A fast Sine transform accelerated high-order finite difference method for parabolic problems over irregular domains

C Li, Y Ren, G Long, E Boerman, S Zhao - Journal of Scientific Computing, 2023 - Springer
In this paper, a new Cartesian grid finite difference scheme is introduced for solving
parabolic initial-boundary value problems involving irregular domains and Robin boundary …

A type of efficient multigrid method for semilinear parabolic interface problems

F Chen, M Cui, C Zhou - … in Nonlinear Science and Numerical Simulation, 2025 - Elsevier
This paper proposes and analyzes a type of efficient multigrid method, which is called
multilevel correction method, for solving semilinear parabolic interface problems. The core …

[HTML][HTML] Alternating direction implicit (ADI) methods for solving two-dimensional parabolic interface problems with variable coefficients

C Li, G Long, Y Li, S Zhao - Computation, 2021 - mdpi.com
The matched interface and boundary method (MIB) and ghost fluid method (GFM) are two
well-known methods for solving elliptic interface problems. Moreover, they can be coupled …

LOCAL ALGEBRAIC MULTIGRID TECHNIQUE TO ACCELERATE THE CONVERGENCE OF NUMERICAL COMPUTATION.

K Oranon, K Suluksna - Suranaree Journal of Science & …, 2022 - search.ebscohost.com
The delayed convergence of numerical computation on large sparse system of equations is
caused by the low-frequency modes error and the numerical methods that deal with entire …