Category: Applied mathematics
Accelerated methods improve nonlinear fractional diffusion solving
What the study found The study proposes an efficient and accurate framework for nonlinear space-time fractional diffusion equations. The authors report that the resulting spectral deferred correction method keeps arbitrary order accuracy and excellent stability. Why the authors say this matters The authors state that the method is efficient and accurate, and they present a…
VaR-constrained S-shaped utility problem has a critical wealth threshold
What the study found The study finds a critical wealth level that determines whether the constrained optimization problem is feasible. Above that level, the problem admits a unique optimal solution and Lagrange multiplier; below it, the problem is infeasible. Why the authors say this matters The authors suggest this matters because it clarifies when an…
Bluem Constant defines a baseline for minority-driven sensitivity
What the study found The study introduces the Bluem Constant (B₀) as a baseline parameter for modeling minority-driven system sensitivity. It is described as a synthetic, non-empirical parameter for representing structurally persistent norm-deviating segments in a population. Why the authors say this matters The authors say B₀ helps fill a gap because findings about minority…
Douglas–Rachford methods are studied on Hadamard manifolds
What the study found The study proposes inertial and non-inertial Douglas–Rachford algorithms for minimizing the sum of two geodesically convex functions on Hadamard manifolds, which are complete, nonpositively curved spaces. The authors also introduce parallel Douglas–Rachford type algorithms for problems with multiple summands and apply them to generalized Heron problems. Why the authors say this…
Internal exact controllability established for a stochastic hyperbolic equation
What the study found The study establishes internal exact controllability for a refined stochastic hyperbolic equation. It reports that the waiting time required for this internal controllability matches the waiting time for the deterministic counterpart. Why the authors say this matters The authors say this matters because, unlike existing results on boundary exact controllability, which…
Detailed deduction of the Tennessee-Eastman benchmark model
Detailed mathematical reconstruction of the Tennessee-Eastman benchmark process model with previously unavailable parameters and explicit documentation of assumptions.
Global stability analysis identifies thresholds for rumor extinction
Mathematical analysis of rumor propagation using compartmental models with reproduction numbers and control strategies for misinformation mitigation through fact-checking and contact reduction.
