A shooting method for fully implicit index-2 differential algebraic equations

被引:16
作者
Lamour, R
机构
[1] Humboldt-University of Berlin, Institut of Mathematics
关键词
DAE; BVP; index-2; consistent initial value;
D O I
10.1137/S1064827595287274
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A shooting method for two-point boundary value problems (BVPs) for fully implicit index-1 and index-2 differential algebraic equations (DAEs) is presented. A combination of the shooting equations with a method of the calculation of consistent initial values leads to a system of nonlinear algebraic equations with a nonsingular Jacobian matrix. Examples are given.
引用
收藏
页码:94 / 114
页数:21
相关论文
共 12 条
[1]  
[Anonymous], ACT NUMERIC
[2]   COLLOCATION SOFTWARE FOR BOUNDARY-VALUE DIFFERENTIAL-ALGEBRAIC EQUATIONS [J].
ASCHER, UM ;
SPITERI, RJ .
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1994, 15 (04) :938-952
[3]   STABILITY OF COMPUTATIONAL METHODS FOR CONSTRAINED DYNAMICS SYSTEMS [J].
ASCHER, UM ;
PETZOLD, LR .
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1993, 14 (01) :95-120
[4]   ODE METHODS FOR THE SOLUTION OF DIFFERENTIAL ALGEBRAIC SYSTEMS [J].
GEAR, CW ;
PETZOLD, LR .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1984, 21 (04) :716-728
[5]  
GRIEPENTROG E, 1986, DIFFERENTIAL ALGEBRA
[6]  
HANSEN B, 1990, THESIS HUMBOLDT U BE
[7]   A WELL-POSED SHOOTING METHOD FOR TRANSFERABLE DAES [J].
LAMOUR, R .
NUMERISCHE MATHEMATIK, 1991, 59 (08) :815-829
[8]   APPROXIMATION METHODS FOR THE CONSISTENT INITIALIZATION OF DIFFERENTIAL-ALGEBRAIC EQUATIONS [J].
LEIMKUHLER, B ;
PETZOLD, LR ;
GEAR, CW .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1991, 28 (01) :205-226
[9]  
MARZ R, 1987, 162 HUMB U BERL SEKT
[10]  
MARZ R, 1989, RESULTS MATH, V15, P149