fdmlocalvolfwdop.hpp

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/* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
 
/*
 Copyright (C) 2015 Johannes Göttker-Schnetmann
 Copyright (C) 2015 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.
*/
 
/*! \file fdmlocalvolfwdop.hpp
    \brief local volatility linear operator for the Fokker-Planck forward equation
*/
 
#ifndef quantlib_fdm_local_vol_fwd_op_hpp
#define quantlib_fdm_local_vol_fwd_op_hpp
 
#include <ql/processes/blackscholesprocess.hpp>
#include <ql/methods/finitedifferences/operators/firstderivativeop.hpp>
#include <ql/methods/finitedifferences/operators/triplebandlinearop.hpp>
#include <ql/methods/finitedifferences/operators/fdmlinearopcomposite.hpp>
 
namespace QuantLib {
 
    class FdmLocalVolFwdOp : public FdmLinearOpComposite {
      public:
        FdmLocalVolFwdOp(const ext::shared_ptr<FdmMesher>& mesher,
                         const ext::shared_ptr<Quote>& spot,
                         ext::shared_ptr<YieldTermStructure> rTS,
                         ext::shared_ptr<YieldTermStructure> qTS,
                         const ext::shared_ptr<LocalVolTermStructure>& localVol,
                         Size direction = 0);
 
        Size size() const override;
        void setTime(Time t1, Time t2) override;
 
        Array apply(const Array& r) const override;
        Array apply_mixed(const Array& r) const override;
        Array apply_direction(Size direction, const Array& r) const override;
        Array solve_splitting(Size direction, const Array& r, Real s) const override;
        Array preconditioner(const Array& r, Real s) const override;
 
        std::vector<SparseMatrix> toMatrixDecomp() const override;
 
      private:
        const ext::shared_ptr<FdmMesher> mesher_;
        const ext::shared_ptr<YieldTermStructure> rTS_, qTS_;
        const ext::shared_ptr<LocalVolTermStructure> localVol_;
        const Array x_;
        const FirstDerivativeOp  dxMap_;
        const TripleBandLinearOp dxxMap_;
        TripleBandLinearOp mapT_;
        const Size direction_;
    };
}
 
#endif