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Nevertheless, this problem is solved efficiently using Ipopt, demonstrating the effectiveness of interior-point methods on complex, large-scale nonlinear programming problems.
Then, with the aid of the displacement compatibility and the contact forces equilibrium along the pile soil contact surface, the dynamic pile soil interaction problem is solved efficiently.
In this paper, the volume integral equation is solved efficiently via a multi-level fast multipole method (MLFMM) implementation, requiring O(N log N) memory and computational cost.
We found that this problem is solved efficiently, and introducing a full-cycle formulation has the potential to improve the performance of SMB, as shown through single and multi-objective optimization studies.
The proposed methodology is built on a robust semi-implicit discretization introduced by Peskin in the late 70s which is solved efficiently through the novel use of a fast, treecode strategy to compute flow-structure interactions.
The optimization is solved efficiently using 4D filtering in pixel-disparity space.
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Is there a problem that couldn't be solved efficiently by a quantum computer, but could be solved efficiently by some other computer allowed by the laws of physics?
When can such problems be solved efficiently, and if so, how efficiently?
If they cannot be solved efficiently, can we efficiently compute good approximate solutions for them?
Unfortunately, not all problems can be solved efficiently using functional programming.
The formulated constrained optimization problem is convex and can be solved efficiently by use of the exponentiated-gradient (EG) algorithm.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com