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Though sparse, the arising system of linear equations is ill-conditioned; however, when written in terms of a short support wavelet basis with a well-chosen normalization, the resulting system, which is symmetric positive definite, appears to be well-conditioned, as evidenced by the fast convergence of the conjugate gradient iteration.
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The ability to factorize Q m ( t E ) in second-order factors and solve the arising systems as such two-by-two block matrix systems means that one only has to solve first-order systems.
For large-scale problems however, the computational cost associated with solving the arising linear system in the SSFEM still poses a significant challenge.
When we discretize nonlinear Volterra integral equations using some numerical, such as collocation methods, the arising algebraic systems are nonlinear.
Simulation results confirm the desirable behavior of the arising closed-loop system.
We focus on the three-dimensional response of the system arising from the finite width of the imposed velocity discontinuity.
This approach maximizes the overall system reliability subject to the nonlinear resource constraints arising on system cost, volume and weight.
The limitation arises from system inertia and thermal transients.
Entities (agents) and interactions are described and followed individually, and the general behavior of the system arises from the sum of the local behaviors of the involved entities.
The FAAR model describes crisis as an imbalance in the family system arising from the number of demands exceeding the capacities of the family.
As there are few investigations to computationally measure blood flow using SSFP MRI, the system arising from our study will provide a solution to a currently unmet need.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com