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updated 2 days ago

Chebfun by Chebfun Team

Chebfun is an open-source package for numerical computation with functions to 15-digit accuracy (approximation, interpolation, quadrature)

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updated 3 days ago

WaveBox by Dan Martinec

A set of functions for numerical simulations of travelling waves in a multi-agent system. (simulation, multiagent, irrational)

approximate_BTF(ol_tf_front, ol_tf_rear, option_BTF, opti...

approximate_WTF(ol_tf, option_out, tim)

decompose_waves(X0, X1, tim, ol_tf)

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updated 10 days ago

Efficient Approximation for Response-Time Tails in Fork-join Queues by Zhan Qiu

Zhan Qiu (view profile)

Efficient Approximation Method for Response-Time Tails in Fork-join Queues (analysis, approximation, distribution)

build_SA(services, service_h, C)

build_Service_h( service )

build_index(m,cr)

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updated 15 days ago

Novel Bat Algorithm (NBA) by Xian-Bing Meng

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

NBA.m

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updated 15 days ago

Bird Swarm Algorithm (BSA) by Xian-Bing Meng

This is a new bio-inspired algorithm: Bird Swarm Algorithm, proposed by Xian-Bing (2015) (algorithm, random, optimization)

BSA( FitFunc, M, pop, dim, FQ, c1, c2, a1, a2 )

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updated 1 month ago

fun(b,a) by manjeet kumar

optimal fractional delay infinite impulse response filter design using cuckoo search algorithm (signal processing, optimization, matlab)

fun(b,a)

FD_IIR_CSA_PSO_GA.m

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updated 1 month ago

Guaranteed Automatic Integration Library by GAIL

GAIL (view profile)

A suite of algorithms for integration problems whose answers are guaranteed to be correct. (monte carlo simulatio..., sobol, integration)

Functions

GAIL License

Guaranteed Automatic Integration Library (GAIL)

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updated 1 month ago

Best polynomial approximation in uniform norm by Andrew Knyazev

For a given function on an interval, the code calculates the min-max approximation by a polynomial. (mathematics, statistics, optimization)

polyfitinf(M,N,K,X,Y,EPSH,MAXIT,REF0)

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updated 2 months ago

polyfitn by John D'Errico

John D'Errico (view profile)

Polynomial modeling in 1 or n dimensions (polyfit, modeling, regression)

polyfitn_demo

polydern(p,diffvar)

polyfitn(indepvar,depvar,modelterms)

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updated 4 months ago

Normal Approximation of Binomial Distribution with Continuity Correction by Joseph Santarcangelo

Normal Approximation of Binomial Distribution with Continuity Correction (statistics, approximation)

normbin(option)

NormApproxBinomial

main.m

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updated 4 months ago

Numerical Techniques for Volterra Equations by Hirak Doshi

Numerical Volterra Equation Solver (mathematics, approximation, matrices)

numsolve(a,b,n,h,f,ker )

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updated 5 months ago

inpolygons by Kelly Kearney

Kelly Kearney (view profile)

Finds points inside multiple polygons, holes possible. (approximation, interpolation, polygon)

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updated 5 months ago

Concrete Strength Approximator 2000 by Khashayar Khorasani

This function approximates the compressive strength of a concrete mix based upon density properties. (structural, concrete, construction)

ConcreteStrengthApproximator2000.m

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updated 6 months ago

powersmooth by Benjamin Friedrich

Smooth noisy time-series faithfully, without distorting lower-order time-derivatives (signal processing, data exploration, approximation)

powersmooth(vec,order,weight)

demo_powersmooth.m

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updated 7 months ago

SPLINEFIT by Jonas Lundgren

Jonas Lundgren (view profile)

Fit a spline to noisy data. (spline, splinefit, cubic spline)

SPLINEFIT EXAMPLES

ppdiff(pp,j)

ppint(pp,a,b)

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updated 7 months ago

vebyk by Rolf Sidler

vebyk performs ordinary kriging and can be easily adapted to other kriging methods. (kriging, 2d, approximation)

buildbigc3(position,anisotropy,nu,range)

buildsmallc3(position,anisotropy,nu,range)

covcalc(lag,nu,a)

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updated 8 months ago

mq_interpolation.m by Orlando Rodríguez

Multiquadrics interpolation. (approximation, interpolation, multiquadrics)

mq_interpolation(r,f,ri,c)

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updated 8 months ago

triparabolic interpolation by Orlando Rodríguez

Triparabolic function interpolation and calculation of derivatives. (3d, approximation, interpolation)

triparinterp(x,y,z,f,nodes)

