A Self-Adaptive Numerical Method to Solve Convection-Dominated Diffusion Problems

Robust DPG Method for Convection-Dominated Diffusion Problems

Numerical Methods for Scalar Convection-Dominated Problems

On Adaptive Eulerian-Lagrangian Method for Linear Convection-Diffusion Problems

In this paper, we consider the adaptive Eulerian–Lagrangian method (ELM) for linear convection-diffusion problems. Unlike the classical a posteriori error estimations, we estimate the temporal error along the characteristics and derive a new a posteriori error bound for ELM semi-discretization. With the help of this proposed error bound, we are able to show the optimal convergence rate of ELM f...

An adaptive multi-level method for convection diffusion problems

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A numerical approach to solve eighth order boundary value problems by Haar wavelet collocation method

In this paper a robust and accurate algorithm based on Haar wavelet collocation method (HWCM) is proposed for solving eighth order boundary value problems. We used the Haar direct method for calculating multiple integrals of Haar functions. To illustrate the efficiency and accuracy of the concerned method, few examples are considered which arise in the mathematical modeling of fluid dynamics an...