Sentence examples for methods for first from inspiring English sources

New concepts of consistency, generalized monotonicity, and stability are introduced; among them, the generalized monotonicity and consistency, which are easier to verify in practice, are natural extensions of the corresponding notions of finite difference methods for first order fully nonlinear Hamilton Jacobi equations.

The goal of the paper is to extend the successful framework of monotone, consistent, and stable finite difference methods for first order fully nonlinear Hamilton Jacobi equations to second order fully nonlinear PDEs such as Monge Ampère and Bellman type equations.

To this end, we present two new monolithic multi-time-step mixed coupling methods for first-order transient systems.

For other methods, we indicate the papers [17, 19], which give a survey of regularization methods for first-kind Volterra equations.

The results, obtained from volume-averaging methods for first-order kinetics, show that the effective diffusivity is an increasing function of the Thiele modulus.

Visualization methods for third-party damage risk based on BLD.

We study domain decomposition methods for fourth-order plate problems.

In [10], Hu and Zhang used finite-difference methods for fourth-order fractional diffusion-wave.

(5) Visualization methods for third-party damage risk based on BLD.  .

The filtering, integrity, reduction, and discretization methods for third-party communication mobile data were established as the pretreatment.

Motivated by applications to numerical simulations of flows in highly heterogeneous porous media, we develop multiscale finite element methods for second order elliptic equations.