Scientific Computing#

Course notes from AMATH 581 at the University of Washington, Seattle. Supplemented with the official AMATH 481/581 lecture notes by Prof. Bamdad Hosseini.

Table of Contents#

• ODEs, PDEs, and the Need for Numerical Methods
• IVPs and BVPs
• Euler’s Methods for Solving IVPs
• Extension to Nonlinear Systems of ODEs
• Accuracy
• Order of Convergence of Forward Euler and the Lax Equivalence Theorem