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## some of my matlab functions, GUI apps and Matlab scripts

May 27, 2022   Compiled on May 27, 2022 at 12:15am

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

 No. ﬁle name depend zip description 1 2 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 Lotka-Volterra 2-ODE system 5 conjugate gradient with pre-conditioning 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 1-D laplace 10 builds ﬁnite diﬀerence A matrix for 1-D laplace nuemman boundary conditions 11 builds ﬁnite diﬀerence A matrix for 1-D laplace dirichlet boundary conditions 12 builds ﬁnite diﬀerence A matrix for 1-D laplace 13 generate A and f for the $$Au=f$$, to solve for u on 2D based on 5 points laplacian. 14 solves the FitzHugh-Nagumo on unit square 15 checks that matrix is SPD 16 checks that matrix is symmetrix 17 Class implements Lax-Wendroﬀ 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 Runge-Kutta 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 Euler-Heun (corrector-predictor method) 40 Solve ODE using Euler-Heun (corrector-predictor method) 41 solve ODE using Euler-mid-point 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 Lax-Wendroﬀ 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 multi-stage 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 $$w\_t = epsilson(w-gamma w)$$ for problem 3, HW 2, Math 228B UC Davis 98 solves the reaction ODE part of the FitzHugh-Nagumo 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