Results 141 to 150 of about 72,220 (275)
Toward Dynamic Phase‐Field Fracture at Finite Strains
PAMM, Volume 26, Issue 1, March 2026.ABSTRACT We investigate the evolution of dynamic phase‐field fracture in the finite‐strain setting, extending our previous work in the small‐strain viscoelastodynamic regime. The elastodynamic equations are coupled with a dissipative damage evolution for the phase‐field variable z$z$.
Sven Tornquist +4 more
wiley +1 more source
On the Lipschitz Continuity of the Spherical Cap Discrepancy around Generic Point Sets [PDF]
Holger Heitsch, René Henrion
openalex +1 more source
A stochastic Gronwall inequality and applications to moments, strong completeness, strong local Lipschitz continuity, and perturbations [PDF]
, 2019 Anselm Hudde +2 more
openalex +1 more source
PAMM, Volume 26, Issue 1, March 2026.ABSTRACT Regularity properties of solutions for a class of quasi‐stationary models in one spatial dimension for stress‐modulated growth in the presence of a nutrient field are proven. At a given point in time the configuration of a body after pure growth is determined by means of a family of ordinary differential equations in every point in space ...
Julian Blawid, Georg Dolzmann
wiley +1 more source
On the Lipschitz Continuity of Set Aggregation Functions and Neural Networks for Sets [PDF]
Giannis Nikolentzos +1 more
openalex +1 more source
Exploring Imprecise Probabilities in Quantum Algorithms with Possibility Theory
PAMM, Volume 26, Issue 1, March 2026.ABSTRACT Quantum computing utilizes the underlying principles of quantum mechanics to perform computations with unmatched performance capabilities. Rather than using classical bits, it operates on qubits, which can exist in superposition and entangled states. This enables the solution of problems that are considered intractable for classical computers.
Jan Schneider +2 more
wiley +1 more source
A Generalization Error Bound of Physics‐Informed Neural Networks for Ecological Diffusion Models
Stat, Volume 15, Issue 1, March 2026.ABSTRACT Ecological diffusion equations (EDEs) are partial differential equations (PDEs) that model spatiotemporal dynamics, often applied to wildlife diseases. Derived from ecological mechanisms, EDEs are useful for forecasting, inference, and decision‐making, such as guiding surveillance strategies for wildlife diseases.
Juan Francisco Mandujano Reyes +4 more
wiley +1 more source
Expert Systems, Volume 43, Issue 3, March 2026.ABSTRACT Modelling the evolution of Alzheimer's disease (AD) requires a thorough spatiotemporal study of longitudinal neuroimaging data. We propose in this paper a novel deep learning framework that uses a parallel combination of Recurrent Neural Networks (RNNs) and Vision Transformers (ViT) to extract temporal disease dynamics and spatial structural ...
Sahbi Bahroun, Gwanggil Jeon
wiley +1 more source