A Boundary Element Method for a Two-Dimensional Interface Problem in Electromagnetics.
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A characteristic initial value problem for a strictly hyperbolic system.
Iraniparast, Nezam (2004)
International Journal of Mathematics and Mathematical Sciences
A decomposition method for a semilinear boundary value problem with a quadratic nonlinearity.
Gordon, Michael S. (2005)
International Journal of Mathematics and Mathematical Sciences
A decomposition theorem for solutions of parabolic equations.
Watson, N.A. (2000)
Annales Academiae Scientiarum Fennicae. Mathematica
A general perturbation formula for electromagnetic fields in presence of low volume scatterers
Roland Griesmaier (2011)
ESAIM: Mathematical Modelling and Numerical Analysis
In several practically interesting applications of electromagnetic scattering theory like, e.g., scattering from small point-like objects such as buried artifacts or small inclusions in non-destructive testing, scattering from thin curve-like objects such as wires or tubes, or scattering from thin sheet-like objects such as cracks, the volume of the scatterers is small relative to the volume of the surrounding medium and with respect to the wave length of the applied electromagnetic fields. This...
A general perturbation formula for electromagnetic fields in presence of low volume scatterers
Roland Griesmaier (2011)
ESAIM: Mathematical Modelling and Numerical Analysis
In several practically interesting applications of electromagnetic scattering theory like, e.g., scattering from small point-like objects such as buried artifacts or small inclusions in non-destructive testing, scattering from thin curve-like objects such as wires or tubes, or scattering from thin sheet-like objects such as cracks, the volume of the scatterers is small relative to the volume of the surrounding medium and with respect to the wave length of the applied electromagnetic fields. This...
A mixed boundary value problem for the Laplace equation in an angle (1st part)
Alfredo Lorenzi (1975)
Rendiconti del Seminario Matematico della Università di Padova
A new technique in constructing closed-form solutions for nonlinear PDEs appearing in fluid mechanics and gas dynamics.
Panayotounakos, D.E. (1996)
Mathematical Problems in Engineering
A nonexistence test for biharmonic Green's functions of clamped bodies.
Mitsuru Nakai, Leo Sario (1977)
Mathematica Scandinavica
A nonlocal problem for fourth order hyperbolic equations with multiple characteristics.
Midodashvili, Bidzina (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
A note on asymptotic expansion for a periodic boundary condition
Ján Filo (1998)
Archivum Mathematicum
The aim of this contribution is to present a new result concerning asymptotic expansion of solutions of the heat equation with periodic Dirichlet–Neuman boundary conditions with the period going to zero in D.
A note on Chebyshev series solution of the Crank-Gupta equation.
Dal, F. (2001)
Southwest Journal of Pure and Applied Mathematics [electronic only]
A note on poroacoustic traveling waves under Darcy's law: Exact solutions
P. M. Jordan, J. K. Fulford (2011)
Applications of Mathematics
A mathematical analysis of poroacoustic traveling wave phenomena is presented. Assuming that the fluid phase satisfies the perfect gas law and that the drag offered by the porous matrix is described by Darcy's law, exact traveling wave solutions (TWS)s, as well as asymptotic/approximate expressions, are derived and examined. In particular, stability issues are addressed, shock and acceleration waves are shown to arise, and special/limiting cases are noted. Lastly, connections to other fields are...
A note on -partial difference equations and some applications to generating functions and -integrals
Da-Wei Niu, Jian Cao (2019)
Czechoslovak Mathematical Journal
We study the condition on expanding an analytic several variables function in terms of products of the homogeneous generalized Al-Salam-Carlitz polynomials. As applications, we deduce bilinear generating functions for the homogeneous generalized Al-Salam-Carlitz polynomials. We also gain multilinear generating functions for the homogeneous generalized Al-Salam-Carlitz polynomials. Moreover, we obtain generalizations of Andrews-Askey integrals and Ramanujan -beta integrals. At last, we derive ...
A note on surfaces with radially symmetric nonpositive Gaussian curvature
Joseph Shomberg (2005)
Mathematica Bohemica
It is easily seen that the graphs of harmonic conjugate functions (the real and imaginary parts of a holomorphic function) have the same nonpositive Gaussian curvature. The converse to this statement is not as simple. Given two graphs with the same nonpositive Gaussian curvature, when can we conclude that the functions generating their graphs are harmonic? In this paper, we show that given a graph with radially symmetric nonpositive Gaussian curvature in a certain form, there are (up to) four families...
A note to the Fourier method of solving partial second-order differential equations
Jaroslav Hančl (1988)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
A note to the Laplace transformation
Jaroslav Hančl (1988)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
A perturbation problem with two small parameters in the framework of the heat conduction of a fiber reinforced body
D. Caillerie, B. Dinari (1987)
Banach Center Publications
A Picard-Maclaurin theorem for initial value PDEs.
Parker, G.Edgar, Sochacki, James S. (2000)
Abstract and Applied Analysis
A probabilistic representation for the solutions to some non-linear PDEs using pruned branching trees
D. Blömker, M. Romito, R. Tribe (2007)
Annales de l'I.H.P. Probabilités et statistiques
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