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Volumn 22, Issue 3, 1998, Pages 333-341

Frontal solvers for process engineering: Local row ordering strategies

Author keywords

Chemical process simulation; Column degree heuristic; Frontal method

Indexed keywords

ALGORITHMS; CHEMICAL ENGINEERING; COMPUTER SIMULATION; GRAPH THEORY; HEURISTIC METHODS; MATRIX ALGEBRA; OPTIMIZATION; PARALLEL PROCESSING SYSTEMS; PROBLEM SOLVING; SUPERCOMPUTERS; VECTORS;

EID: 0031706805     PISSN: 00981354     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0098-1354(97)00238-X     Document Type: Article
Times cited : (4)

References (29)
  • 1
    • 0030241209 scopus 로고    scopus 로고
    • Reliability of iterative linear solvers in chemical process simulation
    • Cofer, H. N. and Stadtherr, M. A. (1996) Reliability of iterative linear solvers in chemical process simulation. Comput. Chem. Engng. 20, 1123-1132.
    • (1996) Comput. Chem. Engng. , vol.20 , pp. 1123-1132
    • Cofer, H.N.1    Stadtherr, M.A.2
  • 2
    • 0014612601 scopus 로고
    • Reducing the bandwidth of sparse symmetric matrices
    • Association for Computing Machinery, New York
    • Cuthill, E. and J. McKee, Reducing the bandwidth of sparse symmetric matrices. In Proc. ACM National Conference, pp. 157-172. Association for Computing Machinery, New York (1969).
    • (1969) Proc. ACM National Conference , pp. 157-172
    • Cuthill, E.1    McKee, J.2
  • 4
    • 0031541111 scopus 로고    scopus 로고
    • An unsymmetric-pattern multifrontal method for sparse LU factorization
    • Davis, T. A. and Duff, I. S. (1997) An unsymmetric-pattern multifrontal method for sparse LU factorization. SIAM J. Matrix Anal. Appl. 18, 140-158.
    • (1997) SIAM J. Matrix Anal. Appl. , vol.18 , pp. 140-158
    • Davis, T.A.1    Duff, I.S.2
  • 5
    • 0039713479 scopus 로고
    • A comparison of sparsity orderings for obtaining a pivotal sequence in Gaussian elimination
    • Duff, I. S. and Reid, J. K. (1974) A comparison of sparsity orderings for obtaining a pivotal sequence in Gaussian elimination. Int. Inst. Math. Applic. 14, 281-291.
    • (1974) Int. Inst. Math. Applic. , vol.14 , pp. 281-291
    • Duff, I.S.1    Reid, J.K.2
  • 6
    • 0020822138 scopus 로고
    • The multifrontal solution of indefinite sparse symmetric linear equations
    • Duff, I. S. and Reid, J. K. (1983) The multifrontal solution of indefinite sparse symmetric linear equations. ACM Trans. Math. Softw. 9, 302-325.
    • (1983) ACM Trans. Math. Softw. , vol.9 , pp. 302-325
    • Duff, I.S.1    Reid, J.K.2
  • 7
    • 0024766306 scopus 로고
    • The use of profile reduction algorithms with a frontal code
    • Duff, I. S., Reid, J. K. and Scott, J. A. (1989) The use of profile reduction algorithms with a frontal code. Int. J. Num. Meth. Eng. 28, 2555-2568.
    • (1989) Int. J. Num. Meth. Eng. , vol.28 , pp. 2555-2568
    • Duff, I.S.1    Reid, J.K.2    Scott, J.A.3
  • 8
    • 0000597864 scopus 로고
    • Algorithms and data structures for sparse symmetric Gaussian elimination
    • Eisenstat, S. C., Schultz, M. H. and Sherman, A. H. (1981) Algorithms and data structures for sparse symmetric Gaussian elimination. SIAM J. Sci. Stat. Comput. 2, 225-237.
    • (1981) SIAM J. Sci. Stat. Comput. , vol.2 , pp. 225-237
    • Eisenstat, S.C.1    Schultz, M.H.2    Sherman, A.H.3
  • 9
    • 0018311887 scopus 로고
    • A comparison of three resquencing algorithms for the reduction of matrix profile and wavefront
