Numerical methods Definition and 97 Threads

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?

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...

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 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...

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

Consider a new computer system which stores data in “quads”, i.e. it has four states 0, 1, 2 and 3 (as opposed to binary which has only two, 0 and 1). Now imagine that numbers are stored in a 12 quad format where there is one quad for the sign of the number, three quads for the exponent...

I have a function with one and only one local/global maxium... (i.e. half the function has positive slope, half the function has negative slope). And I want to find the maximum point on the function. How can I find the function's max? I was thinking of turning the function into its...

Homework Statement Consider the implicit (not actually sure wether that's the correct english word, my material is in Finnish and I'm Swedish-speaking :smile:) method xj+1=xj+h/2(f(tj,xj)+f(tj+h,xj+1)) a)Write an appropriate Runge-Kutta scheme b) What is the methods rank when we use the...

Please anyone help me with stability proof this next numerical method \dfrac{u^{n+1} - u^{n}}{\vartriangle t} = (u^{n+1}u^n)I am trying make : \begin{equation*} \begin{split} u_2^{n+1} - u_1^{n+1} & = \displaystyle\frac{u_2^{n}}{1-\vartriangle tu_2^{n}} -...

Sorry for the wordiness of the thread title. Basically I'm wondering, if you have two implicit functions, F(x,y)=0 and G(x,y)=0 (typically rational functions with numerator and denominator very high degree polynomials), both dependent upon the same K (in my case > 34) dimensional set of...

some one help me to solve these questions. 1. The order of convergence of Newton-Raphson Method is a) at least one b) at most two c) at least there d) four e) none of these. 2. Newton-Raphson Method fails to find the root of f(x)=0 if: a) f'(x) > 0 b) f(x)< 0 c) f'(x) = 0 d) f'(x) <0...

Hello to all I've been wondering about the skills needed for doing a research degree. I've been looking at the Matlab language recently and it seems somewhat similar to Java. Is Java just as easy to use as Matlab for doing numerical methods? I'd be interested in hearing your views. Thank you...

Im using the c programming language and just wanted to ask a quick question. In a while loop how do you make the program terminate by printing a value or a message here's my code while ((fabs(func(x))>epsilon)) { if(deriv(x)==0) { print the last value of x and stop the whole program} else {...

Homework Statement Solve the differential equation \frac{dy^2}{dx^2}=xy^2-2yy'+x^3+4 where y(1)=1 y'(1)=2 by means of the Taylor-series expansion to get the value of y at x=1.1. Use terms up to x^6 and \Delta x=0.1The Attempt at a Solution I'm unsure as to how I should go about...

Hey everyone, I hope this is the right place to put this. I was wondering if you could answer this question. Basically, I'm having trouble with my Numerical Methods course. The only college-level math course I took before this was the Calculus 1 course. I'm wondering if because I hadn't yet...

Hello there, I am taking a Numerical Methods course & i had a lecture today when we did an example on the 3-point formula to approximate the 1st derivative of f. the example included 4 given x's with their images by f. & we had to get all the images for the 1st derivative of f. so we...

where could i find the pseudocode for Newton raphson's method according to the MATLAB program??

hello, i'm wondering is there any review of most used methods in magnetostatics? and also if there are analitical solutions of distibution of magnetic field in cylindricall coordinates for: current loop, solenoid, current flown cylinder, coaxial cable and magnetic buffer (protection)...

Homework Statement I have a function that attempts to imitate the internal forces of the cord used for bungee jumping. I have been told to resolve it using Runge-Kutta 1st order numerical aproximation, therefore i have to reduce it to a system of equations. The preffered Runge-Kutta method...

Hi all. I need a book on advanced numerical methods (note: methods, not analysis) suitable for an undergrad. I have already had a first course in numerical methods, the usual one an undergrad takes. The topics the book needs to cover is: Finite difference, finite elements and spectral...

Hi guys, I'm finishing up a term project in a numerical analysis course, and one of the last things left that I need to do is provide a brief survey of the methods used by modern researchers to solve the 2-D wave equation initial boundary value problem. My group solved this equation for an...

Hi, I have to solve (using numerical methods) fallowing problem: there are for example three pointed bodies in 2D. I have to find trajectories of their motions in their own gravitational field. In cartesian coordinates for each body and direction I write equation of motion (that gives me system...

does anyone know a good book that will help with 'Numerical Methods' at university level? thank you

Hi all. Can someone briefly explain the difference between finite difference methods and spectral methods? What are their principles? And what is pseudo-spectral method?

I need 1 of the following 2 Numerical Methods books. Can anyone advice me which one do you think is best? Numerical Methods for Engineering Application, 2E Joel H. Ferziger ISBN 0471116211 John Wiley & Sons Numerical Methods, 3E J. Douglas Faires, Richard L. Burden ISBN 0534407617...

Hello, Any ideas on how one would go about attempting to solve this set of equations (for x and y and lambda) without numerical methods. Is it possible, even just to get a approximate solution? Is a set of two 2nd order DE's, \ddot{x} - \dot{x} + xy/R - y^{2} tan(lambda) -...

