The non-iterative transformation method [PDF]
International Journal of Non-Linear Mechanics, 2019 The Blasius flow is the idealized flow of a viscous fluid past an infinitesimally thick, semi-infinite flat plate. The definition of a non-iterative transformation method for the celebrated Blasius problem is due to T{ö}pfer and dates more than a century ago.
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Third-order iterative methods with applications to Hammerstein equations: A unified approach [PDF]
, 2011 The geometrical interpretation of a family of higher order iterative methods for solving nonlinear scalar equations was presented in [S. Amat, S. Busquier, J.M. Gutiérrez, Geometric constructions of iterative functions to solve nonlinear equations.
S. Amat +8 more
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Iterative thresholding for sparse approximations [PDF]
, 2008 Sparse signal expansions represent or approximate a signal using a small number of elements from a large collection of elementary waveforms. Finding the optimal sparse expansion is known to be NP hard in general and non-optimal strategies such as ...
Blumensath, T. +3 more
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A q-Gradient Descent Algorithm with Quasi-Fejér Convergence for Unconstrained Optimization Problems
Fractal and Fractional, 2021 We present an algorithm for solving unconstrained optimization problems based on the q-gradient vector. The main idea used in the algorithm construction is the approximation of the classical gradient by a q-gradient vector.
Shashi Kant Mishra +5 more
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New SOR-like methods for solving the Sylvester equation
Open Mathematics, 2014 We present new iterative methods for solving the Sylvester equation belonging to the class of SOR-like methods, based on the SOR (Successive Over-Relaxation) method for solving linear systems.
Kierzkowski Jakub
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Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis.
Optics Express, 2001 We describe a fully-vectorial, three-dimensional algorithm to compute the definite-frequency eigenstates of Maxwell's equations in arbitrary periodic dielectric structures, including systems with anisotropy (birefringence) or magnetic materials, using ...
Steven G. Johnson, J. Joannopoulos
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IR Tools: a MATLAB package of iterative regularization methods and large-scale test problems [PDF]
Numerical Algorithms, 2017 This paper describes a new MATLAB software package of iterative regularization methods and test problems for large-scale linear inverse problems. The software package, called IR TOOLS, serves two related purposes: we provide implementations of a range of
Silvia Gazzola, P. Hansen, J. Nagy
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Unambiguous range extension for pulse‐Doppler radar via Poisson disk sampling
IET Radar, Sonar & Navigation, 2021 Since the maximum unambiguous range in the traditional single‐channel pulse‐Doppler (PD) radar is restricted by the pulse repetition interval (PRI), there is a trade‐off between the maximum unambiguous range and the maximum unambiguous velocity.
Boyuan Dong +3 more
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On the convergence of adaptive iterative linearized Galerkin methods [PDF]
, 2020 A wide variety of different (fixed-point) iterative methods for the solution of nonlinear equations exists. In this work we will revisit a unified iteration scheme in Hilbert spaces from our previous work [16] that covers some prominent procedures ...
Wihler, Thomas P., Heid, Pascal
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An approach of extrapolation methods for the solution of nonlinear Volterra–Fredholm integral equations of the second kind [PDF]
Iranian Journal of Numerical Analysis and OptimizationThis study presents the process of using extrapolation methods to solve the nonlinear Volterra–Fredholm integral equations of the second kind. To do this, by approximating the integral terms contained in equations by a quadrature rule, the nonlinear ...
H. Safdari +2 more
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