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Overlapping Schwarz waveform relaxation is a long name for an algorithm which simply solves evolution problems in parallel. It got its name as follows: the distribution of the computation is achieved by partitioning the spatial domain into overlapping subdomains, like in the classical Schwarz method. However on subdomains, time dependent problems are solved… (More)

- Daoud S. Daoud, Abdul-Qayyum M. Khaliq, Bruce A. Wade
- PDPTA
- 2000

- Daoud S. Daoud
- Applied Mathematics and Computation
- 2005

- Daoud S. Daoud, D. S. Subasi
- International Conference on Computational Science
- 2002

- Daoud S. Daoud
- 2005

The practical aspect in the parareal algorithm that it consist of using two solvers over different time stepping, the coarse and fine solvers to produce a rapid convergent iterative method for multi processors computations. The coarse solver solve the equation sequentially on the coarse time step while the fine solver use the information from the coarse… (More)

- Daoud S. Daoud, D. S. Subasi
- Applied Mathematics and Computation
- 2005

One of the global approaches for solving the two dimensional inverse parabolic problem is the predictor corrector which takes place for evaluating the pair (u,p) and adjusting the evaluation for the desired accuracy. For general class of higher dimensional parabolic problems the ADI or the FS methods have been considered with an advantage of reducing or… (More)

- Daoud S. Daoud
- Int. J. Comput. Math.
- 1999

- Daoud S. Daoud, Nil Gurbuz
- World Congress on Engineering
- 2007

In this article we present an efficient time lagging interface prediction method with implicit correction (TLIC) for the solution of multi dimensional parabolic problem defined over non overlapping subdomains. The time lagging method have been implemented with different integral multiples spatial spacing displacements from the interface line(s). We… (More)

- Daoud S. Daoud, Nil Gurbuz
- Applied Mathematics and Computation
- 2007

In domain decomposition for parabolic partial differential equations (PDE) several approaches have been developed— breaking the domain into multiple subdomains of either overlapping or non-overlapping type, or using algebraic type splittings— cf. [CM94] for an overview. An important aspect is how to present the boundary conditions across interfaces or… (More)