Analysis and simulation of generalized Langevin equations with non-Gaussian orthogonal forces.

Συγγραφείς: Kiefer, Henrik¹, Héry, Benjamin J. A.¹, Tepper, Lucas¹, Dalton, Benjamin A.¹, Ayaz, Cihan¹, Netz, Roland R.¹ rnetz@physik.fu-berlin.de

Πηγή: Journal of Chemical Physics. 11/14/2025, Vol. 163 Issue 18, p1-10. 10p.

Θεματικοί όροι: *LANGEVIN equations, *STOCHASTIC differential equations, *ORTHOGONAL curves, *GAUSSIAN distribution, *DIHEDRAL angles

Quantum dynamics of a cantilever under combined additive and parametric noise: Implications for squeezing and sensitivity control.

Συγγραφείς: Al-Sawai, Wael M.¹ walsawai@gmail.com

Πηγή: Journal of Applied Physics. 10/28/2025, Vol. 138 Issue 16, p1-12. 12p.

Θεματικοί όροι: *QUANTUM theory, *DIFFERENTIAL equations, *QUANTUM states, *QUANTUM fluctuations, *QUANTUM noise

Fractal design based on multi-scroll hidden attractor and its application in image encryption.

Συγγραφείς: Tian, Ying¹ goodldr@163.com, Liu, Deren^2,3

Πηγή: Journal of Applied Physics. 8/28/2025, Vol. 138 Issue 8, p1-22. 22p.

Θεματικοί όροι: *IMAGE encryption, *DIFFERENTIAL equations, *CRYPTOGRAPHY, *FRACTALS, *ELECTROMAGNETISM

Error Oriented Tau Method for Systems of Linear Ordinary Differential Equations with Polynomial Coefficients

Συγγραφείς: Berdnikov, Alexander, Bulyanitsa, Anton, Evstrapov, Anatoly, Krasnova, Nadezhda, Solovyev, Konstantin

Πηγή: 2025 International Conference on Electrical Engineering and Photonics (EExPolytech) Electrical Engineering and Photonics (EExPolytech), 2025 International Conference on. :151-154 Oct, 2025

Relation: 2025 International Conference on Electrical Engineering and Photonics (EExPolytech)

Artificial Neural Networks for Solving Partial Differential Equations: A Deep Learning Approach

Συγγραφείς: Nouna, Soumaya, Nouna, Assia, Tammouch, Ilyas, Elouafi, Abdelamine

Πηγή: 2025 11th International Conference on Optimization and Applications (ICOA) Optimization and Applications (ICOA), 2025 11th International Conference on. :1-6 Oct, 2025

Relation: 2025 11th International Conference on Optimization and Applications (ICOA)

Nonlinear Systems of PDEs Admitting Infinite‐Dimensional Lie Algebras and Their Connection With Ricci Flows. II: The Two‐Dimensional Space Case.

Συγγραφείς: Cherniha, Roman^1,2 (AUTHOR) r.m.cherniha@gmail.com, King, John R.¹ (AUTHOR)

Πηγή: Studies in Applied Mathematics. Oct2025, Vol. 155 Issue 4, p1-15. 15p.

Θεματικοί όροι: PARTIAL differential equations, INFINITE dimensional Lie algebras, NONLINEAR systems, ORDINARY differential equations, SYMMETRY, RICCI flow, GEOMETRIC analysis

Discovery of discretized differential equations from data: Benchmarking and application to a plasma system.

Συγγραφείς: Faraji, F.¹ (AUTHOR) f.faraji20@imperial.ac.uk, Reza, M.¹ (AUTHOR), Knoll, A.¹ (AUTHOR)

Πηγή: Journal of Applied Physics. 3/28/2025, Vol. 137 Issue 12, p1-34. 34p.

Θεματικοί όροι: *ORDINARY differential equations, *PARTIAL differential equations, *FLUID flow, *DIFFERENTIAL equations, *REDUCED-order models

Thermal investigation of micro-polar tangent hyperbolic flow using a hybrid nanofluid approach.

