John M. Neuberger

HMC Mathematics Department Website

Course Info, Assignments, Etc

• Spring 2005 M164 Scientific Computing Flyer
• Spring 2005 M164 Scientific Computing Syllabus
• Day One Course Material; Contains HW Assignment #1
• HW Assignment #2
• HW Assignment #3
• Project One
• q1.pdf: Blank Quiz One
• q2.pdf: Blank Quiz Two
• q3.pdf: Blank Quiz Three
• q4.pdf: Blank Quiz Four
• HW Assignment #4
• HW Assignment #5
• Project Two
• Fourier mathematica html
• HW Assignment #6
• HW Assignment #7
• HW Assignment #8
• HW Assignment #9
• q5.pdf: Take-Home Quiz Five; do all 6, due 3/22/05.
• Project Three
• q5.pdf: Blank Quiz Five
• q6.pdf: Blank Quiz Six
• q7.pdf: Blank Quiz Seven
• HW Assignment #10
• HW Assignment #11
• HW Assignment #12
• HW Assignment #13

MATLAB Scripts and Data Files

• newton1.m; First MATLAB Newton's Method Code
• readmat.m; Read a data file into a MATLAB matrix
• in2.dat; Input File for readmat.m demo
• colors1.m; Reads in2.dat, creates array, makes graphic 2 ways
• euler3.m: Euler's method
• edrive3.m: driver for euler3.m
• rk3.m: Runge-Kutta method
• rkdrive3.m: driver for rk3.m
• four.m: Fourier script w/numerical integration
• QR.m: simple QR algorithm implementation

C Codes and Data Files

• newt1.C; First C++ Newton's Method Code
• newt1b.C; Modified 'First; C++ Newton's Method Code
• in.dat; Input File for Modified 'First; C++ Newton's Method Code
• out.C: 1-Dimensional 'basins of attraction' C code; demonstrates redirection
• lapb.C: LAPACK/BLAS driver; demonstrates dynamic memory allocation
• lap.no.dma.C: LAPACK/BLAS driver; no dynamic memory allocation

STDC++: STL, Overloaded Operators

• stltest.C; Tests overloaded operators on STL Vectors
• matrix.C; Defines Vectors, overloaded operators
• matrix.h; Prototypes for overloaded operators and Typedefs for STL vectors
• stltest2.C; adds nice LAPACK call
• lapack.C; nice stl lapack wrappers
• lapack.h; Prototypes for LAPACK STL wrappers
• utils.h; cin/cout vector/matrix magic
• pow2.C; finds 2 smallest and 2 biggest evals of a matrix using the Power Method, Inverse Power Method, and Deflation.
• mat.in.txt; square, possibly symmetric, input matrix.

ARPACK Fortran and MATLAB codes
FORTRAN requires /usr/lib/libarpack.a

• dsdrv1.f; Example driver, Laplacian on Unit Square
• td.dsdrv1.f; Modified, Unit Interval, Favourite Tridiagonal Matrix
• arp_drive.m; driver with MATLAB arpack wrapper call, uses ax.m
• ax.m; Codes the action of our Favourite Tridiagonal Matrix for arp_drive.m

Gradient Newton Galerkin Algorithm
GNGA
C++/STL code for Variational Solution of
2nd order nonlinear elliptic ODE

• newt.C; GNGA code, header documents compile/link/exectution steps
• in; text file contains number of grid points, modes, initial guess coeffs
• matrix.C; Defines Vectors, overloaded operators
• matrix.h; Prototypes for overloaded operators and Typedefs for STL
• lapack.C; nice stl lapack wrappers
• lapack.h; Prototypes for LAPACK STL wrappers
• f.C; nonlinearity f and derivatives
• f.h; header file for f.C
• utils.h; cin/cout vector/matrix magic
• u.txt; sample output, for example in

MEX: Compiling/linking/executing C programs from MATLAB

• yprime.c; MATLAB's example mex file
• mhello.c; my example mex file, crashes if number parameters is wrong!

perl: sample script

• out; perl script, 'out executablefile [inputfile]', creates output file in subdirectory
• loop; perl script, repeatedly calls `out'

Hiking: 06/12/05

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