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    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.

    About this paper

    Paper title Boundary Value Problems of Mathematical Physics
    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

    Associate Professor Colin Fox (

    Teaching staff

    To be advised when next offered

    Textbooks are not required for this paper.
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    Global perspective, Interdisciplinary perspective, Lifelong learning, Scholarship, Communication, Critical thinking, Information literacy, Self-motivation, Teamwork.
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    Learning Outcomes
    By the end of the module students are expected to be able to:
    1. Perform simple manipulations using distributional calculus, in particular find distributional solutions to some simple differential equations
    2. Know the defining properties of classical, weak and distributional solutions to differential equations
    3. Know the defining properties of fundamental solutions and Green's functions
    4. Find Green's functions for linear ordinary differential boundary value problems, including initial-value problems
    5. Find the adjoint operator and adjoint boundary value problem associated with a linear partial differential boundary value problem
    6. Derive Green's theorem for arbitrary second-order linear partial differential equations with (classical) boundary conditions
    7. Use fundamental solutions or Green's functions within Green's theorem to write an integral solution to a linear boundary value problem
    8. Derive the boundary integral equation for second-order elliptic boundary value problems
    9. State the steps required for a rudimentary boundary element method
    10. Code up a boundary element method in MatLab or Python that solves an elliptic problem


    Not offered in 2023

    Teaching method
    This paper is taught On Campus
    Learning management system
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