zip ﬁles are build such that each is self contained with all the needed matlab ﬁles and .ﬁg ﬁle (if applicable) to run each application or function from the directory created once the zip ﬁle is unzipped
Work in progress, this page is updated all the time.
No. 
ﬁle name 
depend 
zip 
description 
1 
COMPUTED TOMOGRAPHY, MATHEMATICS AND SIMULATION using Matlab 



2 
implementation of LU Decomposition and Linear Solver using Matlab 



3 
Small Matlab GUI untility to change units of a Matlab .ﬁg ﬁle. Make sure to save a copy of your ﬁg ﬁle before using, just in case. HTML 



4 
Solve LotkaVolterra 2ODE system 

5 
conjugate gradient with preconditioning solver 

6 
GUI for conjugate gradient solver 

7 
driver function for nma_CG


8 
another driver for nma_CG.m 

9 
builds ﬁnite diﬀerence A matrix for 1D laplace 

10 
builds ﬁnite diﬀerence A matrix for 1D laplace nuemman boundary conditions 

11 
builds ﬁnite diﬀerence A matrix for 1D laplace dirichlet boundary conditions 

12 
builds ﬁnite diﬀerence A matrix for 1D laplace 

13 
generate A and f for the \(Au=f\), to solve for u on 2D based on 5 points laplacian. 

14 
solves the FitzHughNagumo on unit square


15 
checks that matrix is SPD 

16 
checks that matrix is symmetrix 

17 
Class implements LaxWendroﬀ for 1D advection PDE 

18 
driver tests nma_LaxWendroﬀ class 

19 
lab4 assignment MAE121 dynamics, UC david 

20 
called by GUI to implement the numerical solution for Lab4 UC davis 

21 
script solves 2D Poission PDE on unit square using Jacobian iterative method 

22 
Solve 2D poisson PDE on unit square. Dirichlet B.C 

23 
script solves 2D poisson on unit square, zero boundary conditions, SOR method 

24 
solves parabolic PDE using explicit method 

25 
driver for nma_PDE_parabolic_explicit_rod() 

26 
solve parabolic PDE using explicit method for changing boundary conditions 

27 
driver for nma_PDE_parabolic_explicit_rod_with_rate_BC() 

28 
solve 1st order ODE using RungeKutta classical 4th order 

29 
function solves \(Au=f\) using the method of steepest descent. 

30 
implement multigrid V Cycle 

31 
implement HW3, Math 228B, advection ODE solver 

32 
draws an arrow annotation on ﬁgure 

33 
implements coarse to ﬁne grid bilinear interpolation mapping 

34 
GUI main for changing ﬁgure unit program 

35 
auxiliary function to validate boundary conditions 

36 
main GUI ﬁle for controllor simulation 

37 
main GUI ﬁle for 1D diﬀusion solver 

38 
main GUI ﬁle for lab1 MAE121, UC davis


39 
Solve ODE using EulerHeun (correctorpredictor method) 



40 
Solve ODE using EulerHeun (correctorpredictor method) 

41 
solve ODE using Eulermidpoint algorithm 

42 
evaluates string as 1D function for boundary conditions 

43 
restriction operator for ﬁne grid to a coarse grid full weight mapping on 2D 

44 
Finds initial inclincatin correction for orbit relative to a larger circular orbit 

45 
helper function for rocket design project 

46 
ﬁnd the grid norm 

47 
calculates residue 

48 
prints matrix of numerical data with headings in formatted way 

49 
helper function to generate A,b for solver 

50 
generate the A and B matrices used by the ADI solver. 

51 
This function generates one text ﬁle for each m ﬁle it ﬁnds in the same folder it is running from. For each m ﬁle it ﬁnds, it generates the text ﬁle which contains a list of the m ﬁles that the current m ﬁle depends on. This uses fdep() function from matlab central feb 13, 2012


52 
This function generates one text ﬁle for each m ﬁle it ﬁnds in the same folder it is running from. For each m ﬁle it ﬁnds, it generates the text ﬁle which contains a list of the m ﬁles that the current m ﬁle depends on. This uses fdep() function from matlab central march 1, 2013 clean up more, moved to htlatex Nov 22, 2012


53 
calculates time of ﬂight for the orbit moving from nu0 to nu. 

