Numerical Definition and 775 Threads

2+2=4 4+4=8 142+468=621 3762+8271=? driving me crazy

Hello there, I've not been here in a while, but I'm stuck doing this integration and wondered if some of you kind people would help :smile: \int_0^\infty \frac{1} {(1+x)\sqrt{x}} dx (appologies for the lack of spacing in there...) anyways, I know that when x tends to infinity, the...

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 need help with this numerical simpsons rule problem x y 16 -5 17 1 18 3 19 -3 20 -5 21 6 22 -8 Use the table to estimate the value of the integral y from the interval 16 to 22 the problem i am having is how many subdivision to make and how to...

I have a dobut,can a complex integral be evaluated by using numerical analisis?..for example the integral LnR(s)/R(s) where R(s) is Riemann Zeta function with the limits (c+i8,c-i8) i would use the change of variable s=c+iu so the integral becomes a real integral with the limit (-8,8) now how...

Hello, I have to do a proof and am having trouble starting. The proof is to show how you could use Cholesky decomposition to determine a set of A-orthogonal directions. Cholesky decom. means I can write the symmetric positive definite matrix as A = GG' The textbook gives a way...

e^{-2 \lambda}(2r \lambda_r -1) + 1 = 8 \pi r^2G_\Phi(r,\mu) e^{-2 \lambda}(2r \mu_r +1) - 1 = 8 \pi r^2H_\Phi(r,\mu) where G_\Phi(r,\mu) = \frac{2\pi}{r^2}\int_{1}^{\infty}\int_{0}^{r^2(\epsilon^2-1)} \Phi(e^{\mu(r)\epsilon,L}) \frac{\epsilon}{\sqrt{\epsilon^2-1-L/r^2}}dL...

I'm need to use Microsoft Excel as a numerical analysis tool for classical mechanics physics problems. Yes, I know there are dozens or hundreds of other tools that would be more powerful, but I (and my students) are required to see what they can do with Excel. The Class: Analytical...

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've just got my final year project assigned. It has to do with a numerical simulation of a Ram Accelerator device. Well, apart of having doubts, which I will post just here proximately, I would want to know some website to learn more about that type of device. Apart of Google sites...

Hi Everybody, Does anybody know how to solve, analytically or numerically, the following differential equation : \frac{d^2\Phi}{dx^2}-a.Sinh(\frac{\Phi}{U_{th}})=-b.Exp(-(\frac{x-x_{m}}{\sigma})^2}) The unknown function is \Phi. a and b are some strictly positive constants. q\Phi is...

I am performing the numerical integration of finding the area of 1/x dx from 0 to 2... using Simpson's rule of n = 6. What will I do in this problem like this since 0 to be evaluated in the f(x) = 1/x is undefined?

I'll be taking Numerical Analysis in the fall and I honestly have no idea what it's about. Can anyone tell me what the main topics in Numerical Analysis Are? Thanks.

i found this in my wandering in google: http://pdg.cecm.sfu.ca/~warp/papers/essay/essay.html can someone explain to me this approach of quantum gravity in simple terms? i think it has to do with simulations of quantum gravity at the Planck level, am i correct?

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?

Forum, I'm seeking for a good textbook on numerical celestial mechanics. My current level of proficiency is: 1- understanding of classical mechanics is at the level of Goldstein's textbook 2- understanding of numerical analysis is at the level that I can easily pick up an algorithm from the...

Best numerical technique? I've recently used Simpson's (1/3) rule for the numerical solution of the 'intersecting cylinders' problem. I've found that it isn't too accurate no matter how many intervals I take (I have even taken 1000,000 intervals!), but still end up with some error. I'll...

I have been doing a simulation of Blasius equation: F'''+FF''/2=0 with F(eta) where eta is a similarity variable eta=(y-1)/(x^(1/2)) F'(0)=1 u(y=1,x<<1)=1 F(0)=0 v(y=1,x<<1)=0 F'(infinite)=0 u(y=infinite, x<<1)=0 You...

I've got a horrible system of 8 coupled differential equations: \frac{\partial}{\partial t} N_0=-R_{0,2}N_0Y_1+\sum_{j=1}^5W_{j,0}N_j-C_{0,1}^{4,2}N_0N_4 \frac{\partial}{\partial t} N_1=-R_{1,3}N_1Y_1-W_{1,0}N_1+W_{2,1}N_2+W_{4,1}N_4+C_{0,1}^{4,2}N_0N_4 \frac{\partial}{\partial...

I'm writing a vehicle physics engine and am using an RK4 integrator which I wrote. But I am having huge problems with angular motion. Long story short I thing it might be to do with the fact that I'm integrating from accelerations. So I'm re-writing the integrator using momentum. However I'm...

How do mathematicians figure out the numerical values of sines and cosines? I can figure out how to evaluate sin(pi/12), sin(pi/24), sin(pi/48), etc, using sin(pi/6) and half angle formulas. How would I find sin(pi/5), for example? Is there any way other than infinite sums to express the...

For those of you familiar with numerical modelling of various phenomena, you will know about work like the various discretisation schemes, stability/gradient limiters for high order schemes and so on. The most broad sweeping improvement to the field of numerical modelling would ultimately be...

Does anyone have a program for numerical integration in fortran??

Prompt please where it is possible to find algorithm of the numerical decision of stochastic Shrodinger equation with casual potential having zero average and delta – correlated in space and time? The equation: i*a*dF/dt b*nabla*F-U*F=0 where i - imaginary unit, d/dt - partial...

In fact for multiple integrals ..i know that montecarlo methods are used..but can these be generalized to get a infinite dimension integrals.. (integration over R**n where n tends to infinity)..can be they generalized to fractional dimensional integration?..(integraton on R**d with d not an integer)