Results 11 to 20 of about 15,801 (247)
Applied Sciences, 2021 We investigated the derivation of numerical methods for solving partial differential equations, focusing on those that preserve physical properties of Hamiltonian systems.
Odysseas Kosmas +2 more
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On the use of exponential time integration methods in atmospheric models [PDF]
Tellus: Series A, Dynamic Meteorology and Oceanography, 2013 Exponential integration methods offer a highly accurate approach to the time integration of large systems of differential equations. In recent years, they have attracted increased attention in a number of diverse fields due to advances in their ...
Colm Clancy, Janusz A. Pudykiewicz
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Non-Standard Discrete RothC Models for Soil Carbon Dynamics
Axioms, 2021 Soil Organic Carbon (SOC) is one of the key indicators of land degradation. SOC positively affects soil functions with regard to habitats, biological diversity and soil fertility; therefore, a reduction in the SOC stock of soil results in degradation ...
Fasma Diele +2 more
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Exponential Multistep Methods for Stiff Delay Differential Equations
Axioms, 2022 Stiff delay differential equations are frequently utilized in practice, but their numerical simulations are difficult due to the complicated interaction between the stiff and delay terms.
Rui Zhan +3 more
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Journal of Mathematics, 2021 The coupled nonlinear Schrödinger equation is used in simulating the propagation of the optical soliton in a birefringent fiber. Hereditary properties and memory of various materials can be depicted more precisely using the temporal fractional ...
Xiao Liang, Bo Tang
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Leveraging collaborative research networks against antimicrobial resistance in Asia
Frontiers in Public Health, 2023 BackgroundAntimicrobial resistance (AMR) is a global health security threat requiring research collaboration globally and regionally. Despite repeated calls for international research collaboration in Asia, literature analyzing the nature of ...
Shiying He +4 more
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Meshfree Exponential Integrators
SIAM Journal on Scientific Computing, 2013 For the numerical solution of time-dependent partial differential equations, a class of meshfree exponential integrators is proposed. These methods are of particular interest in situations where the solution of the differential equation concentrates on a small part of the computational domain which may vary in time. For the space discretization, radial
CALIARI, Marco, OSTERMANN A., RAINER S.
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Randomized exponential integrators for modulated nonlinear Schr\"odinger equations [PDF]
, 2018 We consider the nonlinear Schr\"odinger equation with dispersion modulated by a (formal) derivative of a time-dependent function with fractional Sobolev regularity of class $W^{\alpha,2}$ for some $\alpha\in (0,1)$.
Hofmanová, Martina +2 more
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The Leja method revisited: backward error analysis for the matrix exponential [PDF]
, 2016 The Leja method is a polynomial interpolation procedure that can be used to compute matrix functions. In particular, computing the action of the matrix exponential on a given vector is a typical application.
Caliari, Marco +3 more
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Fast Nonlinear Fourier Transform Algorithms Using Higher Order Exponential Integrators
IEEE Access, 2019 The nonlinear Fourier transform (NFT) has recently gained significant attention in fiber optic communications and other engineering fields. Although several numerical algorithms for computing the NFT have been published, the design of highly accurate low-
Shrinivas Chimmalgi +2 more
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