methods for solving nonlinear integral equations
Numerical methods and their analysis for some nonlinear dispersive equations
... sophisticated numerical methods for dispersive equations For some nonlinear dispersive equations, the computation concern involves several challenges For example, long-time simulations call for much efficient ... compare various numerical methods for solving the nonlinear Klein–Gordon (KG) equation The nonlinear KG equation might be viewed as the most simplest form of wave equations; however, here it is ... Numerical studies for ground states 30 along x-axis for 3D BSFC, BESP and BEFP methods in a cube [−4, 4]3 with uniform mesh size h = 1/16 in each axis, and for BEFP in different cubes with uniform mesh...
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A new probabilistic algorithm for solving nonlinear equations systems
... consider system of equations and apply PDS algorithm to solving nonlinear Equations System Nonlinear Equations System 4.1 The model of nonlinear equations system A general nonlinear equations system ... n) where fj (1≤j≤m) are nonlinear functions 4.2 Popular approaches for solving nonlinear Equations System There are several standard known techniques to solve nonlinear equations system Some popular ... PDS algorithm of this paper for solving engineering optimization problems REFERENCES 16 Broyden C G (1965), “A class of methods for solving nonlinear simultaneous equations , Math Comput., vol...
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Tài liệu Numerical Methods for Ordinary Differential Equations pptx
... in detail the design of efficient explicit methods for non-stiff xiv NUMERICAL METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS problems For implicit methods for stiff problems, inexpensive implementation ... Numerical Methods for Ordinary Differential Equations Numerical Methods for Ordinary Differential Equations, Second Edition J C Butcher © 2008 John Wiley & Sons, Ltd ISBN: 978-0-470-72335-7 Numerical Methods ... functions on [0, 1] for which u(0) = u(1) = dx2 The eigenfunctions for the continuous problem are of the form sin(kπx), for 10 NUMERICAL METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS k = 1, 2,...
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Methods for solving inverse problems in mathematical physics prilepko, orlovskiy
... Problems for Equations of Second Order Cauchy problem for semilinear hyperbolic equations Two-point inverse problems for equations of hyperbolic type Two-point inverse problems for equations ... Problems for Equations of Hyperbolic Type Inverse problems for x-hyperbolic systems Inverse problems for t-hyperbolic systems Inverse problems for hyperbolic equations of the second order Problems for ... inverse problems for mathematical physics equations, in particular, for parabolic equations, second order elliptic and hyperbolic equations, the systems of Navier-Stokes and Maxwell equations, symmetric...
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Báo cáo hóa học: " Research Article Resolvent Iterative Methods for Solving System of Extended General Variational Inclusions" potx
... Noor, “Resolvent methods for solving a system of variational inclusions,” International Journal of Modern Physics B In press 27 M A Noor and K I Noor, “Resolvent methods for solving the system ... variational inequalities involving five different operators,” Nonlinear Analysis Forum, vol 15, pp 171–179, 2010 24 M A Noor, “On iterative methods for solving a system of mixed variational inequalities,” ... 0, for all n ≥ satisfies some suitable conditions For suitable and appropriate choice of the operators T1 , T2 , A, g, h, g1 and spaces, one can obtain a wide class of iterative methods for solving...
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Báo cáo hóa học: " Research Article Some Iterative Methods for Solving Equilibrium Problems and Optimization Problems" potx
... Preliminaries For solving the equilibrium problem for a bifunction F : C × C → R, let us assume that F satisfies the following conditions: A1 F x, x for all x ∈ C; A2 F is monotone, that is, F x, y A3 for ... for all x ∈ C, for a constant κ > 1; then, T is relaxed μ, ν -cocoercive and Lipschitz continuous Especially, T is ν-strong monotone Proof Since T x κx, for all x ∈ C, we have T : C → C For for ... method for solving the variational inequality 1.2 For a given u0 ∈ C, wn un PC un − λAun , PC wn − λAwn , n 0, 1, 2, , 1.7 which is also known as the modified double-projection method For the...
