Solution methods for boundary-value problems that frequently arise in mathematical physics. Analytic solutions using Green's functions and distribution theory. Computed solutions using the boundary element method.
| Paper title | Boundary Value Problems of Mathematical Physics |
|---|---|
| Paper code | ELEC443 |
| Subject | Electronics |
| EFTS | 0.0833 |
| Points | 10 points |
| Teaching period | Not offered in 2023 (On campus) |
| Domestic Tuition Fees (NZD) | $704.22 |
| International Tuition Fees | Tuition Fees for international students are elsewhere on this website. |
- Limited to
- BSc(Hons), PGDipSci, MSc, MAppSc
- Contact
Associate Professor Colin Fox (colin.fox@otago.ac.nz)
- Teaching staff
To be advised when next offered
- Textbooks
- Textbooks are not required for this paper.
- Graduate Attributes Emphasised
- Global perspective, Interdisciplinary perspective, Lifelong learning, Scholarship,
Communication, Critical thinking, Information literacy, Self-motivation, Teamwork.
View more information about Otago's graduate attributes. - Learning Outcomes
- By the end of the module students are expected to be able to:
- Perform simple manipulations using distributional calculus, in particular find distributional solutions to some simple differential equations
- Know the defining properties of classical, weak and distributional solutions to differential equations
- Know the defining properties of fundamental solutions and Green's functions
- Find Green's functions for linear ordinary differential boundary value problems, including initial-value problems
- Find the adjoint operator and adjoint boundary value problem associated with a linear partial differential boundary value problem
- Derive Green's theorem for arbitrary second-order linear partial differential equations with (classical) boundary conditions
- Use fundamental solutions or Green's functions within Green's theorem to write an integral solution to a linear boundary value problem
- Derive the boundary integral equation for second-order elliptic boundary value problems
- State the steps required for a rudimentary boundary element method
- Code up a boundary element method in MatLab or Python that solves an elliptic problem
