Sentence examples for solution of continuum from inspiring English sources

A simplified method to integrate the continuum equations numerically is presented in [12], where the concepts and tools in electromagnetic equations, such as the finite-differencing scenario, are applied to the solution of continuum power networks.

Previous research has shown that the application of residual Monte Carlo methods to the solution of continuum equations, such as the radiation transport equation, is problematic for all but the simplest of cases.

For simulations of tissue mechanics, we have used a nonlinear Finite Element Method which provides an approximate solution of continuum elasticity problems on domains with complex geometry (Zienkiewicz et al., 2005).

It is difficult to integrate the analytical solution of the continuum model because its coefficients are functions of spatial coordinates.

The LTP method employs a local (polynomial) solution of the continuum PDE to construct numerical algorithms.

According to Rayleigh wave solution of the continuum elasticity equation, the strain surrounding a surface distortion should die off exponentially inside the solid with a decay length similar to the disturbance size.

The cost functional minimization process is realized through a non-linear conjugate gradient algorithm that utilizes finite element solutions of the continuum direct and sensitivity problems.

Once thus corrected, König's theorem became one of the very few results restricting the possible solutions of the continuum problem, implying e.g. that Card(R) is not equal to ℵω.

The cost functional minimization process is realized by the conjugate gradient method via the finite element method solutions of the continuum direct, sensitivity, and adjoint problems.

We present a set of restrictions on the fractional differential equation x ( t ) = g ( x ( t ) ), t ≥ 0, where α ∈ ( 0, 1 ) and g ( 0 ) = 0, that leads to the existence of an infinity of solutions (a continuum of solutions) starting from x ( 0 ) = 0.

As an example, the equation x ′ = f ( x ) = x ⋅ χ ( 0, + ∞ ) ( x ) has an infinity of solutions (a continuum of solutions [8], p.15]) x T ( t ) = ( t − T ) 2 4 ⋅ χ ( T, + ∞ ) ( t ) defined on the nonnegative half-line which start from x ( 0 ) = 0. Here, by χ we denote the characteristic function of a Lebesgue-measurable set.