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By using the analog method (AM), the gaps are infilled (result of step AM, section S1 of appendix S1) (2).
The trend that can be observed is an undersizing when templating with Digital Method 1 and (almost) correct planning when using the analog method or Digital Method 2 (Fig. 2).
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In the case when (H5)(ii) or (H 5)(iii) hold, we use the analog method.
The numerical solution of the aforementioned initial boundary value problem is performed using the analog equation method, a BEM based method, leading to a system of nonlinear differential-algebraic equations (DAE), which is solved using an efficient time discretization scheme.
Six boundary value problems are formulated and solved using the analog equation method (AEM), a BEM based method.
This problem is solved using the analog equation method (AEM) for hyperbolic differential equations with variable coefficients.
The arches are modeled using a generic curved beam model that includes both axial (tangential) and transverse (normal) deformation and the problem is solved using the analog equation method (AEM) for hyperbolic differential equations with variable coefficients.
This problem is solved using the analog equation method (AEM) of Katsikadelis for the fourth-order hyperbolic differential equation with variable coefficients, together with a simple and direct iterative method for the evaluation of the critical load based on the eigenvalue sensitivity.
The three coupled nonlinear equations in terms of the displacements governing the response of the membrane are solved using the analog equation method, which reduces the problem to the solution of three uncoupled Poisson's equations with fictitious domain source densities.
The solution is achieved using the analog equation method (AEM), which transforms the original equations into three uncoupled linear equations, namely a linear plate (biharmonic) equation for the transverse deflection and two linear membrane (Poisson's) equations for the inplane deformation under fictitious loads.
Real-time digital pulse shaping techniques allow synthesis of pulse shapes that have been difficult to realize using the traditional analog methods.
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