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SIAMSC
2010
13 years 8 months ago
2010
In this paper, we study alternating direction methods for solving constrained total-variation image restoration and reconstruction problems. Alternating direction methods can be im...
SIAMSC
2010
13 years 8 months ago
2010
In this paper, we will first introduce a novel multiscale representation (MSR) for shapes via level set motions and partial differential equations (PDEs). Based on the MSR, we wi...
SIAMSC
2010
13 years 8 months ago
2010
A greedy algorithm for the construction of a reduced model with reduction in both parameter and state is developed for efficient solution of statistical inverse problems governed b...
SIAMSC
2010
13 years 8 months ago
2010
We develop an adaptive finite element method for solving the eddy current model with voltage excitations for complicated three dimensional structures. The mathematical model is ba...
SIAMSC
2010
13 years 8 months ago
2010
The radiative transfer equation (RTE) occurs in a wide variety of applications. In this paper, we study discrete-ordinate discontinuous Galerkin methods for solving the RTE. The nu...