Results 11 to 20 of about 72 (69)

Finite-Series Solutions of Hybrid PDE Systems for Conditional Moments of Regime-Switching Extended CEV Processes with Applications in Finance

open access: yesMathematics
This paper develops finite-series solutions of a hybrid system of interconnected partial differential equations for computing the conditional moments of regime-switching extended constant elasticity of variance processes with generalized drift and ...
Parun Juntanon   +2 more
doaj   +1 more source

Enhanced Feynman-Kac Formula for Nonlinear Uncertainty Quantification Problems

open access: yesHighlights in Science, Engineering and Technology
Uncertainty qualification (UQ) issues and partial differential equations (PDEs) are becoming hot topics in the fields of physic and engineering. There are a various number of strategies for handling unknown linear PDEs, including Monte Carlo and the polynomial regression approach.
He Xu, Xueting Li, Wendi Cai
openaire   +1 more source

Feynman-Kac Formula for Time-Dependent Nonlinear Schrödinger Equations with Applications in Numerical Approximations

open access: yes
In this paper, we present a novel Feynman-Kac formula and investigate learning-based methods for approximating general nonlinear time-dependent Schrödinger equations which may be high-dimensional. Our formulation integrates both the Fisk-Stratonovich and Itô integrals within the framework of backward stochastic differential equations (BSDEs). Utilizing
Cheung, Hang, Qiu, Jinniao, Yang, Yang
openaire   +2 more sources

Quantum effects in an expanded Black-Scholes model. [PDF]

open access: yesEur Phys J B, 2022
Bhatnagar A, Vvedensky DD.
europepmc   +1 more source

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