Numerical Algorithms
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Coiflets solutions for Föppl-von Kármán equations governing large deflection of a thin flat plate by a novel wavelet-homotopy approach
Numerical Algorithms - Tập 79 - Trang 993-1020 - 2018
In this paper, a novel technique incorporated the homotopy analysis method (HAM)
with Coiflets is developed to obtain highly accurate solutions of the Föppl-von
Kármán equations for large bending deflection. The characteristic scale
transformation is introduced to nondimensionalize the governing equations. The
results are obtained for the transformed nondimensional equations, which are in
very exc...
Nonnegative surface fitting with Powell-Sabin splines
Numerical Algorithms - Tập 9 Số 2 - Trang 263-276 - 1995
On a nonlinear multigrid algorithm with primal relaxation for the image total variation minimisation
Numerical Algorithms - - 2006
Error bounds for septic Hermite interpolation and its implementation to study modified Burgers’ equation
Numerical Algorithms - - 2022
Circumcentering the Douglas–Rachford method
Numerical Algorithms - Tập 78 - Trang 759-776 - 2017
We introduce and study a geometric modification of the Douglas–Rachford method
called the Circumcentered–Douglas–Rachford method. This method iterates by
taking the intersection of bisectors of reflection steps for solving certain
classes of feasibility problems. The convergence analysis is established for
best approximation problems involving two (affine) subspaces and both our
theoretical and nu...
Additive block diagonal preconditioning for block two-by-two linear systems of skew-Hamiltonian coefficient matrices
Numerical Algorithms - Tập 62 - Trang 655-675 - 2013
For a class of block two-by-two systems of linear equations with certain
skew-Hamiltonian coefficient matrices, we construct additive block diagonal
preconditioning matrices and discuss the eigen-properties of the corresponding
preconditioned matrices. The additive block diagonal preconditioners can be
employed to accelerate the convergence rates of Krylov subspace iteration
methods such as MINRES...
Stabilized finite element method for the viscoelastic Oldroyd fluid flows
Numerical Algorithms - Tập 60 Số 1 - Trang 75-100 - 2012
Fast and Accurate Floating Point Summation with Application to Computational Geometry
Numerical Algorithms - Tập 37 - Trang 101-112 - 2004
We present several simple algorithms for accurately computing the sum of n
floating point numbers using a wider accumulator. Let f and F be the number of
significant bits in the summands and the accumulator, respectively. Then
assuming gradual underflow, no overflow, and round-to-nearest arithmetic, up to
⌊2 F−f /(1−2−f )⌋+1 numbers can be accurately added by just summing the terms in
decreasing o...
High-precision Gauss–Turán quadrature rules for Laguerre and Hermite weight functions
Numerical Algorithms - Tập 67 - Trang 59-72 - 2013
Procedures and corresponding Matlab software are presented for generating
Gauss–Turán quadrature rules for the Laguerre and Hermite weight functions to
arbitrarily high accuracy. The focus is on the solution of certain systems of
nonlinear equations for implicitly defined recurrence coefficients. This is
accomplished by the Newton–Kantorovich method, using initial approximations that
are sufficien...
Implicit QR algorithms for palindromic and even eigenvalue problems
Numerical Algorithms - Tập 51 - Trang 209-238 - 2008
In the spirit of the Hamiltonian QR algorithm and other bidirectional chasing
algorithms, a structure-preserving variant of the implicit QR algorithm for
palindromic eigenvalue problems is proposed. This new palindromic QR algorithm
is strongly backward stable and requires less operations than the standard QZ
algorithm, but is restricted to matrix classes where a preliminary reduction to
structure...
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