QuantLib
: a free/open-source library for quantitative finance
fully annotated source code - version 1.34
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ql
methods
finitedifferences
dplusdminus.hpp
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/* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
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/*
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Copyright (C) 2000, 2001, 2002, 2003 RiskMap srl
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This file is part of QuantLib, a free-software/open-source library
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for financial quantitative analysts and developers - http://quantlib.org/
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QuantLib is free software: you can redistribute it and/or modify it
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under the terms of the QuantLib license. You should have received a
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copy of the license along with this program; if not, please email
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<quantlib-dev@lists.sf.net>. The license is also available online at
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<http://quantlib.org/license.shtml>.
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This program is distributed in the hope that it will be useful, but WITHOUT
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ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
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FOR A PARTICULAR PURPOSE. See the license for more details.
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*/
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/*! \file dplusdminus.hpp
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\brief \f$ D_{+}D_{-} \f$ matricial representation
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*/
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#ifndef quantlib_d_plus_d_minus_h
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#define quantlib_d_plus_d_minus_h
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#include <
ql/methods/finitedifferences/tridiagonaloperator.hpp
>
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namespace
QuantLib
{
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//! \f$ D_{+}D_{-} \f$ matricial representation
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/*! The differential operator \f$ D_{+}D_{-} \f$ discretizes the
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second derivative with the second-order formula
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\f[ \frac{\partial^2 u_{i}}{\partial x^2} \approx
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\frac{u_{i+1}-2u_{i}+u_{i-1}}{h^2} = D_{+}D_{-} u_{i}
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\f]
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\ingroup findiff
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\test the correctness of the returned values is tested by
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checking them against numerical calculations.
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*/
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class
DPlusDMinus
:
public
TridiagonalOperator
{
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public
:
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DPlusDMinus
(
Size
gridPoints,
Real
h);
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};
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// inline definitions
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inline
DPlusDMinus::DPlusDMinus
(
Size
gridPoints,
Real
h)
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:
TridiagonalOperator
(gridPoints) {
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setFirstRow
(0.0,0.0);
// linear extrapolation
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setMidRows
(1/(h*h),-2/(h*h),1/(h*h));
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setLastRow
(0.0,0.0);
// linear extrapolation
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}
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}
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#endif
QuantLib::DPlusDMinus
matricial representation
Definition:
dplusdminus.hpp:43
QuantLib::DPlusDMinus::DPlusDMinus
DPlusDMinus(Size gridPoints, Real h)
Definition:
dplusdminus.hpp:51
QuantLib::TridiagonalOperator
Base implementation for tridiagonal operator.
Definition:
tridiagonaloperator.hpp:42
QuantLib::TridiagonalOperator::setLastRow
void setLastRow(Real, Real)
Definition:
tridiagonaloperator.hpp:171
QuantLib::TridiagonalOperator::setMidRows
void setMidRows(Real, Real, Real)
Definition:
tridiagonaloperator.hpp:161
QuantLib::TridiagonalOperator::setFirstRow
void setFirstRow(Real, Real)
Definition:
tridiagonaloperator.hpp:144
QuantLib::Real
QL_REAL Real
real number
Definition:
types.hpp:50
QuantLib::Size
std::size_t Size
size of a container
Definition:
types.hpp:58
QuantLib
Definition:
any.hpp:35
tridiagonaloperator.hpp
tridiagonal operator
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