solution methods for electrostatic problems

... pp 455– 469, 2007 S Takahashi and W Takahashi, “Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces,” Journal of Mathematical Analysis and Applications, ... “Some problems and results in the study of nonlinear analysis,” Nonlinear Analysis: Theory, Methods & Applications, vol 30, no 7, pp 4197–4208, 1997 16 H.-K Xu, “Viscosity approximation methods for ... 2.2 holds for every y ∈ H with y / x In order to solve the equilibrium problem for a bifunction φ : C × C → R, let us assume that φ satisfies the following conditions: A1 φ x, x 0, for all x ∈...

Ngày tải lên: 21/06/2014, 05:20

... the  direction for n=3 of different numerical methods and the HRR solution Table 3.12  r /  distribution along the  direction for n=5 of different numerical methods and the HRR solution Table ... direction for n=5 of different numerical methods and the HRR solution Table 3.14  r /  distribution along the  direction for n=5 of different numerical methods and the xxvii List of tables HRR solution ... the  direction for n=9 of different numerical methods and the HRR solution Table 3.16   /  distribution along the  direction for n=9 of different numerical methods and the HRR solution Table...

Ngày tải lên: 10/09/2015, 09:23

... Suantai, “A new mapping for finding common solutions of equilibrium problems and fixed point problems of finite family of nonexpansive mappings,” Nonlinear Analysis: Theory, Methods & Applications, ... and S M Kang, “Viscosity approximation methods for generalized equilibrium problems and fixed point problems with applications,” Nonlinear Analysis: Theory, Methods & Applications, vol 72, no 1, ... n,j n,j 27 n,j α2 α3 and < η1 ≤ α1 ≤ θ1 < for all n ∈ N, for all j 1, 2, , N − 1, < ηN ≤ α1 n,j n,j n,N α1 ≤ and ≤ α2 , α3 ≤ θ3 < for all n ∈ N, for all j 1, 2, , N Let {xn }, {un }, {vn...

Ngày tải lên: 21/06/2014, 11:20

... 2.1 2.2 2.3 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 ... 8.2 8.3 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 of the "forecast-monitoring" type The property of having fixed sign for a solution of "forecast-monitoring" problemswill be of crucial importance in applications to practical problems of...

Ngày tải lên: 17/03/2014, 14:30

Ngày tải lên: 08/05/2014, 12:49

... approximation methods for equilibrium problems and fixed point problems in Hilbert spaces J Math Anal Appl 331, 506–515 (2006) Su, Y, Shang, M, Qin, X: An iterative method of solutions for equilibrium ... method for finding a common element of the set of solutions of problem (1.2) and the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality problem for ... [d, e] for some 4k d, e Î (0, 2a), and {an}, {bn}, {gn} are three sequences in [0, 1] satisfying the conditions: for every n = 1, 2, where {ln} ⊂ [a, b] for some a, b ∈ (0, (i) an + bn ≤ for all...

Ngày tải lên: 21/06/2014, 02:20

... characterizations for the set-valued vector equilibrium problems to have nonempty and bounded solution sets In Section 4, we give an application to the stability of the solution sets for the set-valued ... of solutions for a system of vector equilibrium problems, ” Journal of Optimization Theory and Applications, vol 133, no 2, pp 201–212, 2007 22 I V Konnov and J C Yao, “Existence of solutions for ... the references therein Among many desirable properties of the solution sets for vector equilibrium problems, stability analysis of solution set is of considerable interest see, e.g, 27–33 and...

Ngày tải lên: 21/06/2014, 06:20

... pseudocontractions and the solution set of the system of equilibrium problems 1.1 by the hybrid methods We will use the following notations: for the weak convergence and → for the strong convergence, ... hybrid methods for equilibrium problems and strict pseudocontractions In this paper, motivated by 5, 8–12 , applying parallel and cyclic algorithms, we obtain strong convergence theorems for finding ... x, x for all x ∈ C; A2 F is monotone, that is, F x, y F y, x ≤ for any x, y ∈ C; A3 for each x, y, z ∈ C, lim supt → F tz − t x, y ≤ F x, y ; A4 F x, · is convex and lower semicontinuous for each...

Ngày tải lên: 21/06/2014, 07:20

... 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 ... potential function for γf i.e., h x γf x for x ∈ H Journal of Inequalities and Applications For finding a common element of the set of fixed points of nonexpansive mappings and the set of solution of ... a nonexpansive mapping, the set of solutions of the variational inequalities for a relaxed cocoercive mapping, and the set of solutions of the equilibrium problems 2.12 , which solves another...

Ngày tải lên: 21/06/2014, 07:20

... 2.2 exists for each x, y ∈ U It is also said to be uniformly smooth if the limit is attained uniformly for x, y ∈ U It is well known that p and Lp < p < ∞ are uniformly convex and uniformly smooth; ... Applications It is obvious that 2.6 holds for N 1, see 34 for more details Next, we assume that 2.6 is true for N − It remains to show that 2.6 holds for N We observe that N i ω xi ω N xN 1−ω ... following conditions: i αn < for all n ∈ N ∪ {0} and lim supn → ∞ αn < 1, ii βn i for all i 1, 2, , N i 1 a lim infn → ∞ βn βn b limn → ∞ βn 1, > for all i and N i i βn for all n ∈ N ∪ {0} If either...

Ngày tải lên: 21/06/2014, 23:20

... approximation and solution methods for some important problems in fluid dynamics are discussed, such as transonic flows for compressible inviscid fluids and the Navier-Stokes equations viii Preface for incompressible ... the solution methods discussed in Chapter VII, which also contains an introduction to arc-lengthcontinuation methods (H B Keller) for solving nonlinear boundary-value problems with multiple solutions ... Navier-Stokes equations for incompressible viscous fluids We discuss the approximation of the above nonlinear fluid flow problems by finite element methods, and also iterative methods of solution of the...

