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

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

rkn1210(funfcn, tspan, y0, yp0, options)

rkn1210_DEMO

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,y...

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)

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)

N-Dimensional Trapezoidal integral by Mohammed Sadeq Al-Rawi

See title. (communications, biotech, image processing)

trapezoidal_rule_nd_integral(x, mat, N)

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. (interpolation, measurement, integration)

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

Inverse (integrated) gradient by John D'Errico

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

consolidator(x,y,aggregation_mode,tol)

intgrad1(fx,dx,f1,method)

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

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,y]=geom(bs,s)

calc_meshdata(dim,p,ef,t)

inttet(p)

inttet by Immanuel Anjam

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

inttet(p)

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

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

simpson(x,y,dim,rule)

PWLINT: Piecewise Linear Integration by Andrew Davis

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

pwlint(x,y)

QUADGR by Jonas Lundgren

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

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

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 (approximation, integration, simpsons rule)

simpsons(f,a,b,n)

getLebedevSphere by Robert Parrish

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

getLebedevSphere(degree)

Area Under A Curve by Vaishali Shrivastava

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

Area_Under_A_Curve(varargin)

setup.m

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)

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)

Vectorized quadrature function by Loren Shure

quadvec provides a way to perform higher order integration in MATLAB over non-rectangular domains. (integration, quad integration, nonrectangular)

quadvec(f, varargin)

3D Simpson's Integrator by Whayne Padden

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

simp3D(func,a,b,c,d,e,f,NX,NY,NZ)

2D Simpson's Integrator by Whayne Padden

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

simp2D(func,a,b,c,d,NX,NY)

Iterative Adaptive Simpson and Lobatto Quadrature by Matthias Chung

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

adaptiveLobatto(fcn, a, b, varargin)

adaptiveSimpson(fcn, a, b, varargin)

rombquad by Matt Fig

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

rombquad(f,a,b,m)

gaussquad by Matt Fig

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

gaussquad(f,a,b,tol)

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)

GaussHermite by Stephen Bocquet

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

GaussHermite(func, npt, varargin)

TestGaussHermite(k,b)

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)

Pendulum on Circular Track by Dmitry Savransky

Integrate the equations of motion for a pendulum travelling on a circular track and animate the resu (animation, example, integration)

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

Cumulative Cubic Integration by Roger Stafford

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

[0;cumsum(z)]; return

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)

quadvgk by Adam Wyatt

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

quadvgk(fv, Subs, NF)

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 (dassl, interface, dae)

dxdt(t, x, rpar)

dydt(t, y, yp, rpar)

run_Dassl_test_problem.m

Generate a Faure sequence by Dimitri Shvorob

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

faure(k,d,b)

Generate a Van der Corput sequence by Dimitri Shvorob

(perhaps while learning QMC) (qmc, elements, monte carlo)

vdcorput(k,b)

QUADSHOW by Steven Lord

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

quadshow(fun, a, b, varargin)

Hankel transform by Marcel Leutenegger

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

[H,I]=hat(h,r,k,n)

[H,I]=ht(h,r,k,I)

[H,k,r,I,K,R,h]=dht(h,R,N,n)

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)

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);

Homogen Integrate on Triangular Area and Tetrahedral Volume by Ali OZGUL

Tetrahedral volume integration (integration, gamma, beta)

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

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

Hominttetrahedral

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 )

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)

cumquad by Adam Wyatt

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

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

Simpsons GUI by Muddassir Iqbal

gui has been made based on simpsons rule (simpsons, gui, integration)

simpsons_gui(varargin)

mcint by Lee Ferchoff

Monte Carlo integrator over arbitrary n-dimensional domains (integration, monte carlo, integrator)

jacobian(x, system)

learnmcint

mcint(h, n, opt)

Rombint.m by Martin Kacenak

This function performs the numerical evaluation of an integral using the Romberg method. (integration, romberg, numerical)

[res]=rombint(funfcn,a,b,decdigs,varargin);

Quadrature rules for spherical volume integrals by Greg von Winckel

Computes weights and nodes for numerically solving spherical volume integrals. (volume, gauss, spherical)

[r,t,p,w]=spherequad(nr,nt,np,rad)

dblquad over general domain by David Woods

Extension of dblquad over a rectangle domain to general case. (double integration, modification, integration)

dblquadx(intfcn,f_xmin,f_xmax,ymin,ymax,tol,quadf,varargin)...

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

demo_dblquadx.m

CUMSIM: "CUMulative SIMpson" integral by Vassili Pastushenko

Integral(y(x),x(1),x(end)) by Simpson. Nonequidistantlysampled data regularuzed by PARFIL (integration, cumulative, nonequidistant)

CS=cumspline(x,y)

ER=compcum

Y=cumsim(varargin)

quadg by Nabeel Azar

Gaussian Quadrature code and quadrature framework (quadrature, gaussian, integration)

quadg (fun,a,b,opts,varargin)

gaussleg by Matt Fig

Calculates the integral of function f from a to b using ngp Gauss points. (integration, gaussian legendre qua..., numerical)

gaussleg(f,a,b,gp,varargin)

Gauss3D by Matt Fig

Performs 3D Gaussian integration over user-defined volume. (integration, quadrature, gaussian)

[]=Gauss3D(arg)