Welcome to CSUMS

Faculty Presentations

Dr. Carl Gardner

Modelling and Simulation of Biological Cells and Astrophysical Jets

An introduction to visualization techniques, with applications to potassium ion channels, nerve cells and astrophysical jets.(pdf)

PDEs in Mathematical Biology

An overview of various partial differential equations that occur in biological and physical systems. Numerical methods such as Backward and Forward Euler are discussed. (pdf)

Dr. Eric Kostelich

Mathematics and Climate Workshop

Lecture 1 of 1: Data assimilation issues in weather and climate. (pdf)

Lecture 2 of 3: Introduction to ensemble forecasting. (pdf)

Lecture 3 of 3: The Local Ensemble Transform Kalman Filter. (pdf)

Data Assimilation and Rank-r Approximation Exercises

Introduction to MATLAB. (pdf)

Introduction to SVD and Applications. (pdf)

Introduction to Data Assimilation. (pdf) 

For more information, see http://math.asu.edu/~eric/

Dr. Bruno Welfert

Topics in Numerical Simulation: Ideas for projects.
Presented on February 18, 2008

An introduction to numerical methods in ordinary differential equations. Noise is introduced to the classical SIR model and the effect discussed. (pdf)

PDEs in Mathematical Physics, Numerical Methods and MATLAB Simulation.
Presented on March 7, 2008

A continuation of methods in numerical simulation in the framework of partial differential equations. MATLAB code is provided to investigate both the convection-diffusion equations and the Navier-Stokes equations. (pdf)

Unsaturated Flow of Water in Soils. (pdf)
Presented on March 30, 2009