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Preconditioning Dense Complex Linear Systems from a VIM Discretization ab 49 € als Taschenbuch: Discretizing Maxwell's equations using the volume integral method (VIM). Aus dem Bereich: Bücher, Wissenschaft, Mathematik,

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Li2208: Linear Imager, Standard Range, Corded, Twilight BlackZebra Li2208 - Barcode-Scanner - Handgerät547 Scans/Sek. - decodiertZebra Li2208. Typ: Tragbares Barcodelesegerät; Scanner-Typ: 1D, Sensor-Typ: Linear. Übertragungstechnik: Verkab

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49,00 € *

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Preconditioning Dense Complex Linear Systems from a VIM Discretization ab 49 EURO Discretizing Maxwell's equations using the volume integral method (VIM)

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Research Paper (postgraduate) from the year 2019 in the subject Mathematics - Applied Mathematics, , language: English, abstract: In this paper, the Variational Iteration Method (VIM) and the Homotopy Perturbation Method (HPM) are applied to solve the non-linear differential equations. The Newell-Whitehead-Segel equation, the Burgers-Huxley, the Burgers-Fisher equation, the Fitzhugh-Nagumo Equation, the Fisher Type Equation are studied in different chapters and exact solutions are also obtained. A comparison is made between obtained results in finding the exact solution of the equation in order to present precision of the methods. The results prove capability and great potential of the methods as effective algorithms in order to obtain the exact solution of non-linear differential equations.

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Zebra Li2208. Scanner-Typ: 1D, Sensor-Typ: Linear, Lineare 1D Barcodes unterst&uuml,tzt: Code 11,Code 128,Code 39,Code 93,ean-13,ean-8,jan. &Uuml,bertragungstechnik: Verkabelt, Standard-Schnittstellen: Usb