10 citations · 25 across the 10 of their papers we have counts for
10 papers
World Reasoning Arena
PAN Team, Qiyue Gao, Kun Zhou +15
World models (WMs) are intended to serve as internal simulators of the real world that enable agents to understand, anticipate, and act upon complex environments. Existing WM bench…
Exact Screening-Ranged Expansions for Many-Body Electrostatics
Sergii V. Siryk, Walter Rocchia
We present an exact many-body framework for electrostatic interactions among arbitrarily charged spheres in an electrolyte, modeled by the linearized Poisson--Boltzmann equatio…
Many interacting particles in solution. III. Spectral analysis of the associated Neumann--Poincaré-type operators
Sergii V. Siryk, Walter Rocchia
The interaction of particles in an electrolytic medium can be calculated by solving the Poisson equation inside the solutes and the linearized Poisson--Boltzmann equation in the so…
Many interacting particles in solution. II. Screening-ranged expansion of electrostatic forces
Sergii V. Siryk, Walter Rocchia
We present a fully analytical integration of the Maxwell stress tensor and derive exact relations for interparticle forces in systems of multiple dielectric spheres immersed in a p…
Many interacting particles in solution. I. Screening-ranged expansions of electrostatic potential and energy
Sergii V. Siryk, Walter Rocchia
We present an analytical many-body formalism for systems of spherical particles carrying arbitrary free charge distributions and interacting in a polarizable electrolyte solution,…
Regularized Reconstruction of Scalar Parameters in Subdiffusion with Memory via a Nonlocal Observation
Andrii Hulianytskyi, Sergei Pereverzyev, Sergii Siryk +1
In the paper, we propose an analytical and numerical approach to identify scalar parameters (coefficients, orders of fractional derivatives) in the multi-term fractional differenti…
NextGenPB: an analytically-enabled super resolution and local (de)refinement Poisson-Boltzmann Equation solver
Vincenzo Di Florio, Patrizio Ansalone, Sergii V. Siryk +3
The Poisson-Boltzmann equation (PBE) is a relevant partial differential equation commonly used in biophysical applications to estimate the electrostatic energy of biomolecular syst…
Initial-boundary value problems to semilinear multi-term fractional differential equations
Sergii Siryk, Nataliya Vasylyeva
For , we analyze the semilinear integro-differential equation on the one-dimensional domain in the unknown \[ \mathbf{D}_{t}^ν(\varrho_{0}u)…
Multi-term fractional linear equations modeling oxygen subdiffusion through capillaries
Vittorino Pata, Sergii Siryk, Nataliya Vasylyeva
For , we analyze a linear integro-differential equation on the space-time cylinder in the unknown $$\mathbf{D}_{t}^{ν_1}(\varrho_{1}u)-\m…
A note on the application of the Guermond-Pasquetti mass lumping correction technique for convection-diffusion problems
Sergii Siryk
We provide a careful Fourier analysis of the Guermond-Pasquetti mass lumping correction technique [Guermond J.-L., Pasquetti R. A correction technique for the dispersive effects of…