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Error estimates for Galerkin finite element methods for the Camassa–Holm equation
Springer Science and Business Media LLC - Tập 142 - Trang 833-862 - 2019
D. C. Antonopoulos, V. A. Dougalis, D. E. Mitsotakis
We consider the Camassa–Holm (CH) equation, a nonlinear dispersive wave equation that models one-way propagation of long waves of moderately small amplitude. We discretize in space the periodic initial-value problem for CH (written in its original and in system form), using the standard Galerkin finite element method with smooth splines on a uniform mesh, and prove optimal-order ...... hiện toàn bộ
Stability analysis of $\theta$ -methods for neutral functional-differential equations
Springer Science and Business Media LLC - Tập 70 - Trang 473-485 - 1995
Yunkang Li
This paper deals with the subject of numerical stability for the neutral functional-differential equation $$ y'(t)=ay(t)+by(qt)+cy'(pt), \qquad t>0. $$ It is proved that numerical solutions generated by $\theta$ -methods are convergent if $|c|<1$ . However, our numerical experiment suggests...... hiện toàn bộ
Erratum to: Algorithms in unnormalized arithmetic. I. Recurrence relations
Springer Science and Business Media LLC - Tập 7 - Trang 354-354 - 1965
N. Metropolis
Splitting certain eigenvalue/eigenvector problems
Springer Science and Business Media LLC - Tập 8 Số 5 - Trang 412-421 - 1966
J. P. Ponstein
Reflections on value regions, limit regions and truncation errors for continued fractions
Springer Science and Business Media LLC - Tập 47 Số 2 - Trang 191-215 - 1985
Egil Rye, Haakon Waadeland
Ein Konstruktionsverfahren bei allgemeiner linearer Approximation
Springer Science and Business Media LLC - Tập 18 - Trang 113-126 - 1971
Eugen Schäfer
In order to solve the linear approximation problem the Remes-algorithm is quite suitable in case of a Haar subspace. Without this assumption one must modify the algorithm even to ensure the practicability (cf. [8]). In this paper, a modification, in some respect similar to that in [8], will be given which is always practicable and the convergence of which is proved, too. The relation to the Remes-...... hiện toàn bộ
Asymptotic convergence of spectral inverse iterations for stochastic eigenvalue problems
Springer Science and Business Media LLC - - 2019
Harri Hakula, Mikael Laaksonen
We consider and analyze applying a spectral inverse iteration algorithm and its subspace iteration variant for computing eigenpairs of an elliptic operator with random coefficients. With these iterative algorithms the solution is sought from a finite dimensional space formed as the tensor product of the approximation space for the underlying stochastic function space, and the approximation space f...... hiện toàn bộ
Pseudo-polyharmonic vectorial approximation for div-curl and elastic semi-norms
Springer Science and Business Media LLC - Tập 109 - Trang 333-364 - 2008
Mohammed-Najib Benbourhim, Abderrahman Bouhamidi
Vector field reconstruction is a problem arising in many scientific applications. In this paper, we study a div-curl approximation of vector fields by pseudo-polyharmonic splines. This leads to the variational smoothing and interpolating spline problems with minimization of an energy involving the curl and the divergence of the vector field. The relationship between the div-curl energy and elastic...... hiện toàn bộ
The ɛ-algorithm and multivariate Padé-approximants
Springer Science and Business Media LLC - Tập 40 - Trang 39-46 - 1982
Annie A. M. Cuyt
In the univariate case the ɛ-algorithm of Wynn is closely related to the Padé-table in the following sense: if we apply the ɛ-algorithm to the partial sums of the power series $$f(x) = \sum\limits_{i = 0}^\infty {c_i x^i } $$ then ε 2 − is the (l,...... hiện toàn bộ
A particle model of compressible fluids
Springer Science and Business Media LLC - Tập 76 - Trang 111-142 - 1997
Harry Yserentant
Fluid mechanics describes the motion of mass in space under the influence of internal and external forces. The particle model presented in this article is based on this fact. The fluid is subdivided into a finite number of small mass packets, the particles. These mass packets have a finite extension and share all properties with the fluid, except for the restriction that they cannot get deformed a...... hiện toàn bộ
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