메뉴 건너뛰기




Volumn 1, Issue , 2008, Pages 15-34

Large-Scale Algebraic Systems

Author keywords

Differential algebraic equation; Numerical algorithm; Physical phenomenon; Stoichiometric equations

Indexed keywords


EID: 52749098802     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/9783527619856.ch2     Document Type: Chapter
Times cited : (3)

References (31)
  • 1
    • 0041708327 scopus 로고
    • An Algorithm for Solving Nonlinear Equations Based on the Secant Method
    • Barnes J. C. P. An Algorithm for Solving Nonlinear Equations Based on the Secant Method. Comput. J. 8 (1965) p. 66
    • (1965) Comput. J. , vol.8 , pp. 66
    • Barnes, J.C.P.1
  • 2
    • 0001345577 scopus 로고
    • A Class of Methods for Solving Nonlinear Simultaneous Equations
    • Broyden C. G. A Class of Methods for Solving Nonlinear Simultaneous Equations. Math. Comput. 21 (1965) p. 368
    • (1965) Math. Comput. , vol.21 , pp. 368
    • Broyden, C.G.1
  • 3
    • 77957174880 scopus 로고
    • A New Method of Solving Nonlinear Simultaneous Equations
    • Broyden C. G. A New Method of Solving Nonlinear Simultaneous Equations. Comput. J. 12 (1969) p. 94
    • (1969) Comput. J. , vol.12 , pp. 94
    • Broyden, C.G.1
  • 4
    • 0021579844 scopus 로고
    • Orthogonal Procedure for the Updating of Sparse Jacobian Matrices
    • Buzzi-Ferraris G. Mazzotti M. Orthogonal Procedure for the Updating of Sparse Jacobian Matrices. Comput. Chem. Eng. 8 (1984) p. 389
    • (1984) Comput. Chem. Eng. , vol.8 , pp. 389
    • Buzzi-Ferraris, G.1    Mazzotti, M.2
  • 5
    • 0035881915 scopus 로고    scopus 로고
    • Global Homotopy Continuation Procedures for Seeking all Roots of a Nonlinear Equation
    • Gritton K. S. Seader J. D. Lin W, J. Global Homotopy Continuation Procedures for Seeking all Roots of a Nonlinear Equation. Comput. Chem. Eng. 25 (2001) p. 1003
    • (2001) Comput. Chem. Eng. , vol.25 , pp. 1003
    • Gritton, K.S.1    Seader, J.D.2    Lin, W.J.3
  • 6
    • 0022582556 scopus 로고
    • BUNLSI - A Fortran Program for Solution of Systems of Nonlinear Algebraic Equations
    • Buzzi-Ferraris G. Tronconi E. BUNLSI - A Fortran Program for Solution of Systems of Nonlinear Algebraic Equations. Comput. Chem. Eng. 10 (1986) p. 129
    • (1986) Comput. Chem. Eng. , vol.10 , pp. 129
    • Buzzi-Ferraris, G.1    Tronconi, E.2
  • 7
    • 0027675810 scopus 로고
    • An Improved Convergence Criterion in the Solution of Nonlinear Algebraic Equations
    • Buzzi-Ferraris G. Tronconi E. An Improved Convergence Criterion in the Solution of Nonlinear Algebraic Equations. Comput. Chem. Eng. 17 (1993) p. 419
    • (1993) Comput. Chem. Eng. , vol.17 , pp. 419
    • Buzzi-Ferraris, G.1    Tronconi, E.2
  • 9
    • 0033544442 scopus 로고    scopus 로고
    • Homotopy Continuation Method in Multi-phase Multi-reaction Equilibrium Systems
    • Jalali F. Seader J . D. Homotopy Continuation Method in Multi-phase Multi-reaction Equilibrium Systems. Comput. Chem. Eng. 23 (1999) p. 1319
    • (1999) Comput. Chem. Eng. , vol.23 , pp. 1319
    • Jalali, F.1    Seader, J.D.2
