Scientific Computing

Catalog description

This course introduces computational techniques widely used in engineering analysis and modeling. Topics include numerical methods for solving ordinary differential equations (ODEs) as well as partial differential equations (PDEs) with both initial and boundary value formulations under linear and nonlinear conditions. Students will learn and apply key approaches such as finite difference, finite element, and spectral methods to solve engineering problems. The course will also cover stochastic techniques for simulating systems influenced by noise (such as lasers and quantum systems) and for evaluating high-dimensional integrals (useful in image processing).