Výsledky vyhledávání - Numerical solutions to equations with nonlinear operators

High convergence order iterative method for nonlinear system of equations in Banach spaces

Autoři: Sharma, Rajni Deep, Gagan Bala, Neeru

Zdroj: The Journal of Analysis. 33:989-1018

Témata: Banach spaces, Iterative procedures involving nonlinear operators, efficiency, Numerical solutions to equations with nonlinear operators, local convergence, iterative methods

Popis souboru: application/xml

Numerical Solution of the Inverse Coefficient Problem for a Mathematical Model of Desorption Dynamics.

Autoři: Denisov, A. M. Zhu Dongqin

Zdroj: Differential Equations; Jul2025, Vol. 61 Issue 7, p1108-1117, 10p

Témata: INVERSE problems, ITERATIVE methods (Mathematics), NONLINEAR operators, MATHEMATICAL proofs, MATHEMATICAL models, NUMERICAL solutions to equations, DESORPTION kinetics, FIXED point theory

The solution of split common fixed point problems for enriched asymptotically nonexpansive mappings in Banach spaces

Autoři: Agwu, Imo Kalu Ali, Faeem Igbokwe, Donatus Ikechi

Zdroj: The Journal of Analysis. 33:589-617

Témata: Fixed-point theorems, pseudocontractive mapping, Banach space, fixed point, Equations involving nonlinear operators (general), Numerical solutions to equations with nonlinear operators, enriched nonlinear mapping, Lipschitizian and quasi-nonexpansive mappings, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc, demicontractive mappings, accretive operators

Popis souboru: application/xml

Numerical verification of existence and inclusion of solutions for nonlinear operator equations

Autoři: Shin'ichi Oishi

Zdroj: Journal of Computational and Applied Mathematics. 60:171-185

Témata: Banach space, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, Numerical solutions to equations with nonlinear operators, self-validating numerics, Applied Mathematics, periodic solution, abstract nonlinear operator equations, 02 engineering and technology, Nonlinear ordinary differential equations and systems, computer-assisted existence proof, Urabe-Galerkin's method, Numerical methods for initial value problems involving ordinary differential equations, 01 natural sciences, inclusion of solutions, Computational Mathematics, Newton's method, Duffing equation, Iterative procedures involving nonlinear operators, finite method, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics, Periodic solutions to ordinary differential equations

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/808369
https://doi.org/10.1016/0377-0427(94)00090-n
https://www.sciencedirect.com/science/article/abs/pii/037704279400090N
https://waseda.pure.elsevier.com/en/publications/numerical-verification-of-existence-and-inclusion-of-solutions-fo
https://www.sciencedirect.com/science/article/pii/037704279400090N
http://www.oishi.info.waseda.ac.jp/~oishi/Publications/SV4NEW.pdf
http://repository.kulib.kyoto-u.ac.jp/dspace/bitstream/2433/83368/1/0831-11.pdf

Multifidelity Covariance Estimation via Regression on the Manifold of Symmetric Positive Definite Matrices: Multifidelity covariance estimation via regression on the manifold of symmetric positive definite matrices

Autoři: Aimee Maurais Terrence Alsup Benjamin Peherstorfer a další

Zdroj: SIAM Journal on Mathematics of Data Science. 7:189-223

Témata: FOS: Computer and information sciences, covariance estimation, Computer Science - Machine Learning, Numerical solutions of ill-posed problems in abstract spaces, regularization, Numerical solutions to equations with nonlinear operators, multifidelity methods, Numerical Analysis (math.NA), estimation on manifolds, Statistics - Computation, Machine Learning (cs.LG), Positive matrices and their generalizations, cones of matrices, Numerical solutions to equations with linear operators, Special polytopes (linear programming, centrally symmetric, etc.), General nonlinear regression, FOS: Mathematics, Mathematics - Numerical Analysis, Riemannian geometry, Mahalanobis distance, Statistics on manifolds, Computation (stat.CO), statistical coupling

