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1
Parallel block methods for solving higher order ordinary differential equations directly
Published 1999“…A new parallel algorithm for solving systems of ODEs using variable step size and order is also developed. …”
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2
Partitioning techniques and their parallelization for stiff system of ordinary differential equations
Published 2007“…Parallelizing the partitioning strategies using Message Passing Interface (MPI) is the most appropriate method to solve large system of equations. …”
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3
High performance simulation for brain tumors growth using parabolic equation on heterogeneous parallel computer systems
Published 2007“…This paper focuses on the implementation of parallel algorithm for the simulation of brain tumours growth using one dimensional parabolic equation, design on a distributed parallel computer system. …”
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4
High performance simulation for brain tumours growth using parabolic equation on heterogeneous parallel computer system
Published 2007“…This paper focuses on the implementation of parallel algorithm for the simulation of brain tumours growth using one dimensional parabolic equation, design on a distributed parallel computer system. …”
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5
Parallel Implementation of Two Level Barotropic Models Applied to the Weather Prediction Problem
Published 2004“…By using finite difference approximation, quasigeostrophic vorticity equations and thermodynamic equations are used to develop forecasting equations for each level. …”
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6
Parallel method using MPI for solving large systems of delay differential equations
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7
Tumor growth prediction using parallel computing: numerical solutions based on multi-dimensional partial differential equation (PDE)
Published 2010“…This study focuses on the implementation of parallel algorithm for the simulation of tumor growth using two dimensional Helmholtz’s wave equation on a distributed parallel computing system. …”
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Parallel block backward differentiation formulas for solving large systems of ordinary differential equations.
Published 2010“…In this paper, parallelism in the solution of Ordinary Differential Equations (ODEs) to increase the computational speed is studied. …”
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9
Parallel block backward differentiation formulas for solving ordinary differential equations.
Published 2008“…Numerical results are given to compare the speedup and efficiency of parallel algorithm and that of sequential algorithm.…”
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10
An Efficient Parallel Quarter-sweep Point Iterative Algorithm for Solving Poisson Equation on SMP Parallel Computer
Published 2000“…A new point iterative algorithm which uses the quarter-sweep approach was shown to be much faster than the full-and half- sweep point iterative algorithms for solving two dimensional Poison equation (Othman el at. 1998». …”
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11
Direct Block Methods for Solving Special Second Order Ordinary Differential Equations and Their Parallel Implementations
Published 2008“…The parallel implementation of the new codes produced better speedup as the number of equations increase. …”
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12
Early detection of breast cancer using wave elliptic equation with high performance computing
Published 2008“…This paper focuses on the implementation of parallel algorithm for the simulation of breast cancer tumor using two dimensional Helmholtz’s wave equation on a distributed parallel computer system (DPCS). …”
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13
Parallel Block Methods for Solving Ordinary Differential Equations
Published 2004“…The new codes were then used for the parallel implementation in solving large systems of first and higher order ODEs. …”
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14
A case study : 2D Vs 3D parallel differential equation toward tumor cell detection on multi-core parallel computing atmosphere
Published 2010“…In order to detect tumour cells, 2D and 3D Partial Differential Equations (PDE) are considered and compared by using Multi-Core parallel computing atmosphere with visualisation, communication and data analysis. …”
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15
Parallel algorithms for numerical simulations of EHD ion-drag micropump on distributed parallel computing systems
Published 2014“…A data parallel algorithm (DPA-EHD) is designed and implemented for the EHD equations. …”
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16
Parallel R-point implicit block method for solving higher order ordinary differential equations directly
Published 2004“…The accuracy of the parallel block and the conventional 1-point methods are comparable particularly when finer step sizes are used.…”
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17
The visualization of three dimensional brain tumors' growth on distributed parallel computer systems
Published 2009“…The growth of the brain tumor through angiogenic process is described as parabolic model in partial differential equations. The discretization of the three-dimensional parabolic equations for the brain tumor’s growth mathematical model using a numerical finite-difference method will be implemented from the previous study of two dimensional model and thus a parallelization of algorithm simulation to computational resources based on high-performance computing systems will be used to generate the growth of the brain tumor in three dimensional. …”
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18
Parallel Diagonally Implicit Runge-Kutta Methods For Solving Ordinary Differential Equations
Published 2009“…Three large scales of stiff ODEs are used to measure the parallel performances of the new embedded methods. …”
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19
Paralell R-point implicit block method for solving higher order ordinary differential equations directly
Published 2004“…The accuracy of the parallel block and the conventional 1-point methods are comparable particularly when finer step sizes are used.…”
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