Results 21 to 30 of about 289 (157)
The adaptive finite element method for the Steklov eigenvalue problem in inverse scattering
Open Mathematics, 2020 In this study, for the first time, we discuss the posteriori error estimates and adaptive algorithm for the non-self-adjoint Steklov eigenvalue problem in inverse scattering.
Zhang Yu, Bi Hai, Yang Yidu
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Stable finite element methods for the Stokes problem
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 10, Page 699-714, 2000., 2000 The mixed finite element scheme of the Stokes problem with pressure stabilization is analyzed for the cross‐grid Pk − Pk−1elements, k ≥ 1, using discontinuous pressures. The Pk+−Pk−1 elements are also analyzed. We prove the stability of the scheme using the macroelement technique.
Yongdeok Kim, Sungyun Lee
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Finite difference approximations for a class of non‐local parabolic equations
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 1, Page 147-163, 1997., 1997 In this paper we study finite difference procedures for a class of parabolic equations with non‐local boundary condition. The semi‐implicit and fully implicit backward Euler schemes are studied. It is proved that both schemes preserve the maximum principle and monotonicity of the solution of the original equation, and fully‐implicit scheme also ...
Yanping Lin, Shuzhan Xu, Hong-Ming Yin
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A note on quasi‐monotone operators
International Journal of Mathematics and Mathematical Sciences, Volume 10, Issue 1, Page 203-204, 1987., 1987 The treatment of nonlinear problems using a general framework is often a delicate issue. This is illustrated by the fact that the quasi‐monotone operators of M. A. Noor are constant operators.
S. S. Chow
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International Journal of Mathematics and Mathematical Sciences, Volume 10, Issue 2, Page 345-360, 1987., 1987 Optimal error estimates in L2, H1 and H2‐norm are established for a single phase Stefan problem with quasilinear parabolic equation in non‐divergence form by an H1‐Galerkin procedure.
A. K. Pani, P. C. Das
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Numerical methods for Lévy processes
, 2009 Multidimensional Lévy processes, Numerical methods, Asset pricing, 60J75, 65N06, 65N30, C63,
Reich, N. +7 more
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Simulation of continuously deforming parabolic problems by Galerkin finite‐elements method
International Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 3, Page 577-582, 1986., 1986 A general numerical finite element scheme is described for parabolic problems with phase change wherein the elements of the domain are allowed to deform continuously. The scheme is based on the Galerkin approximation in space, and finite difference approximation for the time derivatives.
Yahia S. Halabi
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A generalization on the solvability of integral geometry problems along plane curves [PDF]
, 2013 This paper is concerned with a general condition for the solvability of integral geometry problems along the plane curves of given curvatures. As two important results, the solvabilities of integral geometry problems along the family of circles with ...
Zekeriya Ustaoglu
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On singularities of capillary surfaces in the absence of gravity
International Journal of Mathematics and Mathematical Sciences, Volume 6, Issue 1, Page 81-87, 1983., 1983 We study numerical solutions to the equation of capillary surfaces in trapezoidal domains in the absence of gravity when the boundary contact angle declines from 90° to some critical value. We also discuss a result on the behavior of solutions in more general domains that confirms numerical calculations.
V. Roytburd
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International Journal of Mathematics and Mathematical Sciences, Volume 5, Issue 3, Page 585-594, 1982., 1982 Laminar natural convection flow and heat transfer of a viscous incompressible fluid confined between two long vertical wavy walls has been analysed taking the fluid properties constant and variable. In particular, attention is restricted to estimate the effects of viscous dissipation and wall waviness on the flow and heat transfer characteristics.
C. N. B. Rao, K. S. Sastri
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