Sentence examples for * pdes from inspiring English sources

They make use of partial differential equations (PDEs) to model the virus-tumor system, because PDEs provide efficient information on the spatial and reactive mechanisms affecting the wave propagating fronts and PDEs can be used to compute their speeds.

Hairer's general theory addresses other, higher-dimensional stochastic PDEs that are not well defined.

However, nonlinear PDEs are among the most difficult mathematical objects to understand.

By contrast, partial differential equations (PDEs) describe systems that change with respect to more than one variable, for example, time and position.

Hairer's work has caused a great deal of excitement because it develops a general theory that can be applied to a large class of nonlinear stochastic PDEs.

Some of the most important natural phenomena are governed by nonlinear PDEs, so understanding these equations is a major goal for mathematics and the sciences.

Many PDEs are nonlinear, meaning that the terms in it are not simple proportions – for example, they might be raised to an exponential power.

Prior to Hairer's work, researchers had made a good deal of progress in understanding linear stochastic PDEs, but there was a fundamental block to addressing nonlinear cases.

Specially, PDEs can establish many complex models.

The surface solutions satisfy first order PDEs.

The 11 structurally related, highly regulated, and functionally distinct mammalian PDE gene families (PDEs 1 11) are class I PDEs, as are PDEs found in Drosophilia, nematodes, yeast, sponges, and parasites such as Trypanasoma brucei and T. cruzei.