Cycling chaos: its creation, persistence and loss of stability in a model of nonlinear magnetoconvection [PDF]
, 1998 We examine a model system where attractors may consist of a heteroclinic cycle between chaotic sets; this ‘cycling chaos’ manifests itself as trajectories that spend increasingly long periods lingering near chaotic invariant sets interspersed with short ...
A.M. Rucklidge +23 more
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A Variational Stereo Method for the Three-Dimensional Reconstruction of Ocean Waves [PDF]
, 2011 We develop a novel remote sensing technique for the observation of waves on the ocean surface. Our method infers the 3-D waveform and radiance of oceanic sea states via a variational stereo imagery formulation.
Benetazzo, Alvise +3 more
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A High-Order Kernel Method for Diffusion and Reaction-Diffusion Equations on Surfaces [PDF]
, 2012 In this paper we present a high-order kernel method for numerically solving diffusion and reaction-diffusion partial differential equations (PDEs) on smooth, closed surfaces embedded in $\mathbb{R}^d$. For two-dimensional surfaces embedded in $\mathbb{R}^
Fuselier, Edward J., Wright, Grady B.
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Modified scattering for the cubic Schr{\"o}dinger equation on product spaces: the nonresonant case [PDF]
, 2015 We consider the cubic nonlinear Schr{\"o}dinger equation on the spatial domain $\mathbb{R}\times \mathbb{T}^d$, and we perturb it with a convolution potential.
Grébert, Benoît +2 more
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Semi-Lagrangian discontinuous Galerkin schemes for some first and second-order partial differential equations [PDF]
, 2015 Explicit, unconditionally stable, high-order schemes for the approximation of some first- andsecond-order linear, time-dependent partial differential equations (PDEs) are proposed.The schemes are based on a weak formulation of a semi-Lagrangian scheme ...
Bokanowski, Olivier +1 more
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Quadratic BSDEs with Singular Generators and Unbounded Terminal Conditions: Theory and Applications
MathematicsWe investigate a class of quadratic backward stochastic differential equations (BSDEs) with generators that are singular in y. First, we establish the existence of solutions and a comparison theorem, thereby extending the existing results in the ...
Wenbo Wang, Guangyan Jia
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Efficient Gluing of Numerical Continuation and a Multiple Solution Method for Elliptic PDEs
, 2014 Numerical continuation calculations for ordinary differential equations (ODEs) are, by now, an established tool for bifurcation analysis in dynamical systems theory as well as across almost all natural and engineering sciences. Although several excellent
Kuehn, Christian
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, 2020 We propose a high-order FDTD scheme based on the correction function method (CFM) to treat interfaces with complex geometry without increasing the complexity of the numerical approach for constant coefficients.
Law, Yann-Meing +2 more
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Variational Multiscale Stabilization and the Exponential Decay of Fine-scale Correctors [PDF]
, 2015 This paper addresses the variational multiscale stabilization of standard finite element methods for linear partial differential equations that exhibit multiscale features. The stabilization is of Petrov-Galerkin type with a standard finite element trial
A. Abdulle +41 more
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International Journal of ThermofluidsThe precise forecasting of thermal and mass transportation properties in a non-Newtonian nanofluid circulation is vital for the design and development of efficient thermal management systems, especially in micro-scale electronic devices, polymer ...
S Raghu +5 more
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