Soliton solutions with bifurcation, sensitivity, chaotic and stability analysis of the (2+1)-dimensional Zoomeron equation using generalized Riccati equation mapping method. [PDF]
Sci RepZainab A +5 more
europepmc +1 more source
Communications on Pure and Applied Mathematics, Volume 79, Issue 1, Page 3-88, January 2026.Abstract We address the problem of regularity of solutions ui(t,x1,…,xN)$u^i(t, x^1, \ldots, x^N)$ to a family of semilinear parabolic systems of N$N$ equations, which describe closed‐loop equilibria of some N$N$‐player differential games with Lagrangian having quadratic behaviour in the velocity variable, running costs fi(x)$f^i(x)$ and final costs gi(
Marco Cirant, Davide Francesco Redaelli
wiley +1 more source
Parameter identification for PDEs using sparse interior data and a recurrent neural network. [PDF]
Sci RepLong J, Khaliq A, Furati KM.
europepmc +1 more source
Randomly sparsified Richardson iteration: A dimension‐independent sparse linear solver
Communications on Pure and Applied Mathematics, Volume 79, Issue 1, Page 89-122, January 2026.Abstract Recently, a class of algorithms combining classical fixed‐point iterations with repeated random sparsification of approximate solution vectors has been successfully applied to eigenproblems with matrices as large as 10108×10108$10^{108} \times 10^{108}$. So far, a complete mathematical explanation for this success has proven elusive.
Jonathan Weare, Robert J. Webber
wiley +1 more source
A novel method for approximate solution of two point non local fractional order coupled boundary value problems. [PDF]
PLoS OneTadoummant L +4 more
europepmc +1 more source
Application of MLEM‐TV Algorithm in Diffuse Correlation Tomography Blood Flow Imaging
International Journal of Imaging Systems and Technology, Volume 36, Issue 1, January 2026.ABSTRACT Diffuse correlation tomography (DCT) reconstructs the motion velocity of scatterers (blood flow index, BFI) within biological tissues by using information from the escaped photons. Given the randomness of a single scatterer motion and the determinism of particle swarm, the motion of scatterers was analyzed for the first time using a ...
Zicheng Li +3 more
wiley +1 more source
A unified framework for deriving and visualizing soliton solutions in the paraxial nonlinear Schrödinger equation. [PDF]
Sci RepKhabyah AA +4 more
europepmc +1 more source
Mathematical analysis of a PDE model describing chemotactic E. coli colonies
, 2020 Rafał Celiński +4 more
openalex +1 more source
Dynamic boundary conditions with noise for an energy balance model coupled to geophysical flows
Mathematische Nachrichten, Volume 299, Issue 1, Page 60-84, January 2026.Abstract This paper investigates a Sellers‐type energy balance model coupled to the primitive equations by a dynamic boundary condition with and without noise on the boundary. It is shown that this system is globally strongly well‐posed both in the deterministic setting for arbitrary large data in W2(1−1/p),p$W^{2(1-\nicefrac {1}{p}),p}$ for p∈[2,∞)$p \
Gianmarco Del Sarto +2 more
wiley +1 more source