메뉴 건너뛰기




Volumn 1281, Issue , 2010, Pages 227-230

Energy and quadratic invariants preserving integrators of Gaussian type

Author keywords

collocation Runge Kutta methods; energy preserving methods; Hamiltonian systems; symplectic integrators

Indexed keywords


EID: 79954517748     PISSN: 0094243X     EISSN: 15517616     Source Type: Conference Proceeding    
DOI: 10.1063/1.3498430     Document Type: Conference Paper
Times cited : (13)

References (24)
  • 2
    • 70450202242 scopus 로고    scopus 로고
    • Hamiltonian BVMs (HBVMs): A family of "drift free" methods for integrating polynomial Hamiltonian problems
    • L. Brugnano, F. Iavernaro, D. Trigiante. Hamiltonian BVMs (HBVMs): a family of "drift free" methods for integrating polynomial Hamiltonian problems. AIP Conf. Proc. 1168 (2009) 715-718.
    • (2009) AIP Conf. Proc. , vol.1168 , pp. 715-718
    • Brugnano, L.1    Iavernaro, F.2    Trigiante, D.3
  • 4
    • 79954541432 scopus 로고    scopus 로고
    • Analisys of Hamiltonian Boundary Value Methods (HBVMs): A class of energy-preserving Runge-Kutta methods for the numerical solution of polynomial Hamiltonian dynamical systems
    • submitted (arXiv:0909.5659)
    • L. Brugnano, F. Iavernaro, D. Trigiante. Analisys of Hamiltonian Boundary Value Methods (HBVMs): a class of energy-preserving Runge-Kutta methods for the numerical solution of polynomial Hamiltonian dynamical systems, BIT (2009), submitted (arXiv:0909.5659).
    • (2009) BIT
    • Brugnano, L.1    Iavernaro, F.2    Trigiante, D.3
  • 5
    • 79251644908 scopus 로고    scopus 로고
    • Hamiltonian Boundary Value Methods (Energy Preserving Discrete Line Integral Methods)
    • to appear (arXiv:0910.3621)
    • L. Brugnano, F. Iavernaro, D. Trigiante. Hamiltonian Boundary Value Methods (Energy Preserving Discrete Line Integral Methods). Jour. of Numer. Anal. Industr. and Appl. Math. (2010), to appear (arXiv:0910.3621).
    • (2010) Jour. of Numer. Anal. Industr. and Appl. Math.
    • Brugnano, L.1    Iavernaro, F.2    Trigiante, D.3
  • 10
    • 33744721734 scopus 로고    scopus 로고
    • An algebraic approach to invariant preserving integrators: The case of quadratic and Hamiltonian invariants
    • P. Chartier, E. Faou, A. Murua. An algebraic approach to invariant preserving integrators: the case of quadratic and Hamiltonian invariants. Numer. Math. 103, no. 4 (2006) 575-590.
    • (2006) Numer. Math. , vol.103 , Issue.4 , pp. 575-590
    • Chartier, P.1    Faou, E.2    Murua, A.3
  • 11
    • 0003034563 scopus 로고
    • The symplectic methods for the computation of Hamiltonian equations
    • Feng Kang, Qin Meng-zhao. The symplectic methods for the computation of Hamiltonian equations. Lecture Notes in Math. 1297 (1987) 1-37.
    • (1987) Lecture Notes in Math. , vol.1297 , pp. 1-37
    • Feng, K.1    Qin, M.-Z.2
  • 12
    • 45449123467 scopus 로고
    • Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators
    • Z. Ge, J.E. Marsden. Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators. Phys. Lett. A 133 (1988) 134-139.
    • (1988) Phys. Lett. A , vol.133 , pp. 134-139
    • Ge, Z.1    Marsden, J.E.2
  • 13
    • 0003014117 scopus 로고    scopus 로고
    • Time Integration and Discrete Hamiltonian Systems
    • O. Gonzalez. Time integration and discrete Hamiltonian systems. J. Nonlinear Sci. 6 (1996) 449-467. (Pubitemid 126429515)
    • (1996) Journal of Nonlinear Science , vol.6 , Issue.5 , pp. 449-467
    • Gonzalez, O.1
  • 14
    • 79251639390 scopus 로고    scopus 로고
    • Energy-preserving variant of collocation methods
    • to appear
    • E. Hairer. Energy-preserving variant of collocation methods. J. Numer. Anal. Ind. Appl. Math. to appear.
    • J. Numer. Anal. Ind. Appl. Math.
    • Hairer, E.1
  • 17
    • 35348892759 scopus 로고    scopus 로고
    • s-Stage Trapezoidal Methods for the Conservation of Hamiltonian Functions of Polynomial Type
    • F. Iavernaro, B. Pace. s-Stage Trapezoidal Methods for the Conservation of Hamiltonian Functions of Polynomial Type. AIP Conf. Proc. 936 (2007) 603-606.
    • (2007) AIP Conf. Proc. , vol.936 , pp. 603-606
    • Iavernaro, F.1    Pace, B.2
  • 18
    • 67650694301 scopus 로고    scopus 로고
    • High-order symmetric schemes for the energy conservation of polynomial Hamiltonian problems
    • F. Iavernaro, D. Trigiante. High-order symmetric schemes for the energy conservation of polynomial Hamiltonian problems. J. Numer. Anal. Ind. Appl. Math. 4, no. 1-2 (2009) 87-111.
    • (2009) J. Numer. Anal. Ind. Appl. Math. , vol.4 , Issue.1-2 , pp. 87-111
    • Iavernaro, F.1    Trigiante, D.2
  • 19
    • 0034507584 scopus 로고    scopus 로고
    • Preserving algebraic invariants with Runge-Kutta methods
    • A. Iserles, A. Zanna. Preserving algebraic invariants with Runge-Kutta methods. J. Comput. Appl. Math. 125 (2000) 69-81.
    • (2000) J. Comput. Appl. Math. , vol.125 , pp. 69-81
    • Iserles, A.1    Zanna, A.2
  • 22
    • 43049117191 scopus 로고    scopus 로고
    • A new class of energy-preserving numerical integration methods
    • G.R.W. Quispel, D.I. McLaren. A new class of energy-preserving numerical integration methods. J. Phys. A: Math. Theor. 41 (2008) 045206 (7pp).
    • (2008) J. Phys. A: Math. Theor. , vol.41
    • Quispel, G.R.W.1    McLaren, D.I.2
  • 24
    • 0038041190 scopus 로고
    • The canonicity of mappings generated by Runge-Kutta type methods when integrating the systems x″ = -∂U/∂x
    • Y.B. Suris. The canonicity of mappings generated by Runge-Kutta type methods when integrating the systems x″ = -∂U/∂x. USSR Comput. Maths. Math. Phys. 29 (1989) 138-144.
    • (1989) USSR Comput. Maths. Math. Phys. , vol.29 , pp. 138-144
    • Suris, Y.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.