Home Site Statistics  |   Contact  |   About Us       Monday, July 13, 2020   

Pj0182295- Back to Home



Skip Navigation Links.

   Skip Navigation LinksHOME ›  AREAS OF EXPERTISE ›   Special Functions  ›  ~ Hermite Method


"Special Functions"
Hermite Polynomial Method
Results =



Order of Hermite Polynomial:
Entries:



[ Initial Order of Hermite Polynomial: {20) ]
[ Initial entries number: {7} ]

IMPLEMENTATION
Hermite Polynomial Method

The Hermit polynomials are defined by:

Hn(x) = (-1)n ex 2 dn / dxne-x2

The first three Hermite polynomials are:

H0(x) = 1
H1(x) = 2x
H3(x) = 4x2 - 2

The Hermite polynomial satisfy the following recurrence relation:

Hn + 1(x) = 2xHn(x) - 2nHn - 1(x)


Testing the Hermite Polynomial Method

To test the Hermite Polynomial method, a new static method has been added. The implementation of these type of polynomials are based on their recurrence relation. The TestHermitePolynomial() method has been written, added and executed:

           static void TestHermitePolynomial();
              {
                 for (int i = 0; i < t2; i++)
                 {
                     double x = 1.0 * i - 1.0;
                     ListBox1.Items.Add(" x = " + x + ".00, " + "H" + t1 + "(x) = " + SpecialFunctions.Hermite(x, t1).ToString());
                 }
              }



Other Implementations...


Object-Oriented Implementation
Graphics and Animation
Sample Applications
Ore Extraction Optimization
Vectors and Matrices
Complex Numbers and Functions
Ordinary Differential Equations - Euler Method
Ordinary Differential Equations 2nd-Order Runge-Kutta
Ordinary Differential Equations 4th-Order Runge-Kutta
Higher Order Differential Equations
Nonlinear Systems
Numerical Integration
Numerical Differentiation
Function Evaluation





Consulting Services - Back to Home
Home

Home Math, Analysis,
  expertise..."

EIGENVALUE SOLUTIONS...
Eigen Inverse Iteration
Rayleigh-Quotient Method
Cubic Spline Method

 

Applied Mathematical Algorithms

Home A complex number z = x + iy, where...

Complex Functions
Home Non-linear system methods...

Non Linear Systems
Home Construction of differentiation...

Differentiation
Home Consider the function where...

Integration
 
About Us

KMP Engineering is an independent multidisciplinary engineering consulting company specializing in mathematical algorithms.

KMP Website >
Site Statistics >
Contact Us

KMP ENGINEERING
2461 E Orangethorpe Ave Fullerton, CA 92631 USA info@keystoneminingpost.com
Site Map

> Home
> Areas of Expertise
> Reference Items
> Managed Services
> Login

Mining & Software Engineering

Home
Since 2006 All Rights Reserved  © KMP Engineering LINKS | PRIVACY POLICY | LEGAL NOTICE