Numerical Definition and 775 Threads

Dear all, I am following Warren F. Phillips' book "Mechanics of Flight" (2nd edition) and am trying to code the numerical lifting line method outlined by him starting on page 96 of Chapter 1. I will write the code in Matlab, but what is preventing me from doing so is a few variables within...

Homework Statement I am having problems solving this system of non-linear equations in Matlab and Mathematica. a,b,c,d,e,f are all independent variables. In Matlab I use fsolve() and get one solution, in Mathematica I use NSolve[] and get another totally different solution. Mathematica...

I am a physics major and have to make a choice between either of these two papers. The numerical mathematics is at the equivalent to US senior level and the electronics paper is equivalent to US junior level. I'm quite interested in biophysics and/or medical physics for grad school but I'm not...

I'm a math major, and it's required we take Computer Science I. I've never had any experience with programming (don't really know about it). I was thinking of taking Intro to Numerical Analysis, but when I read the course description it said that some computer knowledge is required. Would it be...

A force of 5N is acting along y axis,its component along x-axis is: 5N,15N,7N,10N. Please help me in this problem as it seems incomplete to me.. F=FXCOS@,F=FYSIN@...dont know the angle as well.. The answer is 15N..

1. Homework Statement : progressive waves of frequency 300 hz are superimposed to produce a system of stationary waves in which adjacent nodes are 1.5m apart.calculate speed of progressive waves? 2. The attempt at a solution: should i use 1)v=f*λ=300m/s or 2)v=f*(2λ)=900m/s

1. Homework Statement : the excess(equal in number) of electrons that must be placed on each of two small spheres spaced 3 cm apart, with force of repulsion between the spheres to be 10^-19N, is...? 3. The Attempt at a Solution : since, f=kq^2/r^2. ive calculated q from here which is...

1. Homework Statement : Taking Earth to be a spherical conductor of diameter 12.8x10^3 km.its capacity will be? 3. The Attempt at a Solution : if Earth is to be taken as a conductor than i think following formula shall be used C=Aeo/d where A=pie r^2 but how i'll calculate...

Hi, I have faced the following question. In our lab we perform different measurements on Transistors. We program a scope and that controls the tests. For one of our tests we would like to calculate the total charge Q. Mathematically this is given by Q=∫ dt i(t), where i(t) is given by i(t)...

I just started a numerical analysis class and I'm curious: what are the advantages and disadvantages of the two methods? Do we use numerical methods in situations where getting analytical solutions is possible? If so, why? I just want a better understanding of when each method is used in...

good day all.i've just written a program in fortran77 for the model of a binary distillation column.i included a PI controller in my program.To obtain the integral term of the PI,I used the explicit euler to numerically integrate the error.i would love to compare my results using another method...

I've recently taken a basic numerical analysis course in university and the subject intrigues me so much. I know Pascal and C++ fairly well, not very good like a professional programmer, but just to tell you how good I am, I've coded several programs for numerical integration using trapezoidal...

Hi, I am thinking of taking Intro to Numerical Analysis and Real Analysis 1 course next semester, but was wondering if maybe that'll be too much of a load? Is numerical analysis a tough course? These courses will be taken alongside 2 other statistics courses and maybe a history class...

Homework Statement HOW Can i make graph from MATLAB? Applying FDM in numerical analysis I 'M Beginner in MATLAB PLZ HELP ME! you are definitely Kind Global students! The Attempt at a Solution Homework Statement Homework Equations The Attempt at a Solution Homework Statement Homework...

I have a symbolic function of three variables which I'm trying to numerically integrate wrt a single variable. Consider (syms x y a) and the function f(x,y,z). Here are some things I've tried, without success: 1. >>int(f(x,y,z),x,a,b) which analytically integrates f wrt x from a to b but...

Hello! I'm having trouble understanding the method/reasoning behind finding the root of an equation though iterative convergence. x2 - 4x + 1 = 0 x2 = + 4x - 1 x = 4 - 1/x I can understand that once we input a 'root' the equation will equal be equal on both sides. (Due to the remainder...

I have a dataset in two columns X and Y, sorted in ascending values of X. I'm trying to find its numerical derivative, however, the "noise" (it's very hard to see any noise in the dataset itself when plotted), but the noise gets massively amplified to the point where the numerical derivative...

