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Drag reduction through self-similar bending of a flexible body
The classical theory of high-speed flow predicts that a moving rigid object experiences a drag proportional to the square of its speed. However, this reasoning does not apply if the object in theExpand
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A high‐order finite difference discretization strategy based on extrapolation for convection diffusion equations
We propose a new high-order finite difference discretization strategy, which is based on the Richardson extrapolation technique and an operator interpolation scheme, to solve convection diffusionExpand
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Pseudo almost automorphic solutions to semilinear differential equations in Banach spaces
Abstract In this paper, we prove that the space $(\mathit{PAA}(\mathbb{R},\mathbb{X}),\|\cdot\|_{0})$ is complete. This not only gives an affirmative answer to a basic problem in this field, butExpand
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The Mean Field Theory In EM Procedures For Markov Random Fields
  • J. Zhang
  • Mathematics
  • Proceedings of the Seventh Workshop on…
  • 23 September 1991
The EM (expectation-maximization) algorithm is a maxinium-likelihood parameter estimation procedure for incomplete data problems in which part of the data is hidden, or unobservable. In many signalExpand
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Composition of pseudo almost automorphic and asymptotically almost automorphic functions
This paper is concerned with pseudo almost automorphic functions, which are more general and complicated than pseudo almost periodic functions and asymptotically almost automorphic functions. NewExpand
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Comparison of Second- and Fourth-Order Discretizations for Multigrid Poisson Solvers
We combine a compact high-order difference approximation with multigrid V-cycle algorithm to solve the two-dimensional Poisson equation with Dirichlet boundary conditions. This scheme, along withExpand
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Accelerated multigrid high accuracy solution of the convection-diffusion equation with high Reynolds number
A fourth-order compact finite difference scheme is employed with the multigrid algorithm to obtain highly accurate numerical solution of the convection-diffusion equation with very high ReynoldsExpand
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Free-Wave Energy Dissipation in Experimental Breaking Waves
Several transient wave trains containing an isolated plunging or spilling breaker at a prescribed location were generated in a two-dimensional wave flume using an energy focusing technique. SurfaceExpand
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Persistent homology and Floer-Novikov theory
We construct "barcodes" for the chain complexes over Novikov rings that arise in Novikov's Morse theory for closed one-forms and in Floer theory on not-necessarily-monotone symplectic manifolds. InExpand
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