@Article{IJNAMB-5-171, author = {ANDREW D. JORGENSON}, title = {Unconditional Stability of a Crank-Nicolson Adams-Bashforth 2 Numerical Method.}, journal = {International Journal of Numerical Analysis Modeling Series B}, year = {2014}, volume = {5}, number = {3}, pages = {171--187}, abstract = {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.}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnamb/229.html} }