diff --git a/src/ODE/ODESolvers/RKCK45/RKCK45.H b/src/ODE/ODESolvers/RKCK45/RKCK45.H
index 356552761ea6dd60a231a2e8c9223594d6beb65c..f655f4c883885912ea3f979ef1202560d28a4beb 100644
--- a/src/ODE/ODESolvers/RKCK45/RKCK45.H
+++ b/src/ODE/ODESolvers/RKCK45/RKCK45.H
@@ -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
diff --git a/src/ODE/ODESolvers/RKDP45/RKDP45.H b/src/ODE/ODESolvers/RKDP45/RKDP45.H
index 75aa756f9ccf3e6050e8b357a06d00aea21bfe65..cda6b1506d2aa1185b9dc57c75437b2bf8ad1225 100644
--- a/src/ODE/ODESolvers/RKDP45/RKDP45.H
+++ b/src/ODE/ODESolvers/RKDP45/RKDP45.H
@@ -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
diff --git a/src/ODE/ODESolvers/RKF45/RKF45.H b/src/ODE/ODESolvers/RKF45/RKF45.H
index cc967715e1f41c60401ca5e54cb5ac40ec62e321..ebe17c272d5fdc132c0ff77b9eaf4e032fc44195 100644
--- a/src/ODE/ODESolvers/RKF45/RKF45.H
+++ b/src/ODE/ODESolvers/RKF45/RKF45.H
@@ -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
diff --git a/src/ODE/ODESolvers/Rosenbrock12/Rosenbrock12.H b/src/ODE/ODESolvers/Rosenbrock12/Rosenbrock12.H
index 44d86a8505ce4db19d7a1931e0379cb76e4b2f6f..2a16a37935a333156d40fb8fadc15eda7de52484 100644
--- a/src/ODE/ODESolvers/Rosenbrock12/Rosenbrock12.H
+++ b/src/ODE/ODESolvers/Rosenbrock12/Rosenbrock12.H
@@ -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
diff --git a/src/ODE/ODESolvers/Rosenbrock23/Rosenbrock23.H b/src/ODE/ODESolvers/Rosenbrock23/Rosenbrock23.H
index 571a9e7ff89c3c918084e95f0b797ffccedef3cd..43691ed9c3849e7227255055af77a1e91f568e15 100644
--- a/src/ODE/ODESolvers/Rosenbrock23/Rosenbrock23.H
+++ b/src/ODE/ODESolvers/Rosenbrock23/Rosenbrock23.H
@@ -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
diff --git a/src/ODE/ODESolvers/Rosenbrock34/Rosenbrock34.H b/src/ODE/ODESolvers/Rosenbrock34/Rosenbrock34.H
index f72db63e7c08981eb44432d6509e30b11b16a80e..547de7086c0f2c30a0d2240cb2b1f2ceb22f5018 100644
--- a/src/ODE/ODESolvers/Rosenbrock34/Rosenbrock34.H
+++ b/src/ODE/ODESolvers/Rosenbrock34/Rosenbrock34.H
@@ -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.
diff --git a/src/ODE/ODESolvers/SIBS/SIBS.H b/src/ODE/ODESolvers/SIBS/SIBS.H
index 9f03753019c008028fbc0b82530ada4b8418891e..179fe5041af1387923bc483cec54c796dec28d66 100644
--- a/src/ODE/ODESolvers/SIBS/SIBS.H
+++ b/src/ODE/ODESolvers/SIBS/SIBS.H
@@ -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
diff --git a/src/ODE/ODESolvers/rodas23/rodas23.H b/src/ODE/ODESolvers/rodas23/rodas23.H
index 42839bfa8ff8d7916e1bc60fb3d852bd87bba583..85ffbba994764d4afd7fac6896eeb18660ce7b84 100644
--- a/src/ODE/ODESolvers/rodas23/rodas23.H
+++ b/src/ODE/ODESolvers/rodas23/rodas23.H
@@ -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
diff --git a/src/ODE/ODESolvers/rodas34/rodas34.H b/src/ODE/ODESolvers/rodas34/rodas34.H
index 9098a1e8b0be2ec40b163b4da5628ac3805dc7a2..0d21ad6aed19a8f045b0cf350fa337431b5e37d0 100644
--- a/src/ODE/ODESolvers/rodas34/rodas34.H
+++ b/src/ODE/ODESolvers/rodas34/rodas34.H
@@ -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
diff --git a/src/ODE/ODESolvers/seulex/seulex.H b/src/ODE/ODESolvers/seulex/seulex.H
index 8739618ee7f23fc51c17fddc91f1b399be30709a..6f1d76994e66231e9cfe5d9470ad92e0289b1f65 100644
--- a/src/ODE/ODESolvers/seulex/seulex.H
+++ b/src/ODE/ODESolvers/seulex/seulex.H
@@ -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