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math.NA2023
Linear and Nonlinear Parareal Methods for the Cahn-Hilliard Equation
Gobinda Garai, Bankim C. Mandal
In this paper, we propose, analyze and implement efficient time parallel methods for the Cahn-Hilliard (CH) equation. It is of great importance to develop efficient numerical metho…
math.NA2023
Diagonalization Based Parallel-in-Time Method for a Class of Fourth Order Time Dependent PDEs
Gobinda Garai, Bankim C. Mandal
In this paper, we design, analyze and implement efficient time parallel method for a class of fourth order time-dependent partial differential equations (PDEs), namely biharmonic h…
math.NA2023
Dirichlet-Neumann Waveform Relaxation Algorithm for Time Fractional Diffusion Equation in Heterogeneous Media
Soura Sana, Bankim C. Mandal
In this article, we have studied the convergence behavior of the Dirichlet-Neumann waveform relaxation algorithms for time-fractional sub-diffusion and diffusion wave equations in…