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http://hdl.handle.net/10397/93865
Title: | A high-order exponential integrator for nonlinear parabolic equations with nonsmooth initial data | Authors: | Li, B Ma, S |
Issue Date: | Apr-2021 | Source: | Journal of scientific computing, Apr. 2021, v. 87, no. 1, 23 | Abstract: | A variable stepsize exponential multistep integrator, with contour integral approximation of the operator-valued exponential functions, is proposed for solving semilinear parabolic equations with nonsmooth initial data. By this approach, the exponential k-step method would have kth-order convergence in approximating a mild solution, possibly nonsmooth at the initial time. In consistency with the theoretical analysis, a numerical example shows that the method can achieve high-order convergence in the maximum norm for semilinear parabolic equations with discontinuous initial data. | Keywords: | Discontinuous initial data Exponential integrator High-order accuracy Nonlinear parabolic equation Nonsmooth initial data Variable stepsize |
Publisher: | Springer | Journal: | Journal of scientific computing | ISSN: | 0885-7474 | DOI: | 10.1007/s10915-021-01438-7 | Rights: | © The Author(s), under exclusive licence to Springer Science+Business Media, LLC part of Springer Nature 2021 This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use (https://www.springernature.com/gp/open-research/policies/accepted-manuscript-terms), but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s10915-021-01438-7 |
Appears in Collections: | Journal/Magazine Article |
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Li_High-Order_Exponential_Integrator.pdf | Pre-Published version | 790.84 kB | Adobe PDF | View/Open |
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