Výsledky vyhledávání - Numerical computation of solutions to single equations

A convergent and stable fourth-order iterative procedure based on Kung-Traub conjecture for nonlinear systems

Autoři: Asifa Tassaddiq Sania Qureshi Ioannis K. Argyros a další

Zdroj: Applied Numerical Mathematics. 214:54-79

Témata: computational order of convergence, iterative algorithms, root-finding methods, Numerical computation of solutions to single equations, nonlinear models, efficiency index, computational cost

Popis souboru: application/xml

A numerical algorithm for computing the zeros of parabolic cylinder functions in the complex plane

Autoři: Dunster, T.M. Gil Gómez, Amparo Ruiz Antolín, Diego a další

Přispěvatelé: Dunster, T.M. Gil Gómez, Amparo Ruiz Antolín, Diego a další

Zdroj: BIT numerical mathematics, 2025, 65(2), 20
UCrea Repositorio Abierto de la Universidad de Cantabria
Universidad de Cantabria (UC)

Témata: parabolic cylinder functions, Parabolic cylinder functions, Qualitative theory for ordinary differential equations, Complex zeros, complex zeros, fixed point methods, Numerical Analysis (math.NA), Approximation in the complex plane, Matlab software, Fixed point methods, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Numerical computation of solutions to single equations, Mathematics - Numerical Analysis, Numerical approximation and evaluation of special functions, 33B15, 33C15, 65D20

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2412.13085
https://hdl.handle.net/10902/36372
https://zbmath.org/8029954
https://doi.org/10.1007/s10543-025-01065-w

A numerical Haar wavelet-finite difference hybrid method and its convergence for nonlinear hyperbolic partial differential equation

Autoři: Lei Weidong Ahsan Muhammad Khan Waqas a další

Zdroj: Demonstratio Mathematica, Vol 56, Iss 1, Pp 889-904 (2023)

Témata: hyperbolic equation, 65mxx, 65h05, 65nxx, 65t60, Numerical methods for partial differential equations, boundary value problems, haar wavelet, Haar wavelet, 35exx, Partial differential equations, 00a69, collocation method, Soliton solutions, 35c08, Numerical methods for wavelets, 35-xx, QA1-939, Numerical computation of solutions to single equations, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, General applied mathematics, Mathematics, Partial differential equations and systems of partial differential equations with constant coefficients, Numerical analysis, single- and double-soliton wave

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7690112
https://doi.org/10.1515/dema-2022-0203
https://doaj.org/article/bd497ccafe6e463baefa82532336b5df

An efficient extension of three-step optimal iterative scheme into with memory and its stability

Autoři: Nishant Kumar Alicia Cordero J. P. Jaiswal a další

Přispěvatelé: Nishant Kumar Alicia Cordero J. P. Jaiswal a další

Zdroj: RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Universitat Politècnica de València (UPV)

Témata: order of convergence, Basins of attraction, Order of convergence, iterative methods with memory, Iterative methods with memory, nonlinear equations, Numerical computation of solutions to single equations, Nonlinear equations, basins of attraction

Popis souboru: application/pdf; application/xml

Přístupová URL adresa: https://riunet.upv.es/handle/10251/220128

Fractal Behavior of King’s Optimal Eight-Order Iterative Method and Its Numerical Application: Fractal behavior of King's optimal eight-order iterative method and its numerical application

Autoři: Li, Wenshuo Wang, Xiaofeng

Zdroj: Mathematical Communications
Volume 29
Issue 2

Témata: fractal behavior, complex dynamics, iterative methods, Mobius conjugacy, dynamical plane, nonlinear equations, Fractals, General theory of numerical methods in complex analysis (potential theory, etc.), Möbius conjugacy, fractal behavior, nonlinear equations, iterative methods, Numerical computation of solutions to single equations, dynamical plane, complex dynamics, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: https://zbmath.org/7929235
https://hrcak.srce.hr/321249
https://hrcak.srce.hr/321249
https://hrcak.srce.hr/file/464216

Equation solving iterations based on tangential convex functions

Autoři: Várterész, Magdolna

Zdroj: Publicationes Mathematicae Debrecen. 39:253-261

Témata: global convergence, Newton's method, Interval and finite arithmetic, method of tangential parabolas, Numerical computation of solutions to single equations, root-finding algorithm, interval arithmetic, 0101 mathematics, convergence order, methods of tangential convex functions, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/61522

Lagrange and the Solution of Numerical Equations: Lagrange and the solution of numerical equations

