Changes between Version 7 and Version 8 of SoC2013

Timestamp:

Mar 2, 2013, 9:29:22 AM (10 years ago)

Author:

mariomulansky

Comment:

--

SoC2013

@@ -107 +107 @@
 ==== Implicit Routines ====
 
-The current focus of odeint is on _explicit_ routines, namely the Runge-Kutta schemes or the multi-step methods.
+The current focus of odeint is on '''explicit''' routines, namely the Runge-Kutta schemes or the multi-step methods.
 However, we would like to expand odeint by adding implicit routines in the same flexible manner.
+Implicit routines are important when dealing with ''stiff'' systems, but also ensure stability in some cases of discretized partial differential equations (PDEs).
 At the moment, odeint provides an implicit Euler and Rosenbrock algorithm, but the implementation is restricted to Boost.uBlas.
 As one of the main objectives of odeint is to provide highly flexible algorithms, we want to change this implementation to have a greater flexibility and interchangeability similar to that of the explicit routines.
@@ -114 +115 @@
  * Develop a design on how the requirements on implicit routines can be modularized
  * Implement a prototype showing the usability of the design
- * Change the existing routines to the new exchangeable design
- * Implement other backends (MTL, eigen) to demonstrate the flexibility
- * Provide examples and a documentation
+ * Change the existing routines to the new design
+ * Implement other backends (MTL, eigen,...) to demonstrate the flexibility
+ * Provide examples and documentation
  * (Add more implicit routines, if time permits)
 
@@ -122 +123 @@
 
 The project will be mentored by Karsten Ahnert and Mario Mulansky.
+
+*[http://en.wikipedia.org/wiki/Numerical_methods_for_ordinary_differential_equations]
+*[http://en.wikipedia.org/wiki/Runge%E2%80%93Kutta_methods]
+*[http://en.wikipedia.org/wiki/Explicit_and_implicit_methods]