A new parallel algorithm for solving parabolic equations
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Publication:1712234
DOI10.1186/s13662-018-1617-8zbMath1446.65081OpenAlexW2800932056WikidataQ129844381 ScholiaQ129844381MaRDI QIDQ1712234
Publication date: 21 January 2019
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-018-1617-8
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Parallel numerical computation (65Y05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)
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Cites Work
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- The efficient S-DDM scheme and its analysis for solving parabolic equations
- Fast difference schemes for solving high-dimensional time-fractional subdiffusion equations
- Unconditional stability of parallel difference schemes with second order accuracy for parabolic equation
- A modified upwind difference domain decomposition method for convection-diffusion equations
- A four-order alternating segment Crank-Nicolson scheme for the dispersive equation
- A new explicit method for the diffusion-convection equation
- Alternating group explicit method for the diffusion equation
- On alternating segment Crank-Nicolson scheme
- The alternating segment explicit-implicit scheme for the dispersive equation
- Unconditional stability of alternating difference schemes with variable time steplengthes for dispersive equation
- A class of alternating segment Crank-Nicolson methods for solving convection-diffusion equa\-tions
- Unconditional stability of alternating difference schemes with intrinsic parallelism for two-dimensional fourth-order diffusion equation
- An alternating explicit-implicit domain decomposition method for the parallel solution of parabolic equations
- Unconditional stability of alternating difference schemes with intrinsic parallelism for the fourth-order parabolic equation
- A domain decomposition discretization of parabolic problems
- Domain decomposition multigrid methods for nonlinear reaction-diffusion problems
- An analysis of overlapping domain decomposition methods for singularly perturbed reaction-diffusion problems
- Domain decomposition for a parabolic convection-diffusion problem
- An unconditionally stable alternating segment difference scheme of eight points for the dispersive equation
- Group explicit methods for parabolic equations
- A class of alternating block crank-nicolson method
- Alternating group explicit method for the dispersive equation
- Efficient Parallel Algorithms for Parabolic Problems
- Stabilized Explicit-Implicit Domain Decomposition Methods for the Numerical Solution of Parabolic Equations
- Unconditional stability of alternating difference schemes with intrinsic parallelism for two-dimensional parabolic systems
- A Time Second-Order Mass-Conserved Implicit-Explicit Domain Decomposition Scheme for Solving the Diffusion Equations
- An Alternating Direction Method for Operator Equations
- A highly accurate alternating 6-point group method for the dispersive equation
- Unconditional Stability of Corrected Explicit‐Implicit Domain Decomposition Algorithms for Parallel Approximation of Heat Equations