Autoři: Reinhard Laubenbacher David Pengelley Gary McGrath

Zdroj: Historia Mathematica. 28:220-231

Témata: History, Mathematics(all), Möbius transformation, Lagrange, 0102 computer and information sciences, 06 humanities and the arts, symmetric function, 01 natural sciences, History of numerical analysis, continued fraction, Newton's method, Philosophy of mathematics, polynomial equation, Numerical computation of solutions to single equations, 0601 history and archaeology, algebraic congruence, abstract algebra, History of mathematics in the 18th century, numerical approximation

Popis souboru: application/xml

Přístupová URL adresa: https://dialnet.unirioja.es/servlet/articulo?codigo=736069
https://www.sciencedirect.com/science/article/pii/S031508600192316X
https://core.ac.uk/display/81989248
http://www.sciencedirect.com/science/article/pii/S031508600192316X

A New Iterative Method for the Computation of the Solutions of Nonlinear Equations: An iterative method for the computation of the solutions of nonlinear equations

Autoři: COSTABILE F. GUALTIERI M. SERRA CAPIZZANO, STEFANO

Zdroj: Numerical Algorithms. 28:87-100

Témata: numerical examples, 4. Education, Interval and finite arithmetic, Bernoulli expansion, interval arithmetic, comparison of methods, numerical comparison, 01 natural sciences, global convergence, iterative method, Newton method, nonlinear equations, zeros of \(C^1\) functions, superlinear convergence, Numerical computation of solutions to single equations, enclosing interval procedures, 0101 mathematics, Newton-type iterative methods

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1023/A:1014078328575
http://ui.adsabs.harvard.edu/abs/2001NuAlg..28...87C/abstract
https://core.ac.uk/display/53542978
https://link.springer.com/article/10.1007/s100920050020
https://hdl.handle.net/20.500.11770/139338
https://doi.org/10.1023/A:1014078328575
https://hdl.handle.net/11383/1490587

Numerical optimisation of worm locomotion on frictional substrates

Autoři: Bijalwan, Ashutosh

Přispěvatelé: University/Department: Universitat Politècnica de Catalunya. Facultat de Matemàtiques i Estadística

Thesis Advisors: Muñoz Romero, José

Zdroj: TDX (Tesis Doctorals en Xarxa)

Témata: Optimal control, Adjoint method, Control Hamiltonian, Structure-preserving discretisation, Nonlinear elasticity, Finite element, Limbless locomotion, Àrees temàtiques de la UPC::Matemàtiques i estadística

Popis souboru: application/pdf

Přístupová URL adresa: http://hdl.handle.net/10803/692243
https://dx.doi.org/10.5821/dissertation-2117-415062

An Optimal Eighth-Order One-Parameter Single-Root Finder: Chaotic Dynamics and Stability Analysis: An optimal eighth-order one-parameter single-root finder: chaotic dynamics and stability analysis

Autoři: Wenshuo Li Xiaofeng Wang

Zdroj: International Journal of Bifurcation and Chaos. 33

Témata: dynamic behavior, bifurcation, Numerical computation of solutions to single equations, nonlinear system, 0101 mathematics, stability analysis, 01 natural sciences, attractive basin, Strange attractors, chaotic dynamics of systems with hyperbolic behavior

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7848402
https://doi.org/10.1142/s0218127423501766

On the computation of solutions of systems of interval polynomial equations

Autoři: Ferreira, J. A. Patrício, F. Oliveira, F.

Zdroj: Journal of Computational and Applied Mathematics. 173:295-302

Témata: Interval polynomials, Applied Mathematics, Interval and finite arithmetic, 02 engineering and technology, 01 natural sciences, Computational Mathematics, Systems of interval equations, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), 0202 electrical engineering, electronic engineering, information engineering, Computational aspects of field theory and polynomials, Numerical computation of solutions to single equations, algebraic equations, 0101 mathematics, interval coefficients

Popis souboru: application/xml; aplication/PDF

Přístupová URL adresa: https://core.ac.uk/display/19123122
https://www.sciencedirect.com/science/article/abs/pii/S037704270400158X
https://estudogeral.sib.uc.pt/bitstream/10316/4634/1/file27dbb7a3a8b54f2087925183939c6017.pdf
https://www.sciencedirect.com/science/article/pii/S037704270400158X
https://estudogeral.sib.uc.pt/handle/10316/4634
https://dialnet.unirioja.es/servlet/articulo?codigo=1022641
https://hdl.handle.net/10316/4634

Construction of iteration functions for the simultaneous computation of the solutions of equations and algebraic systems

Autoři: Anne-Mercedes Bellido

Zdroj: Numerical Algorithms. 6:317-351

Témata: Newton-like iteration methods, numerical examples, systems of algebraic equations, Numerical computation of solutions to systems of equations, Computational aspects of field theory and polynomials, Numerical computation of solutions to single equations, local quadratic convergence, 0101 mathematics, Durand-Kerner method, 01 natural sciences, Real polynomials: location of zeros, performance

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/553668
https://doi.org/10.1007/bf02142677
https://dblp.uni-trier.de/db/journals/na/na6.html#Bellido94
https://link.springer.com/article/10.1007/BF02142677
https://ui.adsabs.harvard.edu/abs/1994NuAlg...6..317B/abstract
https://link.springer.com/content/pdf/10.1007/BF02142677.pdf

Numerical mountain pass periodic solutions of a nonlinear spring equation: Numerical mountain pass periodic solutions of a nonlinear spring equation.

