Journal: Numerical Algorithms

Found 192 papers in total
Rigorous high-precision computation of the Hurwitz zeta function and its derivatives
Rigorous high-precision computation of the Hurwitz zeta function and its derivatives
2015,
We study the use of the Euler‐Maclaurin formula to numerically evaluate the...
High order structure preserving explicit methods for solving linear-quadratic optimal control problems
High order structure preserving explicit methods for solving linear-quadratic optimal control problems
2015,
We consider the numerical integration of linear‐quadratic optimal control...
Lobatto IIIA methods, direct transcription, and DAEs with delays
Lobatto IIIA methods, direct transcription, and DAEs with delays
2015,
Recent results in the literature have shown that LobattoIIIA methods may have some...
Hybrid special class for solving differential-algebraic equations
Hybrid special class for solving differential-algebraic equations
2015,
This paper introduces three classes of hybrid methods to solve systems of differential...
Delay-dependent stability of symmetric boundary value methods for second order delay differential equations with three parameters
Delay-dependent stability of symmetric boundary value methods for second order delay differential equations with three parameters
2015,
This paper aims at the delay‐dependent stability analysis of symmetric boundary...
Comments on another hybrid conjugate gradient algorithm for unconstrained optimization by Andrei
Comments on another hybrid conjugate gradient algorithm for unconstrained optimization by Andrei
2015,
In this note, we show that there are some improvements in the proof of Theorem 2 and...
A simple moving mesh method for blowup problems
A simple moving mesh method for blowup problems
2015,
We develop a simple and efficient adaptive mesh generator for time‐dependent...
Fast construction of higher order digital nets for numerical integration in weighted Sobolev spaces
Fast construction of higher order digital nets for numerical integration in weighted Sobolev spaces
2015,
Higher order digital nets are special classes of point sets for quasi‐Monte...
An algorithm for decomposing a non-negative polynomial as a sum of squares of rational functions
An algorithm for decomposing a non-negative polynomial as a sum of squares of rational functions
2015,
This paper presents an algorithm for computing a decomposition of a...
A new constrained total variational deblurring model and its fast algorithm
A new constrained total variational deblurring model and its fast algorithm
2015,
Although image intensities are non‐negative quantities, imposing positivity is...
Always convergent iteration methods for nonlinear equations of Lipschitz functions
Always convergent iteration methods for nonlinear equations of Lipschitz functions
2015,
We define a class of always convergent methods for solving nonlinear equations of real...
Revisiting (k, l)-step methods
Revisiting (k, l)-step methods
2015,
In the mid-1980s Parsons (1987), and the author (Gutknecht, 1989) independently had...
Interpolation on the disk
Interpolation on the disk
2014,
Bivariate polynomials defined on the unit disk are used to reconstruct a wavefront...
On the incomplete oblique projections method for solving box constrained least squares problems
On the incomplete oblique projections method for solving box constrained least squares problems
2014,
The aim of this paper is to extend the applicability of the incomplete oblique...
Convergence for a family of modified Chebyshev methods under weak condition
Convergence for a family of modified Chebyshev methods under weak condition
2014,
In this paper, we focus on a family of modified Chebyshev methods and study the...
An inexact line search approach using modified nonmonotone strategy for unconstrained optimization
An inexact line search approach using modified nonmonotone strategy for unconstrained optimization
2014,
This paper concerns with a new nonmonotone strategy and its application to the line...
A novel approach to construct numerical methods for stochastic differential equations
A novel approach to construct numerical methods for stochastic differential equations
2014,
In this paper we propose a new numerical method for solving stochastic differential...
Fast solvers for discretized Navier-Stokes problems using vector extrapolation
Fast solvers for discretized Navier-Stokes problems using vector extrapolation
2014,
We discuss the design and implementation of a vector extrapolation method for...
Mauro Picone, Sandro Faedo, and the numerical solution of partial differential equations in Italy (1928‐1953)
Mauro Picone, Sandro Faedo, and the numerical solution of partial differential equations in Italy (1928‐1953)
2014,
In this paper we revisit the pioneering work on the numerical analysis of partial...
Order conditions for RKN methods solving general second-order oscillatory systems
Order conditions for RKN methods solving general second-order oscillatory systems
2014,
This paper proposes and investigates the multidimensional extended...
Numerical analysis of a high order method for state-dependent delay integral equations
Numerical analysis of a high order method for state-dependent delay integral equations
2014,
In this paper we study the piecewise collocation method for a class of functional...
Determination of optimal convergence‐control parameter value in homotopy analysis method
Determination of optimal convergence‐control parameter value in homotopy analysis method
2013,
In the framework of the Homotopy Analysis Method (HAM) the so‐called...
Uniform quadratic convergence of monotone iterates for nonlinear singularly perturbed parabolic problems
Uniform quadratic convergence of monotone iterates for nonlinear singularly perturbed parabolic problems
2013,
This paper deals with a monotone iterative method for solving nonlinear singularly...
Control of error in the homotopy analysis of solutions to the Zakharov system with dissipation
Control of error in the homotopy analysis of solutions to the Zakharov system with dissipation
2013,
We apply the method of homotopy analysis to the Zakharov system with dissipation in...
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