netlib/ode/index

file: ode/daskr.tgz
for: differential-algebraic system solver with rootfinding
by: Brown, Hindmarsh, Petzold
prec: double and single
alg: BDF methods with direct and preconditioned Krylov linear solvers
ref: SIAM J. Sci. Comp.: 15, 6, 1467 (1994) and 19, 5, 1495 (1998)
gams: I1a2
file: ode/daspk.tgz
for: differential-algebraic system solver
by: Brown, Hindmarsh, Petzold
prec: double and single
alg: BDF methods with direct and preconditioned Krylov linear solvers
ref: SIAM J. Sci. Comp.: 15, 6, 1467 (1994) and 19, 5, 1495 (1998)
gams: I1a2
```
also known as DASPK2
superseded by daskr.tgz
```
file: ode/sdassl.f
by: Petzold
for: differential-algebraic system solver
alg: backward differentiation formulae
prec: double
rel: good
age: stable
gams: I1a2
```
superseded by daskr.tgz
```
file: ode/ddassl.f
by: Petzold
for: stiff differential-algebraic system solver
alg: backward differentiation formulae
prec: double
rel: good
age: stable
gams: I1a2
```
superseded by daskr.tgz
```
file: ode/sdasrt.f
by: Petzold
for: stiff differential-algebraic system solver with root stopping
alg: backward differentiation formulae
prec: single
rel: good
age: stable
```
needs routines from ode/sdassl.f but duplicated auxiliary routines
	,	are different
```
gams: I1a2
```
superseded by daskr.tgz
```
file: ode/ddasrt.f
by: Petzold
for: stiff differential-algebraic system solver with root stopping
alg: backward differentiation formulae
prec: double
rel: good
age: stable
```
needs routines from ode/ddassl.f but duplicated auxiliary routines
are different
```
gams: I1a2
```
superseded by daskr.tgz
```
lib: ode/rksuite (index) (tar)
alg: Runge-Kutta
for: initial value problem for first order ordinary differential equations , A suite of codes for solving IVPs in ODEs. A choice of RK methods , is available. Includes an error assessment facility and a sophisticated , stiffness checker. Template programs and example results provided. , Supersedes RKF45, DDERKF, D02PAF.
ref: RKSUITE, Softreport 92-S1, Dept of Math, SMU, Dallas, Texas
by: R.W. Brankin (NAG), I. Gladwell and L.F. Shampine (SMU)
lang: Fortran
prec: double
gams: I1a1a
file: ode/colnew.f
by: Ascher and Bader
for: ordinary differential equation boundary-value problem solver
alg: truncated powers collocation (modification of colsys)
prec: double
rel: good
age: stable
gams: I1b2
file: ode/colsys.f
by: Ascher, Christiansen, and Russell
for: ordinary differential equation boundary-value problem solver
alg: B-spline collocation
prec: double
rel: good
age: stable
gams: I1b2
file: ode/coldae.f
by: Ascher and Spiteri
for: semi-explicit differential-algebraic equations with index at most 2.
alg: collocation, proj on constraint manifold (modification of colnew)
prec: double
file: ode/mebdfdae.f
by: Cash
for: stiff ODE and linearly implicit DAE initial-value problems
alg: extended backward differentiation formulae
prec: double
lang: Fortran
gams: I1a2
```
replaces dmebdf.f, dp12.f and sp12.f
```
file: ode/mebdfi.f
by: Cash
for: general implicit DAE initial-value problems, index <= 3
alg: extended backward differentiation formulae
prec: double
lang: Fortran
file: ode/mebdfso.f
by: Cash
for: large sparse stiff ODE initial-value problems
alg: extended backward differentiation formulae
prec: double
lang: Fortran
```
needs Yale sparse matrix package
```
file: ode/yale.f
for: Yale sparse matrix package, as used by mebdfso
file: ode/dresol.f
by: Dieci
for: solving stiff/nonstiff matrix differential Riccati equations (DREs)
ref: SIAM J. Numerical Analysis 29-3
prec: single
alg: Adams' and backward differentiation formulae
gams: I1a1b I1a2
```
Based on lsode by Hindmarsh.  Solves symmetric and unsymmetric DREs.
```
file: ode/dverk.f
by: Jackson, Hull, and Enright
for: ordinary differential equation initial-value problem solver with global error control
alg: Verner's fifth and sixth order Runge-Kutta pair
prec: double
gams: I1a1a
file: ode/epsode.f
by: Bryne and Hindmarsh
for: stiff ordinary differential equation initial-value problem solver
alg: backward differentiation formulae (variable coefficient formulae)
prec: double
gams: I1a2
file: ode/ddverk.f
by: Enright and Hayashi
for: delay differential equations
alg: continuous Runge-Kutta method with defect control
ref: SIAM J Numer Anal 35, 572-585, 1998
file: ode/mus.doc
by: Mattheij and Staarink
for: ordinary differential equation boundary-value problem solver
alg: multiple shooting
ref: http://www.win.tue.nl/math/an/noframe/ftp/index.html , whence you may also fine DEQNS
prec: double
gams: I1b1 I1b2
file: ode/mus1.f
file: ode/mus2.f
file: ode/mus3.f
file: ode/muslex.f
for: example driver for MUSL
file: ode/musnex.f
for: example driver for MUSN
file: ode/ode.f
by: Shampine and Gordon
for: ordinary differential equation initial-value problem solver
alg: Adam's methods
prec: double
rel: excellent
age: old
gams: I1a1b
file: ode/rkc.f
for: explicit solver for parabolic PDEs
by: Sommeijer, Shampine, Verwer
ref: J. Comp. Appl. Math., submitted 1997
prec: double
lang: Fortran77
alg: second-order explicit Runge-Kutta-Chebyshev formulae
gams: I1a1a
file: ode/rkc-exa.f
for: example A for ode/rkc.f
file: ode/rkc-exb.f
for: example B for ode/rkc.f
file: ode/rkf45.f
by: Watts and Shampine
for: ordinary differential equation initial-value problem solver
alg: Runge-Kutta Fehlberg fourth-fifth order
prec: double
rel: good
age: old
gams: I1a1a
file: ode/scolsys.f
by: Ascher, Christiansen, and Russell
for: ordinary differential equation boundary-value problem solver
alg: B-spline collocation
prec: single
rel: good
age: stable
gams: I1b2