Autoři: L.D. Humphreys S. Hill

Zdroj: Computers & Mathematics with Applications. 35:59-67

Témata: 0211 other engineering and technologies, Hyperbolic equations and hyperbolic systems, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, 02 engineering and technology, Dual variational formulation, 01 natural sciences, Computational Mathematics, Computational Theory and Mathematics, Nonlinear spring, Modelling and Simulation, Numerical computation of solutions to single equations, 0101 mathematics, Periodic solutions to ordinary differential equations, Mountain pass algorithm

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S0898122198000960

Root structure and numerical solution of the equation sin z = cz: Root structure and numerical solution of the equation \(\sin z=cz\)

Autoři: Erik B. Hansen

Zdroj: Applied Mathematics Letters. 10:33-38

Témata: separated solutions, Wedge region, biharmonic equation, Separated solutions, Applied Mathematics, root structure, Numerical computation of solutions to single equations, wedge region, 0101 mathematics, iterative root finding method, 01 natural sciences, Biharmonic equation

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1085333
https://doi.org/10.1016/s0893-9659(97)00007-4
https://www.sciencedirect.com/science/article/pii/S0893965997000074
http://www.sciencedirect.com/science/article/pii/S0893965997000074

Numerical solution of a secular equation

Autoři: Aaron Melman

Zdroj: Numerische Mathematik. 69:483-493

Témata: Numerical computation of eigenvalues and eigenvectors of matrices, secant method, Newton's method, secular equation, eigenvalue problem, root- finding methods, Numerical computation of solutions to single equations, convergence acceleration, numerical results, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/739406
https://doi.org/10.1007/s002110050104
https://link.springer.com/article/10.1007%2Fs002110050104
http://core.ac.uk/display/24317676

Comparison of a continuation method with Brent's method for the numerical solution of a single nonlinear equation

Autoři: A. Swift G. R. Lindfield

Zdroj: The Computer Journal. 21:359-362

Témata: Numerical computation of solutions to single equations, 0101 mathematics, Software, source code, etc. for problems pertaining to numerical analysis, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://academic.oup.com/comjnl/article-pdf/21/4/359/1022157/210359.pdf

Über gleichungslösende Iterationen ohne Divergenzpunkt. III: Über gleichungslösende Iterationen ohne Divergenzpunkt. II

Autoři: Szabo, Zoltan

Zdroj: Publicationes Mathematicae Debrecen. 27:185-200

Témata: numerical examples, asymptotic error constants, interval arithmetics, Numerical computation of solutions to single equations, second order iteration methods of tangential conic sections, Numerical methods for functional equations, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3464753
https://zbmath.org/3438269
https://zbmath.org/3714821

An Improvement to the Computing of Nonlinear Equation Solutions: An improvement to the computing of nonlinear equation solutions

Autoři: Miquel Grau

Zdroj: Numerical Algorithms. 34:1-12

Témata: order of convergence, numerical examples, 0209 industrial biotechnology, Hermite's inverse interpolation formula, function evaluations, nonlinear algebraic equations, iterative methods, Numerical computation of solutions to single equations, 02 engineering and technology, 0101 mathematics, Symbolic computation and algebraic computation, 01 natural sciences, symbolic computation

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2005324
https://doi.org/10.1023/a:1026100500306
https://dblp.uni-trier.de/db/journals/na/na34.html#Grau03
https://ui.adsabs.harvard.edu/abs/2003NuAlg..34....1G/abstract
https://link.springer.com/article/10.1023/A%3A1026100500306

The instability of the period-two cycles of Newton's method

Autoři: Wong, Sherman

Zdroj: Publicationes Mathematicae Debrecen. 34:317-321

Témata: instability, zeros of polynomials, Newton's method, period-two cycle, Numerical computation of solutions to single equations, 0101 mathematics, 01 natural sciences, Real polynomials: location of zeros

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/4072261

Fehleranalyse des divergenzpunktlosen Verfahrens von allgemeinen Berührungsellipsen

Autoři: Kontor, Valéria

Zdroj: Publicationes Mathematicae Debrecen. 31:105-112

Témata: second order method, approximation by ellipse, zero of a \(C^ 2\) function, Numerical computation of solutions to single equations, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3894372