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  • 1
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Industrial & engineering chemistry research 32 (1993), S. 604-612 
    ISSN: 1520-5045
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 25 (1979), S. 609-615 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Sparse linear systems in bordered block-triangular form can be efficiently solved by block-triangular splitting, a new technique that provides a drastic reduction in the fill-in (loss of sparsity) that occurs in the direct solution of such systems. This technique is applicable in the iterative solution of the large systems of nonlinear equations that arise in the equation oriented approach to process simulation and design calculations.
    Additional Material: 1 Ill.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 36 (1990), S. 1687-1696 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The potential for effective vectorization of the sequential-modular, simultaneous-modular, and equation-based approaches to process flowsheeting is assessed. The last appears to be the most promising, but the required sparse matrix techniques currently used do not vectorize well. Different approaches to vectorizing the sparse matrix calculation are considered. With a good matrix reordering scheme, the most promising sparse matrix strategy for the vectorization of flowsheeting problems is the frontal method, a technique currently used primarily on finite-element problems.
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 40 (1994), S. 65-72 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: When multicomponent, multistage separation problems are solved on parallel computers by successive linearization methods, the solution of a large sparse linear equation system becomes a computational bottleneck, since other parts of the calculation are more easily parallelized. When the standard problem formulation is used, this system has a block-tridiagonal form. It is shown how this structure can be used in parallelizing the sparse matrix computation. By reformulating the problem so that it has a bordered-block-bidiagonal superstructure, it can be made even more amenable to parallezation. These strategies permit the use of a two-level hierarchy of parallelism that provides substantial improvements in computational performance on parallel machines.
    Additional Material: 10 Ill.
    Type of Medium: Electronic Resource
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  • 5
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 38 (1992), S. 1399-1407 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The potential for using the sequential-modular, simultaneous-modular, and equation-based approaches to process flowsheeting on multiprocessing (parallel processing) computer architectures is assessed. The simultaneous-modular and equation-based problem formulations appear to be the most promising, but the sparse matrix techniques currently used, especially for the latter, do not perform well on parallel machines. We consider two different decomposition schemes for parallelizing the sparse matrix problems that must be solved. These are the bordered-diagonal form and the bordered-block-diagonal form. The latter takes advantage of the inherent block structure of the flowsheeting matrix and represents a promising strategy for solving flowsheeting problems on parallel machines, especially for large problems.
    Additional Material: 4 Ill.
    Type of Medium: Electronic Resource
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