Plz help-Numerical based on 3 parallel plates -Find the charge problem Q} Three identical metal plates with large surface areas are kept parallel to each other.The leftmost plate is given a charge Q and the rightmost plate a charge -Q and the middle one remains neutral.Find the charge appearing...

Homework Statement trying to write a program in C++ to calculate the solution of a damped harmonic oscillator and compare with the exact analytic solution. i am using the classic 4th order Runge-Kutta, which I'm fairly sure is programmed right. Homework Equations m\ddot{x} + c\dot{x}...

Hello everyone! I hope you may be able to shed light on a recent problem that i have to deal with. I keep working on a numerical solution on a heat diffusion problem. It is a numerical solution for the PDE θT/θt=a*(θ^2T/θx^2 + θ^2Τ/θy^2), that describes the heat diffusion on a two...

Hello, So I'm using a numerical method where I iteratively have to solve Ax_{i+1}=x_i which can of course be done by calculating the inverse matrix, but something in the back of my mind is telling me that it is better to solve the equation using Gaussian elimination and substitution...

In a tank there is a hole at the bottom of radius 5cm.If water entering the vessel with pipe of radius 5cm with velocity 30m/s. Find maximum height to which tank can be filled.

Does it matter how you define the error in a numerical solution?? If you define the error as numerical solution - exact solution would you be hugely wrong even if you understood what was happening (i know it's the negative of exact - numerical). I wrote a report at uni and realized i defined...

Homework Statement Two grades of paper,grade A and grade B,are produced by a paper mill.It takes 12 minutes and 24 minutes to produce a ton of these two grades of papers respectively,with corresponding profits of $20 and $50. The mill works for 160 hours in a week and has the capacity of...

An ideal gas with g =1.5 is expanded adiabatically. How many times has the gas to be expanded to reduce the rms velocity of molecules 2 times?

1. Solve y'=3t^2y^2 on [0, 3] , y0 = −1, using Euler method and Taylor method of order 3. Compare your solutions to the exact solution. y(t)=(-1/((t^3)+1)) I DONT KNOW WHAT IS WRONG WITH MY PROGRAM! PLEASE HELP =D Homework Equations http://en.wikipedia.org/wiki/Euler_method...

Homework Statement to compute 1d fdtd maxwell equation using yee algorithm with fortran 90Homework Equations 1D discretization for maxwell equation (TEM mode) : electric field vector: Ez(i-1/2,n+1/2) = Ca*(Ez(i-1/2,n-1/2) + Cb(Hy(i,n)-Hy(i-1,n) magnetic field Hy(i,n+1) = Da*(Hy(i,n) +...

I need to compute the matrix exponential of a real matrix that has no special structure (is not symmetric, positive definite, nilpotent, normal, etc...). Currently, this is the most time consuming step in my program; I need to be able to transform this matrix, I suppose, into something that can...

Hi, I wrote a piece of MATLAB code to compute a double integral of the form: \int_{a}^{b}\int_{c}^{d}f(x,y)dxdy I went about it using the trapezium rule, so what I did was apply the rule to the x variable first to obtain: \int_{a}^{b}\int_{c}^{d}f(x,y)dxdy\approx\frac{\delta...

Hi, I'm currently working on a thesis in Economics. I have stumbled upon a system of differential equations that needs to be solved. I am stuck, and have trouble getting the right help from my advisor who is also not very acquainted with numerical methods. For the past couple of days I have...

Hello, I want to solve a 4-dimensional PDE problem using some numerical code. Possibly MATLAB or Python. I have a solved a simple version of the PDE in 2D using MATLAB PDETool. Also I solved a simplified pde in 3D using FiPy library in Python. However, most MATLAB existing tools...

I intend to learn numerical simulations of collapsing stars. Could you suggest me some useful resources? i am familiar with matlab.

Homework Statement Solve the following sum: Ʃ f(0.01k) from k=1 to k=100000 where f(k) = √minimum of (1,k) * exponential(maximum of (1.5, k)*maximum of (1.5,k)) Homework Equations See above. The Attempt at a Solution /*I've written a C program to solve this problem. it compiles...

