Numerical Definition and 701 Threads

I'm a sophomore physics major and will be choosing classes for next semester in a couple of weeks. I was planning on taking mathematical methods because I've often heard that it makes a big difference going into the upper level classes but unfortunately, it isn't being offered next year. It has...

Hello, I am a PhD student in geology in need of help from a physicist! Can somebody spot the mistake in my spreadsheet? I am using an Excel spreadsheet (attached .xls) to integrate the Bethe formula in order to estimate the range (in cm) of alpha particles in quartz. I am using the version of...

I am intending to use Runge Kutta 4th order to numerically solve a system of coupled equations: \frac{d^{2}x}{dt^{2}} = K1 * x * cos(t) + ( (K2 * \frac{dy}{dt}) - \frac{dz}{dt} ) \frac{d^{2}y}{dt^{2}}= -K1 * y * cos(t) + ( (K2 * \frac{dz}{dt}) - \frac{dx}{dt} )...

Maybe I missed the numerical methods books in the textbook forum? But I'd like a few suggestions on good texts that are descriptive in implementing numerical algorithms like root-finding, numerical integration, numerical interpolation, etc. I was about to buy Numerical Recipes But I noticed...

\[2.37=\frac{1}{\sqrt{6}} \int_{0}^{x} \sqrt{\frac{e^x}{e^x-1}}dx\] please find x to three decimal point

This is actually a request, I don't know if these are the correct forums for me to post these kinds of things, but yeah. Alright. I intended to study and learn numerical methods with PDEs on my own. And sadly the only thing I can comprehend is the Liebmann method. :cry: And I got so little...

Author: William H. Press, Saul A. Teukolsky, William T. Vetterling, Brian P. Flannery Title: Numerical Recipes in C++: The Art of Scientific Computing Amazon Link: https://www.amazon.com/dp/0521431085/?tag=pfamazon01-20 Prerequisities: Contents:

a+ib=[(3+i)/(5+i)]5 Thanks.

Hi. I'm a math major but this semester I couldn't take any math class except for a stats course. I already took introductory linear algebra and calc III, which were the prereqs for the numerical analysis. However, I'm on academic probation and really need to get stellar grades next semester...

So I'm taking an applied numerical methods course this year, and we are not putting any emphasis on Matlab. Well, we do use it on homeworks and assignments, but he does not teach us more than the very basics (for, while loops, if iterations). The weird thing is that all the math we learn in the...

Hi everyone, I want to know what disciplines must I study to become an effective numerical modeler? As a numerical modeler, I expect to be able to generate numerical solutions to mathematical problems (via programming) at the same time I want to be able to explain all aspects of my...

Hi all I am trying to solve for an integral whose integrand is a derivative that has a change of variable inside of it. ∫ (dz/dx) * cos(θ) dθ between 0 and pi. I have a function for z(x), and also know the relation between of x and θ, but what I don't know is how to evaluate such...

Gauss Legendre numerical intergration The attachment file contain solved example i don't know how he subsitute and why a2=2 done disappear in the answer please expalin in details

All, I have a system of three coupled PDE and I discretized the equations using finite difference method. It results in a block matrix equations as: [A11 A12 A13] [x1] = [f1] [A21 A22 A23] [x2] = [f2] [A31 A32 A33] [x3] = [f3] where, any of Aij is a square matrix. I use...

Homework Statement Here is the problem The Attempt at a Solution I was able to draw the directional field and found which regions had a positive or negative slope. However I don't get what the question means by "Observe that there is a critical value of α in the interval 0 ≤ α ≤ 1 that...

I have a double integral: ∫∫sin^2(∏x/A)*sin^2(∏y/B)dxdy A=length along x B=length along y ranges: 0 to A(for x) & 0 to B (for y) Analytical result is: A*B/4 (unit^2) Now, I want to evaulate it numerically using trapezoidal rule. Infact, I have done it but not sure whether it is a right...

