Results 1 to 10 of about 1,256,496 (287)
Coefficient stability of operator–difference schemes
Mathematical Modelling and Analysis, 1999 A priori estimates expressing continuous dependence of the solution of a first order evolutionary equation in Hubert space on initial condition, right hand side and operator perturbations are obtained in time–integral norms.
P. P. Matus, B. S. Jovanović
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Trefftz difference schemes on irregular stencils [PDF]
Journal of Computational Physics, 2010 28 pages, 12 figures; to be published in J Comp ...
Al Shenk +50 more
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On differential approximations of difference schemes [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 The concept of the first differential approximation was introduced in the 1950s for the analysis of difference schemes by A. I. Zhukov and then was used to study the quality of difference schemes approximating equations in partial derivatives.
Blinkov, Yuri Anatolievich +2 more
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Numerical algorithm for solving parabolic identification problem with mixed boundary condition [PDF]
E-Journal of Analysis and Applied Mathematics, 2023 A source identification problem for a parabolic equation with mixed boundary condition is studied. Stability estimates for the solution of identification problem with mixed boundary conditions are obtained.
Charyyar Ashyralyyev +1 more
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Generalized finite-difference schemes [PDF]
Mathematics of Computation, 1969 Finite-difference schemes for initial boundary-value problems for partial differential equations lead to systems of equations which must be solved at each time step. Other methods also lead to systems of equations. We call a method a generalized finite-difference scheme if the matrix of coefficients of the system is sparse.
Swartz, B., Wendroff, B.
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Recursive finite-difference Lattice Boltzmann schemes [PDF]
Computers & Mathematics with Applications, 2021 The motivation of this study is twofold. First, a recursive mathematical formulation of the discrete-velocity Boltzmann equation (DVBE) under the Bhatnagar-Gross-Krook (BGK) approximation is introduced. This formulation allows us to formally express the solution of the DVBE as an infinite sum over successive particle derivatives of the distributions ...
Vienne, Lucien, Lévêque, Emmanuel
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Учёные записки Казанского университета: Серия Физико-математические науки, 2021 This work is devoted to the study of the convergence of an implicit difference scheme for a one-dimensional initial-boundary problem that simulates the process of filtration consolidation with a limiting gradient.
V.L. Gnedenkova, M.F. Pavlova, E.V. Rung
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Finite difference schemes with monotone operators
Advances in Difference Equations, 2004 Several existence theorems are given for some second-order difference equations associated with maximal monotone operators in Hilbert spaces. Boundary conditions of monotone type are attached.
N. C. Apreutesei
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Homogeneous Difference Schemes [PDF]
USSR Computational Mathematics and Mathematical Physics, 2001 Abstract Homogeneous difference schemes, suitable for transforming differential equations whose coefficients belong to certain classes of function into difference equations, are defined and discussed. The main points which arise are, first, whether the solution of the resulting difference equation converges to that of the original differential ...
Tikhonov, A. N., Samarskiĭ, A. A.
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CREATION AND EVALUATION OF THE STRUCTURES GRID IN CURVILINEAR AREAS
Вестник КазНУ. Серия математика, механика, информатика, 2021 The article concerns methods of a structural curvilinear grid constructing in areas of geometrically complex shape and its evaluation from the quality point of view. Equidistribution methods based on differential equations were used to construct the grid
L. N. Temirbekova, E. A. Malgazhdarov
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