Results 21 to 30 of about 15,297,882 (275)

An hp-version discontinuous Galerkin method for integro-differential equations of parabolic type [PDF]

open access: yes, 2011
We study the numerical solution of a class of parabolic integro-differential equations with weakly singular kernels. We use an $hp$-version discontinuous Galerkin (DG) method for the discretization in time.
Brunner, Hermann   +3 more
core   +4 more sources

L2-estimates of error in homogenization of parabolic equations with correctors taken into account

open access: yesСовременная математика: Фундаментальные направления, 2023
We consider second-order parabolic equations with bounded measurable \(\varepsilon\)-periodic coefficients. To solve the Cauchy problem in the layer \( R^d \times(0,T) \) with the nonhomogeneous equation, we obtain approximations in the norm \(\|\cdot\|_{
S. E. Pastukhova
doaj   +1 more source

Inverse Problems for Parabolic Differential Equations from Control Theory

open access: yesBruno Pini Mathematical Analysis Seminar, 2015
We are concerned with some inverse problems related to parabolic first-order and second order linear differential equations in Hilbert spaces. All the results apply well to inverse problems for partial differential equations from mathematical physics and
Mohammed Al Horani, Angelo Favini
doaj   +1 more source

Mesh Refinements for Parabolic Equations of Second Order [PDF]

open access: yesMathematics of Computation, 1973
Given certain implicit difference approximations to u t
openaire   +1 more source

On the existence of classical solutions for differential-functional IBVP

open access: yesAbstract and Applied Analysis, 1998
We consider the initial-boundary value problem for second order differential-functional equations of parabolic type. Functional dependence in the equation is of the Hale type. By using Leray-Schauder theorem we prove the existence of classical solutions.
Krzysztof A. Topolski
doaj   +1 more source

On the continuity of solutions to advection-diffusion equations with slightly super-critical divergence-free drifts

open access: yesAdvances in Nonlinear Analysis, 2014
We address the regularity of solutions to elliptic and parabolic equations of the form -Δu+b·∇u=0${- \Delta u+b\cdot \nabla u=0}$ and ut-Δu+b·∇u=0${u_t- \Delta u+b\cdot \nabla u=0}$ with divergence-free drifts b.
Ignatova Mihaela
doaj   +1 more source

Mixed problem for a third order parabolic-hyperbolic model equation

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы
In 1978, the journal Differential Equations published an article by A.M. Nakhushev, that presented a method for correctly formulating a boundary value problem for a class of second-order parabolic-hyperbolic equations in an arbitrarily bounded domain ...
Zh.A. Balkizov
doaj   +1 more source

Maximal regular boundary value problems in Banach-valued function spaces and applications

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
The nonlocal boundary value problems for differential operator equations of second order with dependent coefficients are studied. The principal parts of the differential operators generated by these problems are non-selfadjoint.
Veli B. Shakhmurov
doaj   +1 more source

Finite element multistep multideriavative schemes for parabolic equations [PDF]

open access: yes, 1976
The linear, homogeneous, parabolic equation is solved by applying finite element discretizations in space and A0 —stable, linear multistep, multiderivative (L.M.S.D.) methods in time. Such schemes are unconditionally stable. An error analysis establishes
Moore, P
core   +6 more sources

Equivalence Between DFR Method and DG Method for Solving Parabolic Equation and Convection-diffusion Equation

open access: yesJournal of Harbin University of Science and Technology, 2022
The equivalence between direct flux reconstruction method and discontinuous Galerkin method for solving parabolic equation and convection-diffusion equation is studied.
BI Hui, LIU Lei
doaj   +1 more source

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