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FAIR foundations of a novel indicator vault for non-communicable diseases in the European Union: feasibility study for effective contextualisation of indicators. [PDF]
Front Digit HealthŠtotl I +9 more
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Near-field-free super-potential FFT method for the three-dimensional free-space Poisson equation
Exl L, Schaffer S.
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ELLIPTIC EQUATIONS IN UNBOUNDED DOMAINS
Mathematics of the USSR-Sbornik, 1971A linear differential operator in of elliptic type, with varying coefficients, is considered along with a boundary value problem for such an operator in the exterior of a bounded region. Certain conditions on the symbol of the operator are assumed, the formulation of which involves lower-order terms.
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A Spectral Method for Unbounded Domains
Journal of Computational Physics, 1997The spectral method for an unbounded domain is developed and presented. For the expansion in the radial direction of polar coordinates \((r,\varphi)\) or \((r, \varphi, z)\) rational basis functions which are algebraically mapped Legendre functions are used.
Matsushima, T., Marcus, P. S.
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Approximating Unbounded Domains
2016This chapter provides the construction and approximation of two approaches for the treatment of unbounded domains: first by absorbing boundary conditions (ABC), then by perfectly matched layers (PML) for the three wave equations.
Gary Cohen, Sébastien Pernet
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Elliptic Problems on Unbounded Domains
SIAM Journal on Mathematical Analysis, 1986Boundary value problems for elliptic equations of the form \(\sum_{| \alpha |,| \beta | \leq k}(-1)^{| \alpha |}D^{\alpha}(a_{\alpha \beta}D_ u^{\beta})=f\) on unbounded domains \(\Omega \subset {\mathbb{R}}^ n\) are studied. Using weighted Sobolev spaces, variants of the Poincaré and Friedrichs inequalities, and compact embeddings in weighted Sobolev ...
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Adaptive Wavelet Methods on Unbounded Domains
Journal of Scientific Computing, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kestler, Sebastian, Urban, Karsten
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Global Optimization over Unbounded Domains
SIAM Journal on Control and Optimization, 1990Almost all methods for solving the global optimization problem need the assumption that a parallelepiped containing the solution points is known. The boundedness is necessary both for the numerical computation as well as for guaranteeing the convergence properties.
H. Ratschek, R. L. Voller
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2002
Although the physical world is finite, from a mathematical point of view, very large domains must often be modeled as infinite ones. This is particularly true for waves which can be propagated on distances which correspond to several hundreds or even several thousands of wavelengths.
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Although the physical world is finite, from a mathematical point of view, very large domains must often be modeled as infinite ones. This is particularly true for waves which can be propagated on distances which correspond to several hundreds or even several thousands of wavelengths.
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