ÿþ< c i t a t i o n _ r e c o r d   P r o d u c t S h o r t N a m e = " A S T F T " >  
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 < r e c t y p e > < r e c t y p e _ c o d e > A R T < / r e c t y p e _ c o d e > < r e c t y p e _ d i s p > A r t i c l e < / r e c t y p e _ d i s p > < / r e c t y p e >  
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 < a u > < p a s > < p a >  
 < l a s t _ n a m e > W u < / l a s t _ n a m e >  
 < f i r s t _ n a m e > X i n - Y u a n < / f i r s t _ n a m e >  
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 < f i r s t _ n a m e > J i a n - L i n < / f i r s t _ n a m e >  
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 < t i > < t i t t x t > A n   E x p l i c i t   T w o - S t e p   M e t h o d   E x a c t   f o r   t h e   < b > S c a l a r < / b >   T e s t   E q u a t i o n   < i > y < s u p > ' < / s u p >   =   < s u p > »Ð< / s u p > y < / i >  
 < / t i t t x t > < / t i >  
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 < l a > < l a _ c o d e > e n g < / l a _ c o d e > < l a _ d i s p > E n g l i s h < / l a _ d i s p > < / l a >  
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 < p d > < p d _ c o d e > b i b l < / p d _ c o d e > < p d _ d i s p > b i b l i o g r a p h y < / p d _ d i s p > < / p d >  
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 < s u b j e c t > ~ / D i f f e r e n t i a l   E q u a t i o n s / ~ < / s u b j e c t >  
 < s u b j e c t > ~ / N u m e r i c a l   s t a b i l i t y / ~ < / s u b j e c t >  
 < s u b j e c t > ~ / S t i f f n e s s   /   M a t h e m a t i c a l   M o d e l s / ~ < / s u b j e c t >  
 < / s u >  
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 < p y > 2 0 0 0 < / p y >  
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 < a b > A n   e x p l i c i t   t w o - s t e p   m e t h o d   e x a c t   f o r   t h e   < b > s c a l a r < / b >   t e s t   e q u a t i o n   < i > y < s u p > ' < / s u p >   =   < s u p > »Ð< / s u p > y < / i > ,   R e ( »Ð)   & l t ;   0   i s   p r e s e n t e d   i n   t h i s   p a p e r .     I t   i s   e x p o n e t i a l l y   f i t t e d ,   L - s t a b l e   ( t h u s   A - s t a b l e ) ,   a n d   o f   o r d e r   2 .     W i t h   a   n e w   s e t   o f   v e c t o r   c o m p u t a t i o n s ,   w e   a l s o   e x t e n d   d i r e c t l y   t h e   m e t h o d   t o   s y s t e m s   o f   o r d i n a r y   d i f f e r e n t i a l   e q u a t i o n s .     T h e   n u m e r i c   e x p e r i m e n t s   d e m o n s t r a t e   t h a t   t h i s   e x p l i c i t   t w o - s t e p   m e t h o d   i s   s u i t a b l e   f o r   s t i f f   s y s t e m s . < / a b >  
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 < s o >  
 < j i >  
 < j n a > C O M A P < / j n a >  
 < j n > ~ C o m p u t e r s   a n d   M a t h e m a t i c s   w i t h   A p p l i c a t i o n s ~ < / j n >  
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 < d p b > < y e a r > 2 0 0 0 < / y e a r > < m o n t h > M a r c h < / m o n t h > < c h r o n o l o g y > 0 3 < / c h r o n o l o g y > < / d p b >  
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 < v o l u m e > 3 9 < / v o l u m e >  
 < i s s u e > 5 / 6 < / i s s u e >  
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 < p p g > < f p g > 2 4 9 < / f p g > < l p g > 2 5 7 < / l p g > < n u m p g > 9 < / n u m p g > < / p p g >  
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 < u r > h t t p : / / f t . h w w i l s o n . c o m / h t m l / 1 9 9 7 0 0 1 0 0 4 2 6 0 0 2 0 0 2 < / u r >  
 < u r l i m g > h t t p : / / f t . h w w i l s o n . c o m / p d f / 1 9 9 7 0 0 1 0 0 4 2 6 0 0 2 0 0 2 < / u r l i m g >  
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 < u r i > < u r i _ f t > Y < / u r i _ f t > < u r i _ p d f > P < / u r i _ p d f > < / u r i > < / c i t a t i o n _ r e c o r d > 
