메뉴 건너뛰기




Volumn 6, Issue 4, 1996, Pages 535-568

Accurate parallel integration of large sparse systems of differential equations

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0030501540     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202596000213     Document Type: Article
Times cited : (17)

References (25)
  • 1
    • 21344492025 scopus 로고
    • An analysis of the composite step bi-conjugate gradient method
    • R. Bank, and T. Chan, An analysis of the composite step bi-conjugate gradient method, Numer. Math. 66 (1993) 295-319.
    • (1993) Numer. Math. , vol.66 , pp. 295-319
    • Bank, R.1    Chan, T.2
  • 2
    • 0037993505 scopus 로고
    • The effect of temperature-dependent viscosity on shear-flow of incompressible fluids
    • M. Bertsch, L. A. Peletier and S. M. V. Lunel, The effect of temperature-dependent viscosity on shear-flow of incompressible fluids, SIAM J. Math. 22 (1991) 328-343.
    • (1991) SIAM J. Math. , vol.22 , pp. 328-343
    • Bertsch, M.1    Peletier, L.A.2    Lunel, S.M.V.3
  • 3
    • 44949278065 scopus 로고
    • Motion by mean-curvature as the singular limit of Ginzburg-Landau dynamics
    • L. Bronsard and R. V. Kohn, Motion by mean-curvature as the singular limit of Ginzburg-Landau dynamics, J. Differential Equations 90 (1991) 211-237.
    • (1991) J. Differential Equations , vol.90 , pp. 211-237
    • Bronsard, L.1    Kohn, R.V.2
  • 4
    • 0022738825 scopus 로고
    • Matrix-free methods for stiff systems of ODE's
    • P. N. Brown and A. C. Hindmarsh, Matrix-free methods for stiff systems of ODE's, SIAM J. Numer. Anal. 23 (1986) 610-638.
    • (1986) SIAM J. Numer. Anal. , vol.23 , pp. 610-638
    • Brown, P.N.1    Hindmarsh, A.C.2
  • 7
    • 0026106415 scopus 로고
    • Adaptive finite-element methods for parabolic problems 1. A linear model problem
    • K. Eriksson, and C. Johnson, Adaptive finite-element methods for parabolic problems 1. A linear model problem, SIAM J. Numer. Anal. 28 (1991) 43-77.
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 43-77
    • Eriksson, K.1    Johnson, C.2
  • 9
    • 0001164460 scopus 로고
    • A posteriori error bounds and global error control for approximations of ordinary differential equations
    • D. Estep, A posteriori error bounds and global error control for approximations of ordinary differential equations, SIAM J. Numer. Anal. 32 (1995) 1-48.
    • (1995) SIAM J. Numer. Anal. , vol.32 , pp. 1-48
    • Estep, D.1
  • 10
    • 0000700422 scopus 로고
    • An analysis of numerical approximations of metastable solutions of the bistable equation
    • D. Estep, An analysis of numerical approximations of metastable solutions of the bistable equation, Nonlinearity 7 (1994) 1445-1662.
    • (1994) Nonlinearity , vol.7 , pp. 1445-1662
    • Estep, D.1
  • 11
    • 0000139680 scopus 로고
    • Global error control for the continuous Galerkin finite element method for ordinary differential equations
    • D. Estep and D. French, Global error control for the continuous Galerkin finite element method for ordinary differential equations, RAIRO Model Math. Anal. Numér. 28 (1994) 815-852.
    • (1994) RAIRO Model Math. Anal. Numér. , vol.28 , pp. 815-852
    • Estep, D.1    French, D.2
  • 12
    • 85033831745 scopus 로고    scopus 로고
    • The computability of the Lorenz system
    • submitted
    • D. Estep and C. Johnson, The computability of the Lorenz system, submitted to J. Comput. Phys.
    • J. Comput. Phys.
    • Estep, D.1    Johnson, C.2
  • 16
    • 25444452938 scopus 로고
    • QMR: A quasi-minimal residual method for non-Hermitian linear systems
    • R. Freund and N. Nachtigal, QMR: A quasi-minimal residual method for non-Hermitian linear systems, Numer. Math. 60 (1991) 315-339.
    • (1991) Numer. Math. , vol.60 , pp. 315-339
    • Freund, R.1    Nachtigal, N.2
  • 17
    • 0001436426 scopus 로고
    • Iterative solution of linear equations in ODE codes
    • C. W. Gear and Y. Saad, Iterative solution of linear equations in ODE codes, SIAM J. Sci. Statist. Comp. 4 (1983) 583-601.
    • (1983) SIAM J. Sci. Statist. Comp. , vol.4 , pp. 583-601
    • Gear, C.W.1    Saad, Y.2
  • 18
    • 0026169824 scopus 로고
    • A globally convergent matrix-free algorithm for implicit time-marching schemes arising in finite element analysis in fluids
    • Z. Johan, T. J. Hughes and F. Shakib, A globally convergent matrix-free algorithm for implicit time-marching schemes arising in finite element analysis in fluids, Comput. Methods Appl. Mech. Engrg. 87 (1991) 281-304.
    • (1991) Comput. Methods Appl. Mech. Engrg. , vol.87 , pp. 281-304
    • Johan, Z.1    Hughes, T.J.2    Shakib, F.3
  • 19
    • 3342988482 scopus 로고
    • S-I-R epidemic models with directed diffusion
    • Mathematical Aspects of Human Diseases, ed. G. Da Prato, Giardini Editori
    • D. Meade and F. A. Milner, S-I-R epidemic models with directed diffusion, in Mathematical Aspects of Human Diseases, ed. G. Da Prato, Appl. Math. Monographs 3 (Giardini Editori, 1992).
    • (1992) Appl. Math. Monographs , vol.3
    • Meade, D.1    Milner, F.A.2
  • 20
    • 0001102631 scopus 로고
    • Complex patterns in a simple system
    • J. E. Pearson, Complex patterns in a simple system, Science 261 (1993) 189-192.
    • (1993) Science , vol.261 , pp. 189-192
    • Pearson, J.E.1
  • 21
    • 0000048673 scopus 로고
    • GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems
    • Y. Saad and M. Schultz, GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems, SIAM J. Sci. Statist. Comput. 7 (1986) 856-869.
    • (1986) SIAM J. Sci. Statist. Comput. , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.2
  • 22
    • 25744454700 scopus 로고
    • Computation of dendrites using a phase field model
    • A. A. Wheeler, B. T. Murray and R. J. Schaefer, Computation of dendrites using a phase field model, Physica D66 (1993) 243-262.
    • (1993) Physica , vol.D66 , pp. 243-262
    • Wheeler, A.A.1    Murray, B.T.2    Schaefer, R.J.3
  • 23
    • 84990643496 scopus 로고
    • Performance of dynamic load balancing algorithms for unstructured mesh calculations
    • R. D. Williams, Performance of dynamic load balancing algorithms for unstructured mesh calculations, Concurrency: Practice and Experience 3 (1991) 457-481.
    • (1991) Concurrency: Practice and Experience , vol.3 , pp. 457-481
    • Williams, R.D.1
  • 24
    • 84990723671 scopus 로고
    • Voxel databases: A paradigm for parallelism with spatial structure
    • R. D. Williams, Voxel databases: A paradigm for parallelism with spatial structure, Concurrency: Practice and Experience 4 (1992) 619-636.
    • (1992) Concurrency: Practice and Experience , vol.4 , pp. 619-636
    • Williams, R.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.