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2307.12438

Inertial iterative algorithms for common solution of variational inequality and system of variational inclusion problems

Autoři: Zhao, Yali Zhao, Ziru

Zdroj: The Journal of Analysis. 32:2889-2911

Témata: Convex programming, Variational and other types of inequalities involving nonlinear operators (general), Numerical solutions to equations with nonlinear operators, weak convergence, extragradient method

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7965063
https://doi.org/10.1007/s41478-024-00766-9

Strong Norm Error Bounds for Quasilinear Wave Equations Under Weak CFL-Type Conditions: Strong norm error bounds for quasilinear wave equations under weak CFL-type conditions

Autoři: Dörich, Benjamin

Zdroj: Foundations of Computational Mathematics, 25 (1), 303–350

Témata: ddc:510, Numerical solutions to equations with nonlinear operators, nonconforming space discretization, a-priori error bounds, Full discretization, A-priori error bounds, quasilinear wave equation, 01 natural sciences, Nonconforming space discretization, Error bounds for initial value and initial-boundary value problems involving PDEs, Error analysis, full discretization, Wave equation, Isoparametric finite elements, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Quasilinear wave equation, Mathematics, error analysis, isoparametric finite elements

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: https://publikationen.bibliothek.kit.edu/1000168974
https://publikationen.bibliothek.kit.edu/1000168974/152359850
https://doi.org/10.5445/IR/1000168974

The exact solutions of a kind of nonlinear operator equations

Autoři: Ming Gen Cui Li Hong Yang

Zdroj: Applied Mathematics and Computation. 167:607-615

Témata: exact solution, Numerical solutions to equations with nonlinear operators, reproducing kernel, nonlinear operator equation, 0101 mathematics, numerical experiments, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2220618
https://doi.org/10.1016/j.amc.2003.10.062
https://www.sciencedirect.com/science/article/abs/pii/S009630030400517X
https://dblp.uni-trier.de/db/journals/amc/amc167.html#CuiY05
http://www.sciencedirect.com/science/article/pii/S009630030400517X

Sourcewise representation of solutions to nonlinear operator equations in a Banach space and convergence rate estimates for a regularized Newton’s method: Sourcewise representation of solutions to nonlinear operator equations in a Banach space and convergence rate estimates for a regularized Newton's method

Autoři: M. Yu. Kokurin A. B. Bakushinskii

Zdroj: jiip. 9:349-374

Témata: regularization, Banach space, Newton's method, convergence, Numerical solutions of ill-posed problems in abstract spaces, Iterative procedures involving nonlinear operators, Numerical solutions to equations with nonlinear operators, Nonlinear ill-posed problems, nonlinear ill-posed operator equations, iterative methods, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1719060
https://www.degruyter.com/view/j/jiip.2001.9.issue-4/jiip.2001.9.4.349/jiip.2001.9.4.349.xml

Mechanical modeling of arbitrarily perforated orthotropic composites with the numerical manifold method

Autoři: D.L. Guo H.H. Zhang X.L. Ji a další

Zdroj: Engineering Analysis with Boundary Elements. 158:289-302

Témata: numerical manifold method, holes, Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids, Finite element methods applied to problems in solid mechanics, Numerical solutions to equations with nonlinear operators, mechanical behavior, Composite and mixture properties, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, orthotropic composites, non-conforming discretization

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7875814
https://doi.org/10.1016/j.enganabound.2023.11.001

Convergence rates of regularized solutions of nonlinear ill-posed operator equations involving monotone operators

Autoři: Zong-Yi Hou Hongqi Yang

Zdroj: Science in China Series A: Mathematics. 41:252-259

Témata: convergence, Numerical solutions of ill-posed problems in abstract spaces, regularization, Iterative procedures involving nonlinear operators, nonlinear operator equations, Numerical solutions to equations with nonlinear operators, monotone operator, nonlinear ill-posed problems, 0101 mathematics, regularization method, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1187425
https://doi.org/10.1007/bf02879043
https://ui.adsabs.harvard.edu/abs/1998ScChA..41..252Y/abstract
https://link.springer.com/article/10.1007/BF02879043
https://en.cnki.com.cn/Article_en/CJFDTotal-JAXG199803003.htm
https://link.springer.com/content/pdf/10.1007/BF02879043.pdf

