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Under construction. This area is a framework being built: most courses have no teaching material yet, and things may change or break. Private self-study. Not an official programme and not recognised by any ministry or school. No qualification, mark or document is issued, and “years 1 to 3” and “advanced” are names of study paths only.

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A03 Numerical PDEs & finite elements

Advanced pathA: Advanced appliedplannedabout 180 h (planning estimate)

Planned: syllabus only, no teaching material yet. Nothing on this page can be studied; it describes what the course would cover.

Named in: Advanced applied mathematics pathway

Why this course

Discretizing PDEs: stability, convergence and finite elements; needs a weak-formulation bridge.

Prerequisites

Required
A01 Graduate numerical analysis, B18 Partial differential equations I
Recommended
none
Can be taken at the same time
none
Everything required, transitively (15 courses)
A01, B01, B02, B03, B04, B06, B07, B08, B12, B18, B19, B22, F01, F02, F03
Courses that require this one
none

Concept-level units

Units follow the syllabus order, as a recommended sequence rather than a gate.

  1. Finite differences
  2. Consistency and stability
  3. Finite elements
  4. Variational discretization
  5. Convergence and mesh studies
  6. Sparse solvers

Assessable outcome

Construct a discretization and document its stability and convergence.

Assessment design

  • deeper problem sets
  • reconstruction of an unfamiliar argument
  • advanced source reading
  • cumulative examination or substantial project

cumulative; uses spaced retrieval

Resources

Every title here is candidate, unverified unless marked verified. Titles were suggested while planning. Nobody has checked that they exist, what they cost or how they are licensed.

  • LeVeque
  • Brenner and Scott
  • selected finite-element notes

Content record

Version
0.0.0
Review
no review of any kind
Provenance
catalogue imported from the owner brief of 29 Oct 2026; no teaching content authored
Known issues
  • Needs a weak-formulation / Sobolev bridge before finite-element analysis (see bridges.json BR-weak-form).
Type
course

Bridges and laboratories

  • Bridge: Weak formulation and Sobolev bridge planned Finite-element analysis needs weak formulations; P13 or a short bridge provides them.

You and this course

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