Results 41 to 50 of about 436 (179)
Mathematical Methods in the Applied Sciences, Volume 48, Issue 13, Page 12807-12812, September 2025.ABSTRACT In this paper, new representations of the Green's function for an acoustic d$$ d $$‐dimensional half‐space problem with impedance boundary conditions are presented. The main features of the new representation are in addition to additive terms that appear also in the case of Dirichlet or Neumann boundary conditions, the remaining part of the ...
C. Lin, J. M. Melenk, S. Sauter
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A Review of Green's Function Methods for Tracer Timescales and Pathways in Ocean Models
Journal of Advances in Modeling Earth Systems, Volume 17, Issue 7, July 2025.Abstract Understanding advective‐diffusive dispersal of trace substances in environmental fluids like the global ocean is a ubiquitous challenge in geophysics. Since the turn of the millennium, substantial progress has been made in the theory, implementation in models, and application of such tracers in oceanography.
Thomas W. N. Haine +3 more
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Existence of nonoscillatory solutions to nonlinear higher-order neutral dynamic equations
Advances in Difference Equations, 2020 We investigate the existence of different types of nonoscillatory solutions to a class of higher-order nonlinear neutral dynamic equations on a time scale. Two examples are provided to show the significance of the conclusions.
Yang-Cong Qiu +3 more
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New Oscillation Criteria for H‐Difference Equation With Oscillatory Periodic Coefficients
Mathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 8696-8701, 30 May 2025.ABSTRACT In this manuscript, new oscillation criteria are given for solutions of h‐order delay difference equation in the equation (1.1). There, four cases of p$$ p $$ are considered: for α∈ℕ$$ \alpha \in \mathbb{N} $$, as oscillatory periodic sequences with periods 2α,(2α+1)$$ 2\alpha, \left(2\alpha +1\right) $$ and (α+1)$$ \left(\alpha +1\right ...
Yasar Bolat, Reyhan Gokteke
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Nonoscillatory solutions for the one-dimensional p-Laplacian
Journal of Computational and Applied Mathematics, 1998 The author studies the existence of nonoscillatory solutions of the equation \[ \Delta \Phi(\Delta x_{k-1})+f(k,x_k)=0,\quad k=1,2,\cdots \] where \(\Phi:R\rightarrow R\) is defined by \(\Phi(s)=|s|^{p-1}s\) (\(p>1\) fixed), \(f:N\times R\rightarrow R^+\) and \(\{x_k\}_1^\infty\) is a nonnegative sequence with infinitely many positive terms.
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Recessive solutions for nonoscillatory discrete symplectic systems
Linear Algebra and its Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Peter Šepitka, Roman Šimon Hilscher
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Application of De La Vallée Poussin Type Inequalities to Half‐Linear Euler Type Equations
Mathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 9332-9339, 30 May 2025.ABSTRACT The paper is devoted to the application of de la Vallée Poussin type inequalities to half‐linear differential Euler type equations. Four studied equations seen as perturbations of the nonoscillatory Euler equation with the oscillation constant are considered, and a new theorem for the cases where the perturbation is in both terms is presented.
Zuzana Pátíková
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AMR‐Wind: A Performance‐Portable, High‐Fidelity Flow Solver for Wind Farm Simulations
Wind Energy, Volume 28, Issue 5, May 2025.ABSTRACT We present AMR‐Wind, a verified and validated high‐fidelity computational‐fluid‐dynamics code for wind farm flows. AMR‐Wind is a block‐structured, adaptive‐mesh, incompressible‐flow solver that enables predictive simulations of the atmospheric boundary layer and wind plants.
Michael B. Kuhn +16 more
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Wind Energy, Volume 28, Issue 5, May 2025.ABSTRACT A thorough understanding of turbine wakes is essential for various aspects of wind energy, including turbine siting, load evaluation, and wind farm control. However, high‐fidelity time‐domain computational fluid dynamics (CFD) simulations that consider all possible turbulent inflow wind conditions are computationally expensive and impractical ...
Wenhao Xu, Gaohua Li, Feng Guo, Zhen Gao
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Numerical modelling investigation of finite‐amplitude subaqueous dune saturation
Earth Surface Processes and Landforms, Volume 50, Issue 4, Page 1-19, 30 March 2025.Our work demonstrates how finite amplitude dunes in limited depth flows reach a saturation state, preventing their growth. Saturation occurs when the intensity of the turbulent mixing reaches critical thresholds, enhanced by the confinement, reducing inertia and stirring large quantities of suspended sediment downstream of dune crests.
Arnaud Doré, Giovanni Coco
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