Numerical analysis and gaussian quadrature

Assignment Help Mathematics
Reference no: EM13123950

A function of two variables f(x,y) is integrated over the square [0,2] x [-1,1]. ex: integral from 0 to 2 , integral from -1 to 1 f(x,y) dx dy. (I wanted to input integral symbols there but didn't know how). Build a 25- point numerical integration scheme based on 5- point Gaussian quadrature in the x and y directions. Specify the quadrature points and the summation weights.

Note: f(x,y) is not given meaning it may be any function of 2 variables over the square [0,2] x [-1,1]

Reference no: EM13123950

Questions Cloud

Non-linear ode systems : Show that if we change the IVP to x(0) = 1, the same system , that is x' = 3 x^2/3, still has a unique solution on the interval ( minus infinity, plus infinity).
Audit of cash-part of the audit : Why is the audit of cash an important part of the audit? why is the cash account important to the decisions of investors and creditors?
Fourth-order ordinary differential equation : I wish to find the general nontrivial solution to the fourth order ODE with boundary conditions
Determine spanning sets for each of the four fundamental : The answer to Spanning sets, Determine spanning sets for each of the four fundamental subspaces associated with the matrix
Numerical analysis and gaussian quadrature : A function of two variables f(x,y) is integrated over the square [0,2] x [-1,1]. ex: integral from 0 to 2 , integral from -1 to 1 f(x,y) dx dy. (I wanted to input integral symbols there but didn't know how).
Find best formulation of the null hypothesis : In a two-sided hypothesis test to see if the average accounts receivable has changed, the best formulation of the null hypothesis is?
Condition for a linear subspace : Let A be a real n x n matrix. Show that a linear subspace E of R^n is A-invariant if and only if E is e^{tA} -invariant for all t in R, where e^{tA} is the exponential matrix associated to A.
Non-hyperbolic equilibrium points of non-linear system : For what values of k is the origin a hyperbolic equilibrium point of the system ? In this case, classify it as a sink, source or saddle. For what values of k is the origin a Non-hyperbolic equilibrium point of the system ? In this case, determine..
Evaluation of students to these financial measures : Should college professors limit their evaluation of students to these “financial” measures? Do you see any potential benefits or disadvantages of including other measures of student performance in assigning course grades?

Reviews

Write a Review

Mathematics Questions & Answers

  Questions on ferris wheel

Prepare a Flexible Budget Gator Divers is a company that provides diving services such as underwater ship repairs to clients in the Tampa Bay area.

  Logistic map

This assignment has two question related to maths. Questions are related to bifurcation cascade and logistic map.

  Finding the probability of cards

This assignment has questions related to probabiltiy.

  Systems of ode

Find all the xed points, and study their stability and Draw the phase portrait of the system, as well as the graphs of the solutions in all relevant cases.

  Derive the boolean expression

Derive the Boolean Expression and construct the switching circuit for the truth table stated

  System of equations

Evaluate which equations are under-identified, just-identified, and over-identified.

  Linear programming problem

Linear programming problem consisting of only two constraints with one objective function.

  Find the natural domain

Find the natural domain of the given functions.

  Introduction to numerical methods

Compute the coecients of the polynomials using the term recurrence relation.

  Chart of the topological manifold

De?nition of smoothness of functions on a smooth manifold is chart independent and hence geometric.

  Mathematics in computing

Questions related on mathematics in computing.

  Complex problems

Complex problems

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd