Open Access. Powered by Scholars. Published by Universities.®
Ordinary Differential Equations and Applied Dynamics Commons™
Open Access. Powered by Scholars. Published by Universities.®
- Discipline
-
- Numerical Analysis and Computation (2)
- Physics (2)
- Astrophysics and Astronomy (1)
- Atomic, Molecular and Optical Physics (1)
- Biochemistry (1)
-
- Biochemistry, Biophysics, and Structural Biology (1)
- Computer Sciences (1)
- Elementary Particles and Fields and String Theory (1)
- Life Sciences (1)
- Molecular Biology (1)
- Numerical Analysis and Scientific Computing (1)
- Other Astrophysics and Astronomy (1)
- Other Physics (1)
- Stars, Interstellar Medium and the Galaxy (1)
- Statistical, Nonlinear, and Soft Matter Physics (1)
- Institution
Articles 1 - 3 of 3
Full-Text Articles in Ordinary Differential Equations and Applied Dynamics
Computationally Modeling Dynamic Biological Systems, Katherine Jarvis
Computationally Modeling Dynamic Biological Systems, Katherine Jarvis
Electronic Theses and Dissertations
Modeling biological systems furthers our understanding of dynamic relationships and helps us make predictions of the unknown properties of the system. The simple interplay between individual species in a dynamic environment over time can be modeled by equation-based modeling or agent- based modeling (ABM). Equation based modeling describes the change in species quantity using ordinary differential equations (ODE) and is dependent on the quantity of other species in the system as well as a predetermined rates of change. Unfortunately, this method of modeling does not model each individual agent in each species over time so individual dynamics are assumed to …
Understanding The Nature Of Nanoscale Wetting Through All-Atom Simulations, Oliver Evans
Understanding The Nature Of Nanoscale Wetting Through All-Atom Simulations, Oliver Evans
Williams Honors College, Honors Research Projects
The spreading behavior of spherical and cylindrical water droplets between 30Å and 100Å in radius on a sapphire surface is investigated using all-atom molecular dynamics simulations for durations on the order of tens of nanoseconds. A monolayer film develops rapidly and wets the surface, while the bulk of the droplet spreads on top of the monolayer, maintaining the shape of a spherical cap. Unlike previous simulations in the literature, the bulk radius is found to increase to a maximum value and receed as the monolayer continues to expand. Simple time and droplet size dependence is observed for monolayer radius and …
Accuracy And Stability Of Integration Methods For Neutrino Transport In Core Collapse Supernovae, Kyle A. Gregory
Accuracy And Stability Of Integration Methods For Neutrino Transport In Core Collapse Supernovae, Kyle A. Gregory
Chancellor’s Honors Program Projects
No abstract provided.