An Unconditionally Stable Method for the Euler Equations [PDF]
. We discuss how to combine a front tracking method with dimensional splitting to solve systems of conservation laws numerically in two space dimensions. In addition we present an adaptive grid refinement strategy.
Knut-Andreas Lie +3 more
core
SPG4 and Dementia: Expanding the Clinical Spectrum
ABSTRACT Objective Hereditary spastic paraplegia (HSP) is a group of disorders characterized by progressive spasticity and lower limb weakness, with mutations in SPG4/SPAST being the most common cause. Detailed studies and clinical and molecular comparisons across different populations are missing.
Emanuele Panza +19 more
wiley +1 more source
An Explicit Time-Domain Finite-Element Method That Is Unconditionally Stable [PDF]
The root cause of the instability is quantitatively identified for the explicit time-domain finite-element method that employs a time step beyond that allowed by the stability criterion.
Jiao, Dan, He, Qing, Gan, Houle
core +1 more source
ABSTRACT Objective Stereoelectroencephalography‐guided radiofrequency thermocoagulation (SEEG‐RFTC) has emerged as a safe and effective minimally invasive treatment for children with drug‐resistant focal epilepsy. Although evidence from real‐world studies remains limited, numerous pediatric cases have demonstrated promising outcomes. This retrospective
Weitao Chen +7 more
wiley +1 more source
Weak solvability of the unconditionally stable difference scheme for the coupled sine-Gordon system
In this paper, we study the existence and uniqueness of weak solution for the system of finite difference schemes for coupled sine-Gordon equations. A novel first order of accuracy unconditionally stable difference scheme is considered.
Ozgur Yildirim, Meltem Uzun
doaj +1 more source
An Efficient Unconditionally Stable Method for Dirichlet Partitions in Arbitrary Domains
A Dirichlet $k$-partition of a domain is a collection of $k$ pairwise disjoint open subsets such that the sum of their first Laplace--Dirichlet eigenvalues is minimal. In this paper, we propose a new relaxation of the problem by introducing auxiliary indicator functions of domains and develop a simple and efficient diffusion generated method to compute
openaire +2 more sources
A Second Order in Time, Decoupled, Unconditionally Stable Numerical Scheme for the Cahn-Hilliard-Darcy System [PDF]
We propose a novel second order in time, fully decoupled and unconditionally stable numerical scheme for solving the Cahn-Hilliard-Darcy system which models two-phase flow in porous medium or in a Hele-Shaw cell.
Daozhi Han +3 more
core +1 more source
Predictive Ability of Plasma p‐tau217 for β‐Amyloid Status: A Prospective Multicenter Study
ABSTRACT Objective Plasma tau phosphorylated at threonine 217 (p‐tau217) measured with fully automated platforms has shown high accuracy for Alzheimer's disease (AD) diagnosis, but real‐world multicenter data remain limited. We aimed to validate the diagnostic performance of p‐tau217 for identifying AD pathology in a real‐world multicenter cohort ...
Miquel Massons +33 more
wiley +1 more source
An efficient numerical approach to solve the space fractional FitzHugh–Nagumo model
In this work, we study the numerical approximation for the space fractional FitzHugh–Nagumo model. The numerical scheme is based on the Crank–Nicolson (C–N) method in time and Legendre-spectral method in space.
Jun Zhang +3 more
doaj +1 more source
Unconditionally stable element-by-element algorithms for dynamic problems
A collection of results is presented regarding the consistency, stability and accuracy of operator split methods and product formula algorithms for general nonlinear equations of evolution. These results are then applied to the structural dynamics problem. The basic idea is to exploit an element-by-element additive decomposition of a particular form of
Ortiz, Miguel +2 more
openaire +3 more sources

