Results 181 to 190 of about 190,455 (220)

Holotype genome of the lesula provides insights into demography and evolution of a threatened primate lineage. [PDF]

Genome Biol
Jensen A, Horton ER, Koko MB, Detwiler KM, Guschanski K.   +4 more
europepmc   +1 more source

Picard iteration methods for a spherical atmosphere

Journal of Quantitative Spectroscopy and Radiative Transfer, 2009
Several methods for solving the radiative transfer equation in a spherical atmosphere are presented. These methods include the long characteristic Picard iteration, and the conventional and the accelerated short characteristic Picard iteration. Approximate methods as for instance the Picard iteration methods with open boundaries are also discussed. The
Doicu, Adrian, Trautmann, Thomas
exaly   +4 more sources

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Parallel Numerical Picard Iteration Methods

Journal of Scientific Computing, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +4 more sources

The Picard iteration and its application

Linear and Multilinear Algebra, 2006
The convergence behavior of the Picard iteration Xk+1=AXk+B and the weighted case Yk=Xk/bk is investigated. It is shown that the convergence of both these iterations is related to the so-called effective spectrum of A with respect to some matrix. As an application of our convergence results we discuss the convergence behavior of a sequence of scaled ...
Xuzhou Chen, Robert E Hartwig
exaly   +2 more sources

On the Region of Convergence of Picard's Iteration

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1972
AbstractA new convergence condition is described for Picard's iteration for the boundary value problem where f(t, y, z) is continuous and satisfies a Lipschitz‐condition in y and z. This convergence condition is optimal in a sense specified precisely in this paper.
openaire   +2 more sources

Picard iterations of boundary-layer equations

7th Computational Fluid Dynamics Conference, 1985
A method of solving the boundary-layer equations that arise in singular-perturbation analysis of flightpath optimization problems is presented. The method is based on Picard iterations of the integrated form of the equations and does not require iteration to find unknown boundary conditions.
M. ARDEMA, L. YANG
openaire   +1 more source

Chebyshev acceleration of picard-lindelöf iteration

BIT, 1992
This paper complements recent work by \textit{R.D. Skeel} [SIAM J. Sci. Stat. Comput. 10, No. 4, 756-776 (1989; Zbl 0687.65076) and \textit{O. Nevanlinna} [Numer. Math. 57, No. 2, 147-156 (1990; Zbl 0697.65058)] regarding the question as to whether a significant acceleration of waveform iteration (Picard-Lindelöf iteration) is possible.
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Polynomial acceleration of the Picard-Lindelof iteration

IMA Journal of Numerical Analysis, 1998
The effect of polynomial acceleration of the Picard-Lindelöf iteration formula is analyzed for a function \(x(t)\) on a bounded interval. The basic iteration formula for solution to \[ x'(t)+ Ax(t)= f(t),\quad x(0)= x_0,\quad t\in [0,T],\tag{i} \] is \[ x^n= Kx^{n-1}+ g,\quad n=1,2,\dots\quad Kx(t)= \int^t_0 e^{-M(t-s)}Nx(s)ds,\tag{ii} \] \[ g= e^{-Mt ...
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Picard Iteration, Chebyshev Polynomials and Chebyshev-Picard Methods: Application in Astrodynamics

The Journal of the Astronautical Sciences, 2013
This paper extends previous work on parallel-structured Modified Chebyshev Picard Iteration (MCPI) Methods. The MCPI approach iteratively refines path approximation of the state trajectory for smooth nonlinear dynamical systems and this paper shows that the approach is especially suitable for initial value problems of astrodynamics.
John L. Junkins, Ahmad Bani Younes, Robyn M. Woollands, Xiaoli Bai   +3 more
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Adaptive Underrelaxation of Picard Iterations in Ground Water Models

Groundwater, 2007
Abstract This methods note examines the use of adaptive underrelaxation of Picard iterations to accelerate the solution convergence for nonlinear ground water flow problems. Ground water problems are nonlinear when drains, phreatophytes, stream aquifer, and similar features are simulated.
Timothy, Durbin, David, Delemos
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