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Displaying 461 – 480 of 568

Convergence of Rothe's method in Hölder spaces

Norio Kikuchi, Jozef Kačur (2003)

Applications of Mathematics

The convergence of Rothe’s method in Hölder spaces is discussed. The obtained results are based on uniform boundedness of Rothe’s approximate solutions in Hölder spaces recently achieved by the first author. The convergence and its rate are derived inside a parabolic cylinder assuming an additional compatibility conditions.

Convergence of Rump's method for computing the Moore-Penrose inverse

Yunkun Chen, Xinghua Shi, Yi Min Wei (2016)

Czechoslovak Mathematical Journal

We extend Rump's verified method (S. Oishi, K. Tanabe, T. Ogita, S. M. Rump (2007)) for computing the inverse of extremely ill-conditioned square matrices to computing the Moore-Penrose inverse of extremely ill-conditioned rectangular matrices with full column (row) rank. We establish the convergence of our numerical verified method for computing the Moore-Penrose inverse. We also discuss the rank-deficient case and test some ill-conditioned examples. We provide our Matlab codes for computing the...

Convergence of sequential and asynchronous nonlinear paracontractions.

L. Elsner, M. Neumann, I. Koltracht (1992)

Numerische Mathematik

Convergence of some adaptive FEM-BEM coupling for elliptic but possibly nonlinear interface problems

Markus Aurada, Michael Feischl, Dirk Praetorius (2012)

ESAIM: Mathematical Modelling and Numerical Analysis

We consider the symmetric FEM-BEM coupling for the numerical solution of a (nonlinear) interface problem for the 2D Laplacian. We introduce some new a posteriori error estimators based on the (h − h/2)-error estimation strategy. In particular, these include the approximation error for the boundary data, which allows to work with discrete boundary integral operators only. Using the concept of estimator reduction, we prove that the proposed adaptive...

Convergence of some adaptive FEM-BEM coupling for elliptic but possibly nonlinear interface problems

Markus Aurada, Michael Feischl, Dirk Praetorius (2012)

ESAIM: Mathematical Modelling and Numerical Analysis

Convergence of Stirling's Method in Banach Spaces.

L.B. Rall (1975)

Aequationes mathematicae

Convergence of the accelerated overrelaxation method

Dragoslav Herceg, Ljiljana Cvetković (1989)

Aplikace matematiky

The convergence of the Accelerated Overrelaxation (AOR) method is discussed. It is shown that the intervals of convergence for the parameters $σ$ and $ω$ are not always of the following form: $0 \leq ω \leq ω_{1}, - σ_{1} \leq σ \leq σ_{2}, σ_{1}, σ_{2} \geq 0$ .

Convergence of the Arithmetic-Geometric Mean Procedure for the Complex Variables and the Calculation of the Complete Elliptic Integrals with Complex Modulus.

Tohru Morita, Tsuyoshi Horiguchi (1972/1973)

Numerische Mathematik

Convergence of the finite element method applied to an anisotropic phase-field model

Erik Burman, Daniel Kessler, Jacques Rappaz (2004)

Annales mathématiques Blaise Pascal

We formulate a finite element method for the computation of solutions to an anisotropic phase-field model for a binary alloy. Convergence is proved in the $H^{1}$ -norm. The convergence result holds for anisotropy below a certain threshold value. We present some numerical experiments verifying the theoretical results. For anisotropy below the threshold value we observe optimal order convergence, whereas in the case where the anisotropy is strong the numerical solution to the phase-field equation does not...

Convergence of the Lambert-McLeod Trajectory Solver and of the Celf Method.

J.M. Sanz-Serna (1984)

Numerische Mathematik

Convergence of the matrix transformation method for the finite difference approximation of fractional order diffusion problems

Béla J. Szekeres, Ferenc Izsák (2017)

Applications of Mathematics

Numerical solution of fractional order diffusion problems with homogeneous Dirichlet boundary conditions is investigated on a square domain. An appropriate extension is applied to have a well-posed problem on $ℝ^{2}$ and the solution on the square is regarded as a localization. For the numerical approximation a finite difference method is applied combined with the matrix transformation method. Here the discrete fractional Laplacian is approximated with a matrix power instead of computing the complicated...

Convergence of the Multigrid Full Approximation Scheme for a Class of Elliptic Mildly Nonlinear Boundary Value Problems.

Arnold Reusken (1987/1988)

Numerische Mathematik

Convergence of the Multilevel Full Approximation Scheme including the V-Cycle.

Arnold Reusken (1988)

Numerische Mathematik

Convergence of the Nonconforming Wilson Element for Arbitrary Quadrilateral Meshes.

P. Lesaint, M. Zlámal (1980/1981)

Numerische Mathematik

Convergence of the shifted QR algorithm on 3 x 3 normal matrices.

Steve Batterson (1990/1991)

Numerische Mathematik

Convergence of the time-discretized monotonic schemes

Julien Salomon (2007)

ESAIM: Mathematical Modelling and Numerical Analysis

Many numerical simulations in (bilinear) quantum control use the monotonically convergent Krotov algorithms (introduced by Tannor et al. [Time Dependent Quantum Molecular Dynamics (1992) 347–360]), Zhu and Rabitz [J. Chem. Phys. (1998) 385–391] or their unified form described in Maday and Turinici [J. Chem. Phys. (2003) 8191–8196]. In Maday et al. [Num. Math. (2006) 323–338], a time discretization which preserves the property of monotonicity has been presented. This paper introduces a proof of...

Currently displaying 461 – 480 of 568

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Displaying 461 – 480 of 568

Convergence of Rothe's method in Hölder spaces

Convergence of Rump's method for computing the Moore-Penrose inverse

Convergence of sequential and asynchronous nonlinear paracontractions.

Convergence of some adaptive FEM-BEM coupling for elliptic but possibly nonlinear interface problems

Convergence of some adaptive FEM-BEM coupling for elliptic but possibly nonlinear interface problems

Convergence of Stirling's Method in Banach Spaces.

Convergence of the accelerated overrelaxation method

Convergence of the Arithmetic-Geometric Mean Procedure for the Complex Variables and the Calculation of the Complete Elliptic Integrals with Complex Modulus.

Convergence of the finite element method applied to an anisotropic phase-field model

Convergence of the Lambert-McLeod Trajectory Solver and of the Celf Method.

Convergence of the matrix transformation method for the finite difference approximation of fractional order diffusion problems

Convergence of the Multigrid Full Approximation Scheme for a Class of Elliptic Mildly Nonlinear Boundary Value Problems.

Convergence of the Multilevel Full Approximation Scheme including the V-Cycle.

Convergence of the Nonconforming Wilson Element for Arbitrary Quadrilateral Meshes.

Convergence of the shifted QR algorithm on 3 x 3 normal matrices.

Convergence of the time-discretized monotonic schemes

Convergence of Two-Dimensional Nyström Discrete-Ordinates in Solving the Linear Transport Equation.

Convergence of $V$ -cycle and $F$ -cycle multigrid methods for the biharmonic problem using the Morley element.

Convergence optimale de l'algorithme de «réallocation-recentrage» dans le cas continu le plus simple

Convergence Proofs and Error Estimates for an Iterative Method for Conformal Mapping.

Currently displaying 461 – 480 of 568