 2023

Original solutions to all three questions of the numerical solutions of partial differential equations course of the University of Oxford Part B examination, held on 6 June 2023. Source: original released PDF, bundle pages 292–295; paper pages 1–4. The numbering follows the paper. In 3(e), the growth constant must be allowed to depend on the mesh; the literal mesh-independent assertion in the native PDF is false. The corrected result and the intended failure of practical stability of a finite difference scheme are proved below.