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Volumn 32, Issue 12, 1996, Pages 15-28

MANPAK: A set of algorithms for computations on implicitly defined manifolds

Author keywords

Computational algorithms; FORTRAN package; Implicit definition; Manifolds; Nonlinear equations

Indexed keywords

DIFFERENTIAL EQUATIONS; FORTRAN (PROGRAMMING LANGUAGE); MATHEMATICAL MODELS; NONLINEAR EQUATIONS; SET THEORY;

EID: 0030378528     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(96)00204-0     Document Type: Article
Times cited : (29)

References (24)
  • 1
    • 30244453339 scopus 로고    scopus 로고
    • Solving algebraically explicit DAEs with the MANPAK-manifold-algorithms
    • Inst. for Comp. Math. and Appl., University of Pittsburgh, Tech. Rept. TR-ICMA-96-199, July submitted
    • W.C. Rheinboldt, Solving algebraically explicit DAEs with the MANPAK-Manifold-Algorithms, Inst. for Comp. Math. and Appl., University of Pittsburgh, Tech. Rept. TR-ICMA-96-199, July 1996, Computers Math. Applic., (submitted).
    • (1996) Computers Math. Applic.
    • Rheinboldt, W.C.1
  • 4
    • 0000256568 scopus 로고
    • On the computation of multi-dimensional solution manifolds of parametrized equations
    • W.C. Rheinboldt, On the computation of multi-dimensional solution manifolds of parametrized equations, Num. Math. 53, 165-181, (1988).
    • (1988) Num. Math. , vol.53 , pp. 165-181
    • Rheinboldt, W.C.1
  • 6
    • 30244469263 scopus 로고    scopus 로고
    • Differential-geometric computational methods for nonlinear problems
    • Edited by V. Lakshmikantham, W. de Gruyter, Berlin, Germany
    • W.C. Rheinboldt, Differential-geometric computational methods for nonlinear problems, In World Congress of Nonlinear Analysts 1992, (Edited by V. Lakshmikantham), pp. 1017-1037, W. de Gruyter, Berlin, Germany, (1996).
    • (1996) World Congress of Nonlinear Analysts 1992 , pp. 1017-1037
    • Rheinboldt, W.C.1
  • 8
    • 30244499455 scopus 로고
    • Techn. Rep. TR 86-747, Cornell University, Dept. of Computer Science, Ithaca, New York, April
    • T.F. Coleman and A. Pothen, The Null-space Problem II: Algorithms, Techn. Rep. TR 86-747, Cornell University, Dept. of Computer Science, Ithaca, New York, (April 1986).
    • (1986) The Null-space Problem II: Algorithms
    • Coleman, T.F.1    Pothen, A.2
  • 10
    • 84951460152 scopus 로고
    • Generalized coordinate partioning for dimension reduction in analysis of constrained dynamic systems
    • R.A. Wehage and E.J. Haug, Generalized coordinate partioning for dimension reduction in analysis of constrained dynamic systems, J. of Mech. Design 104, 247-255, (1982).
    • (1982) J. of Mech. Design , vol.104 , pp. 247-255
    • Wehage, R.A.1    Haug, E.J.2
  • 11
    • 0011959494 scopus 로고
    • Differential-geometric techniques for solving differential algebraic equations
    • Edited by R. Deyo and E. Haug, Springer-Verlag, New York
    • F. Potra and W.C. Rheinboldt, Differential-geometric techniques for solving differential algebraic equations, In Real-Time Integration Methods for Mechanical Systems Simulation, (Edited by R. Deyo and E. Haug), pp. 155-192, Springer-Verlag, New York, (1991).
    • (1991) Real-time Integration Methods for Mechanical Systems Simulation , pp. 155-192
    • Potra, F.1    Rheinboldt, W.C.2
  • 13
    • 0002527007 scopus 로고
