Keywords: 65M08; 65M15; 65J15; 76L05; 35L65; 35R60; Reduced order modeling; Nonlinear hyperbolic problems; UQ; Empirical interpolation method; POD-Greedy; Residual distribution;
مقالات ISI (ترجمه نشده)
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Keywords: 45G10; 47H17; 65J15; 65G99; Multi-step Newton-type method; Banach space; Euclidean space; Semi-local convergence; Center-Lipschitz and Lipschitz conditions; Systems of differential equations;
Keywords: 47H99; 65H10; 65J15; Newton's method; Restricted domain; Majorizing sequence; Semilocal convergence; Error estimates; Integral equation;
Keywords: 47H99; 65H10; 65J15; Newton's method; Semilocal convergence; Majorizing sequence; Error estimates; Region of accessibility; Integral equation;
Keywords: 47A52; 65J15; Nonlinear ill-posed problem; Steepest descent method; Balancing principle;
Keywords: 65G99; 65J15; 49M15; Nonlinear equations; Simple roots; Computational order of convergence; Steffensen's type method;
Keywords: 60H10; 60H35; 65C20; 65C30; 65J15; 65L20; 92D99; Explicit numerical scheme; Semi-discrete method; Non-linear SDEs; Strong approximation error; Boundary preserving numerical algorithm; Wright-Fisher model;
Keywords: primary; 65N30; 65J15; 65N12; 65N15; Linear transport problems; L2-stable Petrov-Galerkin formulations; δ-proximality; Adaptive refinements; Anisotropic discretizations; Best N-term approximation; Shearlets;
Keywords: Non-differentiable operator; The Kurchatov method; Local convergence; 47H99; 65H10; 65J15;
Keywords: Divided difference; Nonlinear equation; Non-differentiable operator; The secant method; Iterative method; Local convergence45G10; 47H17; 65J15
Keywords: Nonlinear equations; Newton-like methods; Iterated projection approximation; Integral equations; 65J15; 45G10; 35P05;
Keywords: Nonlinear ill-posed equations; Adaptive method; Monotone operator; Quadratic convergence; Projection method41H25; 65F22; 65J15; 65J22; 47A52
Keywords: 65G99; 65J15; 47H17; 49M15Modified Newton’s method; Majorant method; Banach space; Rate of convergence; Local/semilocal convergence; Kantorovich’s hypothesis
Keywords: Fredholm–Hammerstein integral equations; Spline collocation; Nonlinear integral operators41A15; 45B05; 47G10; 65D05; 65J15; 65R20
Keywords: Split common fixed point problem; Demicontractive operator; Quasi-nonexpansive operator; Directed operator47J25; 47H45; 65J15
Keywords: 65J15; 65J20; 65 N20Multiple solutions; Barriers; Augmented singular transform; Augmented partial Newton method
Keywords: 65J15; 65G99; 65H10; Newton-Kantorovich method; Convergence domain; Analytic operator;
Keywords: 65H10; 65J15; 47H17Nonlinear equation; Iterative process; The convergence order; Radius of convergence; Nondifferentiable operator; Generalized Lipschitz condition
A peculiar application of Atangana-Baleanu fractional derivative in neuroscience: Chaotic burst dynamics
Keywords: Atangana-Baleanu fractional derivative In caputo sense; Neuron of Hindmarsh-Rose; Bursting; Chaotic bifurcations; 65P20; 74G25; 65J15; 26A33;
Semilocal convergence of a Secant-type method under weak Lipschitz conditions in Banach spaces
Keywords: 47H17; 65J15; Semilocal convergence; Double step Secant method; Divided differences; Majorizing sequences; Error bounds; Efficiency index;
Convergence analysis of a monotone projection algorithm in reflexive banach spaces
Keywords: Asymptotically quasi-Ï-nonexpansive mapping; Banach space; equilibrium problem; fixed point; Generalized projection; 47N10; 65J15; 90C33;
Some convergence theorems of the Mann iteration for monotone α-nonexpansive mappings
Keywords: Ordered Banach space; Fixed point; Monotone α-nonexpansive mapping; Convergence; The Mann iteration47H06; 47J05; 47J25; 47H10; 47H17; 49J40; 47H04; 65J15
Modified projection method for Urysohn integral equations with non-smooth kernels
Keywords: 45L10; 65J15; 65R20Urysohn integral operator; Galerkin method; Collocation method
On the Kurchatov method for solving equations under weak conditions
Keywords: Kurchatov method; Newton’s method; Banach space; Local-semilocal convergence; Divided difference65D10; 65D99; 65G99; 65J15; 65H10
Approximation of point of coincidence and common fixed points of quasi-contraction mappings using the Jungck iteration scheme
Keywords: Jungck iteration; Convergence theorem; Point of coincidence; Common fixed point; Quasi-contraction; Error estimates54H10; 47H10; 65J15
An analysis of the semilocal convergence for secant-like methods
Keywords: Nonlinear equation; Secant-like methods; Semilocal convergence; Domain of parameters; Integral equation of Hammerstein47H99; 65H10; 65J15
Extending the convergence domain of the Secant and Moser method in Banach Space
Keywords: 65J15; 47H17Newton’s method; Secant method; Moser method; Semilocal convergence; Recurrent relations; Banach space
On the convergence of efficient King-Werner-type methods of order 1+2
Keywords: 65G99; 65H10; 65J15; 47H17; 49M15; King's method; Werner's method; Banach space; Local-semilocal convergence analysis; Fréchet-derivative; Efficiency index;
