Found 50 Documents (Results 1–50)
On the convergence of linear and nonlinear parareal methods for the Cahn-Hilliard equation. (English) Zbl 1537.65099
Parallel-in-time integration of the shallow water equations on the rotating sphere using parareal and MGRIT. (English) Zbl 07807995
Analysis of the parareal algorithm for linear parametric differential equations. (English) Zbl 1524.65263
Efficient multigrid reduction-in-time for method-of-lines discretizations of linear advection. (English) Zbl 1515.65233
A parareal algorithm for a highly oscillating Vlasov-Poisson system with reduced models for the coarse solving. (English) Zbl 1524.65341
Analysis of a multi-term variable-order time-fractional diffusion equation and its Galerkin finite element approximation. (English) Zbl 1513.35096
Solving 2D parabolic equations by using time parareal coupling with meshless collocation RBFs methods. (English) Zbl 1464.74421
Analysis of two new parareal algorithms based on the Dirichlet-Neumann/Neumann-Neumann waveform relaxation method for the heat equation. (English) Zbl 1471.65130
Parareal computation of stochastic differential equations with time-scale separation: a numerical convergence study. (English) Zbl 07704913
MSC:
65Nxx
Derivation and analysis of parallel-in-time neural ordinary differential equations. (English) Zbl 1467.65122
Analysis of the parareal method with spectral deferred correction method for the Stokes/Darcy equations. (English) Zbl 1472.65109
A diagonalization-based parareal algorithm for dissipative and wave propagation problems. (English) Zbl 1475.65098
Reviewer: Zhiming Chen (Beijing)
A parareal finite volume method for variable-order time-fractional diffusion equations. (English) Zbl 1452.65191
Domain decomposition methods coupled with parareal for the transient heat equation in 1 and 2 spatial dimensions. (English) Zbl 1538.65327
Convergence analysis of a parareal-in-time algorithm for the incompressible non-isothermal flows. (English) Zbl 1499.65514
Parareal algorithms applied to stochastic differential equations with conserved quantities. (English) Zbl 1438.60096
A preconditioned fast parareal finite difference method for space-time fractional partial differential equation. (English) Zbl 1415.65190
Influence of the phase accuracy of the coarse solver calculation on the convergence of the parareal method iteration for hyperbolic pdes. (English) Zbl 07704540
MSC:
65Nxx
Convergence of parareal algorithms for PDEs with fractional Laplacian and a non-constant coefficient. (English) Zbl 1468.65096
A numerical study of a semi-Lagrangian Parareal method applied to the viscous Burgers’ equation. (English) Zbl 1398.65375
Time-parallel simulation of the decay of homogeneous turbulence using Parareal with spatial coarsening. (English) Zbl 1396.76044
An efficient parareal algorithm for a class of time-dependent problems with fractional Laplacian. (English) Zbl 1411.65144
Three rapidly convergent parareal solvers with application to time-dependent PDEs with fractional Laplacian. (English) Zbl 1369.65113
Towards essential improvement for the parareal-TR and parareal-Gauss4 algorithms. (English) Zbl 1346.65037
Convergence analysis of the parareal-Euler algorithm for systems of ODEs with complex eigenvalues. (English) Zbl 1339.65095
A stencil-based implementation of parareal in the C++ domain specific embedded language STELLA. (English) Zbl 1411.65173
Parareal in time 3D numerical solver for the LWR benchmark neutron diffusion transient model. (English) Zbl 1351.82069
On the use of reduced basis methods to accelerate and stabilize the parareal method. (English) Zbl 1315.65079
Quarteroni, Alfio (ed.) et al., Reduced order methods for modeling and computational reduction. Cham: Springer (ISBN 978-3-319-02089-1/hbk; 978-3-319-02090-7/ebook). MS&A. Modeling, Simulation and Applications 9, 187-214 (2014).
Reviewer: Christian Pötzsche (Klagenfurt)
Analysis of a new parareal algorithm based on waveform relaxation method for time-periodic problems. (English) Zbl 1308.65117
Reviewer: Kai Diethelm (Braunschweig)
An asymptotic parallel-in-time method for highly oscillatory PDEs. (English) Zbl 1321.65131
Reviewer: Nina Shokina (Freiburg)
Inexact and truncated parareal-in-time Krylov subspace methods for parabolic optimal control problems. (English) Zbl 1288.65093
Toward an efficient parallel in time method for partial differential equations. (English) Zbl 1248.65106
Parareal operator splitting techniques for multi-scale reaction waves: numerical analysis and strategies. (English) Zbl 1269.65089
The reduced basis technique as a coarse solver for parareal in time simulations. (English) Zbl 1240.65291
Analysis of the parareal time-parallel time-integration method. (English) Zbl 1141.65064
Reviewer: Kai Diethelm (Braunschweig)
The parareal in time iterative solver: a further direction to parallel implementation. (English) Zbl 1067.65102
Kornhuber, Ralf (ed.) et al., Domain decomposition methods in science and engineering. Selected papers of the 15th international conference on domain decomposition, Berlin, Germany, July 21–25, 2003. Berlin: Springer (ISBN 3-540-22523-4/pbk). Lecture Notes in Computational Science and Engineering 40, 441-448 (2005).
