/usr/share/axiom-20170501/src/algebra/PDECAT.spad is in axiom-source 20170501-3.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 | )abbrev category PDECAT PartialDifferentialEquationsSolverCategory
++ Author: Brian Dupee
++ Date Created: February 1995
++ Date Last Updated: June 1995
++ Description:
++ \axiomType{PartialDifferentialEquationsSolverCategory} is the
++ \axiom{category} for describing the set of PDE solver \axiom{domains}
++ with \axiomFun{measure} and \axiomFun{PDEsolve}.
-- PDEA ==> Record(xmin:F,xmax:F,ymin:F,ymax:F,ngx:NNI,ngy:NNI,_
-- pde:List Expression Float, bounds:List List Expression Float,_
-- st:String, tol:DF)
-- measure:(RoutinesTable,PDEA) -> Record(measure:F,explanations:String)
-- ++ measure(R,args) calculates an estimate of the ability of a particular
-- ++ method to solve a problem.
-- ++
-- ++ This method may be either a specific NAG routine or a strategy (such
-- ++ as transforming the function from one which is difficult to one which
-- ++ is easier to solve).
-- ++
-- ++ It will call whichever agents are needed to perform analysis on the
-- ++ problem in order to calculate the measure. There is a parameter,
-- ++ labelled \axiom{sofar}, which would contain the best compatibility
-- ++ found so far.
-- PDESolve: PDEA -> Result
-- ++ PDESolve(args) performs the integration of the
-- ++ function given the strategy or method returned by \axiomFun{measure}.
PartialDifferentialEquationsSolverCategory() : Category == SIG where
DFG ==> DoubleFloat
NNIG ==> NonNegativeInteger
INTG ==> Integer
MDFG ==> Matrix DoubleFloat
PDECG ==> Record(start:DFG, finish:DFG, grid:NNIG, boundaryType:INTG,
dStart:MDFG, dFinish:MDFG)
LEDFG ==> List Expression DoubleFloat
PDEBG ==> Record(pde:LEDFG, constraints:List PDECG, f:List LEDFG,
st:String, tol:DFG)
SIG ==> SetCategory with
measure : (RoutinesTable,PDEBG) ->
Record(measure:Float,explanations:String)
++ measure(R,args) calculates an estimate of the ability of a particular
++ method to solve a problem.
++
++ This method may be either a specific NAG routine or a strategy (such
++ as transforming the function from one which is difficult to one which
++ is easier to solve).
++
++ It will call whichever agents are needed to perform analysis on the
++ problem in order to calculate the measure. There is a parameter,
++ labelled \axiom{sofar}, which would contain the best compatibility
++ found so far.
PDESolve : PDEBG -> Result
++ PDESolve(args) performs the integration of the
++ function given the strategy or method returned by \axiomFun{measure}.
|