The best way to go about any equation is by using the handy math acronym PEMDAS, a concept typically taught under the Common ...

Abstract: This note studies the stability problem of nonlinear positive differential-difference equations with unbounded time-varying delays. Under assumptions on the nonlinear vector fields, such as ...

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Abstract: This article studies the positivity and stability of homogeneous coupled differential-difference equations with time-varying delays. First, a sufficient positivity condition is proposed for ...

The temporal evolution of the universe, from the Big Bang to the present, is described by Einstein’s field equations of general relativity. However, there are still a number of open questions about ...

I want to identify the parameter q(x) in elliptic equation -du_xx + q(x)u =f, x\in [-1,1], where true solution u=sin(pi*x^2), q(x)=cos(x) is unknown. The following is the code: the train loss and test ...

With increasing complexity of today’s electromagnetic problems, the need and opportunity to reduce domain sizes, memory requirement, computational time and possibility of errors abound for symmetric ...

In Douglas Adams' sci-fi series "The Hitchhiker's Guide to the Galaxy," a pair of programmers task the galaxy's largest supercomputer with answering the ultimate question of the meaning of life, the ...