Sentence examples for either ordinary or partial from inspiring English sources

Thus, in terms of modeling techniques, the CMAP technology occupies an intermediate position between purely graphical methods and more quantitative models based on either ordinary or partial differential equations or stochastic formulations and it puts some limitations on possible mechanisms.

The most common modeling approach utilizes systems of either Ordinary or Partial Differential Equations (ODE and PDE, respectively) that directly describe the evolution of global quantities or populations over time [8].

These problems and phenomena are modeled by ordinary or partial differential equations.

To model procedures with aftereffect, it is not sufficient to employ ordinary or partial differential equations.

Idealized modeling of most engineering structures yields linear mathematical models, i.e., linear ordinary or partial differential equations.

Mathematical modeling of many engineering systems such as beam structures often leads to nonlinear ordinary or partial differential equations.

These problems and phenomena can be modeled by ordinary or partial nonlinear differential equations to find their behavior in the environment.

Consider the equation (Fu(t)=g(t)), where F represents a general nonlinear ordinary or partial differential operator including both linear and nonlinear terms.

The quasilinearization method was introduced by Bellman and Kalaba [55] to solve nonlinear ordinary or partial differential equations as a generalization of the Newton-Raphson method.

In the CMM, the real process should be approximated by a mathematical model (process model; ordinary or partial differential equation (ODE or PDE)), which in turn is approximated by a simulation model (numerical method) implemented on a computer.

Most important nonlinear problems of applied mathematics reduce to finding solutions of nonlinear functional equations (e.g., nonlinear integral equations, boundary value problems for nonlinear ordinary or partial differential equations, the existence of periodic solutions of nonlinear partial differential equations).