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Volumn 64 LNCSE, Issue , 2008, Pages 1-12

Reverse automatic differentiation of linear multistep methods

Author keywords

Consistency; Linear multistep methods; Reverse automatic differentiation; Stability

Indexed keywords

ADJOINT; AUTOMATIC DIFFERENTIATION; CONSISTENCY; DISCRETE ADJOINTS; INITIAL TIME; INTERNATIONAL CONFERENCES; LINEAR MULTISTEP METHODS; NUMERICA L RESULTS; ODE SOLUTION; OPTIMIZATION AND CONTROL; REVERSE AUTOMATIC DIFFERENTIATION; REVERSE MODE; STABILITY PROPERTIES;

EID: 78651590094     PISSN: 14397358     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-68942-3_1     Document Type: Conference Paper
Times cited : (13)

References (9)
  • 2
    • 0003737074 scopus 로고    scopus 로고
    • On the use of Runge-Kutta time-marching and multigrid for the solution of steady adjoint equations
    • Technical Report NA00/10, Oxford University Computing Laboratory
    • Giles, M.: On the use of Runge-Kutta time-marching and multigrid for the solution of steady adjoint equations. Technical Report NA00/10, Oxford University Computing Laboratory (2000)
    • (2000)
    • Giles, M.1
  • 3
    • 0034550013 scopus 로고    scopus 로고
    • Runge-Kutta methods in optimal control and the transformed adjoint system
    • Hager, W.: Runge-Kutta methods in optimal control and the transformed adjoint system. Numerische Mathematik 87(2), 247-282 (2000)
    • (2000) Numerische Mathematik , vol.87 , Issue.2 , pp. 247-282
    • Hager, W.1
  • 6
    • 33746650509 scopus 로고    scopus 로고
    • Sandu, A.: On the Properties of Runge-Kutta Discrete Adjoints. In: Lecture Notes in Computer Science, LNCS 3994, Part IV, pp. 550-557. International Conference on Computational Science (2006)
    • Sandu, A.: On the Properties of Runge-Kutta Discrete Adjoints. In: Lecture Notes in Computer Science, vol. LNCS 3994, Part IV, pp. 550-557. "International Conference on Computational Science" (2006)
  • 7
    • 70349741587 scopus 로고    scopus 로고
    • On consistency properties of discrete adjoint linear multistep methods
    • Tech. Rep. CS-TR-07-40, Computer Science Department, Virginia Tech
    • Sandu, A.: On consistency properties of discrete adjoint linear multistep methods. Tech. Rep. CS-TR-07-40, Computer Science Department, Virginia Tech (2007)
    • (2007)
    • Sandu, A.1
  • 8
    • 0142106027 scopus 로고    scopus 로고
    • Direct and adjoint sensitivity analysis of chemical kinetic systems with KPP: I - Theory and software tools
    • Sandu, A., Daescu, D., Carmichael, G.: Direct and adjoint sensitivity analysis of chemical kinetic systems with KPP: I - Theory and software tools. Atmospheric Environment 37, 5083-5096 (2003)
    • (2003) Atmospheric Environment , vol.37 , pp. 5083-5096
    • Sandu, A.1    Daescu, D.2    Carmichael, G.3
  • 9
    • 33845600451 scopus 로고    scopus 로고
    • Automatic differentiation of explicit Runge-Kutta methods for optimal control
    • Walther, A.: Automatic differentiation of explicit Runge-Kutta methods for optimal control. Computational Optimization and Applications 36(1), 83-108 (2007)
    • (2007) Computational Optimization and Applications , vol.36 , Issue.1 , pp. 83-108
    • Walther, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.