The accuracy and stability of the new schemes are validated by numerical experiments of the linear wave equation and nonlinear Navier Stokes equations.
This paper introduces a mathematical programming approach to systematically find optimal designs of experiments for linear algebraic models.
Compared to these results, the relationship between total execution time and number of queries in the first set of experiments is linear because the number of nodes does not change.
Although old physical experiments showed the development of linear graben structures caused by diapiric uprise of viscous material with no external lateral extension6, recent numerical experiments reveal that mantle plume impingement on a rheologically realistic lithosphere not subjected to far-field stresses may only result in axisymmetric domal-shaped features with multiple radiating rifts7.
The mathematical model was experimentally validated using different sets of experiments at different values of linear velocity, bed thickness, initial concentration and pH of the feeding solution.
The theoretical results are verified with specially designed experiments on isocratic separation of linear polystyrenes on a column packed with non-porous particles at various solvent compositions.
Antibody epitopes are traditionally defined immunochemically via epitope-mapping experiments using nested sets of linear peptides or libraries of mutated antigens, but this approach cannot be translated to easily measure the conservation of epitopes across the informatics of the large number of circulating HIV-1 strains.
As a result of experiments, a linear effect in the removal efficiency of COD was obtained for current density and retention time, while the initial pH of the wastewater was found to have a quadratic effect in the removal efficiency of COD.
This typically includes; modern statistical computing, frequentist methods, nonparametrics, likelihood and Bayesian approaches, mathematical statistics, design of experiments, linear models, survival analysis, longitudinal analysis, latent variable models, nonlinear models, categorical data analysis and clinical trials.
In these models we experimented with including combinations of linear, quadratic, and cubic terms for each variable and used the specification that best fitted the data in terms of the statistical significance of the individual terms and the explanatory power of the models.
