Numerical analysis Definition and 116 Threads

Homework Statement Use a Taylor Polynomial about pi/4 to approximate cos(42){degrees} to an accuracy of 10^-6. *To get an accuracy of 10^-6, use the error term to determine an nth Taylor Polynomial to use. Homework Equations x = 45 or pi/4, x0 = 42 or 7pi/30 cos(x) = Pn(x) + Rn(x)...

Sorry, but this is the only subject I could not pass even if I gave it my all every day and night of the semester. And I will still surely fail this subject, but as a last resort I will try to post my problem here, hoping to get solution and maybe an explanation. Sorry if some of the phrasing...

Sorry, but this is the only subject I could not pass even if I gave it my all every day and night of the semester. And I will still surely fail this subject, but as a last resort I will try to post my problem here, hoping to get solution and maybe an explanation. Sorry if some of the phrasing...

If I have a x,y table of discrete datapoints with a discrete dataset, such that delta x is not a constant, what are some of the more advanced techiques that I can use to integrate this? I remember that there were Trapezoidal rules and Simpson's rule where delta x IS a constant (and there are...

Hello, using octave when I evaluate this expression (1+1/x)*x-x, with x = 10^(15) i get as result 1.125, I didn't undesrtood why, I know that octave show 15 digits in format long so when i evaluate (1+1/x)*x i get 1e15, the last digit is not visible and it is 1, so when i do substraction i get...

Hey! I am looking at an exercise in Numerical Analysis and I got stuck. Why do we have a huge error when we substact two almost equal numbers?

Are there any uses of numerical analysis in industry (outside of financial firms)? I get the impression that a lot of industrial software has already been written and standardized so you don't really have people coming up with innovative ways to e.g. numerically solve PDEs so much as using...

Homework Statement Show f(x)=(x−2)sinxln(x+2) has f'(x)=0 somewhere on [-1,3] The Attempt at a Solution I tried using Rolle's theorem, but f(-1)≠f(3). Then I tried the mean value theorem, but didn't get 0 either.

Homework Statement In my book, for a class on numerical analysis, we are given the definition: "Suppose {β_{n}}from n=1 → ∞ is a sequence known to converge to zero, and \alpha_{n} converges to a number \alpha. If a positive constant K exists with |\alpha_{n} - \alpha|≤K|β_{n}|, for large...

Hello Everyone, Actually i would like to have a clear Explanation about Runge Phenomenon. Could you help me Please.

I need to choose one more math class to reach a full-time status for next fall. So far I am already taking Classical Mech I from Physics Dept, Analysis I and PDE from Math Dept. I hear Analysis is already time-consuming hard class and I guess PDE isn't easy either, so I am considering to...

I am struggling to understand interpolating polynomials and their errors. I have a problem off of a study guide here: http://terminus.sdsu.edu/SDSU/Math541_f2012/Resources/studyguide-mt01.pdf I understand that the composite simpsons rule is only exact for polynomials up to order 3, with error...

Why polynomials are used in numerical analysis?

Hey all, back with another question. I have the opportunity in the fall to choose 1 (maybe 2 if I'm lucky) of the following classes: Numerical analysis (undergrad numerical linear algebra, using matlab), Functional Analysis (as a directed study course with a prof), and the other is doing a...

Dear, I need few Resources to get the help for my above topic. The above topic depicts that: one image will be imposed on the other one. and we have to shown it using numerical analysis. of course significant amount of programming effort is here. But I need help regarding resources/articles...

Dear All, I need a few resources to get help with my above topic. The above topic depicts that: one image will be imposed on the other one, and we have to show it using numerical analysis. Of course significant amount of programming effort is required. But, I need help regarding...

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...

I am confused by the concept of stability and condition. As I understand it, condition is defined by how much the output changes when the input changes. But why is it linked to the problem and not the algorithm? What if I have two algorithms that calculate the same thing but in a completely...

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...

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...

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...

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...

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 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...

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 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...

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...

This isn't so much of a homework problem as a general question that will help me with my homework. I am supposed to prove that a given function is uniformly continuous on an open interval (a,b). Since for any continuous function on a closed interval is uniformly continuous, I am curious...

Homework Statement An object of mass m falls from rest at a point near the Earth's surface. If the air resistance is proportional to the velocity v^2, the differential equation for the velocity as a function of time is given by m*dv/dt = mg - cv^2 For the given paraments g = 9.81 m/s^2. m...

1. Calculate the finite Fourier transform of order m of the following sequences: a) uk = 1, 0\leqk\leqN-1 b) uk = (-1)k, 0\leqk\leqN-1 N even c) uk = k, 0\leqk\leqN-1 2. Homework Equations Uk = (1/N)\sumuke-2pi*i*k*j/N from j=0 to N-1 ; 0<=k<=N-1 Attempt: a) First thing that I tried is that...

