The phrase "advantages for solving the" is not complete and lacks clarity in written English.
It can be used when discussing benefits or positive aspects related to a specific problem or challenge, but it needs to be followed by a clear context.
Example: "There are several advantages for solving the issue of climate change, including improved public health and economic growth."
Alternatives: "benefits of addressing the" or "gains from resolving the".
Compared to the traditional methods (e.g., marker-particle methods), the proposed PFEM not only has very good accuracy, but also poses very mild restrictions on the numerical stability, and thus it has significant advantages for solving this type of open curve evolution problems with applications in the simulation of solid-state dewetting.
The major advantage of presented solutions for solving the vibration characteristics of composite laminated doubly-curved shells of revolution is no need to change the mathematical model or the displacement functions.
The problem of transferability is addressed in the context of CPNs, emphasising the advantages of use of CPNs for solving the problem.
Notwithstanding the advantages achievable by advanced methods for solving the linking problem, segmentation-free approaches as an alternative contributed major progress in the field recently.
The latter has the advantage of a much reduced scale for solving the optimization problem.
They inherited the advantages of the Poisson type conjugate gradient methods for solving the unconstrained minimization problems, but they had broader application scope.
They inherited the advantages of the Dai-Kou type conjugate gradient methods for solving the unconstrained minimization problems, but had broader application scope.
Each algorithm comprises a well-defined set of rules for solving the training problem and has specific advantages and disadvantages.
Our code combines advantages of the DSMC and the Point of Closest Approach techniques for solving the collision integral.
Based on those advantages, it was extended to solve QEP recently [20, 23, 31] and this opened a new approach for solving the problem.
