An iterative procedure for the inversion of two-dimensional ion/photoelectron imaging experiments

2001 ◽  
Vol 72 (11) ◽  
pp. 4084-4089 ◽  
Author(s):  
Marc J. J. Vrakking
Keyword(s):  
Iterative Procedure ◽  
Two Dimensional ◽  
Photoelectron Imaging

The magneto-hydrodynamic boundary layer in the two-dimensional steady flow past a semi-infinite flat plate II. The Falkner-Skan problem

1963 ◽  
Vol 273 (1355) ◽  
pp. 509-517 ◽  
Keyword(s):  
Flat Plate ◽  
Iterative Procedure ◽  
Hypergeometric Functions ◽  
Close Agreement ◽  
Adverse Pressure Gradient ◽  
Iterative Solution ◽  
Two Dimensional ◽  
Confluent Hypergeometric Functions ◽  
First Case ◽  
Hydrodynamic Boundary Layer

The problem investigated is the flow of a viscous liquid past a semi-infinite flat plate against an adverse pressure gradient. The method used is an iterative method suggested in a paper by Weyl. To start the iterative procedure a function is chosen which satisfies some of the boundary conditions and by using this function the first iterative solution has been obtained analytically in terms of confluent hypergeometric functions. Two different starting functions have been considered. In the first case it has been found possible to compare the results obtained with the well-known Hartree numerical solution and even at the first iteration close agreement is achieved. In the second case, the first iterative solution behaves correctly at infinity but the agreement with Hartree ’s solution is not as good as it is in the first case.

An Adaptive Moving Mesh Method for Two-Dimensional Relativistic Hydrodynamics

2012 ◽  
Vol 11 (1) ◽  
pp. 114-146 ◽  
Author(s):  
Peng He ◽  
Huazhong Tang
Keyword(s):  
Iterative Procedure ◽  
Moving Mesh ◽  
Finite Volume Scheme ◽  
Relativistic Hydrodynamics ◽  
Two Dimensional ◽  
Moving Mesh Method ◽  
Governing Equations ◽  
Nonuniform Meshes ◽  
Mesh Method ◽  
Adaptive Moving Mesh Method

AbstractThis paper extends the adaptive moving mesh method developed by Tang and Tang [36] to two-dimensional (2D) relativistic hydrodynamic (RHD) equations. The algorithm consists of two “independent” parts: the time evolution of the RHD equations and the (static) mesh iteration redistribution. In the first part, the RHD equations are discretized by using a high resolution finite volume scheme on the fixed but nonuniform meshes without the full characteristic decomposition of the governing equations. The second part is an iterative procedure. In each iteration, the mesh points are first redistributed, and then the cell averages of the conservative variables are remapped onto the new mesh in a conservative way. Several numerical examples are given to demonstrate the accuracy and effectiveness of the proposed method.

scholarly journals Quadrature Rules and Iterative Method for Numerical Solution of Two-Dimensional Fuzzy Integral Equations

2014 ◽  
Vol 2014 ◽  
pp. 1-18 ◽  
Author(s):  
S. M. Sadatrasoul ◽  
R. Ezzati
Keyword(s):  
Integral Equations ◽  
Iterative Procedure ◽  
Numerical Experiments ◽  
Quadrature Rules ◽  
Fredholm Integral Equations ◽  
Fuzzy Integral ◽  
Two Dimensional ◽  
Henstock Integral ◽  
Uniform Modulus Of Continuity ◽  
Theoretical Results

We introduce some generalized quadrature rules to approximate two-dimensional, Henstock integral of fuzzy-number-valued functions. We also give error bounds for mappings of bounded variation in terms of uniform modulus of continuity. Moreover, we propose an iterative procedure based on quadrature formula to solve two-dimensional linear fuzzy Fredholm integral equations of the second kind (2DFFLIE2), and we present the error estimation of the proposed method. Finally, some numerical experiments confirm the theoretical results and illustrate the accuracy of the method.

