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Solution of FredholmHammerstein Integral Equations with WalshHybrid Functions
"... In this paper a numerical method for finding the solution of FredholmHammerstein integral equations is proposed. At first the properties of the Walshhybrid functions, which combination of blockpulse functions and Walsh functions are proposed. The properties of the hybrid functions with the opera ..."
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In this paper a numerical method for finding the solution of FredholmHammerstein integral equations is proposed. At first the properties of the Walshhybrid functions, which combination of blockpulse functions and Walsh functions are proposed. The properties of the hybrid functions
Application of the CAS Wavelet in Solving FredholmHammerstein Integral Equations of the Second Kind with Error Analysis 1
"... Abstract: In this paper, we present a computational method for solving FredholmHammerstein integral equations of the second kind. The method utilizes CAS wavelets constructed on the unit interval as basis in the Galerkin method and reduces the solution of the Hammerstein integral equation to the so ..."
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are presented to show the validity and efficiency of the technique. MSC: 45B05 • 45G10 • 65T60 Key words: FredholmHammerstein integral equation • CAS wavelet • error analysis • sparse matrix • nonlinear system of algebraic equation
Research Article Solution of the Nonlinear Mixed VolterraFredholm Integral Equations by Hybrid of BlockPulse Functions and Bernoulli Polynomials
"... Copyright © 2014 S. Mashayekhi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. A new numerical method for solving the nonlinea ..."
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the nonlinear mixed VolterraFredholm integral equations is presented. This method is based upon hybrid functions approximation. The properties of hybrid functions consisting of blockpulse functions and Bernoulli polynomials are presented.The operational matrices of integration and product are given
Solving an IntegroDifferential Equation by Legendre Polynomial and BlockPulse Functions
"... Proceedings, pp. 642—647 In this paper, hybrid Legendre BlockPulse functions are developed to find an approximate solution for an integrodifferential equation. Hybrid Legendre BlockPulse functions are developed by combining BlockPulse functions on [0, 1] and Legendre polynomials. By using this ..."
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Cited by 1 (0 self)
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Proceedings, pp. 642—647 In this paper, hybrid Legendre BlockPulse functions are developed to find an approximate solution for an integrodifferential equation. Hybrid Legendre BlockPulse functions are developed by combining BlockPulse functions on [0, 1] and Legendre polynomials. By using
Numerical Solution of Nonlinear Volterra Hammerstein Integral Equations Using the Hybrid of Blockpulse and Rationalized Haar Functions
"... A numerical method for finding the solution of nonlinear VolterraHammerstein integral equations is proposed. The properties of the hybrid functions which consists of blockpulse functions plus rationalized Haar functions are presented. The hybrid functions together with the operational matrices of ..."
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A numerical method for finding the solution of nonlinear VolterraHammerstein integral equations is proposed. The properties of the hybrid functions which consists of blockpulse functions plus rationalized Haar functions are presented. The hybrid functions together with the operational matrices
Hybrid Automata: An Algorithmic Approach to the Specification and Verification of Hybrid Systems
, 1992
"... We introduce the framework of hybrid automata as a model and specification language for hybrid systems. Hybrid automata can be viewed as a generalization of timed automata, in which the behavior of variables is governed in each state by a set of differential equations. We show that many of the examp ..."
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Cited by 460 (20 self)
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We introduce the framework of hybrid automata as a model and specification language for hybrid systems. Hybrid automata can be viewed as a generalization of timed automata, in which the behavior of variables is governed in each state by a set of differential equations. We show that many
Modeling and simulation of genetic regulatory systems: A literature review
 JOURNAL OF COMPUTATIONAL BIOLOGY
, 2002
"... In order to understand the functioning of organisms on the molecular level, we need to know which genes are expressed, when and where in the organism, and to which extent. The regulation of gene expression is achieved through genetic regulatory systems structured by networks of interactions between ..."
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Cited by 729 (15 self)
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In order to understand the functioning of organisms on the molecular level, we need to know which genes are expressed, when and where in the organism, and to which extent. The regulation of gene expression is achieved through genetic regulatory systems structured by networks of interactions between
Convex Analysis
, 1970
"... In this book we aim to present, in a unified framework, a broad spectrum of mathematical theory that has grown in connection with the study of problems of optimization, equilibrium, control, and stability of linear and nonlinear systems. The title Variational Analysis reflects this breadth. For a lo ..."
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Cited by 5350 (67 self)
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In this book we aim to present, in a unified framework, a broad spectrum of mathematical theory that has grown in connection with the study of problems of optimization, equilibrium, control, and stability of linear and nonlinear systems. The title Variational Analysis reflects this breadth. For a
Bundle Adjustment  A Modern Synthesis
 VISION ALGORITHMS: THEORY AND PRACTICE, LNCS
, 2000
"... This paper is a survey of the theory and methods of photogrammetric bundle adjustment, aimed at potential implementors in the computer vision community. Bundle adjustment is the problem of refining a visual reconstruction to produce jointly optimal structure and viewing parameter estimates. Topics c ..."
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Cited by 555 (12 self)
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covered include: the choice of cost function and robustness; numerical optimization including sparse Newton methods, linearly convergent approximations, updating and recursive methods; gauge (datum) invariance; and quality control. The theory is developed for general robust cost functions rather than
Sketchpad: A manmachine graphical communication system
, 2003
"... The Sketchpad system uses drawing as a novel communication medium for a computer. The system contains input, output, and computation programs which enable it to interpret information drawn directly on a computer display. It has been used to draw electrical, mechanical, scientific, mathematical, and ..."
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Cited by 702 (6 self)
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The Sketchpad system uses drawing as a novel communication medium for a computer. The system contains input, output, and computation programs which enable it to interpret information drawn directly on a computer display. It has been used to draw electrical, mechanical, scientific, mathematical
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