Results 11 to 20 of about 197,284 (286)
Pseudo-differential Equations with Spherical Splines
, 2021 The aim of this chapter is to report on the design of additive Schwarz methods when spherical splines are used to solve the hypersingular integral equation on the sphere. On this geometry, this equation belongs to a wider class of the so-called pseudo-differential equations on the sphere.
Stephan, EP, Tran, T
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Quantization of pseudo-differential operators on the torus [PDF]
, 2008 Pseudo-differential and Fourier series operators on the n-torus are analyzed by using global representations by Fourier series instead of local representations in coordinate charts.
Ruzhansky, Michael, Turunen, Ville
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Geodesics on the Momentum Phase Space with metric $^{{C}}{g}$
Universal Journal of Mathematics and Applications, 2018 In this paper, a system of the differential equations giving geodesics on the momentum phase space with pseudo Riemann metric $^{C}g$ of a Hamilton space is found by using the Euler Lagrange equations.
İsmet Ayhan
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Nonautonomous Dynamical Systems, 2020 The aim of this work is to give sufficient conditions ensuring that the space PAP(, X, µ) of µ-pseudo almost periodic functions and the space PAA(, X, µ) of µ-pseudo almost automorphic functions are invariant by the convolution product f = k * f, k ...
Béssémè Fritz Mbounja +4 more
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On local solvability of pseudo-differential equations [PDF]
Proceedings of the American Mathematical Society, 1974 A sufficient condition for the local solvability of the equation u,-A(x, t, D,)u=f(x, t) is proved, where A is a first order pseudo-differential operator with real symbol. This is a special case of the local solvability conjecture of Nirenberg and Treves. Introduction.
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Pseudo-differential Equations with Radial Basis Functions
, 2021 In this chapter we consider again pseudo-differential equations on the sphere. However, the chapter is diverted from the main theme of other chapters in that boundary elements are not the tool used to solve the equations. Instead, we use radial basis functions (RBFs) which results in a meshless method.
Stephan, EP, Tran, T
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Results in Physics, 2022 This paper will present a highly efficient technique for solving linear and nonlinear differential equations. We will use the second derivative of Legendre polynomials as new base functions via a pseudo-Galerkin method. These base functions produce a new
M. Abdelhakem +3 more
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Frames of solutions and discrete analysis of pseudo‐differential equations
Mathematical Methods in the Applied Sciences, 2022 We construct discrete analogs of multidimensional singular integral operators and study their invertibility. Moreover, we give a comparison between continual and discrete case. We give the theory of periodic Riemann problem also, because it is needed for studying invertibility of so‐called paired equations.
Alexander V. Vasilyev +2 more
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A New Hybrid Method Based on Pseudo Differential Operators and Haar Wavelet to Solve ODEs [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2018 In this paper we present a new and efficient method by combining pseudo differential operators and Haar wavelet to solve the linear and nonlinear differential equations. The present method performs extremely well in terms of efficiency and simplicity.
M.B. Ghaemi +2 more
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Killing spinor-valued forms and the cone construction [PDF]
, 2016 On a pseudo-Riemannian manifold $\mathcal{M}$ we introduce a system of partial differential Killing type equations for spinor-valued differential forms, and study their basic properties.
Somberg, Petr, Zima, Petr
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