new book "Numerical Methods in Computational Finance, a PDE/FDM Approach" (John Wiley, 2021) by Daniel J. Duffy
Daniel J. Duffy, PhD
Author/trainer/mentor in computational finance: maths (pure, applied, numerical), ODE/PDE/FDM, C++11/C++20, Python, C#, modern software design
https://media.wiley.com/product_data/coverImage300/74/11197196/1119719674.jpg
The Wiley site, detailed TOC
See my comments/links below
The Amazon site
See my comments/links below
Author/trainer/mentor in computational finance: maths (pure, applied, numerical), ODE/PDE/FDM, C++11/C++20, Python, C#, modern software design
3 年Update of publication date, from publisher. ? I checked with the Manufacturing team and they have confirmed that stock has arrived and has begun shipping from the warehouse. The new in-store date is March 10th. ? The eBooks are on track for March 11th.
Deep Learning Specialist, Big Data Analytics Specialist, Machine Learning. CEO de mi vida.
3 年Congrats, Daniel Duffy! For sure it's a great book, at least as good as your comments.
Author/trainer/mentor in computational finance: maths (pure, applied, numerical), ODE/PDE/FDM, C++11/C++20, Python, C#, modern software design
3 年Several chapters are devoted to FDM for 2-factor European/American options We tested the relatrve performance on spread options for the same level of accuracy: 1 Saulyev ADE : 1 second 2 Barakat and Clark 2.2 3 Yanenko 4.2 4 "Classic" ADI 4.0 (4 times slower!) 5 Predictor-Corrector 3.8 6 Marchuk-Strang 7.6 . Methods 1+2 do not involve solving matrix systems. 3-6 solve tridiagonal systems. . It is possible to compute greeks by wtiting them as PDEs and using CSE approach (essentially tbe Cauchy-Kowalewski (Lax-Wendroff) technique). We did it for 1-factor and CSE for spreads should also be fast as well. . Sauly'ev ADE is also the easiest to program. . We mapped PDEs to unit square making boundary conditions easy (Fichera theory). . Schemes 1 and 2 can easily be applied to 3-factor problems., . The methods are also applicble to fixed income (Hull-White, CIR-style, mean-reverting).
Author/trainer/mentor in computational finance: maths (pure, applied, numerical), ODE/PDE/FDM, C++11/C++20, Python, C#, modern software design
3 年disclaimer: the book contains no polls.
Author/trainer/mentor in computational finance: maths (pure, applied, numerical), ODE/PDE/FDM, C++11/C++20, Python, C#, modern software design
3 年Finally, I can give some publication dates on my PDE/FDM book eBooks will publish on March 11, 2022. In store date (the date books are available at retail) is March 17, 2022. Give or take some "slack".. in the supply chain. Something to show on St. Patrick's Day ??