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updated 8 months ago

biparabolic interpolation by Orlando Rodríguez

Biparabolic surface interpolation and calculation of derivatives. (approximation, interpolation, derivatives)

biparinterp(x,y,f,nodes)

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updated 8 months ago

piecewise cubic interpolation by Orlando Rodríguez

Code to interpolate function values and corresponding derivatives. (approximation, interpolation, derivatives)

pcinterp( x, y, xi, stype )

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updated 8 months ago

piecewise parabolic interpolation by Orlando Rodríguez

Code to interpolate function values and corresponding derivatives. (approximation, interpolation, derivatives)

ppinterp( x, y, xi )

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updated 8 months ago

central_diff2(y,deltat,d,a) by Benjamin Strom

Finite difference approximation of any order derivative, any accuracy (interpolation, approximation, algorithm)

central_diff2(y,deltat,d,a)

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updated 9 months ago

Support Vector Regression by Ronnie Clark

A MATLAB implementation of Support Vector Regression (SVR). (regression, nonlinear, machine learning)

svr_trainer(xdata,ydata, c, epsilon, kernel, varargin)

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updated 1 year ago

Chebfun V4 by Chebfun Team

Numerical computation with functions instead of numbers. (numerical analysis, interpolation, approximation)

A greedy algorithm for choosing interpolation points

A keyhole contour integral

A parameter dependent ODE with breakpoints

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updated 1 year ago

RegularizeData3D by Jamal

Jamal (view profile)

Produces a smooth surface from scattered 3D input data. (3d data, regularizing, approximation)

RegularizeData3D(x,y,z,xnodes,ynodes,varargin)

TestRegularizeData3D_Bicubic_vs_Bilinear.m

TestRegularizeData3D_Coarse_v_Fine_Output_Grids.m

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updated 1 year ago

SLM - Shape Language Modeling by John D'Errico

John D'Errico (view profile)

Least squares spline modeling using shape primitives (spline, splines, cubic)

slm_tutorial

hermite2slm(harray)

lse(A,b,C,d,solverflag,weights)

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updated 1 year ago

EzyFit 2.42 by Frederic Moisy

Frederic Moisy (view profile)

A free curve fitting toolbox for Matlab (approximation, interpolation, curve)

Discover Ezyfit: A free curve fitting toolbox for Matlab

about_ef (Ezyfit Toolbox)

axis0 (Ezyfit Toolbox)

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updated 1 year ago

ODE Solver through Galerkin Method by Marcos Cesar Ruggeri

This program solves Ordinary Differential Equations by using the Galerkin method. (differential equation..., ode, galerkin)

[approx,exac,err]=odegalerkin(poly,bc,n)

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updated almost 2 years ago

Vectorized Bisection Search by Sky Sartorius

Sky Sartorius (view profile)

Robust root-finding method that handles n-dim inputs and therefore has key advantages over FZERO. (bisection, search, root)

bisection(f,lb,ub,target,options)

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updated almost 2 years ago

Polynomial Toolbox: polyBox Version 2.1 by Matthew Harker, Paul O'Leary,

Polanomial approximation, polynomials as admissible functions, a comprehensive tutorial. (polynomials, covariance, convolution)

Demonstrate 2: Constrained Polynomials and Beam Measurements

Demonstrate the Constrained Polynomial Approximation

Example of Constrained Polynomials

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updated 2 years ago

N Dimensional Cardinal Spline (Catmull-Rom) Spline Interpolation by Dr. Murtaza Khan

N -Dimensional cubic Cardinal spline (Catmull-Rom) Interpolation (approximation, interpolation, cardinal spline)

[MatNbyNPlusOne]=crdatnplusoneval(P0,P1,P2,P3,T,n)

[Pu] =evalcrdnd(P0,P1,P2,P3,T,u)

main.m

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updated almost 3 years ago

Unbounded Resolution for Function Approximation by Alan Jennings

Alan Jennings (view profile)

A continuous function is optimized for varying outputs and increasing parameterization dimension (functional, optimization, interpolation)

[Cost_out,CostGrad]=CostFunc_lwr_8(Pnt,Opt)

[Out_out,OutGrad]=OutputFunc_lwr_8(Pnt,Opt)

[PointsOut]=Fmin_ConditionNum(CovIn,N,Opt)

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updated 3 years ago

Simpson's 1/3 and 3/8 rules by Jered Wells

Jered Wells (view profile)

SIMPSON: Simpson's rule for quadratic and cubic numerical integration (simpson, numerical, integration)

simpson(x,y,dim,rule)

