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LOCAL AND PARALLEL FINITE ELEMENT ALGORITHMS FOR THE NAVIER-STOKESPROBLEM
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2007/12/12
Based on two-grid discretizations, in this paper, some new local and
parallel finite element algorithms are proposed and analyzed for the
stationary incompressible Navier-Stokes problem.
These algo...
THE CALCULUS OF GENERATING FUNCTIONS AND THE FORMAL ENERGY FORHAMILTONIAN ALGORITHMS
enerating function calculus of generating functions Darboux transformation cotangent bundles Lagrangian submanifold invariance of generating function formal energy
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2007/12/12
n [2--4], symplectic schemes of arbitrary order are constructed by
generating functions. However the construction of generating functions
is dependent on the chosen coordinates. One would like to ...
Linear Time Algorithms for Parallel Machine Scheduling
scheduling design and analysis of algorithm worst-case ratio computer-aided proof
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2007/12/11
This paper addresses linear time algorithms for parallel machine scheduling problems. We introduce a kind of threshold algorithms and discuss their main features. Three linear time threshold algorithm...
Optimal Preemptive Online Algorithms for Scheduling with Known Largest Size on two Uniform Machines
semi-online preemptive scheduling uniform machines competitive ratio
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2007/12/11
In this paper, we consider the semi-online preemptive scheduling problem with known largest job sizes on two uniform machines. Our goal is to maximize the continuous period of time (starting from time...
CONTACT ALGORITHMS FOR CONTACT DYNAMICAL SYSTEMS
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2007/12/11
In this paper, we develop a general way to construct contact algorithms for contact dynamical systems. Such an algorithm requires the corresponding step-transition map preserve the contact structure o...
CONVERGENCE OF ALGORITHMS FOR FINDING EIGENVECTORS
Eigenvectors algorithms conv
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2007/12/11
In this paper we give a rigorous analysis of convergence of algorithms for finding eigenvectors of a real symmetric matrix. The algorithms are deterministic and our methods are very intuitive.
Local and Parallel Finite Element Algorithms for Eigenvalue Problems
Eigenvalue finite element local algorithm
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2007/12/11
Some new local and parallel finite element algorithms are proposed and analyzed in this paper for eigenvalue problems. With these algorithms, the solution of an eigenvalue problem on a fine grid is re...
A CLASS OF MODIFIED BROYDEN ALGORITHMS
MODIFIED BROYDEN ALGORITHMS
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2007/12/11
In this paper we discuss the convergence of the modified Broyden algorithms.We prove that the algorithms are globally convergent for the colltinuous differen tiable function and the rate of convergenc...
Penalty Algorithms in Hilbert Spaces
penalty methods infinite dimensional optimization
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2007/12/11
We analyze the classical penalty algorithm for nonlinear programming in Hilbert spaces and obtain global convergence results, as well as asymptotic superlinear convergence order. These convergence res...
MONOTONE PIECEWISE CURVE FITTING ALGORITHMS
MONOTONE PIECEWISE CURVE FITTING ALGORITHMS
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2007/12/11
A piecewise cubic curve fitting algorithm preserving monotonicity of the data without modification of the assigned slopes ig proposed. The algorithm has the same order of convergence as Yan's algorith...
THE CONVERGENCE OF BROYDEN ALGORITHMS WITHOUT CONVEXITY ASSUMPTION
Broyden algorithms convergence convexi
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2007/12/10
摘要 In this paper we discuss the convergence of the Broyden algorithms without convexity and exact line search assumptions. We proved that if the objective function is suitably smooth and the algorithm...
Influence of Specific Contributing Area algorithms on slope failure prediction in landslide modeling
Specific Contributing Area algorithms slope failure prediction landslide modeling
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2009/12/30
This study anatomized algorithm effects of specific contributing area (SCA) on soil wetness estimation, consequently landslide prediction, in SHALSTAB. A subtropical mountainous catchment during three...
Holographic Algorithms: The Power of Dimensionality Resolved
Holographic Algorithms Dimensionality Resolved
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2012/11/29
Valiant’s theory of holographic algorithms is a novel methodology to achieve exponential speed-ups in computation. A fundamental parameter in holographic algorithms is the dimension of the linear basi...
Bases Collapse in Holographic Algorithms
Bases Collapse Holographic Algorithms
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2012/11/29
Holographic algorithms are a novel approach to design polynomial time computations using linear superpositions.Most holographic algorithms are designed with basis vectors of dimension 2. Recently Vali...
On Symmetric Signatures in Holographic Algorithms
Signatures Holographic Algorithms
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2012/11/29
In holographic algorithms, symmetric signatures have been particularly useful.We give a complete characterization of these symmetric signatures over all bases of size 1. These improve previous results...