Sentence examples similar to formulated with linear equations from inspiring English sources

An initial-value problem is formulated with linear Boussinesq equations to study the inertio-gravity waves without the "traditional approximation" that is to include a complete effect of rotation.

This makes the non-linear diffusivity equation unfavorable and tedious in comparison with linear equations.

This is pretty easy to do, especially if you are dealing with linear equations.

They have also formulated a source linear equation similar with [12] to estimate the source location and velocity via least square method.

The resulting problems are formulated as systems of linear equations which can be solved by standard numerical linear algebra packages.

Such problems, involving discontinuous coefficients in the governing differential equation, are formulated with an integral equation by using a Green function and the basic theory of linear integral equations.

The AA method was formulated as a linear equation which relates actual ET to meteorological data.

Then the set of autocorrelation matrices allows us to formulate a series of linear equations relating the outer products of the scaled steering vectors.

From this, the path synthesis problem has been formulated using a set of linear equations.

The constitutive equation for the evolution of the stress is formulated with a non-linear tensor-valued function depending on the current void ratio, the Cauchy stress, the rate of deformation and a structure tensor for anisotropy effects.

We obtain a new result even for linear equations with constant and periodic coefficients which is formulated as the corollary below.