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Commit 40b0be03 authored by Henry Weller's avatar Henry Weller
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ODESolvers: Updated references to APA style

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......@@ -29,18 +29,15 @@ Description
References:
\verbatim
"A variable order Runge-Kutta method for initial value problems
with rapidly varying right-hand sides"
Cash, J.R.,
Karp, A.H.
ACM Transactions on Mathematical Software, vol. 16, 1990, pp. 201–222.
"Solving Ordinary Differential Equations I: Nonstiff Problems,
second edition",
Hairer, E.,
Nørsett, S.,
Wanner, G.,
Springer-Verlag, Berlin. 1993, ISBN 3-540-56670-8.
Cash, J. R., & Karp, A. H. (1990).
A variable order Runge-Kutta method for initial value problems
with rapidly varying right-hand sides.
ACM Transactions on Mathematical Software (TOMS), 16(3), 201-222.
Hairer, E., Nørsett, S. P., & Wanner, G. (1993).
Solving Ordinary Differential Equations I: Nonstiff Problems,
second edition.
Springer-Verlag, Berlin.
\endverbatim
SourceFiles
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......@@ -29,18 +29,14 @@ Description
References:
\verbatim
"A family of embedded Runge-Kutta formulae"
Dormand, J. R.,
Prince, P. J.,
Journal of Computational and Applied Mathematics,
6 (1), 1980: pp. 19-26.
"Solving Ordinary Differential Equations I: Nonstiff Problems,
second edition",
Hairer, E.,
Nørsett, S.,
Wanner, G.,
Springer-Verlag, Berlin. 1993, ISBN 3-540-56670-8.
Dormand, J. R., & Prince, P. J. (1980).
A family of embedded Runge-Kutta formulae.
Journal of computational and applied mathematics, 6(1), 19-26.
Hairer, E., Nørsett, S. P., & Wanner, G. (1993).
Solving Ordinary Differential Equations I: Nonstiff Problems,
second edition.
Springer-Verlag, Berlin.
\endverbatim
See also
......
......@@ -29,17 +29,15 @@ Description
References:
\verbatim
"Low-order classical Runge-Kutta formulas with step size control
and their application to some heat transfer problems."
Fehlberg, E.,
NASA Technical Report 315, 1969.
"Solving Ordinary Differential Equations I: Nonstiff Problems,
second edition",
Hairer, E.,
Nørsett, S.,
Wanner, G.,
Springer-Verlag, Berlin. 1993, ISBN 3-540-56670-8.
Fehlberg, E. (1969).
Low-order classical Runge-Kutta formulas with stepsize control
and their application to some heat transfer problems.
NASA Technical Report 315.
Hairer, E., Nørsett, S. P., & Wanner, G. (1993).
Solving Ordinary Differential Equations I: Nonstiff Problems,
second edition.
Springer-Verlag, Berlin.
\endverbatim
This method embedds the 4-th order integration step into the 5-th order step
......
......@@ -29,13 +29,10 @@ Description
References:
\verbatim
"A second-order Rosenbrock method applied to
photochemical dispersion problems",
J. G. Verwer,
E. J. Spee,
J. G. Blom,
W. Hundsdorfer,
Siam Journal on Scientific Computing 01/1999; 20(4):1456-1480.
Verwer, J. G., Spee, E. J., Blom, J. G., & Hundsdorfer, W. (1999).
A second-order Rosenbrock method applied to
photochemical dispersion problems.
SIAM Journal on Scientific Computing, 20(4), 1456-1480.
\endverbatim
SourceFiles
......
......@@ -29,16 +29,11 @@ Description
References:
\verbatim
Sandu et al,
"Benchmarking stiff ODE solvers for atmospheric chemistry problems II
Rosenbrock solvers",
A. Sandu,
J.G. Verwer,
J.G. Blom,
E.J. Spee,
G.R. Carmichael,
F.A. Potra,
Atmospheric Environment, Volume 31, 1997, Issue 20, Pages 3459-3472
Sandu, A., Verwer, J. G., Blom, J. G., Spee, E. J., Carmichael, G. R.,
& Potra, F. A. (1997).
