메뉴 건너뛰기




Volumn 60, Issue 6, 2009, Pages 591-609

Exponential time integration using Krylov subspaces

Author keywords

Exponential integration; Krylov subspaces

Indexed keywords

COMPLEX FLUID FLOW; COMPRESSIBLE NAVIER-STOKES EQUATIONS; EXPONENTIAL INTEGRATION; EXPONENTIAL INTEGRATORS; EXPONENTIAL TIME INTEGRATION; FLUID FLOW; KRYLOV SUBSPACE; KRYLOV SUBSPACES; LARGE SCALE SIMULATIONS; MULTIPLE TIMESCALES; TEMPORAL SCALE; TIME STEP; TIME-STEPPING SCHEMES; TRUNCATION ERRORS;

EID: 67649998868     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.1902     Document Type: Article
Times cited : (38)

References (17)
  • 1
    • 0002279610 scopus 로고    scopus 로고
    • Exponential integrators for large systems of differential equations
    • Hochbruck M, Lubich Ch, Selhofer H. Exponential integrators for large systems of differential equations. SIAM Journal on Scientific Computing 1998; 19(5):1552-1574.
    • (1998) SIAM Journal on Scientific Computing , vol.19 , Issue.5 , pp. 1552-1574
    • Hochbruck, M.1    Lubich, C.2    Selhofer, H.3
  • 2
  • 3
    • 0026818185 scopus 로고
    • Analysis of some Krylov subspace approximations to the matrix exponential operator
    • Saad Y. Analysis of some Krylov subspace approximations to the matrix exponential operator. SIAM Journal on Numerical Analysis 1992; 29(1):209-228.
    • (1992) SIAM Journal on Numerical Analysis , vol.29 , Issue.1 , pp. 209-228
    • Saad, Y.1
  • 4
    • 0032010619 scopus 로고    scopus 로고
    • EXPOKIT: A software package computing matrix exponentials
    • Sidje R. EXPOKIT: a software package computing matrix exponentials. ACM Transactions on Mathematical Software 1998; 24(1):130-156.
    • (1998) ACM Transactions on Mathematical Software , vol.24 , Issue.1 , pp. 130-156
    • Sidje, R.1
  • 5
    • 67649929380 scopus 로고
    • Application of Krylov exponential propagation to fluid dynamic equations
    • 91.06
    • Saad Y. Application of Krylov exponential propagation to fluid dynamic equations. RIACS Technical Report 91.06, 1991.
    • (1991) RIACS Technical Report
    • Saad, Y.1
  • 8
    • 0037354371 scopus 로고    scopus 로고
    • Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later
    • Moler C, Van Loan C. Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later. SIAM Review 2003; 45(1):3-49.
    • (2003) SIAM Review , vol.45 , Issue.1 , pp. 3-49
    • Moler, C.1    Van Loan, C.2
  • 9
    • 33646264630 scopus 로고    scopus 로고
    • Explicit exponential Runge-Kutta methods for semilinear parabolic problems
    • Hochbruck M, Ostermann A. Explicit exponential Runge-Kutta methods for semilinear parabolic problems. SIAM Journal on Numerical Analysis 2005; 43(3):1069-1090.
    • (2005) SIAM Journal on Numerical Analysis , vol.43 , Issue.3 , pp. 1069-1090
    • Hochbruck, M.1    Ostermann, A.2
  • 10
    • 0347799731 scopus 로고    scopus 로고
    • On Krylov subspace approximations to the matrix exponential operator
    • Hochbruck M, Lubich Ch. On Krylov subspace approximations to the matrix exponential operator. SIAM Journal on Numerical Analysis 1997; 34:1911-1925.
    • (1997) SIAM Journal on Numerical Analysis , vol.34 , pp. 1911-1925
    • Hochbruck, M.1    Lubich, C.2
  • 11
    • 32644441860 scopus 로고    scopus 로고
    • Efficient integration of large stiff systems of ODEs with exponential propagation iterative (EPI) methods
    • Tokman M. Efficient integration of large stiff systems of ODEs with exponential propagation iterative (EPI) methods. Journal of Computational Physics 2006; 213:748-776.
    • (2006) Journal of Computational Physics , vol.213 , pp. 748-776
    • Tokman, M.1
  • 12
    • 58249085985 scopus 로고    scopus 로고
    • Implementation of exponential Rosenbrock-type integrators
    • DOI: 10.1016/ j.apnum.2008.03.021
    • Caliari M, Ostermann A. Implementation of exponential Rosenbrock-type integrators. Applied Numerical Mathematics 2008; DOI: 10.1016/ j.apnum.2008.03.021.
    • (2008) Applied Numerical Mathematics
    • Caliari, M.1    Ostermann, A.2
  • 14
    • 84882650790 scopus 로고    scopus 로고
    • On the Influence of the Orthogonalization Scheme on the Parallel Performance of GMRES
    • Springer: Berlin
    • Faryseé V, Giraud L, Kharraz-Aroussi H. On the Influence of the Orthogonalization Scheme on the Parallel Performance of GMRES. Lecture Notes in Computer Science, vol. 1470. Springer: Berlin, 1998; 751-762.
    • (1998) Lecture Notes in Computer Science , vol.1470 , pp. 751-762
    • Faryseé, V.1    Giraud, L.2    Kharraz-Aroussi, H.3
  • 15
    • 0035877198 scopus 로고    scopus 로고
    • Large-scale eigenvalue calculations for stability analysis of steady flows on massively parallel computers
    • Lehoucq R, Salinger A. Large-scale eigenvalue calculations for stability analysis of steady flows on massively parallel computers. International Journal for Numerical Methods in Fluids 1999; 36:309-327.
    • (1999) International Journal for Numerical Methods in Fluids , vol.36 , pp. 309-327
    • Lehoucq, R.1    Salinger, A.2
  • 16
    • 0034258008 scopus 로고    scopus 로고
    • A characteristic-type formulation of the Navier-Stokes equations for high-order upwind schemes
    • Sesterhenn J. A characteristic-type formulation of the Navier-Stokes equations for high-order upwind schemes. Computers and Fluids 2001; 30:37-67.
    • (2001) Computers and Fluids , vol.30 , pp. 37-67
    • Sesterhenn, J.1
  • 17
    • 9144220381 scopus 로고
    • Compact finite difference schemes with spectral like resolution
    • Lele S. Compact finite difference schemes with spectral like resolution. Journal of Computational Physics 1992; 103:16-42.
    • (1992) Journal of Computational Physics , vol.103 , pp. 16-42
    • Lele, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.