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A Backward Group Preserving Scheme for Multi-Dimensional Backward Wave Problems
Grid Applied Technology Division, National Center for High-Performance Computing, Taichung40763, Taiwan
Corresponding author, Tel.: +886-4-24620202x860. E-mail address: d9351002@nchc.org.tw
Department of Civil Engineering, National Taiwan University, Taipei 10617, Taiwan
Computers, Materials & Continua 2010, 19(1), 17-36. https://doi.org/10.3970/cmc.2010.019.017
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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.Keywords
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APA Style
Chang, C., Liu, C. (2010). A backward group preserving scheme for multi-dimensional backward wave problems. Computers, Materials & Continua, 19(1), 17-36. https://doi.org/10.3970/cmc.2010.019.017
Vancouver Style
Chang C, Liu C. A backward group preserving scheme for multi-dimensional backward wave problems. Comput Mater Contin. 2010;19(1):17-36 https://doi.org/10.3970/cmc.2010.019.017
IEEE Style
C. Chang and C. Liu, "A Backward Group Preserving Scheme for Multi-Dimensional Backward Wave Problems," Comput. Mater. Contin., vol. 19, no. 1, pp. 17-36. 2010. https://doi.org/10.3970/cmc.2010.019.017
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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