  • 11
    • 84966239443 scopus 로고
    • Modification of a Quasi- Newton Method for Nonlinear Equations with a Sparse Jacobian
    • Schubert, L. K. Modification of a Quasi- Newton Method for Nonlinear Equations with a Sparse Jacobian. Math. Comput. 24 (1970) p. 27
    • (1970) Math. Comput. , vol.24 , pp. 27
    • Schubert, L.K.1
  • 14
    • 0000388912 scopus 로고
    • Solving Equations by Successive Substitution - The Problems of Divergence and Slow Convergence
    • Eberhan J. G. Solving Equations by Successive Substitution - The Problems of Divergence and Slow Convergence. J. Chem. Edu. (1986) p. 576
    • (1986) J. Chem. Edu. , pp. 576
    • Eberhan, J.G.1
  • 15
    • 0029251393 scopus 로고
    • Bracketing Method for On-line Solution of Low-Dimensional Nonlinear Algebraic Equations
    • Gupta Y. P. Bracketing Method for On-line Solution of Low-Dimensional Nonlinear Algebraic Equations. Ind. Eng. Chem. Res. (1995) p. 239
    • (1995) Ind. Eng. Chem. Res. , pp. 239
    • Gupta, Y.P.1
  • 16
    • 0001214188 scopus 로고    scopus 로고
    • Process Simulation Using Continuation Method in Complex Domain
    • Jalali F. Process Simulation Using Continuation Method in Complex Domain. Comput. Chem. Eng. 22 (1998) p. S943
    • (1998) Comput. Chem. Eng. , vol.22
    • Jalali, F.1
  • 17
    • 0030652764 scopus 로고    scopus 로고
    • Multiple-step Method for Solving Nonlinear Systems of Equations
    • Jsun Y. W. Multiple-step Method for Solving Nonlinear Systems of Equations. Comput. Appl. Eng. Edu. 5 (1997) p. 121
    • (1997) Comput. Appl. Eng. Edu. , vol.5 , pp. 121
    • Jsun, Y.W.1
  • 18
    • 0032093442 scopus 로고    scopus 로고
    • Solutions to Systems of Nonlinear Equations via a Genetic Algorithm
    • Karr C. L. Weck B. Freeman L. M. Solutions to Systems of Nonlinear Equations via a Genetic Algorithm. Eng. App. Artif. Intell. (1998) p. 369
    • (1998) Eng. App. Artif. Intell. , pp. 369
    • Karr, C.L.1    Weck, B.2    Freeman, L.M.3
  • 19
    • 0024037330 scopus 로고
    • Computing all Real Solutions to Systems of Nonlinear Equations with a Global Fixed-Point Homotopy
    • Kuno M. Seader J. D. Computing all Real Solutions to Systems of Nonlinear Equations with a Global Fixed-Point Homotopy. Ind. Eng. Chem. Res. 27 (1988) p. 1320
    • (1988) Ind. Eng. Chem. Res. , vol.27 , pp. 1320
    • Kuno, M.1    Seader, J.D.2
  • 21
    • 0001743879 scopus 로고
    • Bounded Homotopies to Solve Systems of Algebraic Nonlinear Equations
    • Paloschi J. R. Bounded Homotopies to Solve Systems of Algebraic Nonlinear Equations. Comput. Chem. Eng. 19 (1995) p. 1243
    • (1995) Comput. Chem. Eng. , vol.19 , pp. 1243
    • Paloschi, J.R.1
  • 22
    • 0022583462 scopus 로고
    • A New Method for Solving a Class of Nonlinear Equations
    • Paterson W. R. A New Method for Solving a Class of Nonlinear Equations. Chem. Eng. Sci. 41 (1986) p. 135
    • (1986) Chem. Eng. Sci. , vol.41 , pp. 135
    • Paterson, W.R.1
  • 24
    • 0025075579 scopus 로고
    • Mapped Continuation Methods for Computing all Solutions to General Systems of Nonlinear Equations
