Results 301 to 310 of about 3,685,749 (356)

On differences and comparisons of peridynamic differential operators and nonlocal differential operators

Computational Mechanics, 2021
X. Kan, Jiale Yan, Shaofan Li, A. Zhang
semanticscholar   +1 more source

Variational Physics-informed Neural Operator (VINO) for solving partial differential equations

Computer Methods in Applied Mechanics and Engineering
Solving partial differential equations (PDEs) is a required step in the simulation of natural and engineering systems. The associated computational costs significantly increase when exploring various scenarios, such as changes in initial or boundary ...
M. Eshaghi, C. Anitescu, Manish Thombre, Yizheng Wang, X. Zhuang, T. Rabczuk   +5 more
semanticscholar   +1 more source

DEGENERATING ELLIPTIC DIFFERENTIAL AND PSEUDO-DIFFERENTIAL OPERATORS

Russian Mathematical Surveys, 1970
The present paper is a survey of some results concerning higher-order elliptic differential operators which degenerate on the boundary of a domain. The principal aspect in the study of such operators is that of investigating the corresponding ordinary equations with parameters which degenerate at a single point.
Vishik, M. I., Grushin, V. V.
openaire   +1 more source

Boundary Value Problems, Weyl Functions, and Differential Operators

Monographs in Mathematics, 2020
J. Behrndt, S. Hassi, H. Snoo
semanticscholar   +1 more source

New concept in calculus: Piecewise differential and integral operators

, 2021
A. Atangana, Seda İğret Araz
semanticscholar   +1 more source

Semigroups of Linear Operators and Applications to Partial Differential Equations

Applied Mathematical Sciences, 1992
A. Pazy
semanticscholar   +1 more source

Differential Operators and Differential Modules

2003
In this chapter k is a differential field such that its subfield of constants C is different from k and has characteristic 0. The skew (i.e., noncommutative) ring D :=k[∂] consists of all expressions L :=a n ∂ n + ⋯ + a1∂ + a0 dot with n ∈ Z, n ≥ 0 and all a i ∈ k. These elements L are called differential operators.
Marius van der Put, Michael F. Singer
openaire   +1 more source

The analysis of linear partial differential operators

, 1990
L. Hörmander
semanticscholar   +1 more source

Interpolation Theory, Function Spaces, Differential Operators

, 1978
H. Triebel
semanticscholar   +1 more source

Differentiation of Operators

2003
This chapter is essentially a brief introduction to non-linear functional analysis. First, we define the Gâteaux and Frechet derivatives of generally non-linear operators between linear vector spaces and we investigate their properties in some considerable detail.
openaire   +1 more source