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Volume 38, Issue 3
Inverse Lax-Wendroff Boundary Treatment: A Survey

Chi-Wang Shu

DOI: 10.4208/cmr.2022-0015

Commun. Math. Res., 38 (2022), pp. 333-350.

Published online: 2022-08

[An open-access article; the PDF is free to any online user.]

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  • Abstract

The inverse Lax-Wendroff (ILW) procedure is a numerical boundary treatment technique, which allows finite difference schemes and other schemes to achieve stability and high order accuracy when using cartesian meshes to solve boundary value problems defined on complex computational domain. In this short survey we summarize the main ingredients of the ILW procedure, discuss its applicability and stability properties, and provide possible directions of its future development.

  • Keywords

Inverse Lax-Wendroff procedure, boundary treatment, high order accuracy, stability, complex geometry.

  • AMS Subject Headings

65M06, 65M12

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-38-333, author = {Shu , Chi-Wang}, title = {Inverse Lax-Wendroff Boundary Treatment: A Survey}, journal = {Communications in Mathematical Research }, year = {2022}, volume = {38}, number = {3}, pages = {333--350}, abstract = {

The inverse Lax-Wendroff (ILW) procedure is a numerical boundary treatment technique, which allows finite difference schemes and other schemes to achieve stability and high order accuracy when using cartesian meshes to solve boundary value problems defined on complex computational domain. In this short survey we summarize the main ingredients of the ILW procedure, discuss its applicability and stability properties, and provide possible directions of its future development.

}, issn = {2707-8523}, doi = {https://doi.org/10.4208/cmr.2022-0015}, url = {http://global-sci.org/intro/article_detail/cmr/20960.html} }
TY - JOUR T1 - Inverse Lax-Wendroff Boundary Treatment: A Survey AU - Shu , Chi-Wang JO - Communications in Mathematical Research VL - 3 SP - 333 EP - 350 PY - 2022 DA - 2022/08 SN - 38 DO - http://doi.org/10.4208/cmr.2022-0015 UR - https://global-sci.org/intro/article_detail/cmr/20960.html KW - Inverse Lax-Wendroff procedure, boundary treatment, high order accuracy, stability, complex geometry. AB -

The inverse Lax-Wendroff (ILW) procedure is a numerical boundary treatment technique, which allows finite difference schemes and other schemes to achieve stability and high order accuracy when using cartesian meshes to solve boundary value problems defined on complex computational domain. In this short survey we summarize the main ingredients of the ILW procedure, discuss its applicability and stability properties, and provide possible directions of its future development.

Shu , Chi-Wang. (2022). Inverse Lax-Wendroff Boundary Treatment: A Survey. Communications in Mathematical Research . 38 (3). 333-350. doi:10.4208/cmr.2022-0015
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