    • Seader J. D. Kuno M. Lin W. J. Johnson S. A. Unsworth K. Wiskin J. W. Mapped Continuation Methods for Computing all Solutions to General Systems of Nonlinear Equations. Comput. Chem. Eng. 14 (1990) p. 71
    • (1990) Comput. Chem. Eng. , vol.14 , pp. 71
    • Seader, J.D.1    Kuno, M.2    Lin, W.J.3    Johnson, S.A.4    Unsworth, K.5    Wiskin, J.W.6
  • 25
    • 0015756815 scopus 로고
    • Converging Interval Methods for the Iterative Solution of a Nonlinear Equation
    • Shacham M. Kehat E. Converging Interval Methods for the Iterative Solution of a Nonlinear Equation. Chem. Eng. Sci. 28 (1973) p. 2187
    • (1973) Chem. Eng. Sci. , vol.28 , pp. 2187
    • Shacham, M.1    Kehat, E.2
  • 26
    • 0037107350 scopus 로고    scopus 로고
    • Numerical Solution of Non-linear Algebraic Equations with Discontinuities
    • Shacham M. Brauner N. Numerical Solution of Non-linear Algebraic Equations with Discontinuities. Comput. Chem. Eng. 26 (2002) p. 1449
    • (2002) Comput. Chem. Eng. , vol.26 , pp. 1449
    • Shacham, M.1    Brauner, N.2
  • 27
    • 0037092572 scopus 로고    scopus 로고
    • A Web-based Library for Testing Performance of Numerical Software for Solving Nonlinear Algebraic Equations
    • Shacham M. Brauner N. Cutlip M. B. A Web-based Library for Testing Performance of Numerical Software for Solving Nonlinear Algebraic Equations. Comput. Chem. Eng. 26 (2002) p. 547
    • (2002) Comput. Chem. Eng. , vol.26 , pp. 547
    • Shacham, M.1    Brauner, N.2    Cutlip, M.B.3
  • 28
    • 0010496035 scopus 로고
    • Application of Parallel Interval Newton/Generalized Bisection Algorithm to Equation-Based Chemical Process Flowsheeting
    • Schnepper C. A. Studthm M. A. Application of Parallel Interval Newton/Generalized Bisection Algorithm to Equation-Based Chemical Process Flowsheeting. Interval Comput. 4 (1993) p. 40
    • (1993) Interval Comput. , vol.4 , pp. 40
    • Schnepper, C.A.1    Studthm, M.A.2
  • 29
    • 0011746347 scopus 로고    scopus 로고
    • Newtonpreconditioned Krylov Subspace Solvers for System of Nonlinear Equations: a Numerical Experiment
    • Sundar S. Bhagavan B. K. Prasad S. Newtonpreconditioned Krylov Subspace Solvers for System of Nonlinear Equations: a Numerical Experiment. Appl. Math. Lett. 14 (2001) p. 195
    • (2001) Appl. Math. Lett. , vol.14 , pp. 195
    • Sundar, S.1    Bhagavan, B.K.2    Prasad, S.3
  • 30
    • 0023241048 scopus 로고
    • Homotopy Continuation Methods for Computer-Aided Process Design
    • Wayburn T. L. Seader J. D. Homotopy Continuation Methods for Computer-Aided Process Design. Comput. Chem. Eng. 11 (1987)
    • (1987) Comput. Chem. Eng. , vol.11
    • Wayburn, T.L.1    Seader, J.D.2
  • 31
    • 38149146738 scopus 로고
    • Robust Solution of Algebraic Process Modeling Equations
    • Wilhelm C. E. Swaney R. E. Robust Solution of Algebraic Process Modeling Equations. Comput. Chem. Eng 18 (1994) p. 511
    • (1994) Comput. Chem. Eng , vol.18 , pp. 511
    • Wilhelm, C.E.1    Swaney, R.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.