A first order system least squares method for the Helmholtz equation [PDF]
, 2015 We present a first order system least squares (FOSLS) method for the Helmholtz equation at high wave number k, which always deduces Hermitian positive definite algebraic system.
Chen, Huangxin, Qiu, Weifeng
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Matrix methods for radial Schr\"{o}dinger eigenproblems defined on a semi-infinite domain
, 2013 In this paper, we discuss numerical approximation of the eigenvalues of the one-dimensional radial Schr\"{o}dinger equation posed on a semi-infinite interval.
Aceto, Lidia +2 more
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Some implications of a new definition of the exponential function on time scales
, 2010 We present a new approach to exponential functions on time scales and to timescale analogues of ordinary differential equations. We describe in detail the Cayley-exponential function and associated trigonometric and hyperbolic functions. We show that the
Cieśliński, Jan L.
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Solving 2^{nd} order parabolic system by simulations of Markov jump processes [PDF]
, 1999 There are known methods of approximating the solution of parabolic 2^{nd} order systems by solving stochastic differential equations instead. The main idea is based on the fact that a stochastic differential equation defines a diffusion process ...
M. Rogina, N. Limić
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Exponentially fitted numerical method for solving singularly perturbed delay reaction-diffusion problem with nonlocal boundary condition. [PDF]
BMC Res Notes, 2023 Wondimu GM +3 more
europepmc +1 more source
A novel stochastic ten non-polynomial cubic splines method for heat equations with noise term
Partial Differential Equations in Applied MathematicsIn this paper, a new numerical method for solving a class of stochastic partial differential equations is presented. The proposed method is based on a non-polynomial cubic spline algorithm with an O(h4) local truncation error.
Aisha F. Fareed +2 more
doaj
Model the transmission dynamics of COVID-19 propagation with public health intervention. [PDF]
Results Appl Math, 2020 Mamo DK.
europepmc +2 more sources
New definitions of exponential, hyperbolic and trigonometric functions on time scales
, 2010 We propose two new definitions of the exponential function on time scales. The first definition is based on the Cayley transformation while the second one is a natural extension of exact discretizations.
Cieslinski, Jan L.
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On the exact discretization of the classical harmonic oscillator equation
, 2009 We discuss the exact discretization of the classical harmonic oscillator equation (including the inhomogeneous case and multidimensional generalizations) with a special stress on the energy integral.
Cieslinski, Jan L.
core
F-actin bending facilitates net actomyosin contraction By inhibiting expansion with plus-end-located myosin motors. [PDF]
J Math Biol, 2022 Tam AKY, Mogilner A, Oelz DB.
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