Matrix Equation Techniques for Certain Evolutionary Partial Differential Equations
Keyword(s):
AbstractWe show that the discrete operator stemming from time-space discretization of evolutionary partial differential equations can be represented in terms of a single Sylvester matrix equation. A novel solution strategy that combines projection techniques with the full exploitation of the entry-wise structure of the involved coefficient matrices is proposed. The resulting scheme is able to efficiently solve problems with a tremendous number of degrees of freedom while maintaining a low storage demand as illustrated in several numerical examples.
2019 ◽
Vol 19
(3)
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pp. 465-481
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2015 ◽
Vol 281
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pp. 876-895
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2016 ◽
Vol 21
(1)
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pp. 65-92
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2020 ◽
Vol 25
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pp. 39-48
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