Discrete Mathematics -- Symmetric Closure Math help in Numerical Analysis, Systems of I can't seem to find the way to approach this problem. Because it has symbols I don't know how to type here, I have attached an image here instead. Please help me if you can. Any input would be greatly...

Homework Statement Plot the following parametric curve, defined by the following two polynomials, on the interval: t \in (-1;1). What shape do you get? x(t) = 16243t^{14} + 520143t^{13} -798515t^{12} -185877t^{11} + 150142t^{10} + 256559t^9 -135331t^8 -170995t^7 + 594415t^6 + 558842t^5...

Good evening, I have a background on one-variable Calculus and I am currently self-studying Calculus from Leithold's "The Calculus with Analytic Geometry". When I finish the part about infinite series, I plan to start studying Numerical Analysis. I would like to ask what book on Numerical...

First of all, I apologize if this is in the wrong section. I would like to know what background is needed to be properly prepared for numerical analysis. I will have had calculus III (leaving C-4 left), ordinary differential equations. I'd be taking linear algebra concurrently. Also...

The amount of a uniform distributed radioactive contaminant contained in a closed reactor is measured by its concentration (c) (Becquerel/liter or Bq/L). The contaminant decreases at a decay rate proportional to its concentration; that is Decay rate(dc/dt)= -kc Where (dc/dt) is the change in...

Good afternoon, I'm willing to study (teach myself) http://en.wikipedia.org/wiki/Numerical_analysis" , which I find very interesting, and which seems to be very useful for solving Physics problems (specifically, the motion of celestial bodies). I have a background in Calculus (basically...

Please help me with this problem! I have no clue. I know how to deal with only dy/dx. But this includes dy/dx and dz/dx...:cry: Please see the attachment :) Step size h = 0.2 range x = 0 to 1 y(0) = 2 z(0) = 4 Thank you, Maya

in this page http://i40.tinypic.com/seyrys.jpg we can't see what is the pattern of finding s? what s represents? in iteration 0 s is found by sum of an and bn in the 1st 2nd and 3rd iteration its found by their subtraction in the 4th its neither ??

i know the law (fg)'=f'g+fg' but here there is epsilon and it turns to someother sign i don't know what it says. i can't understand the transition ?

how to do those tables of calculation in math lab i got sum really long formullas in other question and if ill do the itterations i will spend half a day just on that

I am supposed to write a program to decompose matrix A with PLU-decomposition. I have this text and I am trying to understand some parts of it. The text with % in front of it is in Icelandic and doesn´t matter. function [P,L,U,r] = PUL_thattun(X) n=length(X); L = zeros(n,n); U = X...

Hi all, this (probably easy) problem from numerical analysis is giving me trouble. I can't seem to get started and need some poking in the right direction. Homework Statement Consider the following claim: if two floating point numbers x and y with the same sign differ by a factor of at...

I'm just a neuroscientist, so forgive me if the answer to this question is either obvious, or the answer is that it is impossible, obviously. Basically, this image should outline the question clearly http://img713.imageshack.us/img713/2569/mathsissuefixedyxs.gif (And Y0 is always 1)Also, I...

Homework Statement Use the composite trapezoidal sum rule to evaluate I = integral from 0 to 1 of: (exp(x)-1)/x At x = 0 the integrand evaluates to 1. Select the step size h in order to guarantee an approximation error less than 10e-5. Carry out your calculation with at least 10 decimal...

Homework Statement Consider the equation y0 = Ly; y(0) = 1: **L = lamda** Verify that the solution to this equation is y(t) = e^(Lt). We want to solve this equation numerically to obtain an approximation to y(1). Consider the two following methods to approximate the solution to this...

I am picking courses for next semester and am torn between a numerical analysis class or one on Fourier series and wavelets. The n.a. course fits my schedule way better but every book and syllabus I have browsed concerning numerical analysis has seemed uninteresting--more like a branch of CS...

I'm having trouble with a sample exam question. I don't really understand the question, don't know what section of the book it relates to, and don't have any idea on how to solve it. I might be in trouble :) Can anyone provide any suggestions or guidance on how I might go about solving this...

for each of these careers: engineer, physicist, mathematician, how much numerical analysis is necessary? is just learning mathematica sufficient? or do you need at least a full class in numerical analysis?

Homework Statement take the rational function R(x)=(a+bx)\(c+dx). What does the interpolatory requirment R(xi)=yi, i=1,2,3,4 amount to? under what conditions can you find coefficients? uniquely? Homework Equations The Attempt at a Solution Let y=[y1,y2,y3,y4] and v=[a,b,c,d] and...