Results 241 to 250 of about 1,256,496 (287)
Some of the next articles are maybe not open access.
1994
Let us consider the problem of approximating the function e-z near z = 0 by rational functions $$ \begin{gathered} R_{j,l} (z) = \frac{{P_{j,l} (z)}} {{Q_{j,l} (z)}} = \frac{{a_0 + a_1 z + ... + a_j z^j }} {{}}, \hfill \\ a_r = a_r (j,l),r = 1...j,b_r = b_r (j,l),r = 1...,l,a_j \ne 0,b_l \ne 0,b_0 \ne 0. \hfill \\ \end{gathered} $$
A. Ashyralyev, P. E. Sobolevskii
openaire +1 more source
Let us consider the problem of approximating the function e-z near z = 0 by rational functions $$ \begin{gathered} R_{j,l} (z) = \frac{{P_{j,l} (z)}} {{Q_{j,l} (z)}} = \frac{{a_0 + a_1 z + ... + a_j z^j }} {{}}, \hfill \\ a_r = a_r (j,l),r = 1...j,b_r = b_r (j,l),r = 1...,l,a_j \ne 0,b_l \ne 0,b_0 \ne 0. \hfill \\ \end{gathered} $$
A. Ashyralyev, P. E. Sobolevskii
openaire +1 more source
1984
To arrive at finite difference equations modeling magnetohydrodynamic equilibrium we use a technique that is motivated by the finite element method [3]. First we develop a second order accurate numerical quadrature formula for the Hamiltonian E based on a rectangular grid of mesh points over a unit cube of the space with coordinates s, u and v.
Frances Bauer +2 more
openaire +1 more source
To arrive at finite difference equations modeling magnetohydrodynamic equilibrium we use a technique that is motivated by the finite element method [3]. First we develop a second order accurate numerical quadrature formula for the Hamiltonian E based on a rectangular grid of mesh points over a unit cube of the space with coordinates s, u and v.
Frances Bauer +2 more
openaire +1 more source
2020
Due to its relative simplicity, finite-difference (FD) analysis was historically the first numerical technique for boundary value problems in mathematical physics.
openaire +1 more source
Due to its relative simplicity, finite-difference (FD) analysis was historically the first numerical technique for boundary value problems in mathematical physics.
openaire +1 more source
Stable Matching of Difference Schemes
SIAM Journal on Numerical Analysis, 1972Approximations that result from the natural matching of two stable dissipative difference schemes across a coordinate line are shown to be stable. The basic idea is to reformulate the matching scheme consistent to an equivalent initial boundary value problem and to verify the algebraic conditions for stability of such systems. An interesting comparison
openaire +2 more sources
Multisplitting with Different Weighting Schemes
SIAM Journal on Matrix Analysis and Applications, 1989Iterative methods for approximating the solution of a linear algebraic system \(Ax=b\) are considered. A multisplitting of the matrix A is a sequence of splittings of the form \(A=B-C\), where B is nonsingular. When coupled with weighting diagonal matrices one can form a parallel algorithm.
openaire +1 more source
Weighted NND difference schemes
Communications in Nonlinear Science and Numerical Simulation, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Ruquan, Shen, Yiqing
openaire +1 more source
Weighted ENN difference schemes
Communications in Nonlinear Science and Numerical Simulation, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Ruquan, Shen, Yiqing
openaire +2 more sources
Thermodynamically matched difference schemes
USSR Computational Mathematics and Mathematical Physics, 1989Abstract A class of difference schemes which approximate the system of one-dimensional non-stationary equations of gas dynamics in Lagrange mass variables is considered. The homogeneous difference schemes satisfy the scheme matching principle and the equation of state of an ideal gas.
openaire +1 more source
Regularization of difference schemes
USSR Computational Mathematics and Mathematical Physics, 1967Abstract WE examine the possibilities of transforming or regularizing schemes in such a way that the new schemes are stable and satisfy auxiliary requirements as regards accuracy and economy. Difference schemes are treated as operator equations in real linear normed space [1, 2].
openaire +2 more sources
Additive Operator-Difference Schemes
2013Applied mathematical modeling is concerned with solving unsteady problems. Splitting schemes are attributed to the transition from a complex problem to a chain of simpler problems. This book shows how to construct additive difference schemes (splitting schemes) to solve approximately unsteady multi-dimensional problems for PDEs.
openaire +1 more source