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báo cáo hóa học:" Research Article Exponential Decay of Energy for Some Nonlinear Hyperbolic Equations with Strong Dissipation Yaojun Ye" ppt
... nonexistence theorems for nonlinear evolution equations, ” The Quarterly Journal of Mathematics Oxford, vol 28, no 112, pp 473–486, 1977 Z Yang, “Existence and asymptotic behaviour of solutions for a class ... solutions for some nonlinear hyperbolic equation with a nonlinear dissipative term,” Journal of Zhengzhou University, vol 29, no 3, pp 18–23, 1997 15 Y Ye, “On the decay of solutions for some nonlinear ... damped wave equations, ” Mathematical Methods in the Applied Sciences, vol 26, no 12, pp 1047–1066, 2003 11 L Yacheng and Z Junsheng, “Multidimensional viscoelasticity equations with nonlinear damping...
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báo cáo hóa học:" Fixed point theorems on ordered gauge spaces with applications to nonlinear integral equations" potx
... algorithms, physics, variational inequalities, ordinary differential equations, integral equations, matrix equations and so on (see, for example, [1–6]) The Banach contraction principle [7] is a fundamental ... uniqueness of solutions to some classes of nonlinear integral equations 1 Introduction Fixed point theory is considered as one of the most important tools of nonlinear analysis that widely applied ... (gx,gy) aλ (t) dt ≤ aλ (t) dt − bλ (t) dt 0 for all λ ∈ A, for all x, y ∈ X for which gx exists x0 such that gx0 dλ (gx,gy) gy, where aλ , bλ ∈ Γ for all λ ∈ A If there f x0 , then f and g have...
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Báo cáo hóa học: "Research Article Iterative Methods for Generalized von Foerster Equations with Functional Dependence" pot
... one of these methods yields the existence, whereas the other one does not Bicharacteristics First, for a given function z ∈ C([−τ ,a], R+ ), consider the bicharacteristic equations for problem ... methods for some problems of mathematical biology,” in Differential & Difference Equations and Applications, pp 661–666, Hindawi, New York, NY, USA, 2006 [15] J K Hale, Functional Differential Equations, ... Kamont and H Leszczynski, “Uniqueness result for the generalized entropy solutions to the Cauchy problem for first-order partial differential-functional equations, ” Zeitschrift f¨ r Analysis u und...
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EIGENVALUE PROBLEMS FOR DEGENERATE NONLINEAR ELLIPTIC EQUATIONS IN ANISOTROPIC MEDIA ˘ DUMITRU docx
... for almost all x ∈ RN Therefore 1 f x,un u2 − F x,un −→ f x,u0 u2 − F x,u0 n 2 f x,un (x) un (x)2 − F x,un (x) ≤ c0 h(x)τ+2 2 for a.e x ∈ RN , (4.21) for a.e x ∈ RN 122 Nonlinear elliptic equations ... f (x,t)/t τ ) = uniformly in x ∈ RN , for some constant τ > 0, is stronger than having limt→0+ f (x,t) = uniformly in x ∈ RN For instance, the function f (t) = −1/ ln(t) for t > near verifies ... verifiable conditions for the nonlinear term f when λ > is sufficiently small Then we investigate a related nonlinear eigenvalue problem obtaining an existence result which contains information about...
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Numerical Methods for Ordinary Differential Equations pdf
... in detail the design of efficient explicit methods for non-stiff xiv NUMERICAL METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS problems For implicit methods for stiff problems, inexpensive implementation ... Numerical Methods for Ordinary Differential Equations Numerical Methods for Ordinary Differential Equations, Second Edition J C Butcher © 2008 John Wiley & Sons, Ltd ISBN: 978-0-470-72335-7 Numerical Methods ... functions on [0, 1] for which u(0) = u(1) = dx2 The eigenfunctions for the continuous problem are of the form sin(kπx), for 10 NUMERICAL METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS k = 1, 2,...
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Numerical Methods for Ordinary Differential Equations Numerical Methods pptx
... in detail the design of efficient explicit methods for non-stiff xiv NUMERICAL METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS problems For implicit methods for stiff problems, inexpensive implementation ... Numerical Methods for Ordinary Differential Equations Numerical Methods for Ordinary Differential Equations, Second Edition J C Butcher © 2008 John Wiley & Sons, Ltd ISBN: 978-0-470-72335-7 Numerical Methods ... functions on [0, 1] for which u(0) = u(1) = dx2 The eigenfunctions for the continuous problem are of the form sin(kπx), for 10 NUMERICAL METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS k = 1, 2,...
