fdm2dimsolver.hpp

/* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
 
/*
 Copyright (C) 2010 Klaus Spanderen
 
 This file is part of QuantLib, a free-software/open-source library
 for financial quantitative analysts and developers - http://quantlib.org/
 
 QuantLib is free software: you can redistribute it and/or modify it
 under the terms of the QuantLib license.  You should have received a
 copy of the license along with this program; if not, please email
 <quantlib-dev@lists.sf.net>. The license is also available online at
 <http://quantlib.org/license.shtml>.
 
 This program is distributed in the hope that it will be useful, but WITHOUT
 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
 FOR A PARTICULAR PURPOSE.  See the license for more details.
*/
 
#ifndef quantlib_fdm_2_dim_solver_hpp
#define quantlib_fdm_2_dim_solver_hpp
 
#include <ql/handle.hpp>
#include <ql/math/matrix.hpp>
#include <ql/patterns/lazyobject.hpp>
#include <ql/methods/finitedifferences/solvers/fdmsolverdesc.hpp>
#include <ql/methods/finitedifferences/solvers/fdmbackwardsolver.hpp>
 
 
namespace QuantLib {
 
    class BicubicSpline;
    class FdmSnapshotCondition;
 
    class Fdm2DimSolver : public LazyObject {
      public:
        Fdm2DimSolver(const FdmSolverDesc& solverDesc,
                      const FdmSchemeDesc& schemeDesc,
                      ext::shared_ptr<FdmLinearOpComposite> op);
 
        Real interpolateAt(Real x, Real y) const;
        Real thetaAt(Real x, Real y) const;
 
        Real derivativeX(Real x, Real y) const;
        Real derivativeY(Real x, Real y) const;
        Real derivativeXX(Real x, Real y) const;
        Real derivativeYY(Real x, Real y) const;
        Real derivativeXY(Real x, Real y) const;
 
      protected:
        void performCalculations() const override;
 
      private:
        const FdmSolverDesc solverDesc_;
        const FdmSchemeDesc schemeDesc_;
        const ext::shared_ptr<FdmLinearOpComposite> op_;
 
        const ext::shared_ptr<FdmSnapshotCondition> thetaCondition_;
        const ext::shared_ptr<FdmStepConditionComposite> conditions_;
 
        std::vector<Real> x_, y_, initialValues_;
        mutable Matrix resultValues_;
        mutable ext::shared_ptr<BicubicSpline> interpolation_;
    };
}
 
#endif