Results 11 to 20 of about 115,905,066 (220)

Optimal control of stochastic partial differential equations in Banach spaces [PDF]

open access: yes, 2010
In this thesis we study optimal control problems in Banach spaces for stochastic partial differential equations. We investigate two different approaches.
Serrano Perdomo, Rafael Antonio
core   +7 more sources

Global extrapolation procedures for linear partial differential equations [PDF]

open access: yes, 1987
Global extrapolation procedures, in space and time are considered for the numerical Solution of linear partial differential equations. Global extrapolation procedures in time only are reviewed.
Twizell, E H
core   +6 more sources

Parallel unstructured solvers for linear partial differential equations [PDF]

open access: yes, 2006
This thesis presents the development of a parallel algorithm to solve symmetric systems of linear equations and the computational implementation of a parallel partial differential equations solver for unstructured meshes.
Becker, Dulcenéia
core   +7 more sources

Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps [PDF]

open access: yes, 2013
Coarse spaces are instrumental in obtaining scalability for domain decomposition methods for partial differential equations (PDEs). However, it is known that most popular choices of coarse spaces perform rather weakly in the presence of heterogeneities ...
Hauret, P.   +12 more
core   +4 more sources

Abstract Cauchy problems for second order linear differential equations in a Banach space

open access: yesHiroshima Mathematical Journal, 1987
Let A be a closed linear operator in a Banach space X and let Y be a linear manifold of X. Assume that (a) Y is a normed space under a certain norm \(\|| \cdot \||\) which is stronger than the original norm \(\| \cdot \|\) of X; (b) there is \(\omega \geq 0\) such that for each \(\lambda >\omega\), the range \(R(\lambda^ 2-A)\) contains Y, \(R(\lambda^
Takenaka, Tosiharu, Okazawa, Noboru
openaire   +2 more sources

Fundamental solutions for semidiscrete evolution equations via Banach algebras

open access: yesAdvances in Difference Equations, 2021
We give representations for solutions of time-fractional differential equations that involve operators on Lebesgue spaces of sequences defined by discrete convolutions involving kernels through the discrete Fourier transform.
Jorge González-Camus   +2 more
doaj   +1 more source

A class of abstract quasi-linear evolution equations of second order [PDF]

open access: yes, 1999
In this paper we study the abstract quasi-linear evolution equation of second order formula here in a general banach space z. it is well-known that the abstract quasi-linear theory due to kato [10, 11] is widely applicable to quasi-linear partial ...
NAOKI TANAKA, Tanaka, Naoki
core   +1 more source

On the Behaviour of Singular Semigroups in Intermediate and Interpolation Spaces and Its Applications to Maximal Regularity for Degenerate Integro-Differential Evolution Equations

open access: yesAbstract and Applied Analysis, 2013
For those semigroups, which may have power type singularities and whose generators are abstract multivalued linear operators, we characterize the behaviour with respect to a certain set of intermediate and interpolation spaces.
Alberto Favaron, Angelo Favini
doaj   +1 more source

Solvability and completeness of solutions of parabolic differential-operator equations [PDF]

open access: yesМатематичні Студії, 2011
We consider an abstract Cauchy problem for parabolic differential-operator equations in Hilbert spaces. Initial boundary value problems for parabolic equations are reduced to the Cauchy problem for a system of parabolic differential equations.
M. M. Mamedov
doaj  

Reconstructing gene regulatory networks of biological function using differential equations of multilayer perceptrons

open access: yesBMC Bioinformatics, 2022
Background Building biological networks with a certain function is a challenge in systems biology. For the functionality of small (less than ten nodes) biological networks, most methods are implemented by exhausting all possible network topological ...
Guo Mao   +5 more
doaj   +1 more source

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