Results 271 to 280 of about 55,209 (306)

On Implicit Ordinary Differential Equations

IMA Journal of Numerical Analysis, 1984
A geometric analysis of the problem \(f(x,y,y')=0\) is given which may be of value in developing numerical methods for solution near the singular points where \(fy'=0\). In particular, the approach here shows problems of switching branches when computing numerically a solution near an envelope, as noted by \textit{L. Fox} and \textit{D. F.
A. JEPSON, A. SPENCE
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An implicit wave equation model for the shallow water equations

Advances in Water Resources, 1984
In this paper an implicit numerical solution procedure for the shallow water equations is presented. It achieves efficiency through replacement of decompositions of a time-varying matrix by back substitutions for the solution of the equation system.
Ingemar P. E. Kinnmark, William G. Gray
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Quadratures for Implicit Differential Equations

SIAM Journal on Numerical Analysis, 1970
Quadrature methods are used to obtain numerical solutions of certain systems of implicit differential equations. Development of the methods leads to an extension of an existence theorem for implicit differential equations. Several examples indicate the range of application of the methods.
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Implicit methods for implicit differential equations

1969
Quadrature methods are used to obtain numerical solutions of certain systems of implicit differential equations. Several examples indicate the range of application of the methods.
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STABILITY RADII FOR IMPLICIT DIFFERENCE EQUATIONS

Asian-European Journal of Mathematics, 2009
This paper is concerned with a formula of stability radii for a linear implicit difference equation (LIDEs for short) varying in time with index-1 under structured parameter perturbations. It is shown that the lp-real and complex stability radii of these systems coincide and they are given by a formula of input-output operators.
Rodjanadid, Benjawan, Nguyen Van Sanh, Nguyen Thu Ha, Nguyen Huu Du   +3 more
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Implicit Degenerate Evolution Equations and Applications

SIAM Journal on Mathematical Analysis, 1981
The initial-value problem is studied for evolution equations in Hilbert space of the general form d se(u)+N(u) l:, dt where and are maximal monotone operators. Existence of a solution is proved when1 is a subgradient and either is strongly monotone or 9 is coercive; existence is established also in the case where 1 is strongly monotone and is ...
DiBenedetto, Emmanuele, Showalter, R. E.
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Implicit boundary equations for conservative Navier–Stokes equations

Journal of Computational Physics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Implicit function theorems for generalized equations

Mathematical Programming, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Fully Implicit Method for Lattice Boltzmann Equations

SIAM Journal on Scientific Computing, 2015
Summary: Existing approaches for solving the lattice Boltzmann equations with finite difference methods are explicit and semi-implicit; both have certain stability constraints on the time step size. In this work, a fully implicit second-order finite difference scheme is developed. We focus on a parallel, highly scalable, Newton-Krylov-RAS algorithm for
Jizu Huang, Chao Yang 0002, Xiao-Chuan Cai   +2 more
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Computing Validated Solutions of Implicit Differential Equations

Advances in Computational Mathematics, 2003
The authors study the numerical analysis of Taylor model methods to solve explicit and implicit ordinary differential equations including validation. The proposed methods rewrite the original problem first as an integro-differential equation and, finally, as fixed-point problem in an appropriate function space. The validation of the result then appears
Jens Hoefkens, Martin Berz, Kyoko Makino
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