Συγγραφείς: Abrar, Muhammad Nasir¹ (AUTHOR) nasirabrar10@gmail.com, Kosar, Shahzana² (AUTHOR), Razzaq, Raheela³ (AUTHOR)

Πηγή: Journal of Applied Physics. 1/21/2025, Vol. 137 Issue 3, p1-14. 14p.

Θεματικοί όροι: *NUMERICAL solutions to differential equations, *NONLINEAR differential equations, *PARTIAL differential equations, *POROUS materials, *THERMAL efficiency, *MICROPOLAR elasticity, *NANOFLUIDS

Recursive algorithm for transition density approximation and simulation of diffusion processes.

Συγγραφείς: Ben‐Hariz, Samir¹ (AUTHOR) samir.ben_hariz@univ-lemans.fr, Esstafa, Youssef¹ (AUTHOR), Zaatra, Helmi² (AUTHOR)

Πηγή: Statistica Neerlandica. Nov2025, Vol. 79 Issue 4, p1-18. 18p.

Θεματικοί όροι: *DISTRIBUTION (Probability theory), *SIMULATION methods & models, STOCHASTIC differential equations, HERMITE polynomials, DIFFUSION kinetics, ITERATIVE methods (Mathematics), COMPUTER simulation

Ordinary differential equation models for a collection of discretized functions.

Συγγραφείς: Shao, Lingxuan¹ (AUTHOR), Yao, Fang² (AUTHOR)

Πηγή: Journal of the Royal Statistical Society: Series B (Statistical Methodology). Nov2025, Vol. 87 Issue 5, p1707-1724. 18p.

Θεματικοί όροι: *PARAMETER estimation, ORDINARY differential equations, DYNAMICAL systems, NUMERICAL analysis, DISCRETIZATION methods

A deep learning method for optimal investment under relative performance criteria among heterogeneous agents.

Συγγραφείς: Laurière, Mathieu¹ (AUTHOR) mathieu.lauriere@nyu.edu, Tangpi, Ludovic^1,2 (AUTHOR) ludovic.tangpi@princeton.edu, Zhou, Xuchen³ (AUTHOR) xuchen.zhou@princeton.edu

Πηγή: European Journal of Operational Research. Nov2025, Vol. 326 Issue 3, p615-629. 15p.

Θεματικοί όροι: *NASH equilibrium, MACHINE learning, STOCHASTIC differential equations, DEEP learning, WEIGHTED graphs

Strategic entering time of a commerce platform.

Συγγραφείς: Wang, Chia-Li¹ (AUTHOR) cwang@gms.ndhu.edu.tw, Kim, Bara² (AUTHOR) bara@korea.ac.kr, Kim, Jeongsim^1,3 (AUTHOR) jeongsimkim@chungbuk.ac.kr

Πηγή: European Journal of Operational Research. Oct2025, Vol. 326 Issue 1, p157-173. 17p.

Θεματικοί όροι: *NASH equilibrium, *SOCIAL services, *PRICES, INTEGRO-differential equations, ANARCHISM

Macroscopic Market Making Games.

Συγγραφείς: Guo, Ivan¹ (AUTHOR), Jin, Shijia² (AUTHOR) shijia.jin@monash.edu

Πηγή: Mathematical Finance. Oct2025, p1. 22p. 1 Illustration.

Θεματικοί όροι: *DIFFERENTIAL equations, *MARKET makers, *GAME theory, *ECONOMIC competition, EQUILIBRIUM, ROBUST control, NONSMOOTH optimization

Systemic Robustness: A Mean‐Field Particle System Approach.

Συγγραφείς: Bayraktar, Erhan¹ (AUTHOR), Guo, Gaoyue² (AUTHOR) gaoyue.guo@centralesupelec.fr, Tang, Wenpin³ (AUTHOR), Zhang, Yuming Paul⁴ (AUTHOR)

Πηγή: Mathematical Finance. Oct2025, Vol. 35 Issue 4, p727-744. 18p.

