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CS455 Selected Lecture Notes

 These are not intended to be complete lecture notes.
 Complicated figures or tables or formulas are included here
 in case they were not clear or not copied correctly in class.
 Source code may be included in line or by a link.


 Lecture numbers correspond to the syllabus numbering.

Contents

  • Lecture 1, Introduction, Overview, Numerical Errors
  • Lecture 2, Rocket Science
  • Lecture 3, Simultaneous Equations
  • Lecture 3a, Case Study, Matrix Inversion
  • Lecture 3b, MPI multiprocessors
  • Lecture 4, Lease Square Fit
  • Lecture 5, Polynomials
  • Lecture 6, Curve Fitting
  • Lecture 7, Integration
  • Lecture 8, Integration
  • Lecture 9, Review 1
  • Lecture 10, Quiz 1
  • Lecture 11, Complex Arithmetic
  • Lecture 12, Complex Functions
  • Lecture 13, Eigenvalues of a Complex Matrix
  • Lecture 14, LAPACK
  • Lecture 15, Multiple precision, bignum
  • Lecture 16, Finding Roots
  • Lecture 17, Optimization, finding minima
  • Lecture 18, FFT, Fast Fourier Transform
  • Lecture 18a, Digital Filtering
  • Lecture 19, Review 2
  • Lecture 20, Quiz 2
  • Lecture 21, Benchmarks, time and size
  • Lecture 22, Project Discussion
  • Lecture 23, Computing Volume and Area
  • Lecture 24, Numerical Differentiation
  • Lecture 25, Ordinary Differential Equations
  • Lecture 26, Ordinary Differential Equations
  • Lecture 27, Partial Differential Equations
  • Lecture 28a, Additional Differential Equations
  • Lecture 28b, Navier Stokes case study
  • Lecture 28, Partial Differential Equations
  • Lecture 29, Review
  • Lecture 30, Quiz 3
  • Supplemental, Creating PDE Test Cases
  • Supplemental, Finite Element Method
  • Last updated 3/24/07

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