The translated model can be solved, after satisfying mathematical consistency requirements, equation by equation in the debug-mode or simultaneously in the solution-mode. The solvable model can also be exported through a model transfer feature to other simulation engines and/or external software. The...
The Annals of Mathematical Statistics, 41 (1) (1970), pp. 164-171 Google Scholar Clark et al., 2012 D.B. Clark, M.M. Martinez-Garza, G. Biswas, R.M. Luecht, P. Sengupta Driving assessment of students' explanations in game dialog using computer-adaptive testing and hidden Markov Mode...
Techniques High Performance Computing & Simulation Information and Scientific Visualization Interaction Paradigms and Human Factors Internet, Web and Security Visualization Knowledge-based Simulation Modeling and Simulation Methodologies Modeling, Simulation and Control of Technological Processes Mathematical and ...
The runtime of \Delta ^{\textrm{F}}t=1e-3 is much higher than that of NeurVec (\Delta ^{\textrm{C}}t=2e-1) (P value \ll 0.001 under two-sided t-tests), and NeurVec enables these numerical methods to have more than 150\times speedup on the spring-chain systems (Fig. 2b)....
Major natural disasters have occurred frequently in the last few years, resulting in increased loss of life and economic damage. Most emergency responders
Fig. 1: Accelerate simulation of biophysically detailed neuron models. aA reconstructed layer-5 pyramidal neuron model and the mathematical formula used with detailed neuron models.bWorkflow when numerically simulating detailed neuron models. The equation-solving phase is the bottleneck in the simulation...
The application of game theory stands out as a significant tool that provides valuable perspectives for understanding and ultimately influencing the behavior of LLMs. Game theory, originally derived from economic and mathematical contexts, is a well-established theoretical framework that describes and anal...
Game-theoretic models provide a rigorous mathematical modelling framework, but tractability considerations keep them simple. In contrast, Evolutionary Simulation Models (ESMs) may be complex, but can lack rigour. We demonstrate that careful synthesis of the two techniques provides improved insights into ...
Mathematical models. As specified in Fig. 7.13, mathematical models include all of the following: (a) Mechanistic models. If a process and its characteristics are well defined, a set of differential equations can be used to describe its dynamic behavior. This is known as the development of mec...
To give readers of Analysis and Calculation a perspective on the role of simulation and computation we interviewed Thierry Marchal, Global Industry Director for Healthcare at Ansys, a multinational company operating in multi-physics digital simulation. 27 Testing a mathematical model to determine the ...