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A Backward Group Preserving Scheme for Multi-Dimensional Backward Wave Problems

Chih-Wen Chang1,2, Chein-Shan Liu3

Grid Applied Technology Division, National Center for High-Performance Computing, Taichung40763, Taiwan
Corresponding author, Tel.: +886-4-24620202x860. E-mail address:
Department of Civil Engineering, National Taiwan University, Taipei 10617, Taiwan

Computers, Materials & Continua 2010, 19(1), 17-36.


The present study shows a backward group preserving scheme (BGPS) to deal with the multi-dimensional backward wave problem (BWP). The BWP is well-known as seriously ill-posed because the solution does not continuously count on the given data. When three numerical experiments are tested, we reveal that the BGPS is applicable to the multi-dimensional BWP. Even with noisy final data, the BGPS is also robust against perturbation. The numerical results are very pivotal in the computations of multi-dimensional BWP.


Cite This Article

C. . Chang and C. . Liu, "A backward group preserving scheme for multi-dimensional backward wave problems," Computers, Materials & Continua, vol. 19, no.1, pp. 17–36, 2010.

cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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