Results 121 to 130 of about 88,173 (262)

Optimization of Pulsed Saturation Transfer MR Fingerprinting (ST MRF) Acquisition Using the Cramér–Rao Bound and Sequential Quadratic Programming

open access: yesMagnetic Resonance in Medicine, Volume 95, Issue 3, Page 1778-1790, March 2026.
ABSTRACT Purpose To develop a method for optimizing pulsed saturation transfer MR fingerprinting (ST MRF) acquisition. Methods The Cramér–Rao bound (CRB) for variance assessment was employed on Bloch–McConnell‐based simulated signals, followed by a numerical sequential quadratic programming optimization and basin‐hopping avoidance of local minima ...
Nikita Vladimirov   +2 more
wiley   +1 more source

Stability of stochastic functional differential equations and the W-transform

open access: yesElectronic Journal of Differential Equations, 2004
The paper contains a systematic presentation of how the so-called ``W-transform'' can be used to study stability of stochastic functional differential equations.
Ramazan Kadiev, Arcady Ponosov
doaj  

Toward Dynamic Phase‐Field Fracture at Finite Strains

open access: yesPAMM, 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

Three‐Dimensional Simulation of Crack Initiation in ice Shelves at Pinning Points

open access: yesPAMM, Volume 26, Issue 1, March 2026.
ABSTRACT Ice shelves are large ice masses floating on the ocean that are still connected to the inland ice of a glacier. Due to high elevations in the bathymetry, the ice shelf can be partially grounded. These areas are called ice rises that act as pinning points.
Rabea Sondershaus   +2 more
wiley   +1 more source

Trigonometric derived rate of convergence of various smooth singular integral operators

open access: yesModern Mathematical Methods
In this article, we continue the study of approximation of various smooth singular integral operators. This time the foundation of our research is a trigonometric Taylor’s formula.
George Anastassiou
doaj  

Numerical and Analytical Study of Elastic Parameters in Linearized Micropolar Elasticity

open access: yesPAMM, Volume 26, Issue 1, March 2026.
ABSTRACT The effect of elastic parameters in the linearized theory of micropolar elasticity on observable deformation is analyzed analytically and numerically. Specifically, a shear deformation boundary value problem is studied to explore the physical implications of a micropolar formulation. Our new analytical solution for the two‐dimensional shearing
Lucca Schek, Wolfgang H. Müller
wiley   +1 more source

Variational Modeling of Porosity Waves

open access: yesPAMM, Volume 26, Issue 1, March 2026.
ABSTRACT Mathematical models for finite‐strain poroelasticity in an Eulerian formulation are studied by constructing their energy‐variational structure, which gives rise to a class of saddle‐point problems. This problem is discretized using an incremental time‐stepping scheme and a mixed finite element approach, resulting in a monolithic, structure ...
Andrea Zafferi, Dirk Peschka
wiley   +1 more source

The Microlayer Framework: Extension to Aggregates With Non‐Uniform Shapes

open access: yesPAMM, Volume 26, Issue 1, March 2026.
ABSTRACT The microlayer framework is a novel, powerful method for the numerical simulation of heterogeneous materials, such as aggregate‐matrix composites across different scales. While the framework has previously only been applied to geometrically isotropic aggregates, its mathematical formulation also enables the development of material models for ...
Marcel May   +3 more
wiley   +1 more source

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