Results 31 to 40 of about 2,673,893 (279)
An alternating direction explicit method for time evolution equations with applications to fractional differential equations [PDF]
Methods and Applications of Analysis, 2019 We derive and analyze the alternating direction explicit (ADE) method for time evolution equations with the time-dependent Dirichlet boundary condition and with the zero Neumann boundary condition. The original ADE method is an additive operator splitting (AOS) method, which has been developed for treating a wide range of linear and nonlinear time ...
Liu, Hao, Leung, Shing Yu
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A Fast Direct Solver for a Class of Elliptic Partial Differential Equations [PDF]
Journal of Scientific Computing, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Growth estimates for analytic functions in the unit polydisc with bounded $L$-index in direction
Математичні СтудіїThis paper investigates the growth properties of analytic functions defined in the unit polydisc of $\mathbb{C}^n$ having bounded $L$-index in a direction.
A. I. Bandura, Ya. V. Batsala
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Heliyon, 2023 This study aims at investigating the numerical analysis of pollutant transport in homogeneous porous media with solid plate stacks. The investigation was performed for solid/impervious objects of the same size placed in homogeneous porous media.
Komal Mehmood +2 more
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Directional differentiability of the rotation number for the almost-periodic Schrödinger equation
Duke Mathematical Journal, 1992 Given the one-dimensional Schrödinger equation \(L_ E(x)\equiv- x''+g_ 0(t)x-Ex=0\), where \(g_ 0\) is an almost periodic potential, and \(A\) the set of energies for which the Lyapunov exponent vanishes, the paper deals with the variation of the rotation number on \(A\) and, in particular, with the differentiability and Lipschitz character of this map.
Obaya, Rafael, Paramio, Miguel
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e-Journal of Nondestructive TestingX-ray phase CT has a lot of applications, including non-destructive testing and field of medicine because it can observe small differences in material density than conventional X-ray absorption CT.
Wataru Yamamoto +2 more
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Artificial molecular machines and motors—Design and control of nanoscale motion
FEBS Letters, EarlyView.Molecules are constantly moving because of thermal fluctuations, but random motion alone cannot be exploited to perform directional tasks. Artificial molecular machines use chemical, electrical, or light energy to bias this motion. Molecular shuttles, rotary motors, and supramolecular pumps illustrate how nanoscale movement can be controlled and ...
Leonardo Andreoni, Alberto Credi
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Spectra and leading directions for differential-algebraic equations
Technical report 14-2011 of Institut fxfcr Mathematik, 2011 The state of the art in the spectral theory of linear time-varying differential-algebraic equations (DAEs) is surveyed. To characterize the asymptotic behavior and the growth rate of solutions, basic spectral notions such as Lyapunov- and Bohl exponents, and Sacker-Sell spectra are discussed.
V.H. Linh, V. Mehrmann
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Direct application of Padé approximant for solving nonlinear differential equations [PDF]
SpringerPlus, 2014 This work presents a direct procedure to apply Padé method to find approximate solutions for nonlinear differential equations. Moreover, we present some cases study showing the strength of the method to generate highly accurate rational approximate solutions compared to other semi-analytical methods. The type of tested nonlinear equations are: a highly
Vazquez-Leal, Hector +8 more
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Membrane composition and thermodynamic identity as boundaries of life for synthetic cell research
FEBS Letters, EarlyView.What makes a cell a cell? The boundary of a living cell is not just a wall. Read as a Markov blanket, the membrane separates internal from external states, generating identity and non‐equilibrium order. Can this identity be rebuilt from scratch in a synthetic cell?
Caterina Presutti, Bert Poolman
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