4 papers
Effective Complexity Reduction of the Landau-de Gennes Elastic Energy: A Quantitative Framework and Numerical Validation
Razvan-Dumitru Ceuca, Simone Rusconi, Arghir-Dani Zarnescu
We revisit the elastic energy formulation of the Landau-de Gennes model for nematic liquid crystals, focusing on quantitative reductions of the multi-constant elastic energy. Build…
Complexity reduction of physical models: an equation-free approach by means of scaling
Simone Rusconi, Christina Schenk, Razvan Ceuca +2
The description of complex physical phenomena often involves sophisticated models that rely on a large number of parameters, with many dimensions and scales. One practical way to s…
Relative frequencies of constrained events in stochastic processes: An analytical approach
S. Rusconi, E. Akhmatskaya, D. Sokolovski +2
The stochastic simulation algorithm (SSA) and the corresponding Monte Carlo (MC) method are among the most common approaches for studying stochastic processes. They rely on knowled…
Reducing model complexity by means of the Optimal Scaling: Population Balance Model for latex particles morphology formation
Simone Rusconi, Christina Schenk, Arghir Zarnescu +1
Rational computer-aided design of multiphase polymer materials is vital for rapid progress in many important applications, such as: diagnostic tests, drug delivery, coatings, addit…