Results 301 to 310 of about 233,511 (375)

A new approach to weighted Sobolev spaces. [PDF]

Mon Hefte Math
Kebiche D.
europepmc   +1 more source

Numerical modeling of oxygen diffusion in tissue spheroids undergoing fusion using function representation and finite volumes. [PDF]

Sci Rep
Vilinski-Mazur K, Kirillov B, Rogozin O, Kolomenskiy D.   +3 more
europepmc   +1 more source

Genomic privacy and security in the era of artificial intelligence and quantum computing. [PDF]

Discov Comput
Annan R, Noland J, Perkins K, Yuan X, Roy K, Qingge L.   +5 more
europepmc   +1 more source

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Elliptic partial differential equation and optimal control

Numerical Methods for Partial Differential Equations, 1992
AbstractThe theory of optimal control and the semianalytical method of elliptic partial differential equation (PDE) in a prismatic domain are mutually simulated issues. The simulation of discrete‐time linear quadratic (LQ) control with the substructural chain problem in static structural analysis is given first.
Zhong Wan-xie, Zhong Xiang-Xiang
semanticscholar   +3 more sources

Elliptic Partial Differential Equations

2018
Let us consider the three-dimensional regular domain \(D\subset R^3\) bounded by the Liapunov surface \(S=\partial D\). In the classical mathematical analysis the following formula is proved which is called the Gauss-Ostrogradski-Green’s formula.
Andreas Öchsner, Marin Marin
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Elliptic Partial Differential Equation involving singularity

, 2017
The aim of this paper is to prove existence of solutions for a partial differential equation involving a singularity with a general nonnegative, Radon measure as source term which is given as \begin{eqnarray} -\Delta u &=& f(x)h(u)+\mu~\text{in}~\Omega ...
A. Panda, Sekhar Ghosh, D. Choudhuri
semanticscholar   +1 more source

A topological approach to nonlocal elliptic partial differential equations on an annulus

Mathematische Nachrichten, 2020
For q≥1 we consider the nonlocal ordinary differential equation −a∫01|y|qdsy′′(t)=λf(t,y(t ...
C. Goodrich
semanticscholar   +1 more source

On Elliptic Partial Differential Equations [PDF]

, 2011
This series of lectures will touch on a number of topics in the theory of elliptic differential equations. In Lecture I we discuss the fundamental solution for equations with constant coefficients. Lecture 2 is concerned with Calculus inequalities including the well known ones of Sobolev. In lectures 3 and 4 we present the Hilbert space approach to the
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Applications to Elliptic Partial Differential Equations [PDF]

, 2012
We consider elliptic partial differential equations in d variables and their discretisation in a product grid \(\mathbf{I} = \times^{d}_{j=1}I_{j}\). The solution of the discrete system is a grid function, which can directly be viewed as a tensor in \(\mathbf{V} = {\bigotimes}^{d}_{j=1}\mathbb{K}^{I_{j}}\). In Sect.
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On solving elliptic stochastic partial differential equations

Computer Methods in Applied Mechanics and Engineering, 2002
The paper solves elliptic boundary value problems of second-order with stochastic coefficients by using a Karhunen-Loève expansion. Estimates in the setup of Sobolev spaces are given. The paper also analyses the method of successive approximations and the perturbation method.
Panagiotis Chatzipantelidis, Ivo Babuška   +1 more
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