54 
ﬂux function for PDE numerical course, UC Davis 

55 
ﬁnd orbit parameters from the velocity and position vectors 

56 
compute the Universal Variable X for an orbit 

57 
helper function to ﬁnd index 

58 
read a numeric number from user and keeps trying untill the user types correct value 

59 
main GUI ﬁle for lab2 MAE 121 UC Davis 



60 
main GUI ﬁle for lab3 MAE 121, UC Davis 

61 
helper function to make sparse matrix 

62 
helper function to make sparse 2D matrix 

63 
generate 3D sparse matrix for poisson 3D 

64 
solve laplace PDE for rectangular region Dirclet BC 

65 
solves laplace PDE for rectangular region Dirclet BC 

66 
solves laplace PDE for rectangular region Nuemann BC 

67 
main GUI ﬁle for all my math 228 other GUI apps 

68 
implements the reﬁnement study for HW2, ath 228B UC Davis 

69 
LaxWendroﬀ to solve the wave equation


70 
solves diﬀusion problem \(u\_t + a * u\_x = 0\) using ﬁnite volume method with ﬂux limiter functions 

72 
solves 3 bars and 2 springs with IC using modal analysis
based solution 

73 
Moves probe in an orbit for deltaTime 

74 
main GUI ﬁle for orbit simulator


75 
script to plot stress diagram, plain stress 

76 
main GUI ﬁle for poisson 2D solver


77 
called by the Matlab GUI to solve equation of motion Lab 1 MAE 121 

78 
class implements the rectangular pulse used in implementation of HW3, Math 228B. 

79 
make an annotation of a rectangle 

80 
class used for doing reﬁnement study for my math 228 numerical PDE class 



81 
does one iteration relaxation, called by V cycle for multigrid solver 

82 
Nasser M. Abbasi 011212 NO ERROR CHECKING DONE ON INPUT. Rescale a matrix or a vector A 

83 
design rocket from earth to GEO 

84 
helper function for rocket design project, UCI 

85 
Solves equation 5.57 in book orbital mechanices page 96, by Prussing and Conway 

86 
design for a multistage rocket. 

87 
Solves for Mp (mass of properellent) and Ms (mass of structure) for a given one stage rocket. 

88 
Solves rocket equation for delta V, mass of properellent and mass of structure and payload 

89 
Solves rocket equation for delta V, mass of properellent and mass of structure and payload 

90 
generate the Romberg integration table 

91 
driver to test romberg integration table 

92 
runs simulation of probe starting from some position and velosity vector for some delta time 

93 
utility function, called to create a ﬁgure in middle of window 

94 
solves HW problem 4.3 

95 
Solves 2D diﬀusion PDE \(u\_t = D (u\_xx+u\_yy)\) on unit square Neumann BC using cell centered grid points and ADI schem 

96 
script to solve 2D diﬀusion 

97 
solves \(w\_t = epsilson(wgamma w)\) for problem 3, HW 2, Math 228B UC Davis 

98 
solves the reaction ODE part of the FitzHughNagumo equations 

99 
Solve poisson 2D pde on unit square zero BC using multigrid V cycle method 

100 
computes the cubic splines between any number of points. 



101 
driver for cubic splines using the improved method. 

102 
static class to make spring for plotting animations 

103 
simulation of steady state single degree of freedom system with harmonic input 

104 
driver to test ﬁndAlphaForMinDeltaV 

105 
integrate a function using trapezoidal rule using speciﬁc number of strips. 

106 


107 
auxiliary function used by other function to validate input dimensions are consistent. 

108 
auxiliary function validates input dimensions consistent for 1D only 

109 
veriﬁes string represents non negative number 

110 
verﬁes input string represents a numerical value 

111 
veriﬁes input string represents positive integer 

112 
veriﬁes input string represents positive number 

113 
zoom a gray image by factor and return new image 

114 
source ﬁle implement steepest descent 







