Results 71 to 80 of about 6,844 (227)
On Discontinuous Galerkin Methods for Singularly Perturbed and Incompressible Miscible Displacement Problems [PDF]
, 2012 This thesis is concerned with the numerical approximation of problems of fluid flow, in particular the stationary advection diffusion reaction equations and the time dependent, coupled equations of incompressible miscible displacement in a porous medium.
CHAPMAN, JOHN,ROBERT +1 more
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CNS Neuroscience &Therapeutics, Volume 32, Issue 1, January 2026.Our multiomics analysis across three PD cohorts revealed distinct fecal microbiome and plasma metabolome alterations in patients with motor complications (PD‐MC). We identified specific microbial and metabolic biomarkers and uncovered significant correlations between them, providing new insights into PD‐MC pathophysiology. ABSTRACT Background Parkinson'
Shuangjie Qian +11 more
wiley +1 more source
Axioms, 2019 We consider a singularly perturbed integral equation with weakly and rapidly varying kernels. The work is a continuation of the studies carried out previously, but these were focused solely on rapidly changing kernels.
Abduhafiz Bobodzhanov +2 more
doaj +1 more source
Roars, Rumbles, and Resonance: A Systematic Review and Meta‐Analysis of Crocodylian Acoustic Signals
Ecology and Evolution, Volume 16, Issue 1, January 2026.Crocodylians are highly vocal reptiles, possessing a complex acoustic signalling system including vocal and non‐vocal signals used for courtship, mating, mediating conflict, and providing maternal care. Despite this, research on crocodylian acoustic signalling remains infrequent, with methodologies and terminology varying widely across studies.
Sonnie A. Flores +3 more
wiley +1 more source
An Adiabatic Theorem for Singularly Perturbed Hamiltonians
, 1994 The adiabatic approximation in quantum mechanics is considered in the case where the self-adjoint hamiltonian $H_0(t)$, satisfying the usual spectral gap assumption in this context, is perturbed by a term of the form $εH_1(t)$. Here $ε\to 0$ is the adiabaticity parameter and $H_1(t)$ is a self-adjoint operator defined on a smaller domain than the ...
openaire +4 more sources
A Posteriori Error Analysis of hp-FEM for singularly perturbed problems [PDF]
, 2014 We consider the approximation of singularly perturbed linear second-order boundary value problems by hp-finite element methods. In particular, we include the case where the associated differential operator may not be coercive.
Melenk, Jens M., Wihler, Thomas
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A Midpoint Upwind Numerical Scheme for Singularly Perturbed Differential Difference Equations
Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.In this work, we consider a class of singularly perturbed differential‐difference equations with small shift parameters in the convection and reaction terms, which frequently arise in applied mathematics and engineering. The presence of a small diffusion parameter ε, (0 < ε ≪ 1) causes the solution of the considered problem to exhibit steep gradients ...
Amare Worku Demsie +3 more
wiley +1 more source
International Transactions on Electrical Energy Systems, Volume 2026, Issue 1, 2026.In the midst of rapid growth in the power sector, there is a pressing need to address increasing load demands and the introduction of additional electrical vehicle‐related loads. Renewable energy resources, particularly solar photovoltaics (PVs), emerge as crucial allies in meeting the rising electricity requirements. However, integrating solar PV into
Muthuveerappan S. +3 more
wiley +1 more source
A Combined Renormalization Group-Multiple Scale Method for Singularly Perturbed Problems
, 2010 This paper introduces a straightforward method to asymptotically solve a variety of initial and boundary value problems for singularly perturbed ordinary differential equations whose solution structure can be anticipated.
Kirkinis, E., O'Malley, R. E.
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Hybrid Fitted Numerical Scheme for Singularly Perturbed Spatiotemporal Delay Differential Equations
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.In this study, a hybrid scheme is presented to solve a singularly perturbed time‐delay differential equation with a delay and advance term in the spatial variable. The scheme combines the midpoint upwind scheme and the cubic spline difference scheme in the outer and inner layer regions, respectively, on a nonuniform mesh for the spatial discretization,
Mulunesh Amsalu Ayele +2 more
wiley +1 more source