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The Relaxation Schemes for Systems of Conservation Laws in Arbitrary Space Dimensions
 Comm. Pure Appl. Math
, 1995
"... We present a class of numerical schemes (called the relaxation schemes) for systems of conservation laws in several space dimensions. The idea is to use a local relaxation approximation. We construct a linear hyperbolic system with a stiff lower order term that approximates the original system with ..."
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Cited by 250 (21 self)
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We present a class of numerical schemes (called the relaxation schemes) for systems of conservation laws in several space dimensions. The idea is to use a local relaxation approximation. We construct a linear hyperbolic system with a stiff lower order term that approximates the original system
Learnability and the VapnikChervonenkis dimension
, 1989
"... Valiant’s learnability model is extended to learning classes of concepts defined by regions in Euclidean space E”. The methods in this paper lead to a unified treatment of some of Valiant’s results, along with previous results on distributionfree convergence of certain pattern recognition algorith ..."
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Cited by 727 (22 self)
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Valiant’s learnability model is extended to learning classes of concepts defined by regions in Euclidean space E”. The methods in this paper lead to a unified treatment of some of Valiant’s results, along with previous results on distributionfree convergence of certain pattern recognition
flow equations in one space dimension
, 2009
"... Interface conditions for degenerate twophase flow equations in one space dimension ..."
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Interface conditions for degenerate twophase flow equations in one space dimension
Zakharov Equations in Three Space Dimensions with Large Data
, 2003
"... in three space dimensions with large data by ..."
Statistics in Space Dimension Two
"... We construct as a selfadjoint operator the Schroedinger hamiltonian for a system of N identical particles on a plane, obeying the statistics defined by a representation ß 1 of the braid group. We use quadratic forms and potential theory, and give details only for the free case; standard arguments p ..."
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Cited by 2 (0 self)
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on a plane under the influence of a shielded magnetic field (AharanovBohm effect). 0. INTRODUCTION For quantum particles in space dimension two (as can be considered, at least to first approximation, particles confined in a very thin layer) statistics has a richer structure than in three dimensions
Intermittency and . . . Space Dimension
, 1996
"... We establish exact inequalities for the structurefunction scaling exponents of a passively advected scalar in both the inertialconvective and viscousconvective ranges. These inequalities involve the scaling exponents of the velocity structure functions and, in a refined form, an intermittency exp ..."
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[Nonlinearity 7 1045 (1994)], but with a more direct proof. The inequalities in their simplest form follow from a Kolmogorovtype relation for the turbulent passive scalar valid in each space dimension d. Our improved inequalities are based upon a rigorous version of the refined similarity hypothesis
An Optimal Algorithm for Approximate Nearest Neighbor Searching in Fixed Dimensions
 ACMSIAM SYMPOSIUM ON DISCRETE ALGORITHMS
, 1994
"... Consider a set S of n data points in real ddimensional space, R d , where distances are measured using any Minkowski metric. In nearest neighbor searching we preprocess S into a data structure, so that given any query point q 2 R d , the closest point of S to q can be reported quickly. Given any po ..."
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Cited by 984 (32 self)
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Consider a set S of n data points in real ddimensional space, R d , where distances are measured using any Minkowski metric. In nearest neighbor searching we preprocess S into a data structure, so that given any query point q 2 R d , the closest point of S to q can be reported quickly. Given any
Antide Sitter Space, Thermal Phase Transition, and Confinement in Gauge Theories
 Adv. Theor. Math. Phys
, 1998
"... The correspondence between supergravity (and string theory) on AdS space and boundary conformal field theory relates the thermodynamics of N = 4 super YangMills theory in four dimensions to the thermodynamics of Schwarzschild black holes in Antide Sitter space. In this description, quantum phenome ..."
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Cited by 1083 (3 self)
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The correspondence between supergravity (and string theory) on AdS space and boundary conformal field theory relates the thermodynamics of N = 4 super YangMills theory in four dimensions to the thermodynamics of Schwarzschild black holes in Antide Sitter space. In this description, quantum
THE PHYSICS SPACE DIMENSION
, 2008
"... All fermions and all interactions between fermions are expressed by the Cayley numbers in our spacetime. PACS 02.50.Cw 04.20.Cz 11.10.Kk 12.10.Dm ⋄ 3+1 SPACETIME Let A(t, − → x) be the event, which can be expressed as: ”The particle eA is detected in the space point − → x at the time moment t ” an ..."
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All fermions and all interactions between fermions are expressed by the Cayley numbers in our spacetime. PACS 02.50.Cw 04.20.Cz 11.10.Kk 12.10.Dm ⋄ 3+1 SPACETIME Let A(t, − → x) be the event, which can be expressed as: ”The particle eA is detected in the space point − → x at the time moment
Results 1  10
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24,914