Θεματικοί όροι: *SYSTEMIC risk (Finance), STOCHASTIC differential equations, MEAN field models (Statistical physics), COUNTERPARTY risk, PARTICLE interactions

No global centres in a class of cubic systems.

Συγγραφείς: Appis, Raul Felipe¹ (AUTHOR) raul.appis@ufrn.br, Llibre, Jaume² (AUTHOR)

Πηγή: Dynamical Systems: An International Journal. Dec2025, Vol. 40 Issue 4, p712-720. 9p.

Θεματικοί όροι: *DIFFERENTIAL equations, DYNAMICAL systems, FIXED point theory, PFAFFIAN systems, CUBIC equations

Deep Quadratic Hedging.

Συγγραφείς: Gnoatto, Alessandro¹ (AUTHOR) alessandro.gnoatto@univr.it, Lavagnini, Silvia² (AUTHOR) silvia.lavagnini@bi.no, Picarelli, Athena¹ (AUTHOR) athena.picarelli@univr.it

Πηγή: Mathematics of Operations Research. Nov2025, Vol. 50 Issue 4, p2972-3009. 38p.

Θεματικοί όροι: *HEDGING (Finance), *RISK management in business, *FINANCIAL risk management, *FINANCIAL markets, STOCHASTIC differential equations, DEEP learning

An Stochastic Differential Equation Perspective on Stochastic Convex Optimization.

Συγγραφείς: Rodrigo, Maulén S.¹ (AUTHOR) rodrigo.maulen@ensicaen.fr, Fadili, Jalal¹ (AUTHOR) jalal.fadili@greyc.ensicaen.fr, Attouch, Hedy² (AUTHOR) hedy.attouch@umontpellier.fr

Πηγή: Mathematics of Operations Research. Nov2025, Vol. 50 Issue 4, p3190-3221. 32p.

Θεματικοί όροι: STOCHASTIC differential equations, NONSMOOTH optimization, LIPSCHITZ continuity, STOCHASTIC programming, MEASURE theory, ASYMPTOTIC analysis

Periodic mean-reverting stochastic differential equations and parameter estimations for seasonal data.

Συγγραφείς: Mostafa, Fahad¹ (AUTHOR) fahad.mostafa@ttu.edu, J. S. Allen, Linda¹ (AUTHOR)

Πηγή: Stochastic Models. 2025, Vol. 41 Issue 4, p413-444. 32p.

Θεματικοί όροι: *PARAMETER estimation, *MEAN reversion theory, STOCHASTIC differential equations, SEASONAL influenza, ORNSTEIN-Uhlenbeck process

On the minimum distance estimation of the density for a diffusion process.

Συγγραφείς: Bensaber, Fatna¹ (AUTHOR) bensaberfatna@yahoo.fr, Benyahia, Wahiba¹ (AUTHOR)

Πηγή: Communications in Statistics: Theory & Methods. 2025, Vol. 54 Issue 22, p7371-7382. 12p.

Θεματικοί όροι: *PARAMETER estimation, STOCHASTIC differential equations, HEAT equation, NONPARAMETRIC estimation, ASYMPTOTIC distribution, MINIMUM variance estimation, WHITE noise

Graphon mean-field backward stochastic differential equations with jumps and associated dynamic risk measures.

Συγγραφείς: Amini, Hamed¹ (AUTHOR) aminil@ufl.edu, Cao, Zhongyuan² (AUTHOR) zc3151@nyu.edu, Sulem, Agnès³ (AUTHOR) agnes.sulem@inria.fr

Πηγή: Finance & Stochastics. Oct2025, Vol. 29 Issue 4, p1139-1194. 56p.

Θεματικοί όροι: *RISK assessment, STOCHASTIC differential equations, MEAN field theory, UNIQUENESS (Mathematics), REPRESENTATIONS of graphs, STATISTICAL measurement, INTEGRALS