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updated 8 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 4 months ago

1D Linear Advection Finite Difference by James Adams

Solves the 1D Linear Advection equations using a choice of five finite difference schemes. (finite difference, linear advection, laxfriedrichs)

linearAdvection_JA

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updated 4 months ago

1D Shallow Water Equations Dam Break by James Adams

Solves the 1D Shallow Water Equations for a Dam Break scenario (shallow water equatio..., finite difference, pde)

SWE_DamBreak_JA

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updated 4 months ago

Parallel Implementation of the Picard Iteration For Linear BVP PDEs by Darin Koblick

Parallel Picard Iteration for a Linear Hyperbolic BVP PDE (pde, hypberbolicsecond ord..., hyperbolic pde)

parPicardPDESolver(N)

seqPicardPDESolver(N)

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updated 4 months ago

Introduction into FEM by Peter van Alem

FEM, Wave equation, Linear elasticity (fem, wave equation, linear elasticity)

Beam3D.m

WaveEquation2D.m

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updated 5 months ago

Periodic Reaction-Diffusion PDE solver by Albert

Solves a system of reaction diffusion equations with periodic BCs. (pde, pdepe, reactiondiffusion)

ex1()

ex2()

pbcpdeSolver(fpde,ic,xlist,tlist)

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updated 6 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 9 months ago

Weighted Essentially Non-Oscillatory (WENO) by Manuel Diaz

Advect Information using WENO5 scheme (finite difference met..., pde, linear advection)

IC(x,ICcase)

WENO5_1d_reconstruction(v,u)

fluxSplit(u,f,df,strategy)

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updated 9 months ago

Nodal DG by Manuel Diaz

Advect Information using Nodal Discontinuous Galerkin Method (discontinuous galerki..., pde, linear advection)

IC(x,ICcase)

residual(u,flux,dflux,Lift,Dr)

DGtools

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updated 9 months ago

Finite Element Method - Poisson's Equation - Variable Material properties by Reza Rahemi

Finite Element Method for solving Poisson's equation in non-isotropic materials (finite element method, electrodynamics, poisson)

fem_poisson.m

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updated 9 months ago

Correction Procedure via Reconstruction (CPR) by Manuel Diaz

Advect Information using Correction Via Reconstruction Method (discontinuous galerki..., pde, linear advection)

IC(x,ICcase)

residual(u,L,dg,flux,dflux,quad)

CorrectionPolynomial

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updated 1 year ago

Numerical modeling and analysis of the radial polymer casting in cylindrical coordinates by Amin Taheri Najafabadi

Radial unsteady state heat transfer analysis in cylindrical coordinates with numerical approach (cylindrical coordinat..., explicit scheme, finite difference)

Polymer_Casting.m

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updated 1 year ago

2D/3D image segmentation toolbox by Yan Zhang

2D/3D image segmentation using level-set based active contour/surface with AOS scheme (2d3d image segmentati..., levelset, aos)

ac_ChanVese_model(I, phi, smooth_weight, image_weight, ...

ac_GAC_model(g, phi, countour_weight, expansion_weight, ...

ac_SDF_2D(type, dims, varargin)

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updated almost 2 years ago

Deflection of a Square Plate Calculated With PDE Toolbox by Bill Greene

Deflection of a Square Plate Calculated With PDE Toolbox (pde, demo, simulation)

clampedSquarePlateExample

boundaryFileClampedPlate( p, e, u, time )

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updated 2 years ago

Integral Equation Solver by Alexandre Munnier

Matlab functions to solve Laplace equations with mixed Dirichlet and Neumann boundary conditions (mathematics, pde, laplace equation)

IES_boundaries_data_build(bdy_data)

IES_boundaries_description

IES_ellipse(t,der,varargin)

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updated almost 3 years ago

FEM toolbox for solid mechanics by Anton Zaicenco

The finite element toolbox for solid mechanics with GUI. (differential equation..., pde, solid mechanics)

BRICK_stress (in_data, resp)

BRICK_stress_main (in_data, SIGsys)

CST_CSQ_stress (in_data,resp)

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updated almost 3 years ago

Constrained Hermite Taylor Series Least Squares by Rob McDonald

Estimate Derivatives on Scattered or Unstructured Mesh. (derivative, pde, finite difference)

chtlsnd(X0, Xf, r, Xb, Vb, V0, p)

