Keywords: 65D32; 41A25; 65B05; Clenshaw-Curtis quadrature; Endpoint singularities; Chebyshev coefficients; Convergence rate;
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Tightness and duality of martingale transport on the Skorokhod space
Keywords: 65B05; 60B10; 60G44; 91G20; S-topology; Dynamic programming principle; Robust superhedging;
Estimation of the bilinear form y⁎f(A)x for Hermitian matrices
Keywords: 65F15; 65F30; 65B05; 65C05; 65J10; 15A18; 15A45Bilinear form; Hermitian matrix; Matrix moments; Function moment; Matrix functions; Extrapolation
Expanding the applicability of the Secant method under weaker conditions
Keywords: Secant method; Banach space; Majorizing sequence; Divided difference; Local convergence; Semilocal convergence; 65H10; 65G99; 65B05; 65N30; 47H17; 49M15;
Weaker Kantorovich type criteria for inexact Newton methods
Keywords: 65H10; 65J20; 65G99; 65B05; 65N30Inexact Newton method; Banach space; Kantorovich-theory; Semilocal convergence; Fréchet derivative; Center-Lipschitz condition
Biorthogonal polynomials and numerical quadrature formulas for some finite-range integrals with symmetric weight functions
Keywords: 41A55; 41A60; 65B05; 65B10; 65B15; 65D30Biorthogonal polynomials; Numerical integration; Symmetric weight functions; Acceleration of convergence; Levin transformation; Rational approximation
Quadpack computation of Feynman loop integrals
Keywords: 30E15; 41A55; 41A58; 41A60; 65B05; 65B15; 65D20; 65D30; 65D32; 65Z05; 68N30; 68W01Feynman loop integrals; Numerical iterated integration; Adaptive strategy; Extrapolation; Convergence acceleration; Asymptotic expansions; Singularities; Infrared divergence
An algorithm using the finite volume element method and its splitting extrapolation
Keywords: 65B05; 65N30Extrapolation; Finite volume element method; Parallel algorithm; Domain decomposition
A Newton-like method for nonsmooth variational inequalities
Keywords: 65K10; 65G99; 65H10; 65B05; 47H04; 49M15; 47H17; 14P15Variational inequalities; Aubin-like property; Linear convergence; Slant differentiability; Newton-like method; Set-valued map
A splitting extrapolation for solving nonlinear elliptic equations with d-quadratic finite elements
Keywords: 65B05; 65N12; 65N30; 35J60Extrapolation; Asymptotic expansion; Parallel algorithm; Finite elements; Domain decomposition; A posteriori error estimate
Krylov deferred correction accelerated method of lines transpose for parabolic problems
Keywords: 65B05; 65F10; 65M99Krylov subspace methods; Krylov deferred correction; Method of lines; Preconditioners; Parabolic partial differential equations
BiCGStab, VPAStab and an adaptation to mildly nonlinear systems
Keywords: 41A21; 65B05; 65D15; 65H10BiCGStab; Vector-Padé approximation; Nonlinear system; Bratu equation; Burghers’ equation
Arbitrary order Krylov deferred correction methods for differential algebraic equations
Keywords: 65B05; 65F10; 65L80Spectral deferred correction methods; Differential algebraic equations; Spectral integration; Preconditioners; Krylov subspace methods; GMRES
Development of the Levin-type algorithms for accelerating convergence of sequences
Keywords: 65B05; 65B10; 41A99Levin-type algorithms; Iterated Aitken Δ2Δ2 algorithm; Cizek, Zamastil and Skala transformation; Convergence acceleration
Accelerating the convergence of spectral deferred correction methods
Keywords: 65B05; 65F10; 65L05Spectral deferred correction methods; Stiff equations; Krylov subspace methods; GMRES
Concerning the “terra incognita” between convergence regions of two Newton methods
Keywords: 65B05; 65G99; 65J15; 47H17; 49M15; Newton's method; Modified Newton's method; Banach space; Hölder/Lipschitz continuity; Fréchet-derivative; Majorizing principle; Convergence region/radius;