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Our algorithm also facilitates application of multiple time stepping techniques within the FMM.
We perform experiments on linear and nonlinear problems comparing symplectic and nonsymplectic multiple time stepping extensions of the Verlet method.
The use of multiple time stepping with the popular Verlet method was proposed in a 1991 paper.
Our implementation includes periodic boundary conditions calculations and facilitates multiple time stepping techniques without sacrificing determinism of computation and scales to hundreds of processor for systems of only O(10k) atoms.
These generalize to the fully asynchronous AVI case the results obtained for synchronous multiple time stepping schemes, such as r-RESPA, which show resonances when the larger time step is a multiple of the effective half-period of the stiff potential.
Another line of development are multiple time stepping algorithms that integrate different parts of structures with different step sizes.
Similar(52)
Experimental results are reported for single-time step prediction and multiple time step (p-step) prediction on several widely used time series.
The adoption of multiple time step integrators can provide substantial computational savings for mechanical systems with multiple time scales.
In the case of 3D convolution in reverse time migration, multiple time steps can be applied simultaneously.
In the second case, there exists a control sequence which makes the system reach to zero in multiple time steps.
The computational complexity of our scheduler is essentially for users this complexity is amortized over multiple time steps.
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