Numerical Definition and 701 Threads

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...

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...

Hi all, I am trying to construct a numerical solution to the following linear harmonic problem posed in a wedge of interior angle 0<\alpha<pi/2 \bigtriangledown^2\phi(r,\theta), \ r>0, \ -\alpha<\theta<0 \bigtriangledown\phi\cdot\mathbf{n}=0, r>0,\ \theta=-\alpha...

Would anyone please suggest the best numerical method for integrating complicated integrands and singular functions? I find that Gauss quadratures are suggested by many references but I can't find a method to obtain the abscissas and weights for a general function.

I am trying to solve the potential barrier problem numerically in Mathematica I am giving the following command but it is showing error which i could not figure out a = 2; s = NDSolve[{y1''[x] + k1*y1[x] == 0, y2''[x] + k2*y2[x] == 0, y3''[x] + k1*y3[x] == 0}, {y1[0] == y2[0], y2[a] ==...

Help! Numerical integration in matlab So (assuming the period in a damped harmonic oscillator is constant, because it is right?) I have been asked to find T= 2* (integral from x1 to x2 of(1/v_num)dx) where x1 and x2 are two consecutive extrema (?? not sure what he means with this, i supossed...

Hi I have two general questions regarding a lens and its numerical aperture: 1) From this picture http://en.wikipedia.org/wiki/File:Numerical_aperture_for_a_lens.svg (from the Wiki-article http://en.wikipedia.org/wiki/Numerical_aperture) it seems to me that there is a propotionality between...

Hi guys, I'm currently in computer science program and I have an urgent feeling that I need better exposure to math. I have taken Discrete Math, Calculus i, ii, iii and I've independently studied linear algebra. I guess my concern is lack of differential equations and numerical methods. In...

Hey guys, I'm currently in a 2nd year Honors Physics program & I need to decide within the next ~2 weeks which of these two classes to take. Either Linear algebra II or Numerical Analysis. Heres are course descriptions as given on my Universities website Linear Algebra II Vector space...

I'm working on a little project that involve some mechanical modeling. So, I wrote a little c program to do some numerical differentiation and integration. I'm using a slight twist on the central difference algorithm for the differentiation and a standard trapezoid algorithm for the...

any suggestions for a nice book regarding numerical methods in c?

Hallo, \Gamma(t) is a function that i can know only at dicrete points and appears in this integral: \int\Gamma(t) * tan (\Gamma(t)*t + \varphi) My question is now, which could be the best interpolation of \Gamma(t) that would allopw an exact integration? Thank you very much in advance

Hi! I'm trying to implement an implicit scheme for the continuity equation. The scheme is the following: http://img28.imageshack.us/img28/3196/screenshot20111130at003.png With \rho being the density, \alpha is a weighing constant. d is a parameter that relates the grid spacing to the...

I have a system of non-linear coupled PDEs, taken from a paper from the 1980s which I would like to numerically solve. I would prefer not to use a numerical Package like MatLab or Mathematica, though I will if I need to. I would like to know if anyone knows how to solve non-linear coupled...

Hi! I'm implementing a scheme to solve the following equation \frac{\partial \psi}{\partial t}=-c_{s} \cdot \frac{\partial \phi}{\partial x} \frac{\partial \phi}{\partial t}=-c_{s} \cdot \frac{\partial \psi}{\partial x} c_{s} is just the isothermal velocity of sound. The equations are for a...

Could someone please direct me to a good book/article that describes how to use a coarse and fine spatial mesh with the numerical method of characteristics? Thank you. Kate

Hello guys, I have some experience with numerical methods and simulating various physical phenomena. Recently i was searching for a new research problem where i can do numerical studies and which can lead to a research paper. Do you guys have any suggestions?

I have doubt in MATLAB How to integrate exp(x)*erfc(x) ? in MATLAB The warning msg it is displaying is : EXPLICIT integral could not be found

Hi I don't have idea about solving it, If anyone can give me a descriptive answer or solve it for me, it'll be appreciable The flywheel of a prototype car engine is under test. The angular position θ of the flywheel is given by θ = (3.0rad/s3)t3 and the diameter of the flywheel is 36cm...

A worker pushes 25Kg crate a distance of 5m along a level floor at constant velocity by pushing horizontally on it. The coefficient of kinetic frication between the crate and the floor is 0.23...

Homework Statement Consider the second order wave equation u_{tt} = 4u_{xx} There are initial and boundary conditions attached, but I'm less concerned with those for the moment. I think I can figure those out if I can figure out where to get started. Rewrite this as a system of first order...

Hi everyone, I am finishing my second year of masters in France on theoretical physics and I am really really motivated in pursuing into a PhD. The topics that interest me the most are lattice QCD and numerical relativity (I want to focus on numerical methods). Also, I would like to work on one...

Homework Statement Some tourists return to the same country several times in the same year. In 2000, it was noted that 80% of tourists made a single trip to the country, 15% came twice, and 5% came at least three times. How many individual tourists visited Italy in 2000. (Table shows...

Hi all, I need to use some numerical simulation programs. The source code is provided in Fortran 90 but I'm not able to compile it. I'm using G95 complier on WinXP, and the code are avilable at the following address: http://www2.fz-juelich.de/jsc/splim/ Could you provide any step by...