TY - JOUR
T1 - Unconditional Stability of a Crank-Nicolson Adams-Bashforth 2 Numerical Method.
AU - ANDREW D. JORGENSON
JO - International Journal of Numerical Analysis Modeling Series B
VL - 3
SP - 171
EP - 187
PY - 2014
DA - 2014/05
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnamb/229.html
KW - convection-diffusion equations
KW - unconditional stability
KW - IMEX methods
KW - Crank-Nicolson
KW - Adams-Bashforth 2
AB - Nonlinear partial differential equations modeling turbulentv fluid flow and similar processes present special challanges in numerical analysis. Regions of stability of implicit-explicit
methods are reviewed, and an energy norm based on Dahlquist's concept of G-stability is developed. 
Using this norm, a time-stepping Crank-Nicolson Adams-Bashforth 2 implicit-explicit
method for solving spatially-discretized convection-diffusion equations of this type is analyzed and
shown to be unconditionally stable.