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The method employs multiple time steps across the computational crystal both for the force evaluation and the neighbor list updating.
In the second case, there exists a control sequence which makes the system reach to zero in multiple time steps.
The system has also been tested for pathophysiological state prediction of patients at multiple time steps ahead and the prediction at the next instant of time stands out to be the most accurate.
The methodology that we seek to exploit is the recently developed algorithm based on Cartesian expansions for accelerating the computation of potentials of the form Rν. In this paper, we present an efficient methodology for computing these polynomials for two different scenarios; where the size of the domain spans the distance travelled by light in (i) one time step and (ii) multiple time steps.
The computational complexity of our scheduler is essentially for users this complexity is amortized over multiple time steps.
In the case of 3D convolution in reverse time migration, multiple time steps can be applied simultaneously.
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Our algorithm also facilitates application of multiple time stepping techniques within the FMM.
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.
We perform experiments on linear and nonlinear problems comparing symplectic and nonsymplectic multiple time stepping extensions of the Verlet method.
In this work we demonstrate two potential dangers of multiple time step techniques for numerical integration of differential equations.
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