Journal Article10.1016/S0096-3003(01)00174-6
Parallel ADI solver based on processor scheduling
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TL;DR: It is shown by computational experiments and by the theoretical model that the proposed algorithm considerably reduces the communication cost and processor idle time over the basic algorithm for the range of the number of processors (subdomains) considered and thenumber of grid nodes per subdomain.
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About: This article is published in Applied Mathematics and Computation. The article was published on 25 Nov 2002. The article focuses on the topics: Automatic parallelization & Parallel algorithm.
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Citations
Recent improvements in efficiency, accuracy, and convergence for implicit approximate factorization algorithms. [computational fluid dynamics
T. H. Pulliam,J. L. Steger +1 more
- 01 Jan 1985
TL;DR: It is found that using established and simple procedures, a computer code can be maintained which is competitive with specialized codes.
139
Parallel Dichotomy Algorithm for solving tridiagonal system of linear equations with multiple right-hand sides
Andrew V. Terekhov
- 01 Aug 2010
TL;DR: A parallel algorithm for solving a series of matrix equations with a constant tridiagonal matrix and different right-hand sides and an original algorithm for calculating share components of the solution vector is proposed and studied.
26
A highly scalable parallel algorithm for solving Toeplitz tridiagonal systems of linear equations
TL;DR: A modification of the "Dichotomy Algorithm" (Terekhov, 2010) is proposed, aimed at parallel realization of a broad class of numerical methods including the inversion of Toeplitz and quasi-Toeplitzer tridiagonal matrices.
Comparing the Effect of Radiative Transfer Schemes on Convection Simulations
TL;DR: In this article, the authors examine the effect of different radiative transfer schemes on the properties of 3D simulations of near-surface stellar convection in the superadiabatic layer, where energy transport transitions from fully convective to fully radiative.
Comparing the effect of radiative transfer schemes on convection simulations
TL;DR: In this article, the authors examine the effect of different radiative transfer schemes on the properties of near-surface stellar convection in the superadiabatic layer, where energy transport transitions from fully convective to fully radiative.
References
A diagonal form of an implicit approximate-factorization algorithm
Thomas H. Pulliam,D.S Chaussee +1 more
TL;DR: The modification transforms the coupled system of equations into an uncoupled diagonal form that requires less computational work and has an important effect on the application of implicit finite-difference schemes to vector processors.
1.2K
An implicit finite-difference algorithm for hyperbolic systems in conservation-law form
TL;DR: In this article, an implicit finite-difference scheme is developed for the efficient numerical solution of nonlinear hyperbolic systems in conservation-law form, which is second-order time-accurate, noniterative, and in a spatially factored form.
1K
•Book
Designing and Building Parallel Programs: Concepts and Tools for Parallel Software Engineering
Ian Foster
- 01 Jan 1995
TL;DR: This book provides a comprehensive introduction to parallel algorithm design, performance analysis, and program construction and describes the tools needed to write parallel programs and provides numerous examples.
784
Parallel Computer Architecture
Silvia M. Müller,Per Stenström,Mateo Valero,Stamatis Vassiliadis +3 more
- 29 Aug 2000
TL;DR: Computer architecture is a truly fascinating field in which improvements in the basic echnology and innovations how to make best use of he underlying technology has yielded a performance growth exceeding a million times over the past 50 years.