Title : 
An ill-conditioning problem with implicit integration
         
        
            Author : 
Calahan, D.A. ; Gear, C.W.
         
        
        
        
        
        
        
            Abstract : 
A new instability problem associated with numerical integration of circuit equations is pointed out. A change of state variables is shown as a means of avoiding the problem.
         
        
            Keywords : 
Algorithm design and analysis; Automatic control; Circuit analysis computing; Differential equations; Diodes; Eigenvalues and eigenfunctions; Error correction; Gears; Jacobian matrices; State estimation;
         
        
        
            Journal_Title : 
Proceedings of the IEEE
         
        
        
        
        
            DOI : 
10.1109/PROC.1969.7402