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In this paper, we will provide the the finite element method for the electro-osmotic flow in micro-channels, in which a convection-diffusion type equation is given for the charge density ρe. A time-di...
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...
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...
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 ...
We prove that the force-based quasicontinuum method converges uniformly with 痳st order accuracy.
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...
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...
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...
We derive computable upper bounds for the difference between an exact solution of the evolutionary convection-diffusion problem and an approximation of this solution.
For modular functions of rapid decay, a classical result connects the error estimate in their long horocycle average asymptotic to the Riemann hy-pothesis.
In problems of estimation and control which involve a network, efficient distributed computation of averages is a key issue.
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...
It is known that the number of di erent 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...
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...
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...

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