Results 21 to 30 of about 15,297,882 (275)
An hp-version discontinuous Galerkin method for integro-differential equations of parabolic type [PDF]
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
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
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
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Mesh Refinements for Parabolic Equations of Second Order [PDF]
Given certain implicit difference approximations to u t
openaire +1 more source
On the existence of classical solutions for differential-functional IBVP
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
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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
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Mixed problem for a third order parabolic-hyperbolic model equation
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
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Maximal regular boundary value problems in Banach-valued function spaces and applications
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
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Finite element multistep multideriavative schemes for parabolic equations [PDF]
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
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
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