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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, multiprocessors, MPI, threads and tasks
  • Lecture br, Boundary reduction of equations
  • Lecture 4, Least 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 and Nonlinear Equations
  • Lecture 17, Optimization, finding minima
  • Lecture 18, FFT, Fast Fourier Transform
  • Lecture 18a, Digital Filtering
  • Lecture 18b, Molecular frequency response
  • 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 27a, Differential Equation Definitions
  • Lecture 28, Partial Differential Equations 2
  • Lecture 28a, Higher Order, Higher Dimension
  • Lecture 28d, Biharmonic PDE using higher order
  • Lecture 28b, Navier Stokes case study
  • Lecture 28e, 5D five dimensions, independent variables
  • Lecture 28f, 6D six dimensions, Biharmonic
  • Lecture 29, Review
  • Lecture 30, Quiz 3
  • Supplemental L31, Creating PDE Test Cases
  • Supplemental L31a, sparse solution of PDE
  • Supplemental L31b, Nonlinear PDE
  • Supplemental L31c, Parallel PDE
  • Supplemental L31d, Parallel Multiple Precision PDE
  • Supplemental L32, Finite Element Method
  • Supplemental L33, Finite Element Method, triangle
  • Supplemental L33a, Lagrange fit triangle
  • Supplemental L34, Formats, reading
  • Supplemental 28c, fem_50 case study
  • Supplemental L35, Navier Stokes Airfoil Simulation
  • Supplemental L36, Some special PDE's
  • Supplemental L36a, Special discretization, non uniform
  • Supplemental L37, Some Utility Functions

    • Last updated 6/8/11

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