Results 71 to 80 of about 4,284 (195)
An Eulerian formulation for the computational modeling of phase‐contrast MRI
Magnetic Resonance in Medicine, Volume 93, Issue 2, Page 828-841, February 2025.Abstract Purpose Computational simulation of phase‐contrast MRI (PC‐MRI) is an attractive way to physically interpret properties and errors in MRI‐reconstructed flow velocity fields. Recent studies have developed PC‐MRI simulators that solve the Bloch equation, with the magnetization transport being modeled using a Lagrangian approach.
Tomohiro Otani +4 more
wiley +1 more source
On the oscillation of the solutions to linear difference equations with variable delay
Electronic Journal of Differential Equations, 2008 A new criterion for the oscillation of the solutions to linear difference equations with variable delay is established. This criterion is based on a new fundamental lemma, which provides a useful inequality for the nonoscillatory solutions of the ...
Christos G. Philos +2 more
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Renormalization study of two-dimensional convergent solutions of the porous medium equation
, 1999 In the focusing problem we study a solution of the porous medium equation $u_t=\Delta (u^m)$ whose initial distribution is positive in the exterior of a closed non-circular two dimensional region, and zero inside.
Angenent +14 more
core +4 more sources
IET Smart Grid, Volume 8, Issue 1, January/December 2025.A generalised power synchronisation loop (GPSL) is proposed to enable the adjustment of the inertia, the damping and stiffness characteristics of the GFM converter simultaneously. The flexibility and stability of GPSL in a single GFM converter system and multiple GFM converter system is analysed.
Yifeng Li +3 more
wiley +1 more source
NONOSCILLATORY SOLUTIONS OF DELAY DIFFERENCE EQUATIONS WITH OSCILLATING COEFFICIENTS
Demonstratio Mathematica, 2003 Using the analogy with differential equations with deviated argument the authors study non-oscillatory solutions of the scalar equation \[ \Delta y_k = P^o_ky_k + \sum_1^nP^i_ky_{k-K^i_k} \] with bounded coefficients satisfying an oscillation condition.
Bolat, Yaşar, Akin, Ömer
openaire +2 more sources
International Journal of Aerospace Engineering, Volume 2025, Issue 1, 2025.Background: Electromagnetic flow control is crucial in hypersonic gas dynamics, with key aspects of boundary layer electromagnetic flow control reviewed, focusing on numerical methods, simulations, and experimental research. Numerical Methods: Challenges such as numerical stiffness and instability arise from the coupling of electromagnetic fields with ...
Yang Du, Jun Liu, Hao Chen
wiley +1 more source
Advances in Difference Equations, 2019 In this paper, we establish the existence of nonoscillatory solutions to the neutral dynamic equation [x(t)−∫abp(t,η)x(g(t,η))Δη]Δ+∫cdω(t,ν)x(h(t,ν))Δν=0 $$\biggl[x(t)- \int_{a}^{b}p(t,\eta)x\bigl(g(t,\eta)\bigr)\Delta \eta \biggr]^{\Delta }+ \int_{c}^{d}
Zhanhe Chen +3 more
doaj +1 more source
Uniformly high-order accurate non-oscillatory schemes, 1 [PDF]
The construction and the analysis of nonoscillatory shock capturing methods for the approximation of hyperbolic conservation laws was begun. These schemes share many desirable properties with total variation diminishing schemes (TVD), but TVD schemes ...
Harten, A., Osher, S.
core +1 more source
Analytic Study of the Existence of Solutions to the Second‐Order Delay Differential Equations
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.This paper addresses the existence of bounded solutions for second‐order nonlinear delay differential equations. It presents new sufficient conditions to demonstrate that the solutions are bounded by decreasing functions. Additionally, an example is provided to validate the applicability of these conditions.
Mohammed Jasim Fadhil +2 more
wiley +1 more source
Solvability of a Higher-Order Nonlinear Neutral Delay Difference Equation
Advances in Difference Equations, 2010 The existence of bounded nonoscillatory solutions of a higher-order nonlinear neutral delay difference equation , , where , , , and are integers, and are real sequences, , and is a mapping, is studied. Some sufficient conditions for the existence of
Liu Min, Guo Zhenyu
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