Results 241 to 250 of about 166,325,679 (283)
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Analysis of Convergence of Numerical Methods
1983In the previous chapter the basic principles of discretization of problems involving partial differential operators were outlined. The objective of this chapter is to describe the essential aspects of the theory of convergence of the resulting schemes.
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A numerical method for a converging cylindrical shock
Journal of Fluid Mechanics, 1957The finite difference method due to Lax (1954) is used to solve the equations of motion for a cylindrically symmetric flow of a compressible fluid. In particular, a converging cylindrical shock is found to increase in strength in agreement with the formula of Chisnell (1957).
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ON NUMERICAL ANALYTIC CONTINUATION AND CONVERGENCE ACCELERATION BY SUMMABILITY METHODS
Analysis, 1993The author gives an extension of the Borel-Perron-Okada theorem in the version of \textit{W. Gawronski} and \textit{R. Trautner} [Periodica Math. Hungar. 7, 201-211 (1976; Zbl 0351.40008)]. Furthermore, he applies this result to find test functions more effective than the geometric series.
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A numerical solution of the Klein–Gordon equation and convergence of the decomposition method
Applied Mathematics and Computation, 2004The authors use the Adomian decomposition method (ADM) for solving a nonlinear hyperbolic equation: the Klein-Gordon equation. The Adomian method allows to find the solution without discretization or linearization. The convergence is proved by using a result given by \textit{T. Mavoungou} and \textit{Y. Cherruault} [Kybernetes 21, No.
Dogan Kaya, Salah M. El-Sayed
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A Nonmonotone Filter SQP Method: Local Convergence and Numerical Results
SIAM Journal on Optimization, 2015Summary: The work [\textit{N. I. M. Gould} et al., SIAM J. Optim. 24, No. 1, 175--209 (2014; Zbl 1301.49070)] established global convergence of a new filter line search method for finding local first-order solutions to nonlinear and nonconvex constrained optimization problems.
Nicholas I. M. Gould +2 more
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Convergence and numerical results for a parallel asynchronous quasi-Newton method
Journal of Optimization Theory and Applications, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D. CONFORTI, MUSMANNO, Roberto
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Convergence of Numerical Inversion Methods for Discontinuous Impedance Profiles
SIAM Journal on Numerical Analysis, 1985Application of an impulse plane wave in pressure onto the surface of a piecewise smooth, stratified elastic half-space leads to the system of differential equations \(\zeta (x)w_ t+p_ x=0,\quad p_ t+\zeta (x)w_ x=0,\quad x\geq 0,\quad -\infty
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NUMERICAL STABILITY AND CONVERGENCE OF APPROXIMATE METHODS FOR CONSERVATION LAWS
International Journal of Modern Physics C, 1994We present the new approach to background of approximate methods convergence based on functional solutions theory for conservation laws. The applications to physical kinetics, gas and fluid dynamics are considered.
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Weak Convergence of a Numerical Method for a Stochastic Heat Equation
BIT Numerical Mathematics, 2003The author considers the weak convergence of a numerical method for a stochastic partial differential equation of the type of a heat equation. Space-time Brownian motion drives the heat equation. A finite difference discretisation in space and time is combined with a spectral approximation.
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The Effect of Discontinuities on the Order of Convergence of Numerical Inversion Methods
SIAM Journal on Scientific and Statistical Computing, 1988Some analysis and numerical evidence point to the fact that discretizations used in one-dimensional inverse problems of reflection seismology should fit the medium discontinuities if high order accuracy is desired. It is shown that for laterally homogeneous media for which discontinuities occur at off-mesh points, then only first order uniform accuracy
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