TY - GEN
T1 - Exponential Asymptotics
AU - WONG, Sue Cheun Roderick
PY - 2001
Y1 - 2001
N2 - Significant developments have occurred recently in the general theory of asymptotic expansions. These developments include smoothing of the Stokes phenomenon (M. V. Berry), uniform exponentially-improved asymptotic expansions (F. W. J. Olver), superasymptotics and hyperasymp- totics (M. V. Berry and C. J. Howls). In this lecture, I will use the Airy function to give a flavor of each of these new concepts in what is now known as “exponential asymptotics” or “asymptotics beyond all orders” (M. D. Kruskal and H. Segur). My approach is based on a modified version of the steepest-descent method introduced by Berry and Howls in 1991.
AB - Significant developments have occurred recently in the general theory of asymptotic expansions. These developments include smoothing of the Stokes phenomenon (M. V. Berry), uniform exponentially-improved asymptotic expansions (F. W. J. Olver), superasymptotics and hyperasymp- totics (M. V. Berry and C. J. Howls). In this lecture, I will use the Airy function to give a flavor of each of these new concepts in what is now known as “exponential asymptotics” or “asymptotics beyond all orders” (M. D. Kruskal and H. Segur). My approach is based on a modified version of the steepest-descent method introduced by Berry and Howls in 1991.
U2 - 10.1007/978-94-010-0818-1_19
DO - 10.1007/978-94-010-0818-1_19
M3 - 32_Refereed conference paper (with host publication)
SN - 978-0-7923-7120-5
T3 - NATO Science Series
SP - 505
EP - 518
BT - Special Functions 2000: Current Perspective and Future Directions
A2 - Bustoz, Joaquin
A2 - Ismail , Mourad E. H.
A2 - Suslov , Sergei K.
PB - Springer Netherland
ER -