ABSTRACT
We establish the unique ergodicity of the Markov chain generated by the stochastic theta method (STM) with \theta \in [1/2, 1] for monotone SODEs and SPDEs driven by multiplicative noise....
ABSTRACT
The multiscale decomposition of images developed by Tadmor, Nezzar and Vese in 2004 has been extended to other imaging applications and to inverse problems, even in the nonlinear case, by ...
ABSTRACT
The a priori and a posteriori error analysis in [1, 3] establishes a unified analysis for different finite element approximations to regular roots of nonlinear partial differential equatio...
ABSTRACT
The wave fields propagating in the presence of small-scaled particles are usually approximated via linear combinations of interacting point-sources (as poles and dipoles)....
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ABSTRACT
As the driving force of atmospheric and oceanic circulation, the large-scale circulation (LSC) of thermal convection appears in many natural phenomena on Earth and beyond....
ABSTRACT
Cosmic Microwave Background (CMB) is the thermal radiation remnant from the Big Bang. It is a primary source of information regarding the early universe....