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Our experimental results on a number of benchmark problems demonstrate that propagating the multiset ordering constraint via a dedicated algorithm can be very beneficial.
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Numerical solutions of some benchmark problems demonstrate the applicability of the proposed space time error estimator.
Numerical tests on well-established benchmark problems demonstrate the superiority of the new method.
Simulation studies on nonlinear benchmark problems demonstrate the effectiveness of the proposed method.
One and two-dimensional benchmark problems demonstrate the desirable interface sharpening and conservation properties of the approach.
Numerical results for a comprehensive suite of both benchmark and practical problems demonstrate that the designed schemes simultaneously obtain the well-resolved broadband turbulence and the sharp shock profiles with considerable reduction in the computation cost.
Real-time experiments on an experimental version of the benchmark problem demonstrate the practicality of the proposed approach.
The experimental results on the benchmark functions and ELD problems demonstrate that the proposed MSODPSO-G and MSODPSO-L can offer high-quality solutions.
Numerical examples, including both benchmark cases and practical engineering problems, demonstrate that the SNS-FEM possesses the following important properties: (1) temporal stability; (2) super accuracy and super convergence; (3) higher computational efficiency; (4) insensitive to mesh distortion.
The analyses of two- and three-dimensional benchmark problems as well as static and transient problems, demonstrate that very accurate solutions can be obtained with assembly-sized spatial meshes.
Computational experiments were carried out on classic benchmark problems to demonstrate the effectiveness of this new method.
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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