for: general linear differential algebraic equations

by: P. Kunkel, V. Mehrmann, W. Rath and J. Weickert

The package includes a computation of all the local invariants of the
	,	system, a regularization procedure and an index reduction scheme and
	,	it can be combined with every solution method for standard index 1
	,	systems. Nonuniqueness and inconsistencies are treated in a least
	,	square sense. In our package we have implemented backward
	,	differentiation formulas (BDF) methods and Runge-Kutta schemes.

prec: double

lang: fortran

gams: I1a2

file: ode/sderoot.f
by: Gordon and Shampine
for: ordinary differential equation initial-value problem solver with root stopping
alg: Adam's methods
prec: single
rel: good
age: old
gams: I1a1b
file: ode/sode.f
by: Shampine and Gordon
for: ordinary differential equation initial-value problem solver
alg: Adam's methods
prec: single
rel: excellent
age: old
gams: I1a1b
file: ode/srkf45.f
by: Watts and Shampine
for: ordinary differential equation initial-value problem solver
alg: Runge-Kutta Fehlberg fourth-fifth order
prec: single
rel: good
age: old
gams: I1a1a
file: ode/svode.f
by: Brown, Byrne and Hindmarsh
for: non-stiff or stiff ordinary differential equation initial-value problem solver
alg: backward differentiation formulae (variable coefficient formulae)
prec: single
```
updated version of epsode
```
gams: I1a2
file: ode/svodpk.f
by: Brown, Byrne and Hindmarsh
for: large non-stiff or stiff ordinary differential equation initial-value problem solver
alg: backward differentiation formulae (variable coefficient formulae) with GMRES with user-suppled preconditioner
prec: single
```
updated version of epsode
```
gams: I1a2
file: ode/vode.f
by: Brown, Byrne and Hindmarsh
for: non-stiff or stiff ordinary differential equation initial-value problem solver
alg: backward differentiation formulae (variable coefficient formulae)
prec: double
```
updated version of epsode
```
gams: I1a2
file: ode/vodpk.f
by: Brown, Byrne and Hindmarsh
for: large non-stiff or stiff ordinary differential equation initial-value problem solver
alg: backward differentiation formulae (variable coefficient formulae) with GMRES with user-suppled preconditioner
prec: double
```
updated version of epsode
```
gams: I1a2
size: 200 kB
file: ode/cvode.tar.gz
for: large non-stiff or stiff ordinary differential equation initial-value problem solver
alg: combines earlier vode.f and vodpk.f
lang: C
by: Scott D. Cohen and Alan C. Hindmarsh
size: 273 kB
file: ode/twpbvp.f
by: Cash and Wright
for: ordinary differential equation boundary-value problem solver
alg: deferred correction with mono-implicit Runge Kutta
ref: ode/twpbvp.tex (LaTeX)
lang: Fortran
prec: double
rel: good
age: new
gams: I1b2
file: ode/twpbvp.tex
by: Cash and Wright
for: documentation for twpbvp.tex
lib: ode/geodesic (index) (tar)
for: geodesics on manifolds
file: ode/parsodes.tar.gz
by: Claus.Bendtsen@uni-c.dk
for: large systems of stiff ordinary differential equations
alg: multiimplicit Runge-Kutta with "across the method" parallelization
lang: Fortran90, MPI
file: ode/composition.txt
by: Li and Kahan
for: introduction to composition.tar.gz
file: ode/composition.tar.gz
by: Ren-Cang Li and William Kahan
for: unconventional schemes to solve ordinary differential equations
alg: composition methods, mostly palindromic schemes
size: 890 kilobytes
file: ode/acdc.f
by: Cash and R.W.Wright
for: ode stiff boundary value problem
alg: deferred correction and continuation based on Lobatto Runge-Kutta
lang: fortran
prec: double
file: ode/acdc.tex
for: reference manual for ode/acdc.f
file: ode/colmod.f
by: R.W.Wright and Cash
for: ode stiff boundary value problem solver
alg: collocation and continuation (modification of COLNEW)
lang: fortran
prec: double
file: ode/mirkdc.f
by: Enright and Muir
for: nonlinear two-point boundary value ordinary differential equations
alg: mono-implicit Runge-Kutta methods, defect control
prec: double
file: ode/mirkdc.txt
for: documentation of mirkdc.f
lib: ode/symbolic (index) (tar)
for: symbolic methods for ODEs or discretization analysis
lib: ode/ex (index) (tar)
for: example programs
lib: ode/daesolve (index) (tar)
by: Werner C Rheinboldt
for: differential algebraic equations
file: ode/odeToJava.tgz
for: initial-value problems for stiff and non-stiff ordinary differential equations
alg: explicit Runge-Kutta, linearly implicit implicit-explicit (IMEX)
by: Murray Patterson and Raymond J. Spiteri
lang: Java
size: 580kB
file: ode/changes
index help

Eric and Jack