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Showing 1 to 20 of 107 for “"Nonlinear equations"”.
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Numerical methods for solving nonlinear equations.
Not available
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Coupled mode reductions and rotating wave approximations in nonlinear equations
… of coupled mode theory in the cubic-quintic nonlinear Schrodinger/Gross Pitaevskii (NLS/GP) equation with a linear double-well potential and study justifications of the rotating wave approximations in lattice systems. First, we study the long-time dynamics near a symmetry breaking bifurcation …
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Some nonlinear equations arising in the theory of water waves
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1994.
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A scheme for identification of a set of nonlinear equations
A method for the identification of a nonlinear set of equations is presented. The method is based on the work done by Harendra, Tripathi, Kudva, and Luders for linear identification. The nonlinear equations are linearized ancl the coefficients of the linear equations are allowed to vary so the …
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Qualitative Properties Of Solutions Of Fully Nonlinear Equations And Overdetermined Problems
… radial symmetry for viscosity solutions of fully nonlinear partial differential equations. We</p> <p>obtain the radial symmetry and monotonicity properties for</p> <p>nonnegative viscosity solutions of fully nonlinear equations under some asymptotic decay rate at infinity. Our symmetry and …
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A nonsmooth exclusion test for finding all solutions of nonlinear equations
… proposed for finding all solutions of systems of nonlinear equations with bound constraints. The zero finding problem is converted to a global optimization problem whose global minima with zero objective value, if any, correspond to all solutions of the initial problem. A branch-and-bound …
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Levenberg-Marquardt Algorithms for Nonlinear Equations, Multi-objective Optimization, and Complementarity Problems
… algorithm is a classical method for solving nonlinear systems of equations that can come from various applications in engineering and economics. Recently, Levenberg-Marquardt methods turned out to be a valuable principle for obtaining fast convergence to a solution of the nonlinear system if …
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Superconvergence of Iterated Solutions for Linear and Nonlinear Integral Equations: Wavelet Applications
… iterated Petrov-Galerkin method for a class of nonlinear Hammerstein equation. We also investigate the superconvergence phenomenon of the iterated Petrov-Galerkin and degenerate kernel numerical solutions of linear and nonlinear integral equations with a class of wavelet basis. The Fredholm …
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ΝΕΕΣ ΜΕΘΟΔΟΙ ΕΠΙΛΥΣΗΣ ΣΥΣΤΗΜΑΤΩΝ ΜΗ ΓΡΑΜΜΙΚΩΝ ΑΛΓΕΒΡΙΚΩΝ Η/ΚΑΙ ΥΠΕΡΒΑΤΙΚΩΝ ΕΞΙΣΩΣΕΩΝ
SOME NEW METHODS FOR SOLVING SYSTEMS OF NONLINEAR ALGEBRAIC AND/OR TRANSCEDENTAL EQUATIONS ARE DEVELOPED. THE FIRST METHOD DEALS WITH SYSTEMS OF NONLINEAR EQUATIONS IN IR2 AND IT IS BASED ON REDUCTION TO SIMPLER ONE-DIMENSIONAL NONLINEAREQUATION. IT GENERATES A SEQUENCE OF POINTS IN IR WHICH …
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Estudio de métodos tipo secante: convergencia, estabilidad y accesibilidad
… of iterative numerical methods for solving nonlinear equations. In particular, it focuses on the analysis and optimization of secant-type methods, with the aim of improving their efficiency and stability compared to traditional techniques. The motivation for this study lies in the importance …
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Parameter identification in parabolic partial differential equations using quasilinearization
… coefficients in parabolic partial differential equations. The identification scheme is based on quasilinearization and is applied to both linear and nonlinear equations where the unknown coefficients may be spatially varying. Our investigation includes derivation, convergence, and numerical …
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Simultaneous Modeling and Optimization of a Cascade of Electrochemical Reactors
… into consideration. The system includes both nonlinear algebraic and differential equations. An orthogonal collocation technique was used to approximate the differential equation. An efficient and reliable nonlinear equation solver based on a modification of Powell's dogleg method called NEQLU …
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Estudio de la dinámica del método de Newton amortiguado
… dynamical systems and the numerical solution of nonlinear equations by iterative processes. Specifically, we studied the iterative method known as damped Newton method, which is a modification of the classical Newton method. This method generates a sequence depending on a damping parameter, which …
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Optimal structural design for maximum buckling load
… Recent developments in methods for solving nonlinear equations gave a way to an alternative approach in which the optimality conditions are treated as a set of nonlinear equations and solved directly. Two different formulations are presented; one is a conventional nested approach and the …
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A Variation of the Carleman Embedding Method for Second Order Systems.
… us to embed a finite dimensional system of nonlinear differential equations into a system of infinite dimensional linear differential equations. This technique works well when dealing with first-order nonlinear differential equations. However, for higher order nonlinear ordinary differential …
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Some aspects of the numerical solution of equilibrium problems in finite elasticity
… and computational aspects of solution paths for nonlinear equations are examined, with emphasis on problems in which there are many parameters. The solution to problems of this type is described by an equilibrium hypersurface and methods are presented which allow for the determination of the …
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Advanced Modelling of Helicopter Nonlinear Dynamics and Aerodynamics
… that builds rigid body systems, solves the nonlinear equations of motion and generates the time histories of the corresponding state variables of the vehicle under study. VehicleSim is able to provide the linearised equations of motion in a Matlab file and the symbolic state-space model. …
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Systems of Nonlinear Algebraic Equations Arising in Simulation of Semiconductor Devices
… of the system of elliptic partial differential equations that model a semiconductor device. We use standard finite difference methods to discretize these equations and derive systems of nonlinear equations. Due to the extremely large number of unknowns it is prohibitively expensive to use …
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