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Next: Required text Up: CAS 708/CSE 700 Scientific Previous: Introduction

Topics

1.
Scientific computing, numerical algorithms, errors in numerical computing
2.
Floating-point arithmetic, roundoff error analysis
3.
Linear systems; direct and iterative methods
4.
Linear least squares; normal equations, orthogonal transformations, QR
5.
Eigenvalues and singular values
6.
Nonlinear systems
7.
Piecewise polynomial interpolation
8.
Numerical differentiation
9.
Numerical integration
10.
Initial value problems in ordinary differential equations



Ned 2019-12-09