Ngày tải lên: 27/06/2014, 18:20

... qualities for SNV calling, and with read end anomaly (REA) calling (see the ‘Computational methods section for details) In addition to tabular formats, result files were given in formats applicable for ... between the capture methods Of all 2,596 indel positions identified with any one of the methods, 241 were identified by all four methods, 492 by any three methods and 1,130 by any two methods; 119 were ... regions targeted for capture in all the methods (e) for different minimum sequencing coverages In (a, b), allele balances are given for the control I sample (bars without outline) and for the mean...

Ngày tải lên: 09/08/2014, 23:20

... ) VU V and IW for NV scheme (a2 ) npf and FFT for NV scheme (b1 ) VU V and IW for SV scheme (b2 ) npf and FFT for SV scheme (c1 ) VU V and IW for NV + SV scheme (c2 ) npf and FFT for NV + SV scheme ... ) VU V and IW for NV scheme (a2 ) npf and FFT for NV scheme (b1 ) VU V and IW for SV scheme (b2 ) npf and FFT for SV scheme (c1 ) VU V and IW for NV + SV scheme (c2 ) npf and FFT for NV + SV scheme ... ) VU V and IW for NV scheme (a2 ) npf and FFT for NV scheme (b1 ) VU V and IW for SV scheme (b2 ) npf and FFT for SV scheme (c1 ) VU V and IW for NV + SV scheme (c2 ) npf and FFT for NV + SV scheme...

Ngày tải lên: 14/09/2015, 08:37

... 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 ... inversion methods for small scatterers In this chapter, several methods for solving the electromagnetic inverse scattering problems for point-like scatterers will be introduced All these methods ... scatterers is not provided 2.2.2 Inversion methods for extended scatterers Different from the inversion methods for locating the point-like scatterers, methods for retrieving the locations and shapes...

Ngày tải lên: 14/09/2015, 08:39

... Meshfree methods based on strong forms In this thesis, the research work is focused on the meshfree methods which are formulated based on Galerkin weak forms Hence strong form meshfree methods ... consequently provides higher accuracy of solution for large deformation problems There are two forms of RKPM: the strong form (Aluru, 2000) and the Galerkin weak form (Liu et al., 1995) The moving ... form and strong form The key idea of the MWS method is that both the strong form and local weak form are used for establishing the discretized system equations, but these two forms are used for...

Ngày tải lên: 14/09/2015, 08:39

... domain finite methods for the numerical solution of time dependent Maxwell’s equations The two finite methods focused are FDTD and FETD methods The applications of the developed hybrid methods are ... frequency domain and time domain methods While frequency domain methods seek electromagnetic field solution under the time harmonic or steady state conditions, time domain methods capture the transient ... possible formulations are possible and these techniques are collectively knowns as time domain finite element methods Both FDTD and FEM along with other methods based on them, which seek solution...

Ngày tải lên: 14/09/2015, 11:39

... [27] We define the parameter-uniform or ε-uniform methods as methods generated numerical solutions that converge uniformly for all values of the parameter ε, instead of for a given single value of ... analytical solution Therefore scientists require numerical methods Mostly, scientists use both analytical and numerical methods to analyze problems 1.2 Derivation of Singularly Perturbed Problems ... another is typical for solution process In finance, the value of a call option at and before the expire time is typical for derivatives process Usually the solution, the approximation solution or the...

Ngày tải lên: 14/09/2015, 13:35

... development and applications of SMC methods for problems on finite state-spaces Firstly, we provide an exposition of exact computational methods to perform parameter inference for partially observed network ... SEQUENTIAL MONTE CARLO METHODS FOR PROBLEMS ON FINITE STATE-SPACES WANG JUNSHAN (Bachelor of Science, Wuhan University, China) A THESIS SUBMITTED FOR THE DEGREE OF DOCTOR OF PHILOSOPHY ... iteration 1200 for each Markov Chain; for the SMC version of PMCMC samples, plots (c) and (d) suggest that convergence is obtained around iteration 800 for each Markov Chain; for the DPF version...

Ngày tải lên: 22/09/2015, 15:18

... principle for equilibrium problems, Publicatione del Dipartimento di Mathematica dell Universita di Pisa, 3(2000), 1244-1258 [15] S Plubtieng and K Ungchittrakool, Hybrid iterative methods for convex ... a uniformly convex Banach space, r be a positive number and Br (0) ⊂ X be a closed ball centered at the origin with radius r Then, for any given subset {x1 , x2 , , xN } ⊂ Br (0) and for any ... extended to fixed point problems and equilibrium problems, Optimization, 62(2011), 271-283 [2] M Bianchi, S Schaible, Generalized monotone bifunctions and equilibrium problems, Journal Optimization...

Ngày tải lên: 14/10/2015, 08:18

... several problems such as: variational inequalities, optimization problems, fixed point problems, ect In recent years, equilibrium problems have been studied widely and several solution methods ... hybrid iterative methods for VIs, EPs, and FPPs for all ∈ [0, 2] Note that E is uniformly convex if only if δE ( ) > for all < ≤ and δE (0) = Let p > 1, E is said to be p-uniformly convex if ... )}N j=1 , the set of solutions of variational inequalities {V I(Ai , C)}i=1 , and the set of solutions of equilibrium problems {EP (fk )}K k=1 in uniformly smooth and 2-uniformly convex Banach...

Ngày tải lên: 14/10/2015, 08:20