Hi all, I've been getting Mathematica to do some integrals for me, which are typically returning sums of Meijer-G functions. When I try and obtain numerical values for these sums, some of my results have contained terms which Mathematica has refused to evaluate numerically; an example is...

Hi folks, I need to evaluate (numerically) a multi-dimensional integral of the form \int_A f(x) dx. Now in my application, I already have points inside the domain A which are distributed like \frac{f(x)}{\int_A f(x) dx}. So I hoped I could use these random points in some importance sampling...

Homework Statement Assume that the application of a temperature sensor approximates 1st order conditions. The sensor has a time constant of 5 seconds and is suddenly subjected to a temperature step of 25-200°C. what temperature will be indicated 10 seconds after the process has been...

Hi, I tried to numerically integrate an equation in MATLAB using the trapezium method. Here is the code that I wrote: ao = 1; X = 0:ao/10:ao; Y = 1/sqrt((power(Ho,2)*((O_m*power(X,-1))+(O_r*power(X,-2))+(O_l*power(X,2))))-(k*power(c,2))); age = trapz(X,Y); where the values for O_m...

From http://www.lsbu.ac.uk/water/models.html, I see that are many models of water that can "explain" one or some properties of water but no model is accurate enough to explain all the properties of water. From what I understand, all models assume classical mechanics interactions...

Homework Statement Numerical integration using MATLAB m-files Find the area under the curve of: using trapezium rule Homework Equations g(x) = x^2 from x=0 to x=2 Area of a trapezium = h/2(a+b) The Attempt at a Solution

I am writing a MIPS SPIM program that will take integer input, and output the corresponding words. For example, if 123 is input, then one two three will be output. I can input an integer but I get zero repeating infinite times as the output every time. Any help is appreciated. My source...

Hi, Next year I will be a numerical methods course as part of my Mathematics minor (CS major). I want to prepare for this course in the summer. How can I best prepare for this class considering I have never used Matlab before?

need hint/help or perhaps a solution :smile: Equations are from Propeller Blade Theory. I´m trying to figure out how to determine \epsilon_i from equation 2.3.25 my first thought was to substitute sin(A+B) = sinA*cosB + cosA*sinB... it says quote: " This equation is easily solved...

Hi All, I was reading this paper the other day and I've been trying to find the numerical techniques its mentions but have been thus far unsuccessful. The authors simply state that is well know and straightforward, and they believe this so much that they don't even include a reference. Ok...

Homework Statement This problem will guide you through the steps to obtain a numerical approximation of the eigenvalues, and eigenvectors of A using an example. We will define two sequences of vectors{vk} and {uk} (a) Choose any vector u \in R2 as u0 (b) Once uk has been determined, the...

hi all I looking for physics article (direct link) to solve with Numerical analysis methods like: Euler and Heun methods; Runge-Kutta and predictor-corrector methods; systems of ordinary differential equations; boundary-value problems; finite-difference methods. wave equation; diffusion...

So, I want attend either college X or Y; I'm using variables because I don't want to expand on the college, et cetera. If I choose to attend college X, I have to take a Computational Physics class to acquire the B.S. in Physics. Unfortunately, college Y does not offer Computational Physics as...

Find upper limit of improper integral -- Numerical Integration Hi, I have the following complicated integral willing to integrate numerically. The integral is: \int _0^{\infty }x\frac{\beta^\alpha}{\Gamma(\alpha)}x^{-\alpha-1}e^{-\beta/x}dx . We know that the integral converges to...

I have to solve this ODE with numerical methods: (y^2 - 1)\frac{dy}{dx}=3y I have no initial conditions to solve it like you would normally do. I am hoping to use a numerical method (Euler... Runge Kutta) to approximate the solution. This is if I solve it using numerical methods right? So, I...

Homework Statement length: 15 cm Δlength ? diameter 1.3 cm pressure 17795 pa γ= 2.0*10^11 Nm^2 Homework Equations ΔL=γLA/F The Attempt at a Solution i could not find the answer don' know where to place pressure

I'm currently taking a course in computational physics/numerical methods. My only background in programming is very basic self-learned python (loops and not much else). We use scilab in this course and will be solving nonlinear systems of equations, numerically solving for the roots of an...