Benchmarking stiff ODE solvers for atmospheric chemistry problems II:
Rosenbrock solvers.
Atmospheric environment, 31(20), 3459-3472.
\endverbatim
SourceFiles
......
......@@ -28,19 +28,17 @@ Description
L-stable embedded Rosenbrock ODE solver of order (3)4.
\verbatim
"Solving Ordinary Differential Equations II: Stiff
and Differential-Algebraic Problems, second edition",
Hairer, E.,
Nørsett, S.,
Wanner, G.,
Springer-Verlag, Berlin. 1996.
Hairer, E., Nørsett, S. P., & Wanner, G. (1996).
Solving Ordinary Differential Equations II:
Stiff and Differential-Algebraic Problems, second edition",
Springer-Verlag, Berlin.
\endverbatim
The default constants are from:
\verbatim
"Implementation of Rosenbrock Methods"
Shampine, L. F.,
ACM Transactions on Mathematical Software, vol. 8, 1982, pp. 93–113.
Shampine, L. F. (1982).
Implementation of Rosenbrock Methods.
ACM Transactions on Mathematical Software, vol. 8, pp. 93–113.
\endverbatim
with which the scheme is more accurate than with the L-Stable coefficients
for small step-size but less stable for large step-size.
......
......@@ -25,12 +25,16 @@ Class
Foam::SIBS
Description
Foam::SIBS
Bader, G. and Deuflhard, P.
"A Semi-Implicit Mid-Point Rule for
Stiff Systems of Ordinary Differential Equations."
Numer. Math. 41, 373-398, 1983.
A semi-implicit mid-point solver for stiff systems of ordinary differential
equations.
Reference:
\verbatim
Bader, G., & Deuflhard, P. (1983).
A semi-implicit mid-point rule for stiff systems
of ordinary differential equations.
Numerische Mathematik, 41(3), 373-398.
\endverbatim
SourceFiles
SIMPR.C
......
......@@ -29,16 +29,11 @@ Description
References:
\verbatim
Sandu et al,
"Benchmarking stiff ODE solvers for atmospheric chemistry problems II
Rosenbrock solvers",
A. Sandu,
J.G. Verwer,
J.G. Blom,
E.J. Spee,
G.R. Carmichael,
F.A. Potra,
Atmospheric Environment, Volume 31, 1997, Issue 20, Pages 3459-3472
Sandu, A., Verwer, J. G., Blom, J. G., Spee, E. J., Carmichael, G. R.,
& Potra, F. A. (1997).
Benchmarking stiff ODE solvers for atmospheric chemistry problems II:
Rosenbrock solvers.
Atmospheric environment, 31(20), 3459-3472.
\endverbatim
SourceFiles
......
......@@ -27,14 +27,12 @@ Class
Description
L-stable, stiffly-accurate embedded Rosenbrock ODE solver of order (3)4.
References:
Reference:
\verbatim
"Solving Ordinary Differential Equations II: Stiff
and Differential-Algebraic Problems, second edition",
Hairer, E.,
Nørsett, S.,
Wanner, G.,
Springer-Verlag, Berlin. 1996.
Hairer, E., Nørsett, S. P., & Wanner, G. (1996).
Solving Ordinary Differential Equations II:
Stiff and Differential-Algebraic Problems, second edition",
Springer-Verlag, Berlin.
\endverbatim
SourceFiles
......
......@@ -28,14 +28,12 @@ Description
An extrapolation-algorithm, based on the linearly implicit Euler method
with step size control and order selection.
The implementation is based on the SEULEX algorithm in
Reference:
\verbatim
"Solving Ordinary Differential Equations II: Stiff
and Differential-Algebraic Problems, second edition",
Hairer, E.,
Nørsett, S.,
Wanner, G.,
Springer-Verlag, Berlin. 1996.
Hairer, E., Nørsett, S. P., & Wanner, G. (1996).
Solving Ordinary Differential Equations II:
Stiff and Differential-Algebraic Problems, second edition",
Springer-Verlag, Berlin.
\endverbatim
SourceFiles
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