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This results in devices with multiple scales in a hierarchical design.
For circles, the V1 and V2 versions work better with multiple scales.
A new method for solving numerically stochastic partial differential equations (SPDEs) with multiple scales is presented.
We present a technique for solving parametrized elliptic partial differential equations with multiple scales.
For weak thermomechanical coupling an asymptotic solution can be obtained by using the method of perturbation with multiple scales.
A multilevel Monte Carlo (MLMC) method for mean square stable stochastic differential equations with multiple scales is proposed.
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The basic solution presented here can be used to analyze the detachment of surfaces with multiple scale roughness as well.
For second and third sub-procedures, we dealt with multiple scale factors using a two-dimension GPU thread block assigning method for exploiting time-frequency-scale data parallelism.
Complementary solution methods are employed, namely, finite-difference and Galerkin spatial discretization, followed by numerical time-integration, or Galerkin spatial discretization in conjunction with Multiple Scale perturbation analysis.
The flow of power-law fluids through fibrous media at low-pore Reynolds number is investigated using the homogenization method for periodic structures with multiple scale expansions.
The gas dynamics under gravitational field is usually associated with multiple scale nature due to large density variation and a wide variation of local Knudsen number.
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