Results 11 to 20 of about 2,300,828 (212)
Intracardiac Inverse Potential Mapping Using the Method of Fundamental Solutions [PDF]
Frontiers in Physiology, 2022 Introduction: Atrial fibrillation (AF) is the most prevalent cardiac dysrhythmia and percutaneous catheter ablation is widely used to treat it. Panoramic mapping with multi-electrode catheters can identify ablation targets in persistent AF, but is ...
Shu Meng +16 more
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Fundamental solutions for semidiscrete evolution equations via Banach algebras [PDF]
Advances in Difference Equations, 2021 We give representations for solutions of time-fractional differential equations that involve operators on Lebesgue spaces of sequences defined by discrete convolutions involving kernels through the discrete Fourier transform.
Jorge González-Camus +2 more
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Fundamental Solutions to Some Pell Equations
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2013 Let a,b and n are positive integers. In this paper, we find continued fraction expansion of ;#8730;d when d=a^2 b^2+2b, a^2 b^2+b,a^2±2,a^2±a. We will use continued fraction expansion of ;#8730;d in order to get the fundamental solutions to the equations
Merve Güney, Refik Keskin
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Determination of Cerro Blanco volcano deformation field using method of fundamental solutions [PDF]
Geomatics, Natural Hazards & Risk, 2017 According to geodetic research works, surface deformation in the form of uplift or subsidence in volcanic areas is either a sign of magma moving towards the opening of the volcano (inflation) or removal of the magma source (deflation).
Maryam Yazdanparast +2 more
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Геодинамика и тектонофизика, 2019 The article presents accurate solutions for the problem for two elastic half‐spaces with an arbitrary curvilinear interface. Our study shows that dilatation solutions (Poisson integrals) are dependent on neither an overall compression modulus nor the ...
B. P. Sibiryakov, E. A. Khogoev
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On fundamental matrix solutions [PDF]
Proceedings of the American Mathematical Society, 1954 (1) l[y] -y'A(x)y = 0, s[y] My(a) + Ny(b) = 0, can be represented in terms of the Green's matrix of the system, or in terms of a special generalized Green's matrix in case the system (1) is compatible. For the system (1), A (x) is an n Xn matrix of complex-valued continuous functions of the real variable x on the finite interval a
openaire +2 more sources
On the fundamental solutions-based inversion of Laplace matrices
Results in Applied Mathematics, 2022 The discretisation of the Laplacian results into the well-known Laplace matrix. In the case of a one dimensional problem, an explicit formula for its inverse is derived on the basis of fundamental solutions (Green’s functions) for general boundary ...
F.J. Vermolen, D.R. den Bakker, C. Vuik
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Destructiveness of pyroclastic surges controlled by turbulent fluctuations
Nature Communications, 2021 The hazards of pyroclastic surges remain poorly mitigated globally. Here, the authors show that their destructiveness is amplified by turbulent excursions of dynamic pressure energy that focusses inside the largest eddies and internal gravity waves.
Ermanno Brosch +7 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2017 We present and prove a new generalisation of the Malgrange–Ehrenpreis theorem to fractional partial differential equations, which can be used to construct fundamental solutions to all partial differential operators of rational order and many of arbitrary
Dumitru Baleanu, Arran Fernandez
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BPS and non-BPS Domain Walls in Supersymmetric QCD with SU(3) Gauge Group [PDF]
, 1998 We study the spectrum of the domain walls interpolating between different chirally asymmetric vacua in supersymmetric QCD with the SU(3) gauge group and including 2 pairs of chiral matter multiplets in fundamental and anti-fundamental representations ...
A.I. Veselov +6 more
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