Welcome

Welcome to CSCI-5636: Numerical Solution of Partial Differential Equations

Logistics

• Meeting Time: MWF 1:25-2:15pm in ECCS 1B14

• Office hours: Choose a time

• Join in Zoom

• Canvas page

  • Please accept the Zulip invite on Canvas

Resources

• SIAM Membership is free for CU students (30% discount on SIAM books)

• Lecture series

  • Bangerth, Finite element methods in scientific computing course (focus on deal.II finite element library and C++)

• Books

  • Driscoll and Braun, Fundamentals of Numerical Computation (free, in Julia)

  • Myers, Van de Geijn, Van de Geijn, Linear Algebra: Foundations to Frontiers (free PDF and videos)

  • LeVeque, Finite Difference Methods for Ordinary and Partial Differential Equations (CU students can download free from SIAM)

  • LeVeque, Finite Volume Methods for Hyperbolic Problems and the Clawpack software.

  • Toro, Riemann Solvers and Numerical Methods for Fluid Dynamics. (CU students can download free)

  • Logg, Mardal, Wells, Automated Solution of Differential Equations by the Finite Element Method (The FEniCS Book). (free download)

  • Trefethen, Spectral Methods in MATLAB. (CU students can download free from SIAM)

  • Elman, Silvester, Wathen, Finite Elements and Fast Iterative Solvers with Applications in Incompressible Fluid Dynamics (CU students click “Full Text” to read online)

• Papers

  • Roache, Code Verification by the Method of Manufactured Solutions

  • Turk, Scaling a code in the human dimension arXiv

  • Nachtigal, Reddy, Trefethen, How fast are nonsymmetric matrix iterations

  • Greenbaum, Pták, Strakoš, Any nonincreasing convergence curve is possible for GMRES

  • Embree, The tortoise and the hare restart GMRES