Results 181 to 190 of about 770,509 (245)

Gaussian Quadrature Applied to Adaptive Chebyshev Iteration

, 1994
Chebyshev iteration has been a popular iterative scheme for the solution of large linear systems of equations with a symmetric positive definite matrix A. With the advent of parallel processors, there has been a resurgence of interest in this method. In Chebyshev iteration one determines iteration parameters so that the residual polynomials axe scaled ...
D. Calvetti, G. Golub, L. Reichel
semanticscholar   +2 more sources

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.
J. Junkins, Ahmad Bani Younes, R. Woollands, X. Bai   +3 more
semanticscholar   +2 more sources

Chebyshev-Picard iteration methods for solving delay differential equations

Mathematics and Computers in Simulation, 2023
Quan Zhou, Yinkun Wang, Yicheng Liu
semanticscholar   +3 more sources

Nonlinear Differential Equation Solvers via Adaptive Picard–Chebyshev Iteration: Applications in Astrodynamics

Journal of Guidance Control and Dynamics, 2019
An adaptive self-tuning Picard–Chebyshev numerical integration method is presented for solving initial and boundary value problems by considering high-fidelity perturbed two-body dynamics.
R. Woollands, J. Junkins
semanticscholar   +1 more source

An Adaptive Chebyshev Iterative Method

Mathematical Models and Computer Simulations, 2018
The authors construct an adaptive iterative method of Chebyshev type in order to solve large systems of linear algebraic equations. These systems appear by applying some multigrid methods to 3D linear and self-adjoint elliptic boundary value problems. The algebraic systems inherit the properties of the problems.
Zhukov, V. T., Novikova, N. D., Feodoritova, O. B.   +2 more
openaire   +2 more sources

Parallel-Structured Newton-Type Guidance by Using Modified Chebyshev–Picard Iteration

, 2020
This paper presents a parallel-structured Newton-type guidance law for the missile guidance problems.
Yangyang Ma, Binfeng Pan
semanticscholar   +1 more source

Generalized Chebyshev Function of Arbitrary Order With Real-Frequency Zero Pairs in an Explicit Rational Polynomial Expression

Asia-Pacific Microwave Conference, 2023
Generalized Chebyshev functions of an arbitrary order with up to three real-frequency zero pairs are derived in an explicit rational polynomial expression.
Jen-Tsai Kuo, Chun-Chin Wang, Chun-Hung Lin, Philip A. Williams   +3 more
semanticscholar   +1 more source

Ab initio electronic structure calculations using a real-space Chebyshev-filtered subspace iteration method

Journal of Physics: Condensed Matter, 2019
Ab initio electronic structure calculations within Kohn–Sham density functional theory requires a solution for the Kohn–Sham equation. However, the traditional self-consistent field (SCF) approach of solving the equation using iterative diagonalization ...
Qiang Xu, Sheng Wang, Lantian Xue, Xuecheng Shao, P. Gao, Jian Lv, Yanchao Wang, Yanming Ma   +7 more
semanticscholar   +1 more source

Generalized-Newton-Iteration-Based MPSP Method for Terminal Constrained Guidance

IEEE Transactions on Aerospace and Electronic Systems, 2023
This article presents a generalized-Newton-iteration-based model-predictive static programming (MPSP) algorithm for the terminal constrained guidance problems.
Cong Zhou, Xiaodong Yan, Huanheng Ban, Shuo Tang   +3 more
semanticscholar   +1 more source