NEW EFFICIENT ALGORITHM FOR SOLVING DIFFERENTIAL-ALGEBRAIC SYSTEMS USING IMPLICIT BACKWARD DIFFERENTIATION FORMULAS

被引:153
|
作者
BRAYTON, RK
HACHTEL, GD
GUSTAVSON, FG
机构
关键词
D O I
10.1109/PROC.1972.8562
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
引用
收藏
页码:98 / +
页数:1
相关论文
共 50 条
  • [41] Multiple shooting using a dichotomically stable integrator for solving differential-algebraic equations
    England, R
    Lamour, R
    López-Estrada, J
    APPLIED NUMERICAL MATHEMATICS, 2002, 42 (1-3) : 117 - 131
  • [42] Application of the spectral pseudo-inversion to solving Hermitian systems of differential-algebraic equations
    Nechepurenko, Yu. M.
    Ovchinnikov, G. V.
    Sadkane, M.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 260 : 218 - 228
  • [43] A method for solving boundary value problems and spectral problems for linear differential-algebraic systems
    A. A. Abramov
    V. I. Ul’yanova
    L. F. Yukhno
    Differential Equations, 2006, 42 : 932 - 940
  • [44] Parametrization Approach for Solving Index-4 Linear Differential-Algebraic Control Systems
    Abd, Ghazwa F.
    Zaboon, Radhi A.
    INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2022, 17 (02): : 815 - 825
  • [45] A sequential computational approach to optimal control problems for differential-algebraic systems based on efficient implicit Runge-Kutta integration
    Jiang, Canghua
    Xie, Kun
    Yu, Changjun
    Yu, Ming
    Wang, Hai
    He, Yigang
    Teo, Kok Lay
    APPLIED MATHEMATICAL MODELLING, 2018, 58 : 313 - 330
  • [46] A method for solving boundary value problems and spectral problems for linear differential-algebraic systems
    Abramov, A. A.
    Ul'yanova, V. I.
    Yukhno, L. F.
    DIFFERENTIAL EQUATIONS, 2006, 42 (07) : 932 - 940
  • [47] Partitioning ordinary differential equations using block Adams formulas and block backward differentiation formulas
    Othman, Khairil Iskandar
    Ibrahim, Zarina Bibi
    Suleiman, Mohamed
    Majid, Zanariah
    IMECS 2007: International Multiconference of Engineers and Computer Scientists, Vols I and II, 2007, : 2440 - 2440
  • [48] 2-Point Block Backward Differentiation Formulas for Solving Fuzzy Differential Equations Directly
    Ismail, Nurzeehan
    Ibrahim, Zarina Bibi
    Othman, Khairil Iskandar
    CHIANG MAI JOURNAL OF SCIENCE, 2017, 44 (04): : 1781 - 1791
  • [49] One-step methods and implicit extrapolation technique for index 1 differential-algebraic systems
    Kulikov, GY
    RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2004, 19 (06) : 527 - 553
  • [50] A Globally Stable Algorithm for the Integration of High-Index Differential-Algebraic Systems
    Di Franco, Pierluigi
    Scarciotti, Giordano
    Astolfi, Alessandro
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2020, 65 (05) : 2107 - 2122