Welcome to CSCI-5636: Numerical Solution of Partial Differential Equations
:::{admonition} Logistics
- Meeting Time: MWF 11:15-12:05 in ECCS 1B14
- Office hours: Choose a time
- Join in Zoom
- Canvas page :::
::::{admonition} Activities :::{list-table} :header-rows: 1 :widths: 30 70
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- Name
- Objectives
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- 2022-08-24-derivatives
- Use GitHub classroom and observe two kinds of numerical error: rounding error and discretization (aka. truncation) error.
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- 2022-09-19-blasius
- Solve a nonlinear PDE using spectral methods. Learn libraries and assess accuracy. ::: ::::
:::{admonition} 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 with demo notebooks)
- 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