Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations

By Hong-lin Liao, Zhi‐zhong Sun. 2010

197 citations recorded by the source corpus.

Subfields: Computational Mechanics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/4052b768277791a668acc2b4553054535e7a51d6

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In Computational Mechanics

1. Khaled Omrani

In Numerical Analysis

1. Khaled Omrani
2. Ahlem Ghiloufi

Citations in the corpus

• A fast linearized finite difference method for the nonlinear multi-term time-fractional wave equation (2019, unknown): “Referring to [11, 31], we know that ‖v‖ ≤ (xR − xL)/ √ 6|v|1, then ‖v‖H1 ≤ √ 1 + (xR − xL)(2) 6 |v|1.”
• New conservative difference schemes with fourth‐order accuracy for some model equation for nonlinear dispersive waves (2018, background): “5 Convergence, stability, and uniqueness For the discrete space, a fourth-order compact difference scheme [40, 41] at all grid points xj, j = 1, · · · , J , can be written as:”