Importance of Spin-Orbit Effects in Parity-Unfavored Photoionization of Neon, Observed Using a Two-Dimensional Photoelectron Imaging Technique

1998 ◽  
Vol 80 (23) ◽  
pp. 5085-5088 ◽  
Author(s):  
A. A. Wills ◽  
T. W. Gorczyca ◽  
N. Berrah ◽  
B. Langer ◽  
Z. Felfli ◽  
...  
Keyword(s):  
Imaging Technique ◽  
Spin Orbit ◽  
Two Dimensional ◽  
Photoelectron Imaging

scholarly journals Numerical Simulation of Fractional Zakharov–Kuznetsov Equation for Description of Temporal Discontinuity Using Projected Differential Transform Method

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Dianchen Lu ◽  
Muhammad Suleman ◽  
Jamshaid Ul Rahman ◽  
Samad Noeiaghdam ◽  
Ghulam Murtaza
Keyword(s):  
Iterative Procedure ◽  
Computational Procedure ◽  
Absolute Error ◽  
Two Dimensional ◽  
Transform Method ◽  
The Core ◽  
Temporal Discontinuity ◽  
Surface Plot ◽  
Differential Transform ◽  
Linear And Nonlinear

The core aim of this study is to propose a novel computational procedure, namely, Elzaki transform iterative method to work out two-dimensional nonlinear time-fractional Zakharov–Kuznetsov equation numerically. We execute the suggested iterative procedure on two models and results are presented graphically in the form of surface plot and absolute error is compared with the VIM and HPM to show that the method is more powerful than VIM and HPM and deduce that the offered numerical pattern is more efficient in simulating linear and nonlinear fractional order models.

Iterative procedure for designing two-dimensional FIR filters

1987 ◽  
Vol 23 (3) ◽  
pp. 131 ◽  
Author(s):  
A.E. Cetin ◽  
R. Ansari
Keyword(s):  
Iterative Procedure ◽  
Fir Filters ◽  
Two Dimensional

On the Stresses and Deflections of Rectangular Beams

1956 ◽  
Vol 23 (3) ◽  
pp. 339-342
Author(s):  
B. A. Boley ◽  
I. S. Tolins
Keyword(s):  
Elasticity Theory ◽  
Infinite Series ◽  
Timoshenko Beam ◽  
Iterative Procedure ◽  
Beam Theory ◽  
Timoshenko Beam Theory ◽  
Two Dimensional ◽  
Shear Forces ◽  
Strength Of Materials

Abstract The stresses and deflections in rectangular beams and bars are calculated from the two-dimensional elasticity theory by an iterative procedure previously derived. The loading consists of either normal or shear forces varying smoothly along the span. The results are obtained in the form of infinite series, whose first terms represent the elementary solutions of strength of materials; the accuracy of the Mc/I and P/A formulas can thus be estimated. A comparison with the Timoshenko beam theory is included.

Dynamic Analysis of Incompressible Viscous Liquids

1979 ◽  
Vol 46 (2) ◽  
pp. 281-284
Author(s):  
G. R. Johnson
Keyword(s):  
Sound Speed ◽  
Iterative Procedure ◽  
Time Dependent ◽  
Integration Time ◽  
Two Dimensional ◽  
Element Analysis ◽  
Viscous Liquids ◽  
Analysis Technique ◽  
Lagrangian Finite Element ◽  
Compressible Materials

A Lagrangian finite-element analysis technique is presented for two-dimensional plane strain problems involving time-dependent incompressible flow of viscous liquids. The incompressibility feature is obtained with an iterative procedure which adjusts the nodal velocities until the anticipated volumetric strains are within specified limits. By eliminating the compressibility, it is possible to determine the integration time increment from the rate of distortion, rather than the sound speed transit time, as is required with various numerical methods involving wave propagation in compressible materials. This paper includes the formulation of the numerical method and illustrative examples.

Spectrophotometric measurements of objective-prism spectra

1966 ◽  
Vol 24 ◽  
pp. 118-119
Author(s):  
Th. Schmidt-Kaler
Keyword(s):  
Progress Report ◽  
Two Dimensional ◽  
Objective Prism ◽  
Made In

I should like to give you a very condensed progress report on some spectrophotometric measurements of objective-prism spectra made in collaboration with H. Leicher at Bonn. The procedure used is almost completely automatic. The measurements are made with the help of a semi-automatic fully digitized registering microphotometer constructed by Hög-Hamburg. The reductions are carried out with the aid of a number of interconnected programmes written for the computer IBM 7090, beginning with the output of the photometer in the form of punched cards and ending with the printing-out of the final two-dimensional classifications.

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