A Collocation Method for the Numerical Solution of Laplace’s Equation with Nonlinear Boundary Conditions on a Polygon: A collocation method for the numerical solution of Laplace's equation with nonlinear boundary conditions on a polygon

Autoři: Robert L. Doucette

Zdroj: SIAM Journal on Numerical Analysis. 30:717-732

Témata: convergence, Numerical solutions to equations with nonlinear operators, Numerical examples, Integral representations of solutions to PDEs, Singular nonlinear integral equations, Boundary element methods for boundary value problems involving PDEs, Laplace equation, Numerical methods for integral equations, nonlinear integral equation, Superconvergence, 01 natural sciences, collocation method, Nonlinear boundary value problems for linear elliptic equations, Integral representations, integral operators, integral equations methods in two dimensions, boundary integral equation, Spectral, collocation and related methods for boundary value problems involving PDEs, 0101 mathematics, nonlinear boundary value problem

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/404715
https://doi.org/10.1137/0730035
https://locus.siam.org/doi/abs/10.1137/0730035
https://epubs.siam.org/doi/abs/10.1137/0730035

Iterative solution of nonlinear equations involving set-valued uniformly accretive operators: Iterative solution of nonlinear equations involving set-valued uniformly accretive operators.

Autoři: B.V.C. Nnoli C. Moore

Zdroj: Computers & Mathematics with Applications. 42:131-140

Témata: iteration processes with errors, Numerical solutions to equations with nonlinear operators, Uniformly quasi-accretive, uniformly continuous, uniformly quasi-accretive, 01 natural sciences, strong convergence, Computational Mathematics, Iterative procedures involving nonlinear operators, Computational Theory and Mathematics, Uniformly hemicontractive, Uniformly continuous, Modelling and Simulation, Normed spaces, normed space, Iterations, 0101 mathematics, Nonlinear accretive operators, dissipative operators, etc, Set-valued operators, uniformly hemicontractive

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1672050
https://doi.org/10.1016/s0898-1221(01)00138-9
https://www.sciencedirect.com/science/article/pii/S0898122101001389

Iterative solutions of nonlinear φ-strongly accretive operator equations in arbitrary Banach spaces: Iterative solutions of nonlinear \(\phi\)-strongly accretive operator equations in arbitrary Banach spaces

Autoři: M.O. Osilike

Zdroj: Nonlinear Analysis: Theory, Methods & Applications. 36:1-9

Témata: Iterative procedures involving nonlinear operators, Ishikawa iterates, Numerical solutions to equations with nonlinear operators, \(\phi\)-strongly accretive operator, 0101 mathematics, Nonlinear accretive operators, dissipative operators, etc, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1270973
https://doi.org/10.1016/s0362-546x(97)00566-x
https://www.sciencedirect.com/science/article/pii/S0362546X9700566X

On approximate solution of nonlinear operator equations

Autoři: V. P. Tanana

Zdroj: Siberian Mathematical Journal. 39:1017-1025

Témata: convergence, Numerical solutions of ill-posed problems in abstract spaces, regularization, Iterative procedures involving nonlinear operators, Numerical solutions to equations with nonlinear operators, nonlinear operator equation, Hilbert space, ill-posed problem, 0101 mathematics, regularization method, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1286347
https://doi.org/10.1007/bf02672925
https://link.springer.com/content/pdf/10.1007/BF02672925.pdf
https://link.springer.com/article/10.1007/BF02672925

Effective Rates for Iterations Involving Bregman Strongly Nonexpansive Operators: Effective rates for iterations involving Bregman strongly nonexpansive operators

