The phrase "analytical benchmark" is correct and usable in written English.
It can be used in contexts where you are discussing a standard or point of reference for analysis, particularly in fields like research, finance, or data analysis.
Example: "The study established an analytical benchmark to evaluate the effectiveness of the new marketing strategy."
Alternatives: "analytical standard" or "evaluation benchmark".
Several numerical test cases are shown, including an analytical benchmark due to Su and Olson [B.
Su, G.L. Olson, An analytical benchmark for non-equilibrium radiative transfer in an isotropically scattering medium, Ann.
To further delineate the mathematical framework, several examples are presented, and the obtained results are verified by numerical analysis and some analytical benchmark solutions available in the literature.
The model was verified by comparison with large-scale steel frame test results and a variety of existing analytical benchmark solutions.
A primary objective was to produce a comprehensive range of new distributed plasticity analytical benchmark solutions for verification of the concentrated plasticity methods.
An analytical benchmark bridge structure developed for bridge health monitoring studies is used as the test structure to verify the proposed methodologies.
Solution accuracy is verified against dedicated analytical benchmarks and other solutions available in the literature.
Analytical benchmarks for nuclear engineering applications: case studies in transport theory, NEA, OECD] in which a number of three-dimensional transport problems are solved with special reference to acceleration techniques.
More generally, the computations presented here could now be considered as standard and reliable analytical benchmarks for numerical simulations, specifically and independently testing the different processes underlying binary alloy solidification.
The convergence of the schemes for both smooth and non-smooth solutions was also investigated using the method of manufactured solutions (MMS) for multidimensional problems and a 1D semi-analytical benchmark whose solution contains a strongly discontinuous first derivative.
We demonstrate that the method is straightforward to implement in existing models and, using a series of analytical and benchmark comparisons, we show that it does not suffer from the timestep constraints of previous schemes.
