Nara Women's University

Summer Program on Mathematical Modeling 2023

Date: Monday 7 to Thursday 10 of August, 2023

Location: G301 and G302 on the 3rd floor of Building G (G Hall), Department of Environmental Science, Faculty of Science, Nara Women's University, Nara, Japan

Time schedule*

Day 1, Monday 7 August:

9:00- 9:30 Orientation of SPMM2023 at the computer room G301, Building G, Faculty of Science NWU.
All participants should participate in this orientation. Program contents, instruction and access to computer facilities will be given. Participants can use computers (Linux/Windows) of G301 to carry on numerical/simulation analyses. But participants are encouraged to bring their own laptop (Linux/Windows/macOS) with python3 + related packages installed.

10:00- 12:00, 13:30- 16:00 Lecture and simulation exercise at G301. Ordinary differential equation ODE models in continuous time. Numerical methods to solve ODEs.

Day 2, Tuesday 8 August:
9:00- 12:00, 13:30- 16:00 Lecture and simulation exercise at G301. Difference equation models in discrete time. Spatial population dynamics described by reaction-diffusion models as PDE. Turing patterns in PDE models. Integro-difference equation models in continuous space and in discrete time, Coupled lattice models, Lattice models.

Evening: Socializing events with NWU students. BBQ in campus

Day 3, Wednesday 9 August:
9:00- 12:00, 13:30- 16:00 Lecture and simulation exercise at G301. Stochastic population dynamics in continuous time and discrete population size. Gillespie algorithm to implement numerical simulation. Mathematical analysis based on master equation.

Evening: Socializing events with NWU students. A tour to Namba, Osaka

Day 4, Thursday 10 August:
9:00- 12:00 Lecture and simulation exercise at G301. Stochastic population dynamics in discrete time (Branching process), Point pattern dynamics models.
13:30- 16:00 General discussion. Closing ceremony of SPMM2023 at G301.

*Time schedule and topics may be subject to change. Mode detailed information will be added as needed.


Last modified on 9 August 2023