Can anyone tell me what is the equation for First Order of Newton’s Interpolation? The one of Interpolation I know is Lagrange’s Interpolation such as p(x)= \frac {x-x1}{x0-x1} f(x0) + \frac {x-x0}{x1-x0} f(x1) and so on ... Thanks in advance

Can anyone here give me the examples of most test problems of Numerical Methods in the Mid and End of semester at undergraduate level? What is the most test problems of Numerical Methods in the mid and end of semester at undergraduate level that probably must come out in the test? I am...

a "C" problem is anybody aware of numerical methods in C language... numerical methods include Newton-Raphson method,Euler's method,Milne's method,Newton's forward and backward implementation,Gauss divergence backward and forward interpolation. pls help me,i will b so thankful 2 them who...

When Newton wanted math to express his physics he invented calculus (i'm not trying to be totally historically correct - this isn't my main point). It seems like today we're in a similar position - there're lots of things that simply can't be exactly solved. are numerical methods the next...

Hello all, This is my first post... I am trying to make a code to numerically solve a problem, which is a heat conduction problem (temperature) in a moving slab (in y-z plane) with a source term in it: A(dT/dy)=(d2T/dy2 + d2T/dz2) + B dT/dy=0 at y=0, T=given at y=0, boundary...

Can anyone point me to a website or set of notes that I could read up on the topics of this course? course includes: solving for the roots of algebraic and transcendental equations, solution of simultaneous linear equations, least-squares curve fits to data, interpolation, numerical...

I have a quick question. For a project that I'm doing, I need to numerically solve systems of nonlinear differential equations. Can anyone suggest a numerical method which I could code as a short C program? Thanks.

Hi all! I am coming back here after a long time. Last time I got the answer I was looking for, here. I hope that I will find it again. I need the possible numerical methods for solving the following PDE: Its a nonlinear parabolic boundary value problem. I want a very stable algorithm as...

I am a geology major interested in groundwater modeling. Currently taking ordinary differential equations, and I'll be in a computational numerical methods course for engineers next fall. Here is the course description.. "Introduction to numerical methods for environmental engineering...

Any recommendations? The books I have are very outdated. Extremely important to me are: - worked examples #1 criteria. Need that bridge between theory and implementation. - not overly heavy on theory (don't want to hire a PhD to explain it). I have an MS Engineering level education...

On the piece of paper handed out in class please write a number between 0 and 100. The winner is the one who comes closest to 2/3rds of the average of numbers written by the students of the class. Question: What number should you write?

Has anybody got the source code in C++ for cubic spline interpolation?Need for my lab..

given five points of a function one can approximate the derivate of the function at some point. The standard five point formula is Derive an O(h^4) five point formula to approximate f'(x0) that uses f(x_{0}-h), f(x_{0}), f(x_{0} +h),f(x_{0} +2h),f(x_{0} +3h) . (Hint:Consider the...

The data \below gives the list of values for f(x) = e^{0.1x^2} Approximate f(1.25) by using H5 (1.25) and H3 (1.25) wqhere H5 uses nodes x0 =1, x1 =2, x2 = 3. and H3 uses nodes x0=1, x1 = 1.5 Find error bounds for those approximations this questio nand its data table is given in question...

The following 2 page example illustrates the use of the Newton-Raphson technique for solving for roots of functions. Examples included: 1. Function in a single variable 2. System of non-linear equations

Find intervals containing solutions to 4x^2 - e^x = 0 well someone suggested i sketch the graphs of 4x^2 and 2^x but I am not sure on how to go past that point... All i have to do is find the intervals so do the intersection point(s) of these two functions indicate the intervals where the...

Find the intervals containing solutions to the following equation 4x^2 - e^x = 0 I haven o clue on where to start really? WOuldi expand e^x using taylor series? i mean one could do this x - 2ln x = ln 4 so then would i do log expansion by taylor series? Or would i use bisection...

Not a hard question really.. Using 3 - digit arithmetic calculcate 4/5 + 1/3 and compute the relative error 4/5 + 1/3 = 17/15 chopping 4/5 = 0.800 and 1/3 = 0.333 0.800 + 0.333 = 1.133 (chop) 1.13 im assuming that after this point there is no chopping relative error aboslute value of...

Numerical Methods Help! I have been trying to understand the differences between Finite-Difference Time-Domain (FDTD), Finite Volume, and the Finite Elements methods of solving Maxwell's equations numerically. I have used the FDTD method for solving Maxwells Equations. I did this without...

I feel so embarrased asking this question, but this is the place to get answers. I have a 2nd order ODE with a forcing function that needs to be manipulated and put into a matrix for a numerical method solution, ie Matlab. My question is: Is the matrix composed of a particular solution in the...

I understand that one can use numerical methods to solve a derivative or integral that can't be solved analytically. What are some simple examples of physics Diff Eqs and/or Integrals that can only be solved using numerical methods?