Autoři: Nicholas Pischke Ulrich Kohlenbach

Zdroj: Set-Valued and Variational Analysis. 32

Témata: Iterative procedures involving nonlinear operators, proof mining, Numerical solutions to equations with nonlinear operators, Bregman strongly nonexpansive mappings, Bregman projections, 0211 other engineering and technologies, Legendre functions, maximal monotone operators, 02 engineering and technology, Functionals in proof theory, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml; text

Přístupová URL adresa: https://zbmath.org/7965977
https://doi.org/10.1007/s11228-024-00736-0
https://tuprints.ulb.tu-darmstadt.de/29159/1/11228_2024_Article_736.pdf

The Numerical Solution of Nonlinear Equations Having Several Parameters. Part III: Equations with $Z_2 $-Symmetry: The numerical solution of nonlinear equations having several parameters. III: Equations with \(Z_ 2\)-symmetry

Autoři: Allan D. Jepson K. A. Cliffe Alastair Spence

Zdroj: SIAM Journal on Numerical Analysis. 28:809-832

Témata: axisymmetric flows, finite Taylor problem, Iterative procedures involving nonlinear operators, symmetric-breaking bifurcation points, Numerical solutions to equations with nonlinear operators, Nonlinear spectral theory, nonlinear eigenvalue problems, singularity theory, Navier-Stokes equations, nonlinear multiparameter problems, Numerical continuation methods

Popis souboru: application/xml

Přístupová URL adresa: https://epubs.siam.org/doi/10.1137/0728043
http://www.cs.toronto.edu/~jepson/papers/JepsonSpenceCliffeSIAMJNumAnal1991.pdf

ON SOME PROJECTION METHODS FOR THE SOLUTION OF NONLINEAR EQUATIONS WITH NONDIFFERENTIABLE OPERATORS: On some projection methods for the solution of nonlinear equations with nondifferentiable operators

Autoři: Ioannis K. Argyros

Zdroj: Tamkang Journal of Mathematics. 24:1-7

Témata: Extrapolation to the limit, deferred corrections, Iterative procedures involving nonlinear operators, Numerical solutions to equations with nonlinear operators, 0101 mathematics, iteration, 01 natural sciences, nonlinear equation with a nondifferentiable operator in a Banach space

Popis souboru: application/xml

Přístupová URL adresa: https://journals.math.tku.edu.tw/index.php/TKJM/article/download/4466/1515
https://zbmath.org/553597

On the Two‐step Newton Method for the Solution of Nonlinear Operator Equations: On the two-step Newton method for the solution of nonlinear operator equations

Autoři: N. A. Evkhuta P. P. Zabrejko E. De Pascale a další

Zdroj: Mathematische Nachrichten. 172:5-14

Témata: convergence, Iterative procedures involving nonlinear operators, error estimates, two-step Newton method, Numerical solutions to equations with nonlinear operators, nonlinear operator equation, 0101 mathematics, 01 natural sciences, method of Kantorovich majorants

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/780074
https://doi.org/10.1002/mana.19951720102
http://onlinelibrary.wiley.com/doi/10.1002/mana.19951720102/abstract

Approximation of solutions of nonlinear operator equation on the half line

Autoři: O'Regan, D. University of Galway Research Repository

Přispěvatelé: O'Regan, D. University of Galway Research Repository

Zdroj: Computers & Mathematics with Applications. 35:65-77

Témata: Strict convergence, Equations involving nonlinear operators (general), Collectively compact, Numerical methods for integral equations, topological-spaces, 01 natural sciences, operator equations, Fixed-point theorems, infinite intervals, Modelling and Simulation, fixed point approach, nonlinear operator equation on the half line, 0101 mathematics, Approximation, approximation, strict convergence, Other nonlinear integral equations, Numerical solutions to equations with nonlinear operators, existence, Operator equations, collectively compact, Computational Mathematics, Computational Theory and Mathematics, Infinite intervals, Theoretical approximation of solutions to integral equations, fixed-point theorems

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S0898122198000583
http://www.sciencedirect.com/science/article/pii/S0898122198000583