Results 81 to 90 of about 8,923 (240)
On discretely entropy conservative and entropy stable discontinuous Galerkin methods
, 2018 High order methods based on diagonal-norm summation by parts operators can be shown to satisfy a discrete conservation or dissipation of entropy for nonlinear systems of hyperbolic PDEs.
Chan, Jesse
core +1 more source
Quadrature formulas from rational approximations
It is shown that quadrature formulas in many different applications can be derived from rational approximation of the Cauchy transform of a weight function. Since rational approximation is now a routine technology, this provides an easy new method to derive all kinds of quadrature formulas as well as fundamental insight into the mathematics of ...
Horning, Andrew, Trefethen, Lloyd N.
openaire +2 more sources
Movement Disorders, EarlyView.ABSTRACT Background Dopa‐responsive dystonia is caused by pathogenic variants in the GCH1 gene. Although its clinical features and reduced penetrance are known, in vivo metabolic and structural alterations in symptomatic (sMC) and asymptomatic mutation carriers (aMC) remain poorly understood.
Jannik Prasuhn +12 more
wiley +1 more source
Spectral Numerical Exterior Calculus Methods for Differential Equations on Radial Manifolds
, 2017 We develop exterior calculus approaches for partial differential equations on radial manifolds. We introduce numerical methods that approximate with spectral accuracy the exterior derivative $\mathbf{d}$, Hodge star $\star$, and their compositions.
Atzberger, Paul J., Gross, Ben J.
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Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
wiley +1 more source
Double Asymmetric Spin Echo EPI (dASE‐EPI) Enables fMRI of the Entire Rat Brain at 9.4 T
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose Development and evaluation of a double asymmetric spin echo planar imaging (dASE‐EPI) sequence to balance sensitivity to blood oxygenation level‐dependent (BOLD) contrast with mitigation of susceptibility‐induced intravoxel spin dephasing in ultra high‐field rodent brain imaging.
Kyle A. Johnson +2 more
wiley +1 more source
Two-mode entanglement in two-component Bose-Einstein condensates
, 2004 We study the generation of two-mode entanglement in a two-component Bose-Einstein condensate trapped in a double-well potential. By applying the Holstein-Primakoff transformation, we show that the problem is exactly solvable as long as the number of ...
J. J. Sakurai +4 more
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Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose To evaluate Frequency Alternation at Low duty cycle for Single Offset (FALSO) as a novel Magnetization Transfer (MT) preparation scheme to increase speed and/or spatial resolution of inhomogeneous MT (ihMT) MRI by reducing the number of volumes required.
Gopal Varma +5 more
wiley +1 more source
, 2016 In this paper, we introduce a novel pseudospectral method for the numerical solution of optimal control problems governed by a parabolic distributed parameter system.
Elgindy, Kareem T.
core
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose Ultrashort echo time (UTE) techniques are essential for the magnetic resonance imaging of short‐T2 signals. Current UTE techniques are time‐consuming and often require the acquisition of an inflexible volume. In this work, we implement new UTE sequences—differential single‐block presaturated UTE (δSB‐UTE) and differential multi‐block ...
Jason A. Reich +5 more
wiley +1 more source