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Results 1 - 10
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5,584
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 ..."
Abstract
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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 1-D and 2-D problems are presented. The second order
Cosmologies with General Non-Linear 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 K-essence 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 K-essence model the potential should be taken as a inverse square form. The linear field
Action MACH: a spatio-temporal 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 template-based method for recognizing human actions called Action MACH. Our approach is based on a Maximum Average Correlation Height (MACH) filter. A common limitation of template-based methods is their inability to generate a single template using a collection of examp ..."
Abstract
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Cited by 237 (10 self)
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avoid the high computational cost commonly incurred in template-based approaches. Vector valued data is analyzed using the Clifford Fourier transform, a generalization of the Fourier transform intended for both scalar and vector-valued 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 ..."
Abstract
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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 negative-energy conti ..."
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Cited by 177 (3 self)
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with a quantum-field-theoretical approach. Non-linear field effects are shown to have no influence. Vacuum polarization and the self-screening of extremely strong electric charges are treated explicitly. Adiabatic collisions of heavy ions leading to the transient formation of quasi-molecular 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 ..."
Abstract
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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
Non-linear Q-clouds around Kerr black holes
, 2014
"... Q-balls are regular extended ‘objects ’ that exist for some non-gravitating, self-interacting, 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 non-linear bound states of ..."
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Q-balls are regular extended ‘objects ’ that exist for some non-gravitating, self-interacting, 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 non-linear bound states
A NON-LINEAR SCHRÖDINGER TYPE FORMULATION OF FLRW SCALAR FIELD COSMOLOGY
, 2006
"... Abstract. We show that the Friedmann-Lemaître-Robertson-Walker equations with scalar field and perfect fluid matter source are equivalent to a suitable non-linear 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 Friedmann-Lemaître-Robertson-Walker equations with scalar field and perfect fluid matter source are equivalent to a suitable non-linear 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 blow-up 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 blow-up 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
Results 1 - 10
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5,584