    • Everstine, G. C. (1979) A comparison of three resquencing algorithms for the reduction of matrix profile and wavefront. Int. J. Num. Meth. Eng. 14, 837-853.
    • (1979) Int. J. Num. Meth. Eng. , vol.14 , pp. 837-853
    • Everstine, G.C.1
  • 10
    • 0019054138 scopus 로고
    • A fast implementation of the minimum degree algorithm using quotient graphs
    • George, A. and Liu, J. W. H. (1980) A fast implementation of the minimum degree algorithm using quotient graphs . ACM Trans. Math. Softw. 6, 337-358.
    • (1980) ACM Trans. Math. Softw. , vol.6 , pp. 337-358
    • George, A.1    Liu, J.W.H.2
  • 11
    • 0009234992 scopus 로고
    • A minimal storage implementation of the minimum degree algorithm
    • George, A. and Liu, J. W. H. (1980) A minimal storage implementation of the minimum degree algorithm. SIAM J. Numer. Anal. 17, 282-299.
    • (1980) SIAM J. Numer. Anal. , vol.17 , pp. 282-299
    • George, A.1    Liu, J.W.H.2
  • 12
    • 0024630993 scopus 로고
    • The evolution of the minimum degree ordering algorithm
    • George, A. and Liu, J. W. H. (1989) The evolution of the minimum degree ordering algorithm. SIAM Review 31, 1-19.
    • (1989) SIAM Review , vol.31 , pp. 1-19
    • George, A.1    Liu, J.W.H.2
  • 13
    • 0016939622 scopus 로고
    • An algorithm for reducing the bandwidth and profile of a sparse matrix
    • Gibbs, N. E., Poole, W. G. and Stockmeyer, P. K. (1976) An algorithm for reducing the bandwidth and profile of a sparse matrix. SIAM J. Numer. Anal. 13, 236-250.
    • (1976) SIAM J. Numer. Anal. , vol.13 , pp. 236-250
    • Gibbs, N.E.1    Poole, W.G.2    Stockmeyer, P.K.3
  • 16
    • 0016881171 scopus 로고
    • Frontal solution program for unsymmetric matrices
    • Hood, P. (1976) Frontal solution program for unsymmetric matrices. Int. J. Numer. Meth. Engng. 10, 379
    • (1976) Int. J. Numer. Meth. Engng. , vol.10 , pp. 379
    • Hood, P.1
  • 17
    • 84984529908 scopus 로고
    • A frontal solution program for finite element analysis
    • Irons, B. M. (1970) A frontal solution program for finite element analysis. Int. J. Numer. Meth. Engng. 2, 5
    • (1970) Int. J. Numer. Meth. Engng. , vol.2 , pp. 5
    • Irons, B.M.1
  • 18
    • 0022077450 scopus 로고
    • Modification of the minimum degree algorithm by multiple elimination
    • Liu, J. W. H. (1985) Modification of the minimum degree algorithm by multiple elimination. ACM Trans. Math. Softw. 11, 141-153.
    • (1985) ACM Trans. Math. Softw. , vol.11 , pp. 141-153
    • Liu, J.W.H.1
  • 19
    • 0031124874 scopus 로고    scopus 로고
    • A parallel frontal solver for large scale process simulation and optimization
    • Mallya, J. U., Zitney, S. E., Choudhary, S. and Stadtherr, M. A. (1997) A parallel frontal solver for large scale process simulation and optimization. AIChE J. 43, 1032-1040.
    • (1997) AIChE J. , vol.43 , pp. 1032-1040
    • Mallya, J.U.1    Zitney, S.E.2    Choudhary, S.3    Stadtherr, M.A.4
  • 20
    • 0002892530 scopus 로고
    • A graph-theoretic study of the numerical solution of sparse positive definite systems of linear equations
    • Edited by R. C. Read, Academic Press, New York
    • Rose, D. J., A graph-theoretic study of the numerical solution of sparse positive definite systems of linear equations. In Graph Theory and Computing (Edited by R. C. Read), pp. 183-217. Academic Press, New York (1973).
    • (1973) Graph Theory and Computing , pp. 183-217
