#stability analysis
8 resultsThe unified theory of shifted convolution quadrature for fractional calculus
Yang Liu, Baoli Yin, Hong Li +1
The paper extends convolution quadrature theory by introducing a shift parameter, creating a unified framework for many numerical schemes that approximate the Riemann‑Liouville fra…
A mechanistic model of disjunctive metabolic symbioses in microbes
Matthias M. Fischer
The paper develops and analyzes a mechanistic mathematical model describing how microbes exchange nutrients in a chemostat, showing how biological traits and external metabolite le…
Image reconstruction in quantitative photoacoustic tomography with the simplified $P_2$ approximation
Christina Frederick, Kui Ren, Sarah Vallélian
The paper studies quantitative photoacoustic tomography using the simplified P₂ approximation for light propagation, presenting numerical experiments and theoretical stability resu…
Stability and instability in saddle point dynamics -- Part I
Thomas Holding, Ioannis Lestas
The paper analyzes the long‑term behavior of gradient and subgradient dynamics used to find saddle points of concave‑convex functions, providing explicit characterizations of their…
Can Local Stress Enhancement Induce Stability in Fracture Processes? Part I: Apparent Stability
Jonas T. Kjellstadli, Eivind Bering, Martin Hendrick +2
The paper investigates why the local load sharing fiber bundle model appears stable while the equal load sharing model does not, showing that this apparent stability arises from st…
Transitions from chimeras to coherence: An analytical approach by means of the coherent stability function
Sarbendu Rakshit, Zahra Faghani, Fatemeh Parastesh +4
The paper analytically derives conditions for the transition from chimera states to coherent (synchronized) states using a coherent stability function, and validates the prediction…
Semi-implicit second order schemes for numerical solution of level set advection equation on Cartesian grids
Peter FrolkoviÄ, Karol Mikula
The paper introduces a class of semi‑implicit numerical schemes for solving the level set advection equation on Cartesian grids, providing second‑order accuracy in space and time g…
Geomechanical Risk Analysis for the Historical Salt Cavern Saurau in Wieliczka Mine
Witold Pytel, Jozef Parchanowicz, Piotr Mertuszka
The paper uses three‑dimensional finite element simulations to model two historic rooms in the Saurau salt cavern of the Wieliczka mine, evaluating elastic‑viscous rock mass stabil…