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020 _a9781137435699
_q(electronic bk.)
020 _z9781137435682
035 _a(MiAaPQ)EBC5017864
035 _a(Au-PeEL)EBL5017864
035 _a(CaPaEBR)ebr11431316
035 _a(OCoLC)1003265149
040 _aMiAaPQ
_beng
_erda
_epn
_cMiAaPQ
_dMiAaPQ
050 4 _aHG176.7
100 1 _ain 't Hout, Karel.
245 1 0 _aNumerical Partial Differential Equations in Finance Explained :
_bAn Introduction to Computational Finance.
250 _a1st ed.
264 1 _aLondon :
_bPalgrave Macmillan UK,
_c2017.
264 4 _c©2017.
300 _a1 online resource (134 pages)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aFinancial Engineering Explained Series
505 0 _aIntro -- 1 Financial Option Valuation -- 1.1 Financial Options -- 1.2 The Black-Scholes PDE -- 2 Partial Differential Equations -- 2.1 Convection-Diffusion-Reaction Equations -- 2.2 The Model Equation -- 2.3 Boundary Conditions -- 2.4 Notes and References -- 3 Spatial Discretization I -- 3.1 Method of Lines -- 3.2 Finite Difference Formulas -- 3.3 Stability -- 3.4 Notes and References -- 4 Spatial Discretization II -- 4.1 Boundary Conditions -- 4.2 Nonuniform Grids -- 4.3 Nonsmooth Initial Data -- 4.4 Mixed Central/Upwind Discretization -- 4.5 Notes and References -- 5 Numerical Study: Space -- 5.1 Cell Averaging -- 5.2 Nonuniform Grids -- 5.3 Boundary Conditions -- 6 The Greeks -- 6.1 The Greeks -- 6.2 Numerical Study -- 6.3 Notes and References -- 7 Temporal Discretization -- 7.1 The -Methods -- 7.2 Stability and Convergence -- 7.3 Maximum Norm and Positivity -- 7.4 Notes and References -- 8 Numerical Study: Time -- 8.1 Explicit Method -- 8.2 Implicit Methods -- 8.3 Notes and References -- 9 Cash-or-Nothing Options -- 10 Barrier Options -- 11 American-Style Options -- 11.1 American-Style Options -- 11.2 LCP Solution Methods -- 11.3 Numerical Study -- 11.4 Notes and References -- 12 Merton Model -- 12.1 Merton Model -- 12.2 Spatial Discretization -- 12.3 IMEX Schemes -- 12.4 Numerical Study -- 12.5 Notes and References -- 13 Two-Asset Options -- 13.1 Two-Asset Options -- 13.2 Spatial Discretization -- 13.3 ADI Schemes -- 13.4 Numerical Study -- 13.5 Notes and References -- Appendix A: Wiener Process -- Appendix B: Feynman-Kac Theorem -- Appendix C: Down-and-Out Put Option Value -- Appendix D: Max-of-Two-Assets Call Option Value -- Bibliography -- Index.
588 _aDescription based on publisher supplied metadata and other sources.
590 _aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650 0 _aFinance.
650 0 _aFinancial engineering.
650 0 _aBusiness mathematics.
655 4 _aElectronic books.
700 1 _ain 't Hout, Karel.
776 0 8 _iPrint version:
_ain 't Hout, Karel
_tNumerical Partial Differential Equations in Finance Explained
_dLondon : Palgrave Macmillan UK,c2017
_z9781137435682
797 2 _aProQuest (Firm)
830 0 _aFinancial Engineering Explained Series
856 4 0 _uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=5017864
_zClick to View
999 _c129427
_d129427