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updated almost 4 years ago

QUADGR by Jonas Lundgren

Jonas Lundgren (view profile)

Gauss-Legendre quadrature with Richardson extrapolation. (quadrature, integral, approximation)

quadgr(fun,a,b,tol,trace,varargin)

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updated almost 4 years ago

ALTSUM by Jonas Lundgren

Jonas Lundgren (view profile)

Convergence acceleration of alternating series. (sum, approximation, mathematics)

altsum(a,method)

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updated almost 4 years ago

Newton - Raphson method by Andrea Cirillo

Find the zero of a regular function with Newton - Raphsons' method. (optimization, mathematics, newton)

zero=newton_raphson(funzione,tolleranza)

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updated 4 years ago

Check Whether a Point Lies Inside,Outside or On a Circle by Divakar Roy

Divakar Roy (view profile)

Checks whether a point lies inside,outside or on a circle defined by 3 other points. (approximation, interpolation, circle)

result=iscircle(X,Y,x,y)

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updated 4 years ago

B-spline tools by Jan Tore Korneliussen

Basic toolbox for polynomial B-splines on a uniform grid. OO overloading of common operators. (splines, approximation, interpolation)

B-spline toolbox

bspline0( x )

bspline1( x )

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updated 4 years ago

Simpson's Rule Integration by Juan Camilo Medina

Computes an integral "I" via Simpson's rule in the interval [a,b] with n+1 equally spaced points (integration, mathematics, simpsons rule)

simpsons(f,a,b,n)

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updated 4 years ago

Leibniz Approximation of pi by Ben Nuttall

This program computes the decimal places of pi using Leibniz's formula. Watch them converge! (pi, leibniz, leibniz formula for p...)

pi1.m

pi2.m

pi3.m

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updated 4 years ago

Piecewise Hermite Cubic Interpolation by Juan Camilo Medina

Interpolates with a Hermite cubic polynomial using the function values and corresponding derivatives (interpolation, hermite, mathematics)

y=p3hermite(x,pointx,pointy,yprime,plt)

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updated 4 years ago

Newton's Method by Harmon Amakobe

Finds better successive approximations for the root of a function using Newton's Method. (newtons method, newton, method)

newt(func,gss,ite,tol)

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updated 4 years ago

Bisection's method by Andrea Cirillo

It's a matlab function that finds a regular real function's zero with the bisection's method. (optimization, mathematics, bisection)

p_min=bisection(func,int,iter,tol_x,tol_f)

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updated 4 years ago

Image and Terrain Modeling using Incremental Delaunay Triangulation by Omid Sakhi

Omid Sakhi (view profile)

This program model image/digital elevation data using incremental Delaunay triangulations. (image, terrain, modeling)

aIDT(input_im,max_allowed_error,max_number_of_iterations)

aRDT(input_im,number_of_vertex)

aReCon(dt,z)

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updated 4 years ago

polyfit3 by Antoni J. Canós

Fit polynomial to data, with new features as forced to zero coefficients and data weighting. (approximation, interpolation, fitting)

polyfit3(x,y,n,nul,w)

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updated 4 years ago

Bisection by Wolfgang Putschögl

Computes the root of a function f by bisectioning. (approximation, solve, mathematics)

bisection(f,a,b,delta)

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updated almost 5 years ago

Gradient from Neural Network by Alan Jennings

Alan Jennings (view profile)

Function that takes a NN and creates a new NN that gives the gradient. (neural networks, function, gradient)

NN_DerivativeValidate

NN_GradientFunction(net)

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updated almost 5 years ago

Surface Fitting using gridfit by John D'Errico

John D'Errico (view profile)

Model 2-d surfaces from scattered data (approximation, interpolation, modeling)

gridfit_demo

gridfit(x,y,z,xnodes,ynodes,varargin)

test_main.m

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updated almost 5 years ago

Line Simplification by Wolfgang Schwanghart

Recursive Douglas-Peucker Polyline Simplification (Iterative Endpoint Fit) (approximation, interpolation, polyline)

dpsimplify(p,tol)

dpsimplify(p,tol)

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updated 5 years ago

Cardinal Spline (Catmull-Rom) Spline by Dr. Murtaza Khan

Evaluates and plot 2D Cardinal Spline (Catmull-Rom) Spline. (approximation, interpolation, cardinal spline)

[xt,yt] =EvaluateCardinal2D(P0,P1,P2,P3,T,u)

[xvec,yvec]=EvaluateCardinal2DAtNplusOneValues(P0,P1,P2,P...

TestEvaluateCardinal2D.m

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