[MURG] [Ecell-devel] ODE/DAE modules development plan (fwd from shafi@sfc.keio.ac.jp)

[Eugen Leitl]

----- Forwarded message from Kouichi Takahashi <shafi at sfc.keio.ac.jp> -----

From: Kouichi Takahashi <shafi at sfc.keio.ac.jp>
Date: Mon, 01 Dec 2003 16:11:24 +0900
To: ecell-devel at lists.sourceforge.net
Cc: shafi at sfc.keio.ac.jp
Subject: [Ecell-devel] ODE/DAE modules development plan
X-Mailer: Ximian Evolution 1.4.5 (1.4.5-7) 


Regarding differential equation-related (ODE/DAE) features of E-Cell 3,
here is the current short and middle-term plan, which I believe is the
agreement between me and the maintainer of ODE/DAE Steppers, Kazunari
Kaizu.


Eventually, E-Cell 3 will have these two primary Steppers for
differential and differential-algebraic systems:

- ODEStepper
    This name is given to the best ODE solver implemented on E-Cell 3 
    at that time.   However, my plan is to give this name to a Stepper
    that satisfies at least these criteria: (1) single step,
    self-starting (2) adaptive step sizing, (3) effective local
    consistency of at least fourth order, (4) stiffness proof (at least
    A-stable and stiffly accurate).    (4) will probably be achieved by
    employing adaptive switching between implicit/explicit schema.   

    I hope we can launch this in the first half of 2004.


- DAEStepper
    The best DAE solver module will be given this name.  I expect
    the Stepper based on Radau5 scheme, on which Kazunari is now working
    on, would show enough benchmark to become this.   The new Stepper
    is now under performance tuning and debugging, and perhaps be
    shipped with the next version 3.1.100.   This will be available
    before ODEStepper because it will be a mix of this DAEStepper and
    already available ODE45Stepper.   this can also be used as an ODE
    solver for still systems.
    The only difference between ODE and DAE Steppers would be that
    DAEStepper runs relatively slow on non-stiff systems.



-sha







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