Approximation of singularly perturbed parabolic equations in unbounded domains subject to piecewise smooth boundary conditions in the case of solutions that grow at infinity

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542509100091 ◽

2009 ◽

Vol 49 (10) ◽

pp. 1748-1764

Author(s):

G. I. Shishkin

Keyword(s):

Boundary Conditions ◽

Parabolic Equations ◽

Smooth Boundary ◽

Unbounded Domains ◽

Piecewise Smooth ◽

Singularly Perturbed ◽

Piecewise Smooth Boundary ◽

Singularly Perturbed Parabolic Equations

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The 3D Inverse Problem of the Wave Equation for a General Multi-connected Vibrating Membrane with a Finite Number of Piecewise Smooth Boundary Conditions

Acta Mathematica Sinica English Series ◽

10.1007/s10114-004-0514-0 ◽

2005 ◽

Vol 21 (4) ◽

pp. 733-752

Author(s):

E. M. E. Zayed

Keyword(s):

Inverse Problem ◽

Wave Equation ◽

Boundary Conditions ◽

Finite Number ◽

Smooth Boundary ◽

Piecewise Smooth ◽

Piecewise Smooth Boundary ◽

Vibrating Membrane

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Short-time Asymptotics of the Heat Kernel on Bounded Domain with Piecewise Smooth Boundary Conditions and Its Applications to an Ideal Gas

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-004-0162-2 ◽

2004 ◽

Vol 20 (2) ◽

Author(s):

E. M. E. Zayed

Keyword(s):

Boundary Conditions ◽

Heat Kernel ◽

Bounded Domain ◽

Smooth Boundary ◽

Ideal Gas ◽

Piecewise Smooth ◽

Piecewise Smooth Boundary ◽

Short Time Asymptotics ◽

Time Asymptotics ◽

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Constructive and formal difference schemes for singularly perturbed parabolic equations in unbounded domains in the case of solutions growing at infinity

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/rjnamm.2009.036 ◽

2009 ◽

Vol 24 (6) ◽

Author(s):

G. I. Shishkin

Keyword(s):

Parabolic Equations ◽

Unbounded Domains ◽

Difference Schemes ◽

Singularly Perturbed ◽

Singularly Perturbed Parabolic Equations

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On hearing the shape of the three-dimensional multi-connected vibrating membrane with piecewise smooth boundary conditions

Applicable Analysis ◽

10.1080/00036810108840957 ◽

2001 ◽

Vol 79 (1-2) ◽

pp. 187-216 ◽

Author(s):

E.M.E. Zayed

Keyword(s):

Boundary Conditions ◽

Smooth Boundary ◽

Three Dimensional ◽

Piecewise Smooth ◽

Piecewise Smooth Boundary ◽

Vibrating Membrane

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An inverse problem of the three-dimensional wave equation for a general annular vibrating membrane with piecewise smooth boundary conditions

Journal of Applied Mathematics and Computing ◽

10.1007/bf02936184 ◽

2003 ◽

Vol 12 (1-2) ◽

pp. 81-105 ◽

Author(s):

E. M. E. Zayed

Keyword(s):

Inverse Problem ◽

Wave Equation ◽

Boundary Conditions ◽

Smooth Boundary ◽

Three Dimensional ◽

Piecewise Smooth ◽

Piecewise Smooth Boundary ◽

Vibrating Membrane ◽

Dimensional Wave

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Grid approximation of singularly perturbed parabolic equations with piecewise continuous initial-boundary conditions

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543807060156 ◽

2007 ◽

Vol 259 (S2) ◽

pp. S213-S230 ◽

Author(s):

G. I. Shishkin

Keyword(s):

Boundary Conditions ◽

Parabolic Equations ◽

Initial Boundary ◽

Singularly Perturbed ◽

Grid Approximation ◽

Piecewise Continuous ◽

Singularly Perturbed Parabolic Equations

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Singularities of the solution of a mixed problem for second-order hyperbolic equations in domains with a piecewise smooth boundary

Russian Mathematical Surveys ◽

10.1070/rm1982v037n01abeh003215 ◽

1982 ◽

Vol 37 (1) ◽

pp. 168-169 ◽

Author(s):

I I Mel'nikov

Keyword(s):

Mixed Problem ◽

Smooth Boundary ◽

Hyperbolic Equations ◽

Second Order ◽

Piecewise Smooth ◽

Piecewise Smooth Boundary

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To Elliptic Theory for Domains with Piecewise Smooth Boundary in the Plane

Partial Differential and Integral Equations - International Society for Analysis, Applications and Computation ◽

10.1007/978-1-4613-3276-3_11 ◽

1999 ◽

pp. 177-186 ◽

Author(s):

Alexandre P. Soldatov

Keyword(s):

Smooth Boundary ◽

Piecewise Smooth ◽

Piecewise Smooth Boundary ◽

Elliptic Theory

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Multiple layer potentials for the quadrant and their application to the Dirichlet problem in plane domains with a piecewise smooth boundary

Banach Center Publications ◽

10.4064/-10-1-7-26 ◽

1983 ◽

Vol 10 (1) ◽

pp. 7-26

Author(s):

Günter Albinus

Keyword(s):

Dirichlet Problem ◽

Smooth Boundary ◽

Piecewise Smooth ◽

Piecewise Smooth Boundary ◽

Layer Potentials ◽

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Analytic-Numerical Approach to Solving Singularly Perturbed Parabolic Equations with the Use of Dynamic Adapted Meshes

Modeling and Analysis of Information Systems ◽

10.18255/1818-1015-2016-3-334-341 ◽

2016 ◽

Vol 23 (3) ◽

pp. 334-341 ◽

Author(s):

D. V. Lukyanenko ◽

V. T. Volkov ◽

N. N. Nefedov ◽

L. Recke ◽

K. Schneider

Keyword(s):

Parabolic Equations ◽

Numerical Approach ◽

Singularly Perturbed ◽

Singularly Perturbed Parabolic Equations

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