    • On the computation of simplicial approximations of implicitly defined two-dimensional manifolds
    • M.L. Brodzik and W.C. Rheinboldt, On the computation of simplicial approximations of implicitly defined two-dimensional manifolds, Computers Math. Applic. 28 (9), 9-21, (1994).
    • (1994) Computers Math. Applic. , vol.28 , Issue.9 , pp. 9-21
    • Brodzik, M.L.1    Rheinboldt, W.C.2
  • 14
    • 0021451638 scopus 로고
    • A note on the computation of an orthonormal basis for the nullspace of a matrix
    • T.F. Coleman and D.C. Sorensen, A note on the computation of an orthonormal basis for the nullspace of a matrix, Math. Progr. 29, 234-242, (1984).
    • (1984) Math. Progr. , vol.29 , pp. 234-242
    • Coleman, T.F.1    Sorensen, D.C.2
  • 17
    • 0027574655 scopus 로고
    • On the sensitivity of parametrized equations
    • W.C. Rheinboldt, On the sensitivity of parametrized equations, SIAM J. Num. Anal. 30, 305-320, (1993).
    • (1993) SIAM J. Num. Anal. , vol.30 , pp. 305-320
    • Rheinboldt, W.C.1
  • 18
    • 30244457390 scopus 로고    scopus 로고
    • Geometric notes on optimization with equality constraints
    • W.C. Rheinboldt, Geometric notes on optimization with equality constraints, Appl. Math. Lett. 9 (3), 83-87, (1996).
    • (1996) Appl. Math. Lett. , vol.9 , Issue.3 , pp. 83-87
    • Rheinboldt, W.C.1
  • 20
    • 0342950709 scopus 로고
    • On a computational method for the second fundamental tensor and its application to bifurcation problems
    • P.J. Rabier and W.C. Rheinboldt, On a computational method for the second fundamental tensor and its application to bifurcation problems, Num. Math. 57, 681-694, (1990).
    • (1990) Num. Math. , vol.57 , pp. 681-694
    • Rabier, P.J.1    Rheinboldt, W.C.2
  • 21
    • 0001484123 scopus 로고
    • On the numerical solution of the Euler Lagrange equations
    • P.J. Rabier and W.C. Rheinboldt, On the numerical solution of the Euler Lagrange equations, SIAM J. Num. Anal. 32, 318-329, (1995).
    • (1995) SIAM J. Num. Anal. , vol.32 , pp. 318-329
    • Rabier, P.J.1    Rheinboldt, W.C.2
  • 22
    • 0000877389 scopus 로고
    • A geometric treatment of implicit differential algebraic equations
    • P.J. Rabier and W.C. Rheinboldt, A geometric treatment of implicit differential algebraic equations, J. on Differential Equations 109, 110-146, (1994).
    • (1994) J. on Differential Equations , vol.109 , pp. 110-146
    • Rabier, P.J.1    Rheinboldt, W.C.2
  • 23
    • 84966208410 scopus 로고
    • Differential-algebraic systems as differential - Equations on manifolds
    • W.C. Rheinboldt, Differential-algebraic systems as differential - Equations on manifolds, Math. of Comp. 43, 473-482, (1984).
    • (1984) Math. of Comp. , vol.43 , pp. 473-482
    • Rheinboldt, W.C.1
  • 24
    • 0009926071 scopus 로고
    • On a constructive moving frame algorithm and the triangulation of equilibrium manifolds
    • Edited by T. Kuepper, R. Seydel and H. Troger, Birkhauser Verlag, Basel, Switzerland
    • W.C. Rheinboldt, On a constructive moving frame algorithm and the triangulation of equilibrium manifolds, In Bifurcation: Analysis Algorithms Applications, (Edited by T. Kuepper, R. Seydel and H. Troger), pp. 256-267, Birkhauser Verlag, Basel, Switzerland, (1987).
    • (1987) Bifurcation: Analysis Algorithms Applications , pp. 256-267
    • Rheinboldt, W.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.