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updated 2 hours 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 22 days ago

TEXPRESS Toolbox v1.0 by James Dillon

GDGT LC/MS Processing (lcms, mass spectroscopy, geochemistry)

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updated 2 months ago

RKN1210 - A 12th/10th order Runge-Kutta-Nyström integrator by Rody Oldenhuis

Integrator for second-order ODE's with very stringent error tolerances. (integration, ode, rungekuttanystrom)

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updated 5 months ago

calc_meshdata by Immanuel Anjam

Calculates the affine transformations for integration in 2D/3D via the unit triangle/tetrahedron. (integration, 2d, unit reference triang...)

[X,W]=inttri(p)

[x,y]=geom(bs,s)

calc_meshdata(dim,p,ef,t)

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updated 6 months ago

Fractional differentiation and integration by George Papazafeiropoulos

The n-th order derivative or integral of a function is calculated through Fourier series expansion. (gauss, legendre, fractional)

Cubic polynomial differintegral

Identity function differintegral

Tabular function differintegral

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updated 6 months ago

Anti-Windup PID Example by Yogananda Jeppu

The concept of anti-windup integration and its importance is brought out in this example.. (integration, control design)

PID_example

PID_example_incorrect

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updated 7 months ago

Tustin, Backward or Forward by Yogananda Jeppu

What is the difference between the different Integration methods? (integration)

integ

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updated 7 months ago

1D Finite Element Method (FEM) Example by Cheuk

A 1D finite element method (FEM) example is provided to teach the basics of using FEM to solve PDEs. (finite, element, method)

a_def(node)

act_quad(dof_pos, ref_quad_pos, num_edges)

compute_RHS_global(RHS_local, loc_glob, num_edges)

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updated 1 year ago

NumSim toolbox by Mathieu Gendron

Multiphysic boundary value problems, interpolation, meshless, points generation, simulation (multiphysics, boundary value proble..., interpolation)

Acoustic field simulation

Analyse_geometry_definition

Blender use

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updated 1 year ago

Biot-Savart direct integration on a generic curve by Alessandro Masullo

Biot-Savart integration on a generic curve, by numerical integration. (biotsavart, biot, savart)

biot_savart.m

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updated 1 year ago

4-variable function - NUMERICAL INTEGRATION by Sree Prasanna Rajagopal

4-variable integration value (integration, numerical, computation)

intbymat4(f,xmin,xmax,ymin,ymax,smin,smax,hmin,hmax,xcuts...

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updated 1 year ago

FUNCTION PLOTTER IN ONE VARIABLE by RAHUL RANJAN

differential, integral, and plot of default or user defined mathematical function (calculus, differentiation, integration)

FUN_PLOTTER(varargin)

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updated 1 year ago

inuctancies for wire loops by Maxim Vedenyov

calculates self inductance and mutual inductance (inductance, mutual inductance, wire)

L=inductance_neuman(x1,y1,z1,x2,y2,z2)

L=self_inductance(x,y,r)

[xr yr]=squares_in_polygon(x,y,ss)

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updated 1 year ago

Integration Demo by Teja Muppirala

A demo to visualize the integral of an arbitrary user-entered function. 任意の関数の積分計算を可視化表示するデモです (teaching, integration, trapezoid)

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updated 1 year ago

N-Dimensional Trapezoidal integral by Mohammed Sadeq Al-Rawi

See title. (communications, biotech, image processing)

trapezoidal_rule_nd_integral(x, mat, N)

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updated 1 year ago

Bias removal- and integration tool for continuous wave EPR data by Jan

This function will remove any bias and integrate a CW EPR sweep curve, together with a plot. (electron paramagnetic..., epr, integration)

[Y,A]=SubtractIntegrate(x,y,interpolation_points,varargin)

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updated 1 year ago

Inverse (integrated) gradient by John D'Errico

Vectorized & fully sparse 1-d, 2-d, & 3-d integrated gradients (integration, cumulative, gradient)

consolidator(x,y,aggregation_mode,tol)

intgrad1(fx,dx,f1,method)

intgrad2(fx,fy,dx,dy,f11)

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updated 2 years ago

inttet by Immanuel Anjam

3D integration quadrature for unit tetrahedron (3d, integration, quadrature)

inttet(p)

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updated 2 years ago

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

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

simpson(x,y,dim,rule)

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updated 2 years ago

PWLINT: Piecewise Linear Integration by Andrew Davis

Return positive and negative areas, assuming a piecewise linear function (signal processing, mathematics, numerical)

pwlint(x,y)

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updated almost 3 years ago

QUADGR by Jonas Lundgren

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

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

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updated 3 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 almost 4 years ago

PolySpace For Editors by Alex Debarros

A tool to integrate PolySpace into your favorite editor (polyspace, integration, ultraedit)

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updated 4 years ago

getLebedevSphere by Robert Parrish

Produces Lebedev Grids of up to the 131st order for integration on the unit sphere. (integration, quadrature, lebedev)

getLebedevSphere(degree)

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updated 5 years ago

Area Under A Curve by Vaishali Shrivastava

Visualization of the area under a curve (integration, educational, teaching)

Area_Under_A_Curve(varargin)

InitGUI(handles)

RefreshGUI(handles)

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updated 5 years ago

doubleintegral by Karl Skretting

Numerical integration of f(x,y) with flexible arguments for giving domain and method. (mathematics, integration)

doubleintegral(fun, domain, param, verbose, makefigure)

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updated 5 years ago

Elliptic Integrals and Jacobi's Zeta Function of Complex Argument. by Moiseev Igor

