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Code covered by the BSD License

Highlights from
Essentials of Computational Physics. Part 1: An introduction to finite-difference methods

[d,u,p,e,time]=godunov_gasdyn...
[d,u,p,e,time]=lw_gasdynamics... Lax-Wendroff scheme (gasdynamics)
[d,u,p,e,time]=waf_gasdynamic... Method WAF
[d,u,p,e,time]=waf_tvd_gasdyn...
[dis,cg]=properties(kh,r,meth... Dissipation and dispersion properties of various schemes
[entu,uu,sf]=stefan_1d(entd,u... One-dimensional Stefan problem
[f1,f2,f3]=flux_godunov(sl1,s... Solves Riemann problem and computes fluxes for method of S. K. Godunov
[f1,f2,f3]=flux_waf(sl1,sl2,s... Solves Riemann problem and computes fluxes for method WAF
[rf,uf,pf]=riemann(x,t,r1,u1,... Solves Riemann problem for ideal gas
[rw,uw,pw,cw]=flux_waf_tvd(sl... Solves Riemann problem and computes fluxes for method WAF (TVD)
[u,it]=helmgoltz_2d_cg(up,f,a... Solve the Helmgoltz equation by the method of Concus and Golub
[u,k]=helmgoltz_2d_sor(f,ac,b... Solve the discrete Helmgoltz equation using method SOR
[u,k]=poisson_2d_td(up,f,a,lx... Solve the nonlinear Poisson equation using the method of time development
[u,v,w,psi,time]=ns_2d_vsf(u,... Two-dimensional Navier-Stokes equation
[u]=helmgoltz_2d_fft(f,a,b,lx... Solve the Helmgoltz equation using FFT
[u]=poisson_ns_fft(f,nx,ny,hx... Solve the Poisson equation using FFT (for ns_2d_vsf.m)
[ub,pb,uu,pu]=pem(ua,pa,ud,pd... PEM scheme
[uu,pu]=godunov_acoustics(ud,... Scheme of S.K.Godunov of the 1st order (acoustics)
[uu,pu]=lw_acoustics(ud,pd,im... Lax-Wendroff scheme (acoustics)
[uu,pu]=roe(ud,pd,um,pm,imp,n... Scheme of P.Roe
[uu]=cross(ud,um,c,ro,nx,h,ti...
[uu]=heat_1d_nun(ud,roc,a,nx,... One-dimensional equation of heat transfer for inhomogeneous medium
[uu]=heat_1d_un(ud,kappa,a,nx... One-dimensional equation of heat transfer for uniform medium
[uu]=heat_2d_es(ud,kappa,a,nx... Two-dimensional equation of heat transfer for uniform medium
f=a_e71(x,y)
f=a_e73(x,y)
f=a_e74(u,x,y)
f=b_e71(x,y)
f=b_e73(x,y)
f=f_e71(x,y)
f=f_e73(x,y)
f=f_e74(x,y)
f=fs_e43(x,y,t)
f=g1_e71(y)
f=g1_e73(y)
f=g1_e74(y)
f=g1_e81(y,t)
f=g2_e71(x)
f=g2_e73(x)
f=g2_e74(x)
f=g2_e81(x,t)
f=g3_e71(y)
f=g3_e73(y)
f=g3_e74(y)
f=g3_e81(y,t)
f=g4_e71(x)
f=g4_e73(x)
f=g4_e74(x)
f=g4_e81(x,t)
fi=limiter_Lin(q,r)
fi=limiter_mina(q,r)
fi=limiter_supera(q,r)
fi=limiter_ultraa(q,r)
fi=limiter_vanAlbada(q,r)
fi=limiter_vanLeer(q,r)
invlap(F, t, alpha, tol, P1,P... INVLAP numerical inverse Laplace transform
u=sweep(p,s,r,gamma1,gamma2,g... Sweep method for tridiagonal matrix
u=sweepa(p,s,r,gamma1,gamma2,... Sweep method for tridiagonal matrix
v=tdmv(a,b,c,x)
y=bcl_e41(t)
y=bcr_e41(t)
y=bcxl_e43(ys,time)
y=bcxr_e43(ys,time)
y=bcyl_e43(xs,time)
y=bcyr_e43(xs,time)
y=exm42lt(s,p1,p2)
y=f1_e41(t)
y=f1_e44(t)
y=f1_e51(t)
y=f2_e41(t)
y=f2_e44(t)
y=f2_e51(t)
y=fast_sin_transform(a) Fast sine transform on input matrix A of dimension n-by-m
y=fs_e41(x,t)
y=fs_e42(x,t)
y=fs_e44(x,t)
example4_1.m
example4_2.m
example4_3.m
example4_4.m
example5_1.m
example5_2.m
example5_3.m
example5_4.m
example5_5.m
example6_1.m
example6_2.m
example6_3.m
example6_4.m
example6_5.m
example7_1.m
example7_2.m
example7_3.m
example7_4.m
example8_1.m
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3.8 | 4 ratings Rate this file 20 Downloads (last 30 days) File Size: 339.07 KB File ID: #8478

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

by Victor Zalizniak

14 Sep 2005 (Updated 06 Dec 2006)

Companion software package.

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File Information
Description	Designed for graduate students in physics and engineering, this package covers a variety of finite-difference techniques that are applied to solving PDEs. The following topics are included: heat transfer, acoustics, gasdynamics, stationary equations and motion of viscous incompressible fluid.
MATLAB release	MATLAB 6.0 (R12)
Other requirements	Windows 98/2000/XP MATLAB R12,13,14

Tags for This File
Everyone's Tags	engineering, finitedifference, heat, numerical methods, pde
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Comments and Ratings (7)
28 Mar 2006	Noorahmat Pudyastomo
23 Jun 2006	Michael Froehner	The mex-Files (dll) don't work for Windows XP and the Matlab R14 version.
14 Nov 2006	Rasmus Just	When I try to run any example I get an error message stating: ??? Invalid MEX-file 'C:\Test\poisson_2d_td.dll': The specified module could not be found. And Thats when I place all the files for the example in the same directory as the dll's What's wrong???
20 Mar 2007	Xia Huang	Sounds intresting I will try it
31 Jul 2007	aa aa
30 Jan 2008	Hanefa alqasmi
06 Sep 2008	Bernardo Aflalo	A very good set of programs to better understand the math and physics of wave, heat and fluid problems.

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Updates
06 Dec 2006	to improve compatibility

Tag Activity for this File
Tag	Applied By	Date/Time
numerical methods	Victor Zalizniak	22 Oct 2008 07:59:57
pde	Victor Zalizniak	22 Oct 2008 07:59:57
engineering	Victor Zalizniak	22 Oct 2008 07:59:57
finitedifference	Victor Zalizniak	22 Oct 2008 07:59:57
heat	Victor Zalizniak	22 Oct 2008 07:59:57

Highlights from Essentials of Computational Physics. Part 1: An introduction to finite-difference methods

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

Highlights from
Essentials of Computational Physics. Part 1: An introduction to finite-difference methods