Results 61 to 70 of about 2,297,756 (205)
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 +4 more
wiley +1 more source
International Journal of Analysis and Applications, 2019 In this paper, we introduce the notion of Menger probabilistic partial metric space and prove some fixed point theorems in the framework of such spaces. Some examples and an application to Volterra type integral equation are given to support the obtained
Amir Ghanenia +3 more
doaj +2 more sources
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 +3 more
wiley +1 more source
Solving one pseudo-Volterra integral equation
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 In this paper, we study the solvability of a second - kind pseudo-Volterra integral equation. By replacing the right - hand side and the unknown function, the integral equation is reduced to an integral equation, the kernel of which is not «compressible»
M.T. Kosmakova +4 more
doaj +1 more source
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 +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 +6 more
wiley +1 more source
On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces
Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 15358-15384, 15 September 2026.ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley +1 more source
Convergence of a collocation scheme for a retarded potential integral equation [PDF]
, 2003 Time domain boundary integral formulations of transient scattering problems involve retarded potential integral equations (RPIEs). Solving such equations numerically is both complicated and computationally intensive, and numerical methods often prove to ...
Duncan, D.B.
core +3 more sources
A study on the convergence and error bound of solutions to 2D mixed Volterra–Fredholm integral and integro-differential equations via high-order collocation method [PDF]
Iranian Journal of Numerical Analysis and OptimizationThe integral equation is transformed into systems of algebraic equations using standard collocation points, and then the algebraic equations are solved using matrix inversion.
A.A. Shalangwa, M.R. Odekunle, S.O. Adee
doaj +1 more source
On multidimensional integral equations of Volterra type [PDF]
Pacific Journal of Mathematics, 1972 http://deepblue.lib.umich.edu/bitstream/2027.42/7837/5/bad2439.0001.001.pdf ; http://deepblue.lib.umich.edu/bitstream/2027.42/7837/4/bad2439.0001.001 ...
openaire +3 more sources