Overlapping domain decomposition based exponential time differencing methods for semilinear parabolic equations

Xiao Li, Lili Ju, Thi‐Thao‐Phuong Hoang

Type: Article

Publication Date: 2020-06-18

Citations: 6

DOI: https://doi.org/10.1007/s10543-020-00817-0

View Publication

Locations

BIT Numerical Mathematics - View
PolyU Institutional Research Archive (Hong Kong Polytechnic University) - View - PDF
OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) - View

Similar Works

Action	Title	Year	Authors
+	Overlapping Localized Exponential Time Differencing Methods for Diffusion Problems	2017	Thi‐Thao‐Phuong Hoang Lili Ju Zhu Wang
+	Overlapping localized exponential time differencing methods for diffusion problems	2018	Thi‐Thao‐Phuong Hoang Lili Ju Zhu Wang
+ PDF Chat	Localized Exponential Time DifferencingMethod for Shallow Water Equations: Algorithms and Numerical Study	2020	Xucheng Meng
+	A parareal exponential integrator finite element method for semilinear parabolic equations	2024	Jianguo Huang Lili Ju Yuejin Xu
+ PDF Chat	A fast compact exponential time differencing method for semilinear parabolic equations with Neumann boundary conditions	2019	Jianguo Huang Lili Ju Bo Wu
+	Efficient Exponential Integrator Finite Element Method for Semilinear Parabolic Equations	2022	Jianguo Huang Lili Ju Yuejin Xu
+ PDF Chat	Efficient Exponential Integrator Finite Element Method for Semilinear Parabolic Equations	2023	Jianguo Huang Lili Ju Yuejin Xu
+ PDF Chat	A Parareal exponential integrator finite element method for linear parabolic equations	2024	Jianguo Huang Yuejin Xu
+	Domain decomposition based exponential time differencing method for fluid dynamics problems with smooth solutions	2019	Liang Shan Jian Zhang Xiazhen Liu Xiao Hu Wu Yuan
+	A linear second-order maximum bound principle-preserving BDF scheme for the Allen-Cahn equation with a general mobility	2022	Dianming Hou Lili Ju Zhonghua Qiao
+ PDF Chat	Dirichlet-Neumann and Neumann-Neumann Waveform Relaxation Methods for PDEs with Time Delay	2024	Deeksha Tomer Basanti Mandal
+	Fourth-Order Splitting Methods for Time-DependantDifferential Equations	2008	Jürgen Geiser
+ PDF Chat	Exponential integrator Fourier Galerkin methods for semilinear parabolic equations	2024	Jianguo Huang Yuejin Xu
+	Maximum principle preserving exponential time differencing schemes for the nonlocal Allen-Cahn equation	2019	Qiang Du Lili Ju Xiao Li Zhonghua Qiao
+	Stabilized exponential time differencing schemes for the convective Allen-Cahn equation	2022	Yongyong Cai Lili Ju Rihui Lan Jingwei Li
+ PDF Chat	Low regularity integrators for semilinear parabolic equations with maximum bound principles	2023	Cao‐Kha Doan Thi‐Thao‐Phuong Hoang Lili Ju Katharina Schratz
+	A domain decomposition method for stochastic evolution equations	2024	Evelyn Buckwar Ana Djurdjevac Monika Eisenmann
+	Analysis and Applications of the Exponential Time Differencing Schemes and Their Contour Integration Modifications	2005	Qiang Du Wen‐Xiang Zhu
+ PDF Chat	Fourier Spectral High-Order Time-Stepping Method for Numerical Simulation of the Multi-Dimensional Allen–Cahn Equations	2021	Harish Bhatt Janak Joshi Ioannis K. Argyros
+ PDF Chat	Fourier spectral high-order time-stepping method for numerical simulation of the multi-dimensional Allen-Cahn equations	2022	Harish Bhatt Janak Joshi

Works That Cite This (5)

Action	Title	Year	Authors
+ PDF Chat	Low regularity integrators for semilinear parabolic equations with maximum bound principles	2023	Cao‐Kha Doan Thi‐Thao‐Phuong Hoang Lili Ju Katharina Schratz
+ PDF Chat	Efficient Exponential Integrator Finite Element Method for Semilinear Parabolic Equations	2023	Jianguo Huang Lili Ju Yuejin Xu
+	Fully discrete error analysis of first‐order low regularity integrators for the Allen‐Cahn equation	2023	Cao‐Kha Doan Thi‐Thao‐Phuong Hoang Lili Ju
+	A parareal exponential integrator finite element method for semilinear parabolic equations	2024	Jianguo Huang Lili Ju Yuejin Xu
+ PDF Chat	Localized Exponential Time DifferencingMethod for Shallow Water Equations: Algorithms and Numerical Study	2020	Xucheng Meng

Works Cited by This (26)

Action	Title	Year	Authors
+ PDF Chat	Time‐Dependent Problems and Difference Methods	2013	Bertil Gustafsson Heinz‐Otto Kreiss Joseph Oliger
+ PDF Chat	Space-Time Continuous Analysis of Waveform Relaxation for the Heat Equation	1998	Martin J. Gander Andrew M. Stuart
+	Analytical inversion of symmetric tridiagonal matrices	1996	Guangyu Hu R. F. O’Connell
+	Efficient implementation of essentially non-oscillatory shock-capturing schemes, II	1989	Chi‐Wang Shu Stanley Osher
+ PDF Chat	On Krylov Subspace Approximations to the Matrix Exponential Operator	1997	Marlis Hochbruck Christian Lubich
+	SERK2v2: A new second‐order stabilized explicit Runge‐Kutta method for stiff problems	2012	B. Kleefeld J. Martín‐Vaquero
+	Generalized Runge-Kutta Processes for Stable Systems with Large Lipschitz Constants	1967	J. D. Lawson
+	Analysis and Approximation of the Ginzburg–Landau Model of Superconductivity	1992	Qiang Du Max Gunzburger Janet Peterson
+ PDF Chat	Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators	2011	Awad H. Al-Mohy Nicholas J. Higham
+	A waveform relaxation algorithm with overlapping splitting for reaction diffusion equations	1999	Martin J. Gander