WebDec 20, 2024 · Defect-based local error estimators for splitting methods, with application to Schrodinger equations, Part II. Higher-order methods for linear problems Article Jan 2014 J COMPUT APPL MATH... WebJul 28, 2016 · In order to construct higher order methods, one can choose a splitting such that the appropriate terms in the BCH formula vanish (the paper by Yoshida cited above …
A numerical study of adaptive space and time discretisations for …
WebNov 18, 2024 · High order splitting methods for ODE with different timesteps. where A and B are two different operators. A is very cheap to evaluate but stiff and it requires very small … WebStability andconvergence analysisof high-order exponential operator splitting methods. Linear Schrödinger equations, seeJAHNKE ANDLUBICH(2000) andTH. (2007). Nonlinear Schrödinger equations, seeLUBICH(2007)and CALIARI, KIRCHNER,ANDTHALHAMMER(2007). Implementation and numerical tests. friends of barnsley archives
High order splitting methods for analytic semigroups exist
WebOct 19, 2012 · High order splitting schemes with complex timesteps are applied to Kolmogorov backward equations stemming from stochastic differential equations in … WebJul 28, 2009 · Since high-order splitting methods with real time are known to involve large and/or negative time steps, which destabilizes the overall procedure, the key point of our analysis is, we develop splitting methods that use complex time steps having positive real part: going to the complex plane allows to considerably increase the accuracy, while … Webcomputation time as the order of splitting increases. However, the question remains as to whether higher-order extensions of the method are worthwhile to use from a computational efficiency point of view. Therefore, in the present study, in addition to the first-order splitting, we consider higher-order splittings, faze rug and brawadis family vacation house