Results 1 to 10 of about 1,262,805 (184)
Trefftz Difference Schemes on Irregular Stencils [PDF]
Journal of Computational Physics, 2009 The recently developed Flexible Local Approximation MEthod (FLAME) produces accurate difference schemes by replacing the usual Taylor expansion with Trefftz functions -- local solutions of the underlying differential equation.
Al Shenk +50 more
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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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On conjugate difference schemes: the midpoint scheme and the trapezoidal scheme
Discrete and Continuous Models and Applied Computational Science, 2021 The preservation of quadratic integrals on approximate solutions of autonomous systems of ordinary differential equations x=f(x), found by the trapezoidal scheme, is investigated.
Yu Ying, Mikhail D. Malykh
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On Monotonicity of Difference Schemes for Computational Physics [PDF]
SIAM Journal of Scientific Computing, 2004 Summary: Criteria are developed for monotonicity of linear as well as nonlinear difference schemes associated with the numerical analysis of systems of partial differential equations, integrodifferential equations, etc. Difference schemes are converted into variational forms that satisfy the boundary maximum principle and also allow the investigation ...
S Sorek
exaly +3 more sources
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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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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The Optimal Accuracy of Difference Schemes [PDF]
Transactions of the American Mathematical Society, 1983 We consider difference approximations to the model hyperbolic equation u t = u x {u_{t}} = {u_x} which compute each new value U ( x , t + Δ
Iserles, Arieh, Strang, Gilbert
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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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