Results 41 to 50 of about 920 (176)
Hacettepe Journal of Mathematics and Statistics, 2016 Summary: In this paper, a numerical method is developed for solving linear and nonlinear integro-partial differential equations in terms of the two variables Jacobi polynomials. First, some properties of these polynomials and several theorems are presented then a generalized approach implementing a collocation method in combination with two dimensional
BORHANİFAR, Abdollah, SADRİ, Khadijeh
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Reinforcement Learning for Jump‐Diffusions, With Financial Applications
Mathematical Finance, EarlyView.ABSTRACT We study continuous‐time reinforcement learning (RL) for stochastic control in which system dynamics are governed by jump‐diffusion processes. We formulate an entropy‐regularized exploratory control problem with stochastic policies to capture the exploration–exploitation balance essential for RL.
Xuefeng Gao, Lingfei Li, Xun Yu Zhou
wiley +1 more source
Solutions of Nonlinear Integro-Partial Differential Equations by the Method of G′/G,1/G
Advances in Mathematical Physics, 2022 In this article, a special expansion method is implemented in solving nonlinear integro-partial differential equations of 2+1-dimensional using a special expansion method of G′/G,1/G. We obtained the solutions for 2+1-dimensional nonlinear integro-differential equations in real physical phenomena. The method is applied on 2+1-dimensional space time and
Daba Meshesha Gusu, Chala Bulo
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Random Carbon Tax Policy and Investment Into Emission Abatement Technologies
Mathematical Finance, EarlyView.ABSTRACT We analyze the problem of a profit‐maximizing electricity producer, subject to carbon taxes, who decides on investments into CO2$\rm CO_2$ abatement technologies. We assume that the carbon tax policy is random and that the investment in the abatement technology is divisible, irreversible, and subject to transaction costs.
Katia Colaneri +2 more
wiley +1 more source
Nonlinear functional integrodifferential equations in Hilbert space
International Journal of Mathematics and Mathematical Sciences, 1999 Let X be a Hilbert space and let Ω⊂Rn be a bounded domain with smooth boundary ∂Ω. We establish the existence and norm estimation of solutions for the parabolic partial functional integro-differential equation in X by using the fundamental solution.
J. Y. Park, S. Y. Lee, M. J. Lee
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International Journal of Mathematics and Mathematical Sciences, 2020 In this article, we utilize the G′/G2-expansion method and the Jacobi elliptic equation method to analytically solve the (2 + 1)-dimensional integro-differential Jaulent–Miodek equation for exact solutions.
Supaporn Kaewta +2 more
doaj +1 more source
Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA
Communications on Pure and Applied Mathematics, Volume 79, Issue 10, Page 2291-2369, October 2026.ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous +2 more
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Journal of Pure & Applied Sciences, 2021 This paper depends on some concepts related to the triple Shehu transform; and how its various properties can be used to solve three-dimensional linear Volterra Integro-Partial Differential Equations; in terms of obtaining the exact solutions. Some examples will be studied to support the effectiveness of this transform.
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Quantum Heat Current in Terahertz‐Driven Phonon Systems
Advanced Physics Research, Volume 5, Issue 8, August 2026.We develop a quantum mechanical description of ultrafast thermodynamics on the example of a laser‐excited phonon mode. We show that the resulting quantum heat current exhibits non‐Markovian dynamics, which can be controlled by the pulse length. ABSTRACT The advent of high‐intensity ultrafast laser pulses has opened new opportunities for controlling and
Yulong Qiao, R. Matthias Geilhufe
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International Journal for Numerical Methods in Fluids, Volume 98, Issue 8, Page 980-999, August 2026.This work aims to develop a generalised and efficient semi‐analytical method that combines the Laplace decomposition method with Pade approximation (LDMPA) to solve multidimensional nonlinear integro‐partial differential equation. For a one‐dimension case, explicit (closed‐form) solutions for the number density functions are derived for the first time.
Somveer Keshav +4 more
wiley +1 more source