Adaptive integration

For short term simulations, accuracy requirements on the discrete solution make sense and we advocate error controlling adaptive integrators. Moreover, we have to further subdivide our classification due to the observations in Sec. 2.2 ... 

Note that the summation over R implies summation over the elements of the DCR R. In application to symmetry-adapted integrals it is often convenient to substitute U l for U in 4.9. Since U is a group this is perfectly legitimate. 

There are several adaptive integrators available in software form inside MATLAB. Their names are ode45 for a Runge-Kutta embedding formula of orders 4 and 5, ode23 of a Runge-Kutta embedding formula of orders 2 and 3, and ode 113 of the predictor-... 

Fasnacht, M., Swendsen, R.H., Rosenberg, M. Adaptive integration method for Monte Carlo simulations. Phys. Rev. E. 2004, 69, 056704. 

Venter, A., Laurie, D.P. A doubly adaptive integration algorithm using stratified rules. BIT 42,183-193 (2002)... 

Adapt integrated electronic/optical/electrochemical models for analysis of advanced a-Si Ge and CIGS photoelectrode configurations, including "hybrid" devices combining solid-state and photoelectrochemical junctions. 

The resulting program is very high performance and constitutes the foundation of many programs for the adaptive integration. 

The receiving location is too bright or dark-adaptation integrity is necessary The person s job requires moving about continuously... 

Saad, R, Hjalmdahl, M., Canas, J., Alonso, M., Garayo, R, Macchi, L., Nathan, F., et al. 2005. Literature review of behavioural effects. Deliverable 1.2.1 of AIDE (adaptive integrated driver vehicle interface). Paris INRETS. 

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