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Optimizing Finite-Difference Operator in Seismic Wave Numerical Modeling
Algorithms, 2022 The finite-difference method is widely used in seismic wave numerical simulation, imaging, and waveform inversion. In the finite-difference method, the finite difference operator is used to replace the differential operator approximately, which can be ...
Hui Li +4 more
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Quantum mechanics with difference operators [PDF]
Reports on Mathematical Physics, 2002 19 pages, LaTeX, using packages: pictex, amssymb; v.2: small corrections, to appear in Rep.
Dobrev, V. K. +2 more
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A Comparison Result for the Nabla Fractional Difference Operator
Foundations, 2023 This article establishes a comparison principle for the nabla fractional difference operator ∇ρ(a)ν ...
Jagan Mohan Jonnalagadda
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Computability and the Symmetric Difference Operator
Logic Journal of the IGPL, 2021 Abstract Combinatorial operations on sets are almost never well defined on Turing degrees, a fact so obvious that counterexamples are worth exhibiting. The case we focus on is the symmetric-difference operator; there are pairs of (nonzero) degrees for which the symmetric-difference operation is well defined.
Uri Andrews +4 more
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Open Mathematics, 2023 Let ff be a transcendental entire function of finite order with a Picard exceptional value β∈C\beta \in {\mathbb{C}}, q∈C\{0,1}q\in {\mathbb{C}}\setminus \left\{0,1\right\} and cc are complex constants. The authors prove that Dq,cf(z)−af(z)−a=aa−β,\frac{{
Zhang Xiaomei, Wu Zhaojun
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On the difference between the ‘In’ and ‘According to’ operators
Linguistics and Philosophy, 2023 Semanticists and philosophers of fiction that formulate analyses of reports on the content of media—or ‘contensive statements’—of the form ‘In/According to s, p’, usually treat the ‘In s’-operator (In) and the ‘According to s’-operator (Acc) on a par.
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Resonances for Difference Operators
Journal of Mathematical Analysis and Applications, 1995 The author shows the existence of resonances for the difference operators \(H\) on \(\ell^2(\mathbb{Z})\), defined by \(D^* D+ V\), where \(D: \varphi(n)\mapsto \varphi(n+ 1)- \varphi(n)\), \(D^*: \varphi(n)\mapsto \varphi(n)- \varphi(n- 1)\), and barrier potential \(V\), multiplication by a real-valued function on \(\mathbb{Z}\), \(\text{supp } V ...
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Chaotic finite difference operators
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2023 In this article, we analyze the chaotic behavior of finite difference operators associated with certain differential equations. Our examples range from numerical schemes for a birth-and-death model with proliferation to a class of second-order partial differential equations that includes the hyperbolic heat transfer equation, the telegraph equation ...
Marina Murillo-Arcila +2 more
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Spectral analysis of second order quantum difference operator over the sequence space lp (1 < p < ∞)
Қарағанды университетінің хабаршысы. Математика сериясыIn this article, we study the spectrum, fine spectrum and boundedness property of second order quantum difference operator ∆2q (0 < q < 1) over the class of sequence lp (1 < p < ∞), the pth summable sequence space.
N. Kalita, A.J. Dutta
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Symmetrizable finite difference operators [PDF]
Mathematics of Computation, 1990 We introduce the notion of a symmetrizable finite difference operator and prove that such operators are stable. We then present some sufficient conditions for symmetrizability. One of these extends H.-O. Kreiss’ theorem on dissipative difference schemes for hyperbolic equations to a more general case with full (
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