The Tikhonov regularization method for the inverse source problem of time fractional heat equation in the view of ABC-fractional technique

S Djennadi, N Shawagfeh, MS Osman… - Physica …, 2021 - iopscience.iop.org
This research considers an inverse source problem for fractional diffusion equation that
containing fractional derivative with non-singular and non-local kernel, namely, Atangana …

A fractional Tikhonov regularization method for an inverse backward and source problems in the time-space fractional diffusion equations

S Djennadi, N Shawagfeh, OA Arqub - Chaos, Solitons & Fractals, 2021 - Elsevier
In this research, we deal with two types of inverse problems for diffusion equations involving
Caputo fractional derivatives in time and fractional Sturm-Liouville operator for space. The …

[图书][B] Regularization methods in Banach spaces

T Schuster, B Kaltenbacher, B Hofmann… - 2012 - books.google.com
Regularization methods aimed at finding stable approximate solutions are a necessary tool
to tackle inverse and ill-posed problems. Inverse problems arise in a large variety of …

A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators

B Hofmann, B Kaltenbacher, C Poeschl… - Inverse …, 2007 - iopscience.iop.org
There exists a vast literature on convergence rates results for Tikhonov regularized
minimizers. We are concerned with the solution of nonlinear ill-posed operator equations …

Regularization-robust preconditioners for time-dependent PDE-constrained optimization problems

JW Pearson, M Stoll, AJ Wathen - SIAM Journal on Matrix Analysis and …, 2012 - SIAM
In this article, we motivate, derive, and test effective preconditioners to be used with the
Minres algorithm for solving a number of saddle point systems which arise in PDE …

Solving pde-constrained control problems using operator learning

R Hwang, JY Lee, JY Shin, HJ Hwang - Proceedings of the AAAI …, 2022 - ojs.aaai.org
The modeling and control of complex physical systems are essential in real-world problems.
We propose a novel framework that is generally applicable to solving PDE-constrained …

An efficient numerical scheme to approach the time fractional black–scholes model using orthogonal gegenbauer polynomials

YE Aghdam, H Mesgarani, A Amin… - Computational …, 2024 - Springer
This paper proposes an efficient procedure to estimate the fractional Black–Scholes model
in time-dependent on the market prices of European options using the composition of the …

[PDF][PDF] Research Online

VNT Le, B Apopei, K Alameh - Sciences, 2018 - academia.edu
Abstract© The Institution of Engineering and Technology 2019. The modulus switching
technique has been used in some cryptographic applications as well as in cryptanalysis. For …

Financial modeling

S Crépey - Springer Finance, DOI, 2013 - Springer
This is a book on financial modeling that emphasizes computational aspects. It gives a
unified perspective on derivative pricing and hedging across asset classes and is addressed …

Bundling Variety, Usage, or Both? A Multi-Service Analysis of Pay-Per-Use and Subscription Pricing

CA Wu, C Jin, Q Liu - A Multi-Service Analysis of Pay-Per-Use and …, 2023 - papers.ssrn.com
We depart from the classic bundling literature on single-unit purchases and develop a multi-
unit demand model in which customers decide both the variety and volume of their …