Sentence examples for equation methods from inspiring English sources

We will review the state of the art in integral equation methods for the solution of the heat equation and fluid flow in moving geometries.

The problem is solved by using the integral transform, singular integral equation methods and the theory of residues.

The well-known difficulty with exterior integral equation methods at critical frequencies carries over to the reduced problem.

Comparison of natural frequency shows excellent agreement with the solution of finite element, finite strip and integral equation methods.

Accurate evaluation of layer potentials is crucial when boundary integral equation methods are used to solve partial differential equations.

The use of singular integral equation methods to analyze these components is supported by a similar analysis on a dovetail experimental fixture.

Although the drawbacks of hard-kill methods are still present, the approach opens an interesting field of investigation for integral equation methods.

It reviews several recently proposed improvements to various existing techniques like: integral methods, differential equation methods, parabolic equations, diffraction theory and Gaussian beams.

Continuous sensitivity equation methods have been applied to a variety of applications ranging from optimal design, to fast algorithms in computational fluid dynamics to the quantification of uncertainty.

When solving elliptic boundary value problems using integral equation methods one may need to evaluate potentials represented by a convolution of discretized layer density sources against a kernel.

Integral equation methods provide more accurate upper bounds, for a comparable amount of effort, and supply improvable lower bounds as well.