Research Article

L-Stable Method for Differential-Algebraic Equations of Multibody System Dynamics

Table 6

Comparison of DAEs for L-stable and A-stable method solving indices-1,2,3.

index-1Runtime/sdisplacement constraintsspeed-level constraintsacceleration-level constraints

A-stable6.21883.8045e-052.3863e-072.0615e-075.6648e-12
L-stable5.89067.0007e-056.8459e-073.7480e-075.6595e-12

index-2Runtime/sdisplacement constraintsspeed-level constraintsacceleration-level constraints

A-stable5.46881.1145e-051.6059e-091.7729e-140.0214
L-stable5.42193.2163e-054.3949e-091.7764e-140.0704

index-3Runtime/sdisplacement constraintsspeed-level constraintsacceleration-level constraints

A-stableSingular
L-stable5.60940.00112.7756e-155.9405e-040.9854