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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Space-time finite and boundary element methods for the wave equation
波动方程 时空有限元 边界元方法
2023/4/21
In this talk we will review some recent results on space-time finite and boundary element methods for the wave equation. As a first model problem we consider the inhomogeneous wave equation with zero ...
Space-time variations of the Umbria-Marche region instrumental seismicity
b value seismicity Apennines
2015/9/29
In the Umbria-Marche region, space and time variations concerning the b value were studied by instrumental seismicity from January 1987 to May 1999, according to the Bender method. Data were divided i...
BLIND SOURCE SEPARATION BASED ON SPACE-TIME-FREQUENCY DIVERSITY
BLIND SOURCE SEPARATION SPACE-TIME-FREQUENCY DIVERSITY
2015/9/29
We investigate the assumption that sources have disjoint support in the time domain, time-frequency domain, or frequency domain. We call such signals disjoint orthogonal. The class of signals that app...
Southern-Tyrrhenian seismicity in space-time-magnitude domain
Southern-Tyrrhenian Sea statistical models aftershock sequences background seismicity
2015/9/8
An analysis is conducted on a catalogue containing more than 2000 seismic events
occurred in the southern Tyrrhenian Sea between 1988 and October 2002, as an attempt
to characterise the main seismog...
A Space-Time Diffusion Scheme for Peer-to-Peer Least-Squares Estimation
Least-Squares Estimation Diffusion Scheme
2015/6/19
We consider a sensor network where each sensor takes multiple measurements of some unknown parameters, corrupted by independent Gaussian noises. The number of measurements at each node can be nite or ...
Quasi-Orthogonal Space-Time-Frequency Trellis Codes for MIMO-OFDM Systems
MIMO-OFDM receive diversity quasi-orthogonal designs trellis codes space-time-frequency codes
2012/7/9
The main objective of this project is to design the full-rate Space-Time-Frequency Trellis code (STFTC), which is based on Quasi-Orthogonal designs for Multiple-Input Multiple-Output (MIMO) Orthogonal...
A posteriori error analysis for a continuous space-time finite element method for a hyperbolic integro-differential equation
integro-differential equation continuous Galerkin finite element method convolution kernel stability a posteriori estimate
2012/5/9
An integro-differential equation of hyperbolic type, with mixed boundary conditions, is considered. A continuous space-time finite element method of degree one is formulated. A posteriori error repres...
A Space-time Smooth Artificial Viscosity Method For Nonlinear Conservation Laws
Space-time Smooth Artificial Viscosity Method Nonlinear Conservation Laws Computational Physics
2012/4/19
We introduce the $C$-method, a simple scheme for adding localized, space-time smooth, artificial viscosity to nonlinear systems of conservation laws which propagate shock waves, rarefactions, and cont...
People used to establish physical laws on the mathematical frame directly, without considering the existence of the No-Shape-Substance. We believe such physical laws are separated from their nature. S...
Global existence of small amplitude solution to nonlinear system of wave and Klein-Gordon equations in four space-time dimensions
Global existence nonlinear system wave and Klein-Gordon equations four space-time dimensions
2011/9/14
Abstract: In this article one will develop a so-called hyperboloidal foliation method, which is an energy method based on a foliation of space-time into hyperboloidal hypersurfaces. This method permit...
Starting from the universal entropy bounds suggested by Bekenstein and Susskind and applying them to the black-body radiation situation, we get a cut-off of space x ≥ lP with ≥ 0.1. We go further ...
On a proof of the collapse conjecture for a diagonal Bianchi type-IX vacuum space-time
collapse conjecture diagonal Bianchi type-IX vacuum space-time General Relativity and Quantum Cosmology
2011/7/27
Abstract: It is given a simple proof of the collapse conjecture for a diagonal Bianchi type-IX vacuum space-time. It is shown that the codimension of the infinity stable attractor, restricted to the a...
Fuzzy Geometry via the Spinor Bundle, with Applications to Holographic Space-time and Matrix Theory
Fuzzy Geometry the Spinor Bundle Holographic Space-time Matrix Theory
2011/7/27
Abstract: We present a new framework for defining fuzzy approximations to geometry in terms of a cutoff on the spectrum of the Dirac operator, and a generalization of it that we call the Dirac-Flux op...
Riemannian $\mathbf{(1+d)}$-Dim Space-Time Manifolds with Nonstandard Topology which Admit Dimensional Reduction to Any Lower Dimension and Transformation of the Klein-Gordon Equation to the $\mathbf{1}$-Dim Schrödinger Like Equation
Riemannian $\mathbf{(1+d)}$-Dim Space-Time Manifolds Nonstandard Topology Any Lower Dimension Transformation of the Klein-Gordon Equation $\mathbf{1}$-Dim Schrö dinger Like Equation
2011/2/21
This rather technical paper presents some generalization of the results of recent publications [1–3]where toy models of dimensional reduction of space-time were considered.
Tracing light propagation to the intrinsic accuracy of space-time geometry
relativity gravitation space-time geometry weak field approximations light propagation
2011/3/4
Advancement in astronomical observations and technical instrumentation requires coding light
propagation at high level of precision; this could open a new detection window of many subtle relativistic...