Results 241 to 250 of about 2,628,231 (286)

Finite Difference Scheme

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, Octavio Betancourt, Paul Garabedian   +2 more
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Finite-Difference Schemes

2020
Due to its relative simplicity, finite-difference (FD) analysis was historically the first numerical technique for boundary value problems in mathematical physics.
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Stable Matching of Difference Schemes

SIAM Journal on Numerical Analysis, 1972
Approximations 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
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Multisplitting with Different Weighting Schemes

SIAM Journal on Matrix Analysis and Applications, 1989
Iterative 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.
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Weighted NND difference schemes

Communications in Nonlinear Science and Numerical Simulation, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Ruquan, Shen, Yiqing
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Weighted ENN difference schemes

Communications in Nonlinear Science and Numerical Simulation, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Ruquan, Shen, Yiqing
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Thermodynamically matched difference schemes

USSR Computational Mathematics and Mathematical Physics, 1989
Abstract 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.
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Regularization of difference schemes

USSR Computational Mathematics and Mathematical Physics, 1967
Abstract 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].
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Additive Operator-Difference Schemes

2013
Applied 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.
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Three-Level Difference Schemes

2002
Along with two-level difference schemes, three-level schemes are often also used to solve numerically non-stationary problems of mathematical physics. Such difference schemes are typical if we consider second-order evolution equations, one example of which is the equation of oscillations.
A. A. Samarskii, P. P. Matus, P. N. Vabishchevich   +2 more
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