An Analysis of Operator Splitting Techniques in the Stiff Case

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Local spectral time splitting method for first- and second-order partial differential equations (2005, unknown): “: +1 517 353 4689. ail address: wei@math.msu.edu (G.W. Wei).”
A comparison of integration methods for atmospheric transport-chemistry problems (2000, methodology): “In [13, 18] it is also shown that the Strang splitting method (II) may su er from order reduction from two to one.”
Exploiting ISAT to solve the reaction–diffusion equation (2004, methodology): “It has been suggested by Sportisse (2000) that starting and ending the time step with the stiff physical process leads to a more accurate numerical scheme than the alternative approach of starting and ending with the non-stiff process.”
Time-Split versus Process-Split Coupling of Parameterizations and Dynamical Core (2002, background): “Sportisse (2000) shows that classical error analyses may fail when Dt is larger than the fastest timescale, such as when combining stiff and nonstiff operators.”
Adjoint sensitivity analysis of regional air quality models (2005, background): “The numerical errors introduced by splitting are an important component of model errors (see e.g., [ 46 ]).”
On balanced approximations for time integration of multiple time scale systems (2003, result): “, rate of convergence) of these algorithms, and the results in [5,6] also support the use of implicitly balanced methods for multiple time scale problems.”