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Subspace based inversion methods for solving electromagnetic inverse scattering problems
... thesis consist two parts: methods for solving EISPPLS and methods for solving EISP-ES, both of which are on the basis of the concept of subspace The subspace-based methods for solving EISP-PLS are ... investigate MUSIC methods for solving electromagnetic inverse scattering problems for point-like scatterers, so as to obtain a better resolution; Second, to investigate methods for solving electromagnetic ... 5] Methods for solving EISP-PLS and EISP-ES are quite different, since one needs to deal with the stability problem when solving the latter one Because EISP-PLS are properly posed, methods for solving...
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Development of some local search methods for solving the vehicle routing problem
... 2.1 Approaches for Solving the TSP ……………………………… … …12 2.1.1 Exact Methods for the TSP …………………………….………13 2.1.2 Heuristic Methods for the TSP………….………….… ….… 16 2.2 Approaches for Solving the VRP……………………….…….….……… ... Approaches for Solving the VRP 2.2.1 Exact Methods for the VRP Exact algorithms for solving the VRP proposed in the literature, such as set covering based algorithms, branch and bound methods and ... problem, it is assumed that the delivery is performed before the pickup for each customer location, and therefore, the current load of the vehicle before arriving at a given location can be calculated...
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Mathematical methods for solving equilibrium, variational inequality and fixed point problems
... problem, the strategy is to combine a method for solving equilibrium problems with a method for solving fixed point problems Most of the methods for solving equilibrium problems in the literature ... (x)] f (x, y) = i=1 2.5.2 Solution methods for solving equilibrium problems For our purpose in the next chapters, we recall some well-known solution methods for equilibrium problems in this subsection ... quasi-nonexpansive mapping over C for every w ∈ [0, − β] Furthermore Sw x − x∗ ≤ x − x∗ − w(1 − β − w) Sx − x for all (x, x∗ ) ∈ H × F ix(S) Many methods used in the literature for solving the fixed point...
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Báo cáo hóa học: "Review Article T -Stability Approach to Variational Iteration Method for Solving Integral Equations" pot
... mechanics,” International Journal of Nonlinear Sciences and Numerical Simulation, vol 8, no 4, pp 513–518, 2007 A M Wazwaz and S A Khuri, “Two methods for solving integral equations, ” Applied Mathematics ... |λ|/ shows that 1.1 holds for the nonlinear mapping T All of conditions of Theorem 1.1 hold for the nonlinear mapping T and hence it is T -stable Example 2.3 Consider the integral equation u x sin ... fixed point Also, putting L and α |λ|/3 shows that 1.1 holds for the nonlinear mapping T All of the conditions of Theorem 1.1 hold for the nonlinear mapping T and hence it is T -stable 6 Fixed Point...
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Tài liệu Báo cáo " Fully parallel methods for a class of linear partial differential-algebraic equations " pptx
... is assumed to be sufficiently smooth We propose two parallel methods for solving the IBVP (5)-(7) where the parallelism will be performed across both the problem and the method According to Proposition ... complete and put ξ1 := Fully parallel methods for linear PDAEs In this section we study the numerical solution of the following initial boundary value problems (IBVPs) for linear PDAEs: Aut + B∆u = f ... fractional step (PFS) method, proposed in [3] and developed in [4], will be exploited for solving the IBVP (9)-(11) For this purpose, we first discretize in the spatial variable x = (x1, , xd) by choosing...
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HIGH ORDER ACCURATE METHODS FOR MAXWELL EQUATIONS kashdan
... time dependent approach to solving the Maxwell equations This approach has the advantage that for explicit schemes no matrix inversion is necessary or for compact implicit methods only low dimension ... iterative methods However, domains that span more than free space wavelengths present very difficult computer problems for the method of moments So, for example, modeling a military aircraft for RCS ... moments algorithm However these methods are difficult to use with non-homogeneous media As a consequence no single approach to solving the Maxwell equations is efficient for the entire range of practical...
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Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws: and Well-Balanced Schemes for Sources ppt
... means that they can be put in the form t U + x (F (U )) = 0, (1.8) for some nonlinearity F that takes values in Rp In other words, it means that A takes the form of a jacobian matrix, A(U ) = ... over the cells, Uin xi U (tn , x) dx (2.4) Ci A nite volume conservative scheme for solving (1.8) is a formula of the form Uin+1 Uin + t (Fi+1/2 Fi1/2 ) = 0, xi (2.5) telling how to compute the ... p()/c2 g , (2.125) thus writing that g = 1/g + p(g )/c for some g I (g may be not unique), we have that () for g , and () for g Therefore, the supremum in (2.121) is attained at = g ,...
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