On a new class of BDF and IMEX schemes for parabolic type equations
When applying the classical multistep schemes for solving differential equations, one often
faces the dilemma that smaller time steps are needed with higher-order schemes, making it …
faces the dilemma that smaller time steps are needed with higher-order schemes, making it …
A Unified Norm Error Analysis of SAV-BDF Schemes for the Incompressible Navier–Stokes Equations
B Ji, H Liao - Journal of Scientific Computing, 2024 - Springer
This article is concerned with the L 2 norm error analysis of high-order BDF methods for the
incompressible Navier–Stokes equation subjected to no-slip boundary conditions. To …
incompressible Navier–Stokes equation subjected to no-slip boundary conditions. To …
A note on the stability of two families of two-step schemes
X Wang, Y Yu - arXiv preprint arXiv:2406.18398, 2024 - arxiv.org
We investigate the stability of two families of three-level two-step schemes that extend the
classical second order BDF (BDF2) and second order Adams-Moulton (AM2) schemes. For …
classical second order BDF (BDF2) and second order Adams-Moulton (AM2) schemes. For …
On a class of higher-order length preserving and energy decreasing IMEX schemes for the Landau-Lifshitz equation
X Li, N Zheng, J Shen - arXiv preprint arXiv:2404.08902, 2024 - arxiv.org
We construct new higher-order implicit-explicit (IMEX) schemes using the generalized scalar
auxiliary variable (GSAV) approach for the Landau-Lifshitz equation. These schemes are …
auxiliary variable (GSAV) approach for the Landau-Lifshitz equation. These schemes are …
Efficient energy-stable parametric finite element methods for surface diffusion flow and applications in solid-state dewetting
M Li, Y Guo, J Bi - arXiv preprint arXiv:2407.09418, 2024 - arxiv.org
Currently existing energy-stable parametric finite element methods for surface diffusion flow
and other flows are usually limited to first-order accuracy in time. Designing a high-order …
and other flows are usually limited to first-order accuracy in time. Designing a high-order …
[PDF][PDF] Efficient energy-stable parametric finite element method for surface diffusion flow and applications in solid-state dewetting
M Lia, Y Guoa, J Bia - researchgate.net
Currently existing energy-stable parametric finite element methods for surface diffusion flow
and other flows are usually limited to first-order accuracy in time. Designing a high-order …
and other flows are usually limited to first-order accuracy in time. Designing a high-order …
[PDF][PDF] A Bibliography of Publications in SIAM Journal on Numerical Analysis: 2010–2019
NHF Beebe - 2024 - ctan.math.utah.edu
A Bibliography of Publications in SIAM Journal on Numerical Analysis: 2010–2019 Page 1
A Bibliography of Publications in SIAM Journal on Numerical Analysis: 2010–2019 Nelson …
A Bibliography of Publications in SIAM Journal on Numerical Analysis: 2010–2019 Nelson …