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Volumn 57, Issue 4, 2007, Pages 415-435

Geometric numerical integration by means of exponentially-fitted methods

Author keywords

Exponential fitting; Geometric integration; Hamiltonian systems; Oscillating differential equations

Indexed keywords

CURVE FITTING; DIFFERENTIAL EQUATIONS; HAMILTONIANS; NUMERICAL METHODS; PROBLEM SOLVING;

EID: 33847279475     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apnum.2006.06.001     Document Type: Article
Times cited : (25)

References (12)
  • 1
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    • (1979) Z. angew. Math. Phys. , vol.30 , pp. 177-189
    • Deuflhard, P.1
  • 3
    • 0000132696 scopus 로고
    • Numerical integration of ordinary differential equations based on trigonometric polynomials
    • Gautschi W. Numerical integration of ordinary differential equations based on trigonometric polynomials. Numer. Math. 3 (1961) 381-397
    • (1961) Numer. Math. , vol.3 , pp. 381-397
    • Gautschi, W.1
  • 4
    • 0041330504 scopus 로고    scopus 로고
    • Long-time energy conservation of numerical methods for oscillatory differential equations
    • Hairer E., and Lubich Ch. Long-time energy conservation of numerical methods for oscillatory differential equations. SIAM J. Numer. Anal. 38 (2000) 414-441
    • (2000) SIAM J. Numer. Anal. , vol.38 , pp. 414-441
    • Hairer, E.1    Lubich, Ch.2
  • 6
    • 0346830423 scopus 로고    scopus 로고
    • Geometric numerical integration illustrated by the Störmer/Verlet method
    • Hairer E., Lubich C., and Wanner G. Geometric numerical integration illustrated by the Störmer/Verlet method. Acta Numerica 12 (2003) 399-450
    • (2003) Acta Numerica , vol.12 , pp. 399-450
    • Hairer, E.1    Lubich, C.2    Wanner, G.3
  • 7
    • 0033409713 scopus 로고    scopus 로고
    • A Gautschi-type method for oscillatory second-order differential equations
    • Hochbruck M., and Lubich Ch. A Gautschi-type method for oscillatory second-order differential equations. Numer. Math. 83 (1999) 403-426
    • (1999) Numer. Math. , vol.83 , pp. 403-426
    • Hochbruck, M.1    Lubich, Ch.2
  • 9
    • 0001066401 scopus 로고
    • On a class of modified Newton-Cotes quadrature formulae based upon the mixed-type interpolation
    • Vanden Berghe G., De Meyer H., and Vanthournout J. On a class of modified Newton-Cotes quadrature formulae based upon the mixed-type interpolation. J. Comput. Appl. Math. 31 (1990) 331-349
    • (1990) J. Comput. Appl. Math. , vol.31 , pp. 331-349
    • Vanden Berghe, G.1    De Meyer, H.2    Vanthournout, J.3
  • 10
    • 0005239563 scopus 로고
    • A modified Numerov integration method for second order periodic initial-value problems
    • Vanden Berghe G., De Meyer H., and Vanthournout J. A modified Numerov integration method for second order periodic initial-value problems. Int. J. Comput. Math. 32 (1990) 233-242
    • (1990) Int. J. Comput. Math. , vol.32 , pp. 233-242
    • Vanden Berghe, G.1    De Meyer, H.2    Vanthournout, J.3
  • 11
    • 0000985559 scopus 로고
    • Accurate computation of higher Sturm-Liouville eigenvalues
    • Vanden Berghe G., and De Meyer H. Accurate computation of higher Sturm-Liouville eigenvalues. Numer. Math. 59 (1991) 243-254
    • (1991) Numer. Math. , vol.59 , pp. 243-254
    • Vanden Berghe, G.1    De Meyer, H.2
  • 12
    • 33847336482 scopus 로고    scopus 로고
    • Exponential fitting: General Approach and applications for ODE-solvers
    • Kalla S., and Chawla M. (Eds), Kuwait University, ICMA, Kuwait
    • Vanden Berghe G. Exponential fitting: General Approach and applications for ODE-solvers. In: Kalla S., and Chawla M. (Eds). Proceedings of the International Conference of Mathematics and its Applications (2004), Kuwait University, ICMA, Kuwait 75-91
    • (2004) Proceedings of the International Conference of Mathematics and its Applications , pp. 75-91
    • Vanden Berghe, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.