo-Wavelet Scheme for Two-Dimensional Turbulence.
Int. J. Wavelets Multiresolution Inf. Process.
B. V. Rathish Kumar, Mani Mehra
2005 J jnl
Non-stationary iterative solvers on a PC cluster.
Adv. Eng. Softw.
B. V. Rathish Kumar, Shalini, Mani Mehra
2005 J jnl
Time-accurate solutions of Korteweg-de Vries equation using wavelet Galerkin method.
Appl. Math. Comput.
B. V. Rathish Kumar, Mani Mehra
2005 J jnl
Wavelet based preconditioners for sparse linear systems.
Appl. Math. Comput.
B. V. Rathish Kumar, Mani Mehra
2005 J jnl
Wavelet multilayer Taylor Galerkin schemes for hyperbolic and parabolic problems.
Appl. Math. Comput.
B. V. Rathish Kumar, Mani Mehra