Browsing School of Mathematics Faculty Publications by Title
Now showing items 120 of 119

Almost Automorphic and Almost Periodic Dynamics in SkewProduct Semiflows
(Georgia Institute of Technology, 1995)The current series of papers, which consists of three parts, are devoted to the study of almost automorphic dynamics in differential equations. By making use of techniques from abstract topological dynamics, we show that ... 
Almost Odd Random SumFree Sets
(Georgia Institute of Technology, 199507)We show that if S_1 is a strongly complete sumfree set of positive integers, and if S_0 is a finite sumfree set, then with positive probability a random sumfree set U contains S_0 and is contained in S_0\cup S_1. As ... 
Almost Periodically Forced Circle Flows
(Georgia Institute of Technology, 2007)We study general dynamical and topological behaviors of minimal sets in skewproduct circle flows in both continuous and discrete settings, with particular attentions paying to almost periodically forced circle flows. ... 
Approximate Feedback Linearization: A Homotopy Operator Approach
(Georgia Institute of Technology, 19950112)In this paper, we present an approach for finding feedback linearizable systems that approximate a given singleinput nonlinear system on a given compact region of the state space. First, we show that if the system is ... 
Approximate Speedup by Independent Identical Processing
(Georgia Institute of Technology, 199405)In this paper we prove that for algorithms which proceed to the next state based on information available from the current state, identical independent parallel processing using stochastic multistart methods always yields ... 
Asymptotic Almost Periodicity of Scalar Parabolic Equations with Almost Periodic Time Dependence
(Georgia Institute of Technology, 20091207) 
Back and Forth Error Compensation and Correction Methods for Removing Errors Induced by Uneven Gradients of the Level Set Function
(Georgia Institute of Technology, 2002)We propose a method that signi cantly improves the accuracy of the level set method and could be of fundamental importance for numerical solutions of di fferential equations in general. Level set method uses the level set ... 
Back and Forth Error Compensation and Correction Methods for SemiLagranging Schemes with Application to Interface Computation Using Level Set Method
(Georgia Institute of Technology, 2004)SemiLagranging schemes have been explored by several authors recently for transport problems in particular for moving interfaces using level set method. We incorporate the backward error compensation method developed in ... 
A Backward Point Shifted Levelset Method for Highly Accurate Interface Computation
(Georgia Institute of Technology, 2002)We propose a technique that could significantly improve the accuracy of the levelset method and has the potential for fully conservative treatment. Level set method uses the levelset function, usually an approximate signed ... 
Bounded Solutions of a TimeVarying BenjaminBonaMahony Equation
(Georgia Institute of Technology, 2002) 
C^k Conjugacy of 1D Diffeomorphisms with Periodic Points
(Georgia Institute of Technology, 19950605)It is shown that the set of heteroclinic orbits between two periodic orbits of saddlenode type induces a functional modulus. For onedimensional C^2 diffeomorphisms with saddlenode periodic points, two such diffeomorphisms ... 
Center Manifold and ExponentiallyBounded Solutions of a System of Parabolic Equations
(Georgia Institute of Technology, 20021001) 
Center Manifolds for Invariant Manifolds
(Georgia Institute of TechnologyAmerican Mathematical Society, 1997)We study dynamics of flows generated from smooth vector fields in R^n in the vicinity of an invariant and closed smooth manifold Y. By applying the Hadamard graph transform technique, we show that there exists an invariant ... 
Center Manifolds for Invariant Sets
(Georgia Institute of Technology, 1999)We derive a general center manifolds theory for a class of compact invariant sets of flows generated by a smooth vector fields in R^n. By applying the Hadamard graph transform technique, it is shown that, associated to ... 
Central Discontinuous Galerkin Methods on Overlapping Cells with a NonOscillatory Hierarchical Reconstruction
(Georgia Institute of Technology, 20060828)The central scheme of Nessyahu and Tadmor [J. Comput. Phys, 87 (1990)] solves hyperbolic conservation laws on a staggered mesh and avoids solving Riemann problems across cell boundaries. To overcome the difficulty of ... 
Central Schemes and Central Discontinuous Galerkin Methods on Overlapping Cells
(Georgia Institute of Technology, 2005)The central scheme of Nessyahu and Tadmor (J. Comput. Phys, 87(1990)) has the bene t of not having to deal with the solution within the Riemann fan for solving hyperbolic conservation laws and related equations. But the ... 
Central Schemes on Overlapping Cells
(Georgia Institute of Technology, 2004)Nessyahu and Tadmor's central scheme (J. Comput. Phys, 87(1990)) has the benefi t of not using Riemann solvers or characteristic decomposition for solving hyperbolic conservation laws and related convection diffusion ... 
A Characterization of Gaussian Measures via the Isoperimetric Property of HalfSpaces
(Georgia Institute of Technology, 19950725)If the halfspaces of the form {x\in R^n: x_1 \le c} are extremal in the isoperimetric problem for the product measure \mu^n, n\ge 2, then \mu is Gaussian. 
Commutator Bounds for Eigenvalues of Some Differential Operators
(Georgia Institute of Technology, 199403) 
Commutator Bounds for Eigenvalues, with Applications to Spectral Geometry
(Georgia Institute of Technology, 199403)We prove a purely algebraic version of an eigenvalue inequality of Hile and Protter, and derive corollaries bounding differences of eigenvalues of LaplaceBeltrami operators on manifolds. We significantly improve earlier ...