Results 11 to 20 of about 2,871 (179)
Approximate solution of the system of nonlinear integral equation by Newton–Kantorovich method [PDF]
Applied Mathematics and Computation, 2010 The Newton–Kantorovich method is developed for solving the system of nonlinear integral equations. The existence and uniqueness of the solution are proved, and the rate of convergence of the approximate solution is established.
Ahmedov, Anvarjon +3 more
core +6 more sources
Markov chain Mote Carlo solution of BK equation through Newton-Kantorovich method [PDF]
Journal of High Energy Physics, 2013 We propose a new method for Monte Carlo solution of non-linear integral equations by combining the Newton-Kantorovich method for solving non-linear equations with the Markov Chain Monte Carlo (MCMC) method for solving linear equations.
Krzysztof BoŻek +2 more
core +5 more sources
Solving system of nonlinear integral equations by Newton-Kantorovich method [PDF]
AIP Conference Proceedings, 2013 Newton-Kantorovich method is applied to obtain an approximate solution for a system of nonlinear Volterra integral equations which describes a large class of problems in ecology, economics, medicine and other fields.
Eshkuvatov, Zainidin K. +3 more
core +3 more sources
On Newton-Kantorovich Method for Solving the Nonlinear Operator Equation [PDF]
Abstract and Applied Analysis, 2015 We develop the Newton-Kantorovich method to solve the system of 2×2 nonlinear Volterra integral equations where the unknown function is in logarithmic form. A new majorant function is introduced which leads to the increment of the convergence interval.
Hameed Husam Hameed +3 more
doaj +3 more sources
Uniformly convergent computational method for singularly perturbed unsteady burger-huxley equation [PDF]
MethodsX, 2022 This paper deals with the numerical treatment of a singularly perturbed unsteady non-linear Burger-Huxley problem. Due to the simultaneous presence of a singular perturbation parameter and non-linearity in the problem applying classical numerical methods
Imiru Takele Daba, Gemechis File Duressa
doaj +2 more sources
A hybrid computational scheme for singularly perturbed Burgers’-Huxley equation [PDF]
MethodsXThis paper aims to construct and analyze a hybrid computational method for the nonlinear singularly perturbed Burgers’-Huxley equation. The presence of the perturbation parameter and non-linearity in the considered problem makes it difficult to solve the
Imiru Takele Daba, Genanew Gofe Gonfa
doaj +2 more sources
Estimates of majorizing sequences in the Newton–Kantorovich method: A further improvement
Journal of Mathematical Analysis and Applications, 2006 Majorizing sequences, a widespread tool to estimate the convergence of the Newton-Kantorovich method, are studied for operators with Hölder continuous derivatives. The authors improve their previous estimate on the convergence of a proper majorizing sequence.
CIANCIARUSO, Filomena +1 more
openaire +5 more sources
Newton-Kantorovich Method for Solving One of the Non-Linear Sturm-Liouville Problems
مجلة بغداد للعلوم, 2023 Due to its importance in physics and applied mathematics, the non-linear Sturm-Liouville problems witnessed massive attention since 1960. A powerful Mathematical technique called the Newton-Kantorovich method is applied in this work to one of the non ...
Hussien A. H. Abugirda +2 more
doaj +1 more source
Was Harold Zurcher myopic after all? Replicating Rust's engine replacement estimates
Journal of Applied Econometrics, Volume 38, Issue 7, Page 1093-1100, November/December 2023., 2023 Summary Rust (1987) studies the dynamic decision making under uncertainty made by Harold Zurcher to replace bus engines. In the decades since, the model has been applied, extended, and used as an example multiple times. This paper resolves some discrepancies in how data were transformed in the original and subsequent archives.
Christopher Ferrall
wiley +1 more source
A survey of Optimal Transport for Computer Graphics and Computer Vision
Computer Graphics Forum, Volume 42, Issue 2, Page 439-460, May 2023., 2023 Abstract Optimal transport is a long‐standing theory that has been studied in depth from both theoretical and numerical point of views. Starting from the 50s this theory has also found a lot of applications in operational research. Over the last 30 years it has spread to computer vision and computer graphics and is now becoming hard to ignore.
Nicolas Bonneel, Julie Digne
wiley +1 more source