Journal: Numerical Algorithms

Found 192 papers in total
On computing quadrature‐based bounds for the A‐norm of the error in conjugate gradients
On computing quadrature‐based bounds for the A‐norm of the error in conjugate gradients
2013,
In their original paper, Golub and Meurant (BIT 37:687–705, 1997) suggest to...
A finite difference method for an anomalous sub‐diffusion equation, theory and applications
A finite difference method for an anomalous sub‐diffusion equation, theory and applications
2012,
The numerical solution for a class of fractional sub‐diffusion equations is...
Computation of the canonical polynomials and applications to some optimal control problems
Computation of the canonical polynomials and applications to some optimal control problems
2012,
The Tau method is a numerical technique that consists in constructing polynomial...
Modified Chebyshev‐Halley type method and its variants for computing multiple roots
Modified Chebyshev‐Halley type method and its variants for computing multiple roots
2012,
We present two families of third order methods for finding multiple roots of nonlinear...
Parameter‐uniform numerical methods for some singularly perturbed nonlinear initial value problems
Parameter‐uniform numerical methods for some singularly perturbed nonlinear initial value problems
2012,
Parameter‐uniform numerical methods for singularly perturbed nonlinear scalar...
Control of error in the homotopy analysis of semi‐linear elliptic boundary value problems
Control of error in the homotopy analysis of semi‐linear elliptic boundary value problems
2012,
In the present paper, we have considered three methods with which to control the error...
Reciprocal polynomial extrapolation vs Richardson extrapolation for singular perturbed boundary problems
Reciprocal polynomial extrapolation vs Richardson extrapolation for singular perturbed boundary problems
2012,
The reciprocal polynomial extrapolation was introduced in Amat et al. (2004), where...
Sub‐range Jacobi polynomials
Sub‐range Jacobi polynomials
2012,
Orthogonal polynomials relative to the Jacobi weight function, but orthogonal on a...
Primal‐dual interior‐point algorithm for semidefinite optimization based on a new kernel function with trigonometric barrier term
Primal‐dual interior‐point algorithm for semidefinite optimization based on a new kernel function with trigonometric barrier term
2012,
In this paper we propose primal‐dual interior‐point algorithms for...
Coiflet–Galerkin method for solving second order BVPs with variable coefficients in three dimensions
Coiflet–Galerkin method for solving second order BVPs with variable coefficients in three dimensions
2012,
Three dimensional BVPs with variable coefficients, need to evaluate a lot of complex...
An algorithm for second order initial and boundary value problems with an automatic error estimate based on a third derivative method
An algorithm for second order initial and boundary value problems with an automatic error estimate based on a third derivative method
2012,
A third derivative method (TDM) with continuous coefficients is derived and used to...
A parallel algorithm based on convexity for the computing of Delaunay tessellation
A parallel algorithm based on convexity for the computing of Delaunay tessellation
2012,
The paper describes a parallel algorithm for computing an n ‐dimensional...
An adaptive algorithm for the Thomas–Fermi equation
An adaptive algorithm for the Thomas–Fermi equation
2012,
A free boundary value problem is introduced to approximate the original...
Quadratic spline solution for boundary value problem of fractional order
Quadratic spline solution for boundary value problem of fractional order
2012,
Fractional differential equations are widely applied in physics, chemistry as well as...
A more accurate Briggs method for the logarithm
A more accurate Briggs method for the logarithm
2012,
A new approach for computing an expression of the form a 1 / 2 k − 1 is...
Efficient calculation of the worst‐case error and (fast) component‐by‐component construction of higher order polynomial lattice rules
Efficient calculation of the worst‐case error and (fast) component‐by‐component construction of higher order polynomial lattice rules
2012,
We show how to obtain a fast component‐by‐component construction...
A new Tikhonov regularization method
A new Tikhonov regularization method
2012,
The numerical solution of linear discrete ill‐posed problems typically requires...
Acceleration of generalized hypergeometric functions through precise remainder asymptotics
Acceleration of generalized hypergeometric functions through precise remainder asymptotics
2012,
We express the asymptotics of the remainders of the partial sums { s n } of the...
Subquadrature expansions for TSRK methods
Subquadrature expansions for TSRK methods
2012,
The representation of order conditions for general linear methods formulated using an...
Adapted Falkner‐type methods solving oscillatory second‐order differential equations
Adapted Falkner‐type methods solving oscillatory second‐order differential equations
2013,
The classical Falkner methods (Falkner, Phil Mag S 7:621, 1936) are well‐known...
Convergence analysis of high‐order compact alternating direction implicit schemes for the two‐dimensional time fractional diffusion equation
Convergence analysis of high‐order compact alternating direction implicit schemes for the two‐dimensional time fractional diffusion equation
2013,
High‐order compact finite difference method with operator‐splitting...
Solving a parabolic PDE with nonlocal boundary conditions using the Sinc method
Solving a parabolic PDE with nonlocal boundary conditions using the Sinc method
2013,
In this paper, the problem of solving the parabolic partial differential equations...
A family of Steffensen type methods with seventh‐order convergence
A family of Steffensen type methods with seventh‐order convergence
2013,
In this paper, based on some known fourth‐order Steffensen type methods, we...
A collocation method for the numerical solution of a two dimensional integral equation using a quadratic spline quasi‐interpolant
A collocation method for the numerical solution of a two dimensional integral equation using a quadratic spline quasi‐interpolant
2013,
In this paper, we propose an interesting method for approximating the solution of a...
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