Filter Results by …
Document Type
- Journal Articles (48)
- Collection Articles (2)
all
top 5
Author
- Wu, Shulin (10)
- Jiang, Yaolin (4)
- Maday, Yvon (3)
- Song, Bo (3)
- Fu, Hongfei (2)
- Gander, Martin Jakob (2)
- Haut, Terry S. (2)
- Hou, Yanren (2)
- Liu, Huan (2)
- Ruprecht, Daniel (2)
- Salomon, Julien (2)
- Wang, Hong (2)
- Wingate, Beth A. (2)
- Xue, Dandan (2)
- Zhou, Tao (2)
- Arteaga, Andrea (1)
- Baudron, Anne-Marie (1)
- Bodart, Julien (1)
- Chen, Feng (1)
- Cheng, Aijie (1)
- Cortes Garcia, Idoia (1)
- da Silva Peixoto, Pedro (1)
- Dabaghi, Jad (1)
- De Sterck, Hans (1)
- Descombes, Stéphane (1)
- Du, Xiuhong (1)
- Duan, Yong (1)
- Duarte, Max (1)
- Emmett, Matthew (1)
- Engblom, Stefan (1)
- Falgout, Robert D. (1)
- Foltyn, Ladislav (1)
- Garai, Gobinda (1)
- Gbikpi-Benissan, Guillaume (1)
- Gratton, Serge (1)
- Grigori, Laura (1)
- He, Liping (1)
- Hesthaven, Jan S. (1)
- Hirstoaga, Sever A. (1)
- Huang, Chengming (1)
- Iizuka, Mikio (1)
- Ji, Lihai (1)
- Krause, Rolf H. (1)
- Krzysik, Oliver A. (1)
- Kulchytska-Ruchka, Iryna (1)
- Lautard, Jean-Jacques (1)
- Legoll, Frédéric (1)
- Lelièvre, Tony (1)
- Li, Jun (1)
- Li, Yi (1)
- Liu, Bisen (1)
- Liu, Weifan (1)
- Liu, Wenjia (1)
- Lorin, Emmanuel (1)
- Lukáš, Dalibor (1)
- Lunet, Thibaut (1)
- Magoulès, Frédéric (1)
- Mandal, Bankim C. (1)
- Margenberg, Nils (1)
- Massot, Marc (1)
- Miao, Zhen (1)
- Minion, Michael L. (1)
- Misilov, Vladimir E. (1)
- Myerscough, Keith W. (1)
- Nurlanuly, Y. (1)
- Ono, Kenji (1)
- Peterek, Ivo (1)
- Riahi, Mohamed Kamel (1)
- Rosemeier, Juliane (1)
- Rostami, Minghao W. (1)
- Samaey, Giovanni (1)
- Sarkis, Marcus V. (1)
- Schaerer, Christian E. (1)
- Schöps, Sebastian (1)
- Schreiber, Martin (1)
- Schroder, Jacob B. (1)
- Steinstraesser, Joao Guilherme Caldas (1)
- Sultanov, Murat Abdukadyrovich (1)
- Szyld, Daniel B. (1)
- Turinici, Gabriel (1)
- Vandewalle, Stefan G. (1)
- Vasseur, Xavier (1)
- Wang, Xiaolong (1)
- Yang, Yunbo (1)
- Zeng, Yan (1)
- Zhang, Liying (1)
- Zhang, Ren-Hao (1)
- Zheng, Xiangcheng (1)
- Zhou, Weien (1)
- Zhu, Xueyu (1)
- Zoia, Andrea (1)
- Zou, Qinmeng (1)
all
top 5
Serial
- J. Comput. Phys. (5)
- Comput. Vis. Sci. (5)
- J. Sci. Comput. (4)
- SIAM J. Sci. Comput. (4)
- Appl. Math. Comput. (3)
- J. Comput. Math. (3)
- Numer. Algorithms (3)
- Comput. Math. Appl. (2)
- J. Comput. Appl. Math. (2)
- Int. J. Comput. Math. (2)
- IMA J. Numer. Anal. (1)
- Math. Methods Appl. Sci. (1)
- SIAM J. Numer. Anal. (1)
- Appl. Math., Praha (1)
- ETNA, Electron. Trans. Numer. Anal. (1)
- Ann. Math. Artif. Intell. (1)
- Eng. Anal. Bound. Elem. (1)
- Commun. Nonlinear Sci. Numer. Simul. (1)
- Multiscale Model. Simul. (1)
- ESAIM, Math. Model. Numer. Anal. (1)
- Commun. Appl. Math. Comput. Sci. (1)
- Math. Model. Nat. Phenom. (1)
- Dal’nevost. Mat. Zh. (1)
- East Asian J. Appl. Math. (1)
- Mathematics (1)
all
top 3
Software
- pyParareal (6)
- Parareal (5)
- PARAEXP (4)
- GitHub (2)
- MGRIT (2)
- NewtonLib (2)
- RODAS (2)
- Alinea (1)
- CUDA (1)
- FODE (1)
- FreeFem++ (1)
- GASCOIGNE (1)
- JACK (1)
- JaceP2P (1)
- JaceV (1)
- LibPFASST (1)
- MPI (1)
- Maple (1)
- Matlab (1)
- Matplotlib (1)
- NumPy (1)
- PFASST (1)
- ParaOpt (1)
- PseudoSpectralPython (1)
- STELLA (1)
- SWEET (1)
- SciPy (1)
- UMFPACK (1)
- Vador (1)
- XBraid-convergence-est (1)
- chammp (1)
- ma2dfc (1)
- torchdiffeq (1)