    • Rose, D.J.1
  • 21
    • 0022661211 scopus 로고
    • An algorithm for profile and wavefront reduction of sparse matrices
    • Sloan, S. W. (1986) An algorithm for profile and wavefront reduction of sparse matrices. Int. J. Num. Meth. Eng. 23, 239-251.
    • (1986) Int. J. Num. Meth. Eng. , vol.23 , pp. 239-251
    • Sloan, S.W.1
  • 22
    • 0022286929 scopus 로고
    • Process flowsheeting on supercomputers
    • Stadtherr, M. A. and Vegeais, J. A. (1985) Process flowsheeting on supercomputers. IChemE Symp. Ser. 92, 67-77.
    • (1985) IChemE Symp. Ser. , vol.92 , pp. 67-77
    • Stadtherr, M.A.1    Vegeais, J.A.2
  • 23
    • 0021212676 scopus 로고
    • Sparse matrix methods for equation-based chemical process flowsheeting: I. Reordering phase
    • Stadtherr, M. A. and Wood, E. S. (1984) Sparse matrix methods for equation-based chemical process flowsheeting: I. Reordering phase. Comput. Chem. Engng. 8, 19-23.
    • (1984) Comput. Chem. Engng. , vol.8 , pp. 19-23
    • Stadtherr, M.A.1    Wood, E.S.2
  • 24
    • 84937995839 scopus 로고
    • Direct solutions of sparse network equations by optimally ordered triangular factorization
    • Tinney, W. F. and Walker, J. W. (1967) Direct solutions of sparse network equations by optimally ordered triangular factorization. Proc. of the IEEE 55, 1801-1809.
    • (1967) Proc. of the IEEE , vol.55 , pp. 1801-1809
    • Tinney, W.F.1    Walker, J.W.2
  • 25
    • 0025514528 scopus 로고
    • Vector processing strategies for chemical process flowsheeting
    • Vegeais, J. A. and Stadtherr, M. A. (1990) Vector processing strategies for chemical process flowsheeting. AIChE J. 36, 1687-1696.
    • (1990) AIChE J. , vol.36 , pp. 1687-1696
    • Vegeais, J.A.1    Stadtherr, M.A.2
  • 26
    • 85031691968 scopus 로고
    • Sparse matrix methods for chemical process separation calculations on supercomputers
    • IEEE Press, Los Alamitos, CA
    • Zitney, S. E., Sparse matrix methods for chemical process separation calculations on supercomputers. In Proc. Supercomputing '92, pp. 414-423. IEEE Press, Los Alamitos, CA (1992).
    • (1992) Proc. Supercomputing '92 , pp. 414-423
    • Zitney, S.E.1
  • 27
    • 0000858576 scopus 로고
    • Plantwide dynamic simulation on supercomputers: Modeling a Bayer distillation process
    • Zitney, S. E., Brüll, L., Lang, L. and Zeller, R. (1995) Plantwide dynamic simulation on supercomputers: modeling a Bayer distillation process. AIChE Symp. Ser. 91(304), 313-316.
    • (1995) AIChE Symp. Ser. , vol.91 , Issue.304 , pp. 313-316
    • Zitney, S.E.1    Brüll, L.2    Lang, L.3    Zeller, R.4
  • 28
    • 38249027601 scopus 로고
    • Computational experiments in equation-based chemical process flowsheeting
    • Zitney, S. E. and Stadtherr, M. A. (1988) Computational experiments in equation-based chemical process flowsheeting. Comput. Chem. Engng. 12, 1171-1186.
    • (1988) Comput. Chem. Engng. , vol.12 , pp. 1171-1186
    • Zitney, S.E.1    Stadtherr, M.A.2
  • 29
    • 0027579836 scopus 로고
    • Frontal algorithms for equation-based chemical process flowsheeting on vector and parallel computers
    • Zitney, S. E. and Stadtherr, M. A. (1993) Frontal algorithms for equation-based chemical process flowsheeting on vector and parallel computers. Comput. Chem. Engng. 17, 319-338.
    • (1993) Comput. Chem. Engng. , vol.17 , pp. 319-338
    • Zitney, S.E.1    Stadtherr, M.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.