To access papers behind a paywall, go to library.buffalo.edu and search there. You will be prompted to sign in, and then you'll have access to all the journals to which UB subscribes.

#1

The discovery of solitons: reproduce the results of this classic paper by Zabusky and Kruskal. Make the best pictures you can - you have much better technology than they had!

#2

Time-dependent Schrodinger equation: reproduce these quantum-mechanical scattering experiments of a particle hitting a barrier. Make the best pictures you can - you have much better technology than they had!

#3

Spontaneous spatio-temporal patterns in a chemical reaction: generate an interesting movie of a solution of this reaction-diffusion equation.

#4

Something else of particular interest to you - discuss with me ASAP.

Exam #1 Solutions |

Exam #2 Solutions |

Comprehensive Final Exam: Questions, Tuesday, May 17, 11:45am-2:45pm. Solutions |

Please write your name on the first page of what you submit to Gradescope. Thanks.

Homework #1 | due 11:59pm, Sunday, Feb 13 | Solutions |

Homework #2 (revised) | due 11:59pm, Sunday, Feb 20 | Solutions |

Homework #3 | due 11:59pm, Sunday, Feb 27 | Solutions |

Homework #4 | due 11:59pm, Sunday, March 6 | Solutions |

Homework #5 | due 11:59pm, Thursday, March 31 | Solutions |

Homework #6 | due 11:59pm, Sunday, April 10 | Solutions |

Homework #7 | due 11:59pm, Sunday, April 17 | Solutions |

Homework #8 | due 11:59pm, Sunday, May 1 | Solutions |

Homework #9 | due 11:59pm, Sunday May 15 | Solutions. |

Day 1, Feb 01 | |

Day 2, Feb 03 | |

Day 3, Feb 08 | |

Day 4, Feb 10 | |

Day 5, Feb 15 | |

Day 6, Feb 17 | |

Day 7, Feb 22 | |

Day 8, Feb 24 | |

Day 9, Mar 01 | |

Day 10, Mar 03 | Diagonalization, BVPs by shooting, Newton implementation |

Day 11, Mar 08 | Variational equations, existence theorem, multiple shooting, finite difference method |

Day 12, Mar 10 | Exam 1 |

Day 13, Mar 15 | Implementation of finite difference method for ODE BVP, error bound |

Day 14, Mar 17 | HW5, SVD, collocation |

Day 15, Mar 29 | Galerkin |

Day 16, Mar 31 | more Galerkin |

Day 17, Apr 05 | PDEs, classification of quasilinear |

Day 18, Apr 07 | Heat eqn by finite differences |

Day 19, Apr 12 | Heat eqn, Crank-Nicolson, wave eqn |

Day 20, Apr 14 | Wave eqn, FD implementation, instability, spurious dispersion |

Day 21, Apr 19 | Exam 2 |

Day -7, Apr 21 | Lax, convergence, Poisson/Laplace |

Day -6, Apr 26 | Solving Poisson: direct full, direct banded, iterative (Jacobi, GS, SOR) |

Day -5, Apr 28 | discrete Fourier transform |

Day -4, May 03 | trigonometric interpolation |

Day -3, May 05 | spectral derivative, application to advection equation |

Day -2, May 10 | Final exam review |

Day -1, May 12 | Project presentations |