Projector based integration of DAEs with the Taylor series method using automatic differentiation
Keywords: 65L80; 65J15; 65D25; 34A34Differential-algebraic equations; Automatic differentiation; Taylor series method; Newton–Kantorowitsch method
Iterative algorithms for generalized mixed equilibrium problems
Keywords: Generalized mixed equilibrium problems; Auxiliary problem; Resolvent mapping; Iterative algorithms; Fejer monotonicity; θ-Pseudo monotone mapping65K15; 47J25; 65J15; 90C33
The finite element approximation in parabolic quasi-variational inequalities related to impulse control problem with mixed boundary conditions
Keywords: 65J15; 65N30PQVI; Impulse control problem; L∞-Stability analysis; Asymptotic behavior
On the local convergence of fast two-step Newton-like methods for solving nonlinear equations
Keywords: 65J15; 65G99; 47H99; 49M15Banach space; Semilocal convergence; Newton-like method; Chebyshev’s method; Secant method; Newton’s method
Optimal secant-updates of rank 1
Keywords: 47J25; 65J15; Nonlinear operator equations; Iterative methods; Secant-updates; Optimization;
A dynamical method of DAEs for the smallest eigenvalue problem
Keywords: 65H17; 65J15; 65K05; 65L05Dynamical system; Eigenvalue; Differential-algebraic equation; Pseudo-transient continuation; Trust-region technique
On local convergence of a symmetric semi-discrete scheme for an abstract analogue of the Kirchhoff equation
Keywords: 65M15; 65N12; 65N22; 65Q30; 65J15; Nonlinear Kirchhoff wave equation; Cauchy problem; Three-layer semi-discrete scheme;
Cyclic algorithms for split feasibility problems in Hilbert spaces
Keywords: 47J25; 47N10; 65J15; 90C25Convex feasibility; Split feasibility; Split common fixed point; Nonexpansive mapping; Class-TT operator; Iterative algorithm
Third-order iterative methods with applications to Hammerstein equations: A unified approach
Keywords: 65F15; 65J15; 65H05Iterative methods; Semilocal convergence; Cubic convergence; Hammerstein equations
On the semilocal convergence of efficient Chebyshev–Secant-type methods
Keywords: 65J15; 65G99; 47H99; 49M15Banach space; Chebyshev’s method; The secant method; Newton’s method; Divided difference; Recurrence relations
Kantorovich-type semilocal convergence analysis for inexact Newton methods
Keywords: 65H10; 65G99; 65J15; 47H30Inexact Newton method; Banach space; Lipschitz-center condition; Semilocal convergence; Majorizing sequence; Kantorovich-theorem-hypothesis
Solving nonlinear integral equations of Fredholm type with high order iterative methods
Keywords: 45G10; 47H99; 65J15; Iterative methods; Hybrid methods; Order of convergence; Efficiency; Semilocal convergence; Fredholm integral equation;
Weak convergence theorems for a finite family of strict pseudocontractions
Keywords: 47H09; 47H10; 47J05; 65J15; Fixed points; Strict pseudocontractions; Weak convergence theorems; Uniformly smooth Banach spaces; Uniformly convex Banach spaces;
Extending the Newton–Kantorovich hypothesis for solving equations
Keywords: 65H10; 65G99; 65J15; 47H17; 49M15Newton’s method; Banach space; Semilocal convergence; Newton–Kantorovich hypothesis; Chandrasekhar-type nonlinear integral equation; Two boundary value problem with Green kernel
On some one-point hybrid iterative methods
Keywords: 47H99; 65J15; 34B15Nonlinear equations in Banach spaces; The Newton method; Iterative processes of third order; Semilocal convergence; RR-order of convergence; Region of accessibility; Boundary-value problems
Cyclic algorithm for common fixed points of finite family of strictly pseudocontractive mappings of Browder-Petryshyn type
Keywords: 47H09; 47H10; 47J05; 65J15; Fixed points; Strictly pseudocontractive maps; Cyclic algorithm; q-uniformly smooth Banach spaces;
A nonlinear inequality and applications
Keywords: 65J15; 65J20; 65N12; 65R30; 47J25; 47J35; Nonlinear inequality; Dynamical systems method (DSM); Stability;
On the semilocal convergence of inexact Newton methods in Banach spaces
Keywords: 65H10; 65J15; 65G99; 47H17; 49M15Inexact Newton method; Banach space; Majorizing sequence; Residual; Semilocal convergence; Lipschitz condition; Center-Lipschitz condition
On an iterative algorithm with superquadratic convergence for solving nonlinear operator equations
Keywords: 65J15; 65H10Iterative difference method; Divided differences; Convergence order; Majorant method; Lipschitz–Hölder condition
On the penalty-projection method for the Navier–Stokes equations with the MAC mesh
Keywords: 65M06; 65J15; 35Q30; 65M15Projection methods; Penalty-projection method; Incompressible flows; Navier–Stokes equations; MAC scheme
A cubically convergent Newton-type method under weak conditions
Keywords: 47H17; 65J15; 41A25; 65D99Newton's method; Nonlinear equations; Iterative method; Third-order convergence
Dynamical Systems Method (DSM) for general nonlinear equations
Keywords: 47H15; 47H20; 65H10; 65J15; 65N20Nonlinear operator equations; Iterative methods; DSM—dynamical systems method