Journal: Numerical Algorithms

Found 192 papers in total
On efficient two‐parameter methods for solving nonlinear equations
On efficient two‐parameter methods for solving nonlinear equations
2013,
Derivative free methods for solving nonlinear equations of Steffensen’s type are...
Algorithm for min‐range multiplication of affine forms
Algorithm for min‐range multiplication of affine forms
2013,
Affine arithmetic produces guaranteed enclosures for computed quantities, taking into...
Efficient application of nonlinear stationary operators in adaptive wavelet methods–the isotropic case
Efficient application of nonlinear stationary operators in adaptive wavelet methods–the isotropic case
2013,
This paper deals with the efficient application of nonlinear operators in wavelet...
Cell decomposition of almost smooth real algebraic surfaces
Cell decomposition of almost smooth real algebraic surfaces
2013,
Let Z be a two dimensional irreducible complex component of the solution set of a...
Spectral Galerkin method and its application to a Cauchy problem of Helmholtz equation
Spectral Galerkin method and its application to a Cauchy problem of Helmholtz equation
2013,
Based on a mathematical model of laser beams, we present a spectral Galerkin method...
Block hybrid method using trigonometric basis for initial value problems with oscillating solutions
Block hybrid method using trigonometric basis for initial value problems with oscillating solutions
2013,
A continuous hybrid method using trigonometric basis (CHMTB) with one...
Large‐scale Stein and Lyapunov equations, Smith method, and applications
Large‐scale Stein and Lyapunov equations, Smith method, and applications
2013,
We consider the solution of large‐scale Lyapunov and Stein equations. For Stein...
A computational study of the weak Galerkin method for second‐order elliptic equations
A computational study of the weak Galerkin method for second‐order elliptic equations
2013,
The weak Galerkin finite element method is a novel numerical method that was first...
Sinc‐Galerkin method for numerical solution of the Bratu’s problems
Sinc‐Galerkin method for numerical solution of the Bratu’s problems
2013,
Study of the performance of the Galerkin method using sinc basis functions for solving...
Trigonometrically fitted block Numerov type method for y″=f(x, y, y')
Trigonometrically fitted block Numerov type method for y″=f(x, y, y')
2013,
A trigonometrically fitted block Numerov type method (TBNM), is proposed for solving y...
Splitting extrapolation algorithms for solving the boundary integral equations of anisotropic Darcy’s equation on polygons by mechanical quadrature methods
Splitting extrapolation algorithms for solving the boundary integral equations of anisotropic Darcy’s equation on polygons by mechanical quadrature methods
2013,
In this paper we study the stability and convergence of the solution for the first...
Modulus‐based synchronous two‐stage multisplitting iteration methods for linear complementarity problems
Modulus‐based synchronous two‐stage multisplitting iteration methods for linear complementarity problems
2013,
In order to solve large sparse linear complementarity problems on parallel...
Nonsingularity of FB system and constraint nondegeneracy in semidefinite programming
Nonsingularity of FB system and constraint nondegeneracy in semidefinite programming
2013,
For a KKT point of the linear semidefinite programming (SDP), we show that the...
A Runge–Kutta type scheme for nonlinear stochastic partial differential equations with multiplicative trace class noise
A Runge–Kutta type scheme for nonlinear stochastic partial differential equations with multiplicative trace class noise
2013,
In this paper a new Runge–Kutta type scheme is introduced for nonlinear...
Efficient handling of complex shift parameters in the low‐rank Cholesky factor ADI method
Efficient handling of complex shift parameters in the low‐rank Cholesky factor ADI method
2013,
The solution of large‐scale Lyapunov equations is a crucial problem for several...
Estimating upper bounds on the limit points of majorizing sequences for Newton’s method
Estimating upper bounds on the limit points of majorizing sequences for Newton’s method
2013,
We present new sufficient conditions for the semilocal convergence of Newton’s...
High order explicit Runge–Kutta Nyström pairs
High order explicit Runge–Kutta Nyström pairs
2013,
Explicit Runge–Kutta Nyström pairs provide an efficient way to find...
Nonmonotone spectral method for large‐scale symmetric nonlinear equations
Nonmonotone spectral method for large‐scale symmetric nonlinear equations
2013,
In this paper, by the use of the residual vector and an approximation to the steepest...
On an Aitken–Newton type method
On an Aitken–Newton type method
2013,
We study the solving of nonlinear equations by an iterative method of Aitken type,...
An algorithm for computing the eigenvalues of block companion matrices
An algorithm for computing the eigenvalues of block companion matrices
2013,
In this paper we propose a method for computing the roots of a monic matrix...
Complexity analysis and numerical implementation of primal‐dual interior‐point methods for convex quadratic optimization based on a finite barrier
Complexity analysis and numerical implementation of primal‐dual interior‐point methods for convex quadratic optimization based on a finite barrier
2013,
In this paper, we present primal‐dual interior‐point methods for convex...
An efficient fourth order weighted‐Newton method for systems of nonlinear equations
An efficient fourth order weighted‐Newton method for systems of nonlinear equations
2013,
In this paper, we develop a fourth order method for solving the systems of nonlinear...
A trigonometric integrator pseudospectral discretization for the N‐coupled nonlinear Klein–Gordon equations
A trigonometric integrator pseudospectral discretization for the N‐coupled nonlinear Klein–Gordon equations
2013,
A scheme, stemming from the use of pseudospectral approximations to spatial...
Optimal homotopy analysis method for nonlinear differential equations in the boundary layer
Optimal homotopy analysis method for nonlinear differential equations in the boundary layer
2013,
Optimal homotopy analysis method is a powerful tool for nonlinear differential...
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