Numerical computation with functions

FOMCON toolbox for MATLAB is dedicated to fractional-order modeling and control of dynamic systems.

Spline toolbox for the definition, evaluation and visualization of spline curves and surfaces based on standard B-splines

Métodos numéricos.

Very simple to use and robust method that takes array inputs, so it even has advantages over fzero.

Finds points inside multiple polygons, holes possible.

Harris Hawks Optimizer (HHO) is a novel meta-heuristic optimization paradigm for global optimization

Computes the B-spline approximation from a set of coordinates. Supports periodicity and n-th order approximation.

Determine parameters of a noisy sine function

Multi-Dimensional Bisection Method (MDBM) finds all the solutions/roots of a system of implicit equations efficiently.

Codes and other resources for the textbook Fundamentals of Numerical Computation.

Examples showing how to use TopoART neural networks from MATLAB.

Interactive courseware module that addresses the fundamentals of numerical integration taught in mathematics courses.

1D scalar equation of convective-diffusion transport with piecewise linear approximation

Contains classes to represent reference atmospheric models and USER-DEFINED units, and saved object representing Indian Reference Atmosphere

IA2RMS is an adaptive MCMC algorithm, for drawing samples from univariate target distributions.

For a specified absolute error tolerance, reduce a 1D dataset for use with linear interpolation (interp1) in MATLAB.

The Recursive Zonal Equal Area (EQ) Sphere Partitioning Toolbox is a suite of Matlab functions for partitioning and point distribution on mu

An Efficient Optimization Algorithm Based on Runge Kutta Method

A new stochastic optimizer slime mould algorithm (SMA): https://aliasgharheidari.com/SMA.html

This function solves the burgers equation using the Linearized Crank-Nicholson scheme.

Apply the Finite Element Method to solve and visualize displacement fields over EDGE, QUAD, and HEX elements in 2- and 3-dimensions.

Computes the i-th Picard iteration approximation to the solution of the differential equation y'(x) = f(x,y).

This function solves a function using the Thomas algorithm

Compares two classic methods of computing the value of pi.

Lists the first few rational approximations to the square root of n.

Accelerated Orthogonal Least-Squares (AOLS) algorithm

Linear regression using: Direct Method, Inbuilt function, SGD Method

Computes intersection points of two curves.

Least squares spline modeling using shape primitives

A comparison demo of three techniques for integral calculation : rectangles technique, trapezia technique, and Simpson technique.

polynomial regression calculation

Compression of Motion Capture Data (ASF/AMC format) using Discrete Wavelet Transform

Finds the feasible region from a set of constant, linear and nonlinear inequalities

这是一套简单的utilities that allow for efficient approximation of complex functions in a

Polynomial modeling in 1 or n dimensions

Generate evenly spaced points along an existing curve in 2D or 3D.

To find the x values where f(x) = 0 when f(x) is not available as an analytic function of x.

A set of functions to calculate a nurbs curve

A free curve fitting toolbox for Matlab

Model 2-d surfaces from scattered data

Neural Network with Backpropagation - Function Approximation Example

Approximation of data using cubic Bezier curve least square fitting

Fit a piecewise polynomal, i.e. ppform, to points (x,y) using fixed breaks

Fit ellipses to 2D points using linear or nonlinear least squares

Numerical computation with functions

This is a metaheuristic algorithm: Novel Bat Algorithm (NBA), proposed by Xian-Bing (2015)

Numerical Volterra Equation Solver

Smooth noisy time-series faithfully, without distorting lower-order time-derivatives

this function approximates e-Euler's number

Multidimensional interpolation supporting integer inputs without converting to double

Newton-Raphson method for all real roots of the polynomial.

Produces a smooth surface from scattered 3D input data.

some useful spherical harmonics routines

Approximate the reverse transfer function polynomial coefficients

Expresses one image in terms of an SVD decomposition of another one

Lagrange polynomial interpolation

An exact implementation of Orthogonal Matching Pursuit (OMP) as described by the pioneer Y.C. Pati

Polanomial approximation, polynomials as admissible functions, a comprehensive tutorial.

vebyk performs ordinary kriging and can be easily adapted to other kriging methods.