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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:Unconditional stability and error estimates of FEMs for the electro-osmotic flow in micro-channels
微通道 电渗流FEM 无条件稳定性 误差估计
2023/5/15
The asymptotic error floor of LDPC ensembles under BP decoding
Binary no memory random elements the noise
2015/8/21
We consider communication over binary memoryless symmetric channels using random elements from irregular low density parity check code (LDPC) ensembles, and belief propagation (BP) decoding. Under the...
Jacobi-type Gauss-Seidel Smoother with Error Compensation for Parallel Multigrid
parallel multigrid parallel Gauss-Seidel JGS JGSEC
2012/8/10
Smoother is the most important component of parallel multigrid methods, however,
the widely used Gauss-Seidel smoother is difficult to be parallelized. This paper
proposes a new parallel smoother, J...
An Error Estimate For a Plane Elasticity Problem and The Enhanced Assumed Strain Method
2D-elasticity enhanced strain method shear locking nonconforming element
2012/8/8
The method of enhanced assumed strains (EAS) is a popular tool for avoiding locking
phenomena, e.g., a remedy for shear locking in plane elasticity. We consider bending-dominated
problems and prove ...
Error Estimate of Force-Based Quasicontinuum Method
Quasicontinuum method ghost force convergence accuracy
2012/8/8
We prove that the force-based quasicontinuum method converges uniformly with
痳st order accuracy.
Error Anal Ysis of Some MultiI-Symplectic Scheme for Klein-Gordon-SchringerEquation
Error analysis conservation laws multi-symplectic scheme Klein-Gordon-Schr膐dinger equation.
2012/8/7
In this paper, we study the multi-symplectic method for the Klein-
Gordon-Schr膐dinger equation. Besides conserving the multi-symplectic structure of
the equation, the multi-symplectic method is also...
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...
Polyharmonic Hardy Spaces on the Complexified Annulus and Error Estimates of Cubature Formulas
Hardy space Numerical Integration Cubature formulas Error estimate
2012/4/23
The present paper has a twofold contribution: first, we introduce a new concept of Hardy spaces on a multidimensional complexified annular domain which is closely related to the annulus of the Klein-D...
A Posteriori Error Estimates for Nonconforming Approximations of Evolutionary Convection-Diffusion Problems
a posteriori error estimates time-nonconforming approximations convection-diffusion
2011/2/25
We derive computable upper bounds for the difference between an exact solution of the evolutionary convection-diffusion problem and an approximation of this solution.
Error Estimates in Horocycle Averages Asymptotics: Challenges from String Theory
Error Estimates Horocycle Averages Asymptotics Challenges String Theory
2011/1/21
For modular functions of rapid decay, a classical result connects the error estimate in their long horocycle average asymptotic to the Riemann hy-pothesis.
The asymptotical error of broadcast gossip averaging algorithms
asymptotical error of broadcast gossip algorithms
2011/2/21
In problems of estimation and control which involve a network, efficient distributed computation of averages is a key issue.
A posteriori error estimates for a finite element approximation of transmission problems with sign changing coefficients
A posteriori estimator non positive definite diffusion problems
2010/12/8
We perform the a posteriori error analysis of residual type of a transmission problem with sign changing coefficients. According to [6] if the contrast is large enough, the continuous problem can be t...
Entanglement can increase asymptotic rates of zero-error classical communication over classical channels
asymptotic rates of zero-error classical classical channels
2010/12/15
It is known that the number of dierent classical messages which can be communicated
with a single use of a classical channel with zero probability of decoding error can sometimes
be increased by us...
Error bounds for small jumps of Lévy processes and financial applications
Approximation of small jumps L´ evy processes Skorokhod embedding
2010/12/16
The pricing of exotic options in exponential L´evy models amounts to the computation of expectations of functionals of the whole path of a L´evy process. In many situations, Monte-Carlo me...
EFFICIENT AND ERROR-CORRECTING DATA STRUCTURES FOR MEMBERSHIP AND POLYNOMIAL EVALUATION
ERROR-CORRECTING DATA STRUCTURES POLYNOMIAL EVALUATION
2012/11/30
We construct efficient data structures that are resilient against a constant fraction of adversarial noise. Our model requires that the decoder answers most queries correctly with high probability and...