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updated almost 3 years ago

Hamilton-Jacobi solver on unstructured triangular grids by Shawn Walker

Solves a class of static HJB equations on general triangular grids. (mathematics, physics, distance function)

d=dist_circle(p,xc,yc,r)

SolveEikonal

SolveEikonalmex

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updated 3 years ago

Laplacian in 1D, 2D, or 3D by Andrew Knyazev

Sparse (1-3)D Laplacian on a rectangular grid with exact eigenpairs. (matrix, mathematics, laplacian)

laplacian(varargin)

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updated 3 years ago

Calculation of Downhole Dynamometer Cards for Sucker-Rod Pumps by Jose Ercolino

Finite-Difference Wave Equation Diagnostic Analysis for Sucker-Rod Pumps. (pde, wave equation, suckerrod pump)

Everitt.m

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updated 3 years ago

Using Finite Elements Method on a PDE With No Solution by Mark Mueller

Applies Finite Element Method to a PDE which has no solution. (finite elements, pde, mathematics)

NA_proj_2011_v1.m

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updated 3 years ago

Fast Possion equation solver by Evan Ruzanski

Solves the Poisson equation using Successive Overrelaxation (SOR) with Chebyshev acceleration. (numerical analysis, partial differential ..., pde)

solvePoissonSOR(y,maxIt,maxErr)

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updated 3 years ago

Files associated with FREE finite difference textbook by Clive

m-files to implement classical finite difference schemes for partial differential equations. (numerical methods, finite difference met..., pde)

Casestudychapter3

LaplaceGStest

LaplaceJacobigeneral

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updated almost 4 years ago

Accelerating Finite Element Analysis (FEA) in MATLAB by Vaishali Shrivastava

Accelerate computationally intensive part of FEA by using Parallel computing. (mathematics, physics, parallel computing)

checkgeometry(node,edge,face,hdata)

circumcircle(p,t)

computeMForcesfromV(nodes, edges, triangles, potential, g...

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updated 4 years ago

GAFFE A toolbox for solving evolutionary nonlinear PDEs by Edward Grace

This toolbox implements the well known split-step Fourier technique for solving nonlinear PDEs. (pde, fft, nonlinear)

B=fftnpad(A,varargin)

DefaultDiffraction(dz,KX,X,u,U)

DefaultDiffractionFibich(dz,KX,X,u,U)

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updated 5 years ago

Cubed sphere by Bruno Luong

Generate a cubed-sphere geometry (cubed sphere, geometry, earth simulation)

cubedsphere(n, prjtype)

earthdemo(maptype)

plotcubedsphere.m

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updated 5 years ago

Toolbox Fast Marching by Gabriel Peyre

A toolbox for the computation of the Fast Marching algorithm in 2D and 3D. (differential equation..., fast marching, level set)

Toolbox Fast Marching - A toolbox for Fast Marching and l...

callback_active_contour(x, options)

check_face_vertex(vertex,face, options)

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updated 5 years ago

Designing serial method computing of cardiac partial differential equations VI1,on 1D,2D and 3D by Dit Papa Lamine ndao

To solve cardiac PDe equations i propose *-serie,or x-serie solution V(x,t)=no(t)+n1(t)x+n2(t)*x*x (pde, non linear system pde, cardiac modele of pro...)

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updated 7 years ago

Essentials of Computational Physics. Part 1: An introduction to finite-difference methods by Victor Zalizniak

Companion software package. (numerical methods, pde, engineering)

[d,u,p,e,time]=godunov_gasdynamics(dd,ud,pd,h,nx,r,tp,gam...

[d,u,p,e,time]=lw_gasdynamics(dd,ud,pd,h,nx,r,cad,tp,gamm...

[d,u,p,e,time]=waf_gasdynamics(dd,ud,pd,h,nx,r,cad,tp,gam...

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updated 8 years ago

Solve boundary value problem by command lines by Hongxue Cai

solve PDEs in continous domain using command lines (mechanical modeling, boundary condition ma..., geometrical matrix)

solveBV

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updated 8 years ago

Construction of complex geometry using command lines by Hongxue Cai

complex geometry using command lines (mechanical modeling, complex geometry mesh..., pde)

cgeometry.m

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updated 10 years ago

Preconditioning by Jose Antonio Muñoz Gómez

Preconditione A, t.a Frob(I-A*W). (optimization, pde, precondition)

W=preco(A)

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