Results 71 to 80 of about 2,308,426 (220)

Stability Issues for Selected Stochastic Evolutionary Problems: A Review

Axioms, 2018
We review some recent contributions of the authors regarding the numerical approximation of stochastic problems, mostly based on stochastic differential equations modeling random damped oscillators and stochastic Volterra integral equations.
Angelamaria Cardone, Dajana Conte, Raffaele D’Ambrosio, Beatrice Paternoster   +3 more
doaj   +1 more source

Deep Material Networks Versus Reduced Order Models: A Comparative Study for Multiscale Component Simulations

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Deep material networks (DMNs) and reduced order models (ROMs) represent two distinct paradigms for scale bridging in multiscale simulations. ROMs are data‐driven approaches that construct surrogate models for the governing partial differential equations of the microscale cell problem.
Pavan Bhat Keelanje Srinivas, Maxime Krier, Fabian Welschinger, Matthias Kabel, Matti Schneider   +4 more
wiley   +1 more source

New Explicit Bounds on Gamidov Type Integral Inequalities for Functions in Two Variables and Their Applications

Abstract and Applied Analysis, 2014
Some linear and nonlinear Gamidov type integral inequalities in two variables are established, which can give the explicit bounds on the solutions to a class of Volterra-Fredholm integral equations.
Kelong Cheng, Chunxiang Guo
doaj   +1 more source

Nucleus Accumbens and Ventral Tegmental Area Functional Connectivity as a Marker of Reward Sensitivity in Infancy

Developmental Science, Volume 29, Issue 6, November 2026.
ABSTRACT Early functional connectivity within the brain's reward circuitry may provide insight into the developmental origins of individual differences in pleasure and motivation. This study examined resting‐state functional connectivity between two key reward‐related regions, the nucleus accumbens (NAc) and ventral tegmental area (VTA), in 94 one ...
Megan M. Hare, Yanbin Niu, Charles H. Zeanah, Kathryn L. Humphreys   +3 more
wiley   +1 more source

Volterra integral and functional equations

, 1990
This book looks at the theories of Volterra integral and functional ...
Staffans, O, Gripenberg, G, Londen, S O, S. O. Londen, G. Gripenberg, O. Staffans   +5 more
core   +1 more source

UniNS: A Neuro‐Symbolic Framework for Structure‐Regularized Causal Modeling of Catalytic Nanorobot Swarms in Confined Tumor Microenvironments

Applied Research, Volume 5, Issue 5, October 2026.
UniNS is a hybrid neuro‐symbolic framework that simulates nanoscale swarms in tumor microenvironments by coupling mesoscopic hydrodynamics with structure‐regularized causal discovery. It reduces biochemical prediction errors by 27.3% and dynamically prevents spurious correlations, offering a scalable, thermodynamically consistent testbed for precision ...
Xinyuan Chen, Nurdatillah Hasim, Norliana Muslim, Mohd Nizam Husen   +3 more
wiley   +1 more source

Advances in causal discovery methods for ecological time series

Biological Reviews, Volume 101, Issue 5, Page 2313-2336, October 2026.
ABSTRACT Recent advances in data collection technologies (e.g. automated sensor networks, satellite remote sensing, and high‐throughput sequencing) have greatly expanded the availability of ecological time series, enabling new opportunities for causal analyses in dynamic ecosystems.
Kenta Suzuki, Masato Yamamichi, Yutaka Osada, Masayuki Ushio, Kohei Nakajima, Hiroshi Masuya, Shohei Shimizu   +6 more
wiley   +1 more source

Volterra integral and differential equations /

, 2005
Most mathematicians, engineers, and many other scientists are well-acquainted with theory and application of ordinary differential equations. This book seeks to present Volterra integral and functional differential equations in that same framwork ...
Burton, T. A.(Theodore Allen),
core  

АППРОКСИМАЦИОННОЕ РЕШЕНИЕ ИНТЕГРАЛЬНЫХ УРАВНЕНИЙ ФРЕДГОЛЬМА И ВОЛЬТЕРРА ВТОРОГО РОДА МЕТОДОМ S-ПРЕОБРАЗОВАНИЙ [PDF]

, 2010
Аппроксимационно-операционный подход применен к решению интегральных уравнений Фредгольма и Вольтерра второго рода. Показано, что аппроксимация ядер интегральных уравнений как сигналов, зависящих от двух аргументов, обобщенными полиномами на основе ...
Симак, Лилия Алексеевна, Васильев, Всеволод Викторович, Васильев, Алексей Всеволодович   +2 more
core   +1 more source

Approximate Solution of Intuitionistic Fuzzy Volterra Integral Equation of Separable-Type Kernel Using Elzaki Adomian Decomposition Method

International Journal of Mathematics and Mathematical Sciences
An intuitionistic fuzzy number, which incorporates both membership and nonmembership functions at a same time, allows for a more accurate representation of uncertainty.
Zain Khan, Saleem Abdullah, Samuel Okyere   +2 more
doaj   +1 more source