Evaluates the elliptic integrals of complex phase. (integration, jacobi zeta, elliptic integrals)

elliptic12i(u,m,tol)

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updated 5 years ago

3D Simpson's Integrator by Whayne Padden

Fully vectorised 3D integrator based on the Simpson's method (mathematics, 3d, integration)

simp3D.m

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updated 5 years ago

2D Simpson's Integrator by Whayne Padden

Fully vectorised 2D integrator based on the Simpson's method (mathematics, integration, simpsons method)

simp2D.m

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updated almost 6 years ago

Iterative Adaptive Simpson and Lobatto Quadrature by Matthias Chung

Iterative Adaptive Simpson and Lobatto Quadrature (integration, quadrature, simpson)

adaptiveLobatto(fcn, a, b, varargin)

adaptiveSimpson(fcn, a, b, varargin)

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updated almost 6 years ago

rombquad by Matt Fig

Performs Romberg quadrature. (integration, romberg quadrature, numerical)

rombquad(f,a,b,m)

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updated almost 6 years ago

gaussquad by Matt Fig

Adaptive form of gaussleg.m. (integration, gauss, gaussian)

gaussquad(f,a,b,tol)

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updated almost 6 years ago

Integrate (wrapper for dealing with infinite bounds) by AS

A wrapper for quad to deal with inf bounds. (integration, integrate, improper integral)

integrate(func, lb, ub, intfunction)

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updated 6 years ago

GaussHermite by Stephen Bocquet

Gauss-Hermite quadrature using tabulated abscissas and weights (integration, gaussian hermite quad..., mathematics)

GaussHermite(func, npt, varargin)

TestGaussHermite(k,b)

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updated 6 years ago

Stationary phase approximation for performing Fourier Transforms by Adam Wyatt

Performs a Fourier Transform of a function using the stationary phase approximation (integration, stationary phase appr..., fourier transform)

my_SPA(Aw, phiw, w, t, NP, phiw1, phiw2)

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updated 6 years ago

Pendulum on Circular Track by Dmitry Savransky

Integrate the equations of motion for a pendulum travelling on a circular track and animate the resu (differential equation..., pendulum, integration)

circpendulum(t0,y0,w,r,l);

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updated 6 years ago

Cumulative Cubic Integration by Roger Stafford

Similar to cumtrapz but third order accuracy. Unequal x spacing allowed. (integration, integration cumulativ..., third order)

[0;cumsum(z)]; return

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updated 6 years ago

Sparse grid quadrature by Greg von Winckel

Computes the nodes and weights for a sparse grid on a hyperrectangle (integration, sparse, quadrature)

[x,w]=spquad(dim,ord,bpt)

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updated 6 years ago

quadvgk by Adam Wyatt

G7-K15 adaptive quadrature on vector-valued functions (integration, apative, quadrature)

quadvgk(fv, Subs, NF)

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updated almost 7 years ago

Dassl Mex file compilation to Matlab 5.3 and 6.5! by Giovani Tonel

I have compiled a Dassl solver version (MATLAB MEX INTERFACE), in order to use with Matlab (version (integration, dassl, dae)

dxdt(t, x, rpar)

dydt(t, y, yp, rpar)

run_Dassl_test_problem.m

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updated 7 years ago

Generate a Faure sequence by Dimitri Shvorob

(perhaps while learning QMC) (integration, faure monte carlo, qmc)

faure(k,d,b)

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updated 7 years ago

Generate a Van der Corput sequence by Dimitri Shvorob

(perhaps while learning QMC) (integration, corput, monte carlo)

vdcorput(k,b)

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updated 7 years ago

QUADSHOW by Steven Lord

Display the points used to integrate a function using QUAD (integration, quad integrate, quadshow)

quadshow(fun, a, b, varargin)

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updated 7 years ago

Hankel transform by Marcel Leutenegger

Efficient implementations of the Hankel transform and the inverse Hankel transform, respectively. (integration, hankel transform, quasidiscrete)

JnRoots.m

dht.m

fht.m

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updated 7 years ago

Sine and cosine integrals on non-uniform grid by Leonid

Calculates integrals f(x)*sin(k*x)*dx and f(x)*cos(k*x)*dx with high precision for any value of k (integration, sine, cosine)

Int=integral_cos(x, f, k)

Int=integral_simpson(x, f)

Int=integral_sin(x, f, k)

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updated 7 years ago

Hilbertf by mohankumar nandagopal

Evaluates the Cauchy Principal Value integral over a finite interval (integration, cauchy principal valu..., finite hilbert transf...)

[umax1,hu,umin,hl]=inter(umax,u0,h)

[x,dvdu]=de(a,b,u);

sum=cpv(a,b,x0,n);

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updated 7 years ago

Homogen Integrate on Triangular Area and Tetrahedral Volume by Ali OZGUL

Tetrahedral volume integration (integration, beta, gamma)

Hominttetrahedral

Hominttriangle

[Integrate]=THhomogenint(Cor,mainfunction,flag)

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updated 7 years ago

A double integration of the tabulated data. by Robertas balevicius

A double integration of the tabulated data. (integration, double, tabulated)

int_2D_tabulated(X, Y, Z )

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updated 7 years ago

Multi-Dimensional Gauss Points and Weights by Brent Lewis

Gives the gauss points and weights for 1-D through 3-D along with 6 node triangular finite element (integration, gauss points, weights)

md_gauss(n,dimension,symbolic,type)

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updated 7 years ago

cumquad by Adam Wyatt

Cumulative integration of analytical functions via adaptive simpsons quadrature. (integration, cumulative integratio..., adaptive)

cumquad(funfcn,a,b,tol,trace,varargin)

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