FSG3123 Perturbation Methods in Mechanics 7.5 credits
Störningsmetoder i mekanik
The course is designed for graduate students in the engineering sciences to provide to them familiarity with perturbation methods, with special focus on how these methods provide useful insight in mathematical problems encountered in physics and engineering. The solution of ordinary differential equations with one small/large parameter will be analyzed, both within the framework of regular- or singular-perturbation theory, with special attention on boundary-layer theory, WKB approaches and multiple-scale analyses. The extension of the methods to partial-differential equations will also be discussed.