I am using An Introduction to numerical linear algebra by Charles Cullen and I'm not very satisfied with it. Kindly suggest me some alternatives. Also suggest good linear algebra book to clear up basics. finally also suggest any online study materials, lecture notes, videos regarding the...

Hello, I was just wondering if someone would be kind enough to help me with some numerical analysis questions. I am struggling through the course and am completely lost with how to do the methods. I've looked at some youtube videos and such but that doesn't help much either. I need someone to go...

Wasn't sure where to ask this but here goes: Suppose one needs to work out the area under an experimental peak using numerical integration and every data point has an error in y. How do you go about providing a sensbile error on the integrated area? My current thinking is that the error in...

Homework Statement Two beetles run across flat sand, starting at the same point. Beetle 1 runs 0.50m due east, then 0.80m at 30° north of due east. Beetle 2 also makes two runs; the first is 1.6m at 40° east of due north. What must be (a) the magnitude and (b) the direction of its second run...

Hello Forum, the numerical aperture NA of a fiber optics is given by the square root of the squared core index minus the squared cladding index. The NA indicates the angular ability to collect light from the outside of the fiber, i.e. the max semi-angle over which light will enter the fiber...

Homework Statement I need to find total distance traveled for an object using the speed profile which is the absolute value of velocity before integrating. so we finish up with the total distance travelled, rather than the final displacement from the initial position. And this is the...

Homework Statement Homework Equations Square Packing: V_f = ∏/4(r/R)^2 E=σ/ε The Attempt at a Solution E=10MPa/0.001 = 1x10^4 E_2f=? V_m=? I get stuck here, am I on the right track with this problem? I need some guidance, please!

Homework Statement Hey I Need Help With Numerical Integration: I Have Data Sets Which is Shown In The Picture Below http://imageshack.us/photo/my-images/69/numericalintegration.png/ Could Someone Use One of The Data Sets to Show Hows it Done Then i'll Do The Rest of Them Needed Answers...

Homework Statement I have this equation: y = 5(1 - e-x) and I need to find its root. Homework Equations I'm trying to go from Planck's blackbody formula to wien's displacement law by taking the derivative of Planck's blackbody formula with respect to wavelength and then setting it...

Hi, I'm a new user of this forum and i wanted to know how i can use calculus and interpolation in my projects. I'm a student in engineering and i usually do home made electronics and computer programming projects, i would like to include calculus to my projects and understand the practical side...

All, As part of my research I came up with a boundary value problem where I need to solve the following system of coupled PDE: 1- a1 * f,xx + a2 * f,yy + a3 * g,xx + a4 * g,yy - a5 * f - a6 * g = 0 2- b1 * f,xx + b2 * f,yy + b3 * g,xx + b4 * g,yy - b5 * f - b6 * g = 0 Where, ai's...

I'm interested in working out an efficient and precise numerical method to find the charge density on a conductor with an axially symmetric shape that is essentially a deformed sphere. (I have in mind something like r(\theta)=\sum \beta_\ell P_\ell(\cos\theta), where P is a Legendre polynomial.)...

Homework Statement I have a doubt about how to solve an integral and what numerical method I could use to solve it. Example A = [1,2;2,4] Contour = [0,0,1,1] r = I-mean; integral of the position where the contour is equal zero and obtaining from that positon the value Ai which is...

So I have to numerically integrate a function that is quite difficult. I could post it, but its long. Regardless, there are 5 variables I am integrating over. The first is independent. The next 4 are subsequently dependent on the integration limits of the previous. Not a big deal. something...

Hi All, A slight problem I've had with a function defined by a numerical integral. The definition is f[q_,c_,n_]:=NIntegrate[\[Beta]*BesselJ[0,q*\[Beta]]*(E^(I*c*((\[Beta] BesselK[1,\[Beta]] HypergeometricPFQ[{1},{1+n/2,1+n/2},\[Beta]^2/4]+n BesselK[0,\[Beta]]...

suppose an>0, \sumandiverges then what can we say about \sum an/1+nan I think it divergent, but I'm not sure。

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'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...

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...

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...