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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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with a small dissipative correction. The new system can be solved by underresolved stable numerical discretizations without using either Riemann solvers spatially or a nonlinear system of algebraic equations solver temporally. Numerical results for 1D and 2D problems are presented. The second order
Cosmologies with General NonLinear Scalar Field Wei Fang 1
, 2006
"... We generally investigate a new class of scalar field model with the lagrangian L = F(X) − V (φ). We find that it is the square potential(with a negative minimum) drives the usual linear field solution while in Kessence model the potential should be taken as a inverse square form. The linear field ..."
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We generally investigate a new class of scalar field model with the lagrangian L = F(X) − V (φ). We find that it is the square potential(with a negative minimum) drives the usual linear field solution while in Kessence model the potential should be taken as a inverse square form. The linear field
Action MACH: a spatiotemporal maximum average correlation height filter for action recognition
 In Proceedings of IEEE International Conference on Computer Vision and Pattern Recognition
, 2008
"... In this paper we introduce a templatebased method for recognizing human actions called Action MACH. Our approach is based on a Maximum Average Correlation Height (MACH) filter. A common limitation of templatebased methods is their inability to generate a single template using a collection of examp ..."
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Cited by 237 (10 self)
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avoid the high computational cost commonly incurred in templatebased approaches. Vector valued data is analyzed using the Clifford Fourier transform, a generalization of the Fourier transform intended for both scalar and vectorvalued data. Finally, we perform an extensive set of experiments
Subdivision surfaces in character animation
 In Proceedings of the 25th annual conference on Computer graphics and interactive techniques, SIGGRAPH ’98
, 1998
"... The creation of believable and endearing characters in computer graphics presents a number of technical challenges, including the modeling, animation and rendering of complex shapes such as heads, hands, and clothing. Traditionally, these shapes have been modeled with NURBS surfaces despite the seve ..."
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Cited by 233 (1 self)
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ulation including a new algorithm for efficient collision detection. Third, we developed a method for constructing smooth scalar fields on subdivision surfaces, thereby enabling the use of a wider class of programmable shaders. These developments, which were used extensively in our recently completed short film
Quantum electrodynamics of strong fields
, 1977
"... Quantum electrodynamics of strong external fields is investigated in the context of atomic physics. If the electromagnetic coupling constant Za becomes sufficiently large ( Z> l / a % 137 for point sources or Z> 172 for extended nuclei) bound electron states can join the negativeenergy conti ..."
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Cited by 177 (3 self)
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with a quantumfieldtheoretical approach. Nonlinear field effects are shown to have no influence. Vacuum polarization and the selfscreening of extremely strong electric charges are treated explicitly. Adiabatic collisions of heavy ions leading to the transient formation of quasimolecular electron
Texture Splats for 3D Scalar and Vector Field Visualization
"... Volume Visualization is becoming an important tool for understanding large 3D data sets. A popular technique for volume rendering is known as splatting. With new hardware architectures offering substantial improvements in the performance of rendering texture mapped objects, we present textured splat ..."
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Cited by 128 (11 self)
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Volume Visualization is becoming an important tool for understanding large 3D data sets. A popular technique for volume rendering is known as splatting. With new hardware architectures offering substantial improvements in the performance of rendering texture mapped objects, we present textured
Nonlinear Qclouds around Kerr black holes
, 2014
"... Qballs are regular extended ‘objects ’ that exist for some nongravitating, selfinteracting, scalar field theories with a global, continuous, internal symmetry, on Minkowski spacetime. Here, analogous objects are also shown to exist around rotating (Kerr) black holes, as nonlinear bound states of ..."
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Qballs are regular extended ‘objects ’ that exist for some nongravitating, selfinteracting, scalar field theories with a global, continuous, internal symmetry, on Minkowski spacetime. Here, analogous objects are also shown to exist around rotating (Kerr) black holes, as nonlinear bound states
A NONLINEAR SCHRÖDINGER TYPE FORMULATION OF FLRW SCALAR FIELD COSMOLOGY
, 2006
"... Abstract. We show that the FriedmannLemaîtreRobertsonWalker equations with scalar field and perfect fluid matter source are equivalent to a suitable nonlinear Schrödinger type equation. This provides for an alternate method of obtaining exact solutions of the Einstein field equations for a homog ..."
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Abstract. We show that the FriedmannLemaîtreRobertsonWalker equations with scalar field and perfect fluid matter source are equivalent to a suitable nonlinear Schrödinger type equation. This provides for an alternate method of obtaining exact solutions of the Einstein field equations for a
Nonlinear instability of scalar fields on extremal black holes”, Phys
 Rev. D
, 2013
"... We prove a new type of finite time blowup for a class of semilinear wave equations on extremal black holes. The initial data can be taken to be arbitrarily close to the trivial data. The first singularity occurs along the (degenerate) future event horizon. No analogue of this instability occurs for ..."
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Cited by 4 (0 self)
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We prove a new type of finite time blowup for a class of semilinear wave equations on extremal black holes. The initial data can be taken to be arbitrarily close to the trivial data. The first singularity occurs along the (degenerate) future event horizon. No analogue of this instability occurs
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