Jorge Balbás

Asst. Professor

Department of Mathematics
California State University, Northridge
cv (.pdf)

Research Interests

My research focuses primarily on the analysis and implementation of high resolution, non-oscillatory numerical schemes for hyperbolic system of conservation laws and related problems. In particular, I am interested in the computational and mathematical challenges posed by the equations of ideal Magnetohydrodynamics (MHD), a hyperbolic model which describes the dynamics of electrically conducting fluids in the presence of a magnetic field.

Other topics of interest include: numerical schemes for PDEs in plasma physics, shallow water flows.

For more information about my research interests, see this research statement (.pdf)


Selected Lectures

Examples and Simulations

Part of my research focuses in the development of software tools for scientific computing. In particular, I am currently working on developing a collection of libraries that implement different versions of high-order non-oscillatory central schemes for hyperbolic conservation laws. Although we are still testing and improving this code, we hope it will be available to the public in the near future. In the mean time, you can find examples of hyperbolic conservation laws that I have solved using these libraries. Click in the links below to see a description of the equations and some animations.