Artificial intelligence (AI) systems, particularly artificial neural networks, have proved to be highly promising tools for ...

1.3 Introduction to functional analysis PDF html md 2 Elliptic problems 2.1 Elliptic problems PDF html md 2.2 Finite differences for elliptic problems PDF html md 2.3 Finite elements for elliptic ...

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ABSTRACT: In previous papers, we proposed the important Z transformations and obtained general solutions to a large number of linear and quasi-linear partial differential equations for the first time.

Abstract: This article considers the adaptive stability control of a class of $2\times2$ linear hyperbolic PDE systems. The PDE model is subject to constant but in-domain and boundary unknown ...

We present a machine learning method based on random projections with Johnson-Lindenstrauss (JL) and/or Rahimi and Recht (2007) Random Fourier Features (RFFN) for efficiently learning linear and ...

ABSTRACT: This paper is concerned with a modified transitional Korteweg-de Vries equation u t +f( t ) u 2 u x + u xxx =0 , ( x,t )∈ R + × R + with initial value u( x,0 )=g( x )∈ H 4 ( R + ) and ...

Modified Benney-Luke equation (mBL equation) is a three-dimensional temporal-spatial equation with complex structures, that is a high-dimensional partial differential equation (PDE), it is also a new ...

The four-year-old startup founded by three Finns is already used by fellow startups like Cohere, Ramp and Runway. It’s now valued at about $400 million as it makes a big-business push. Other startups ...

Abstract: This paper covers model-based fault detection and isolation for linear and nonlinear distributed parameter systems (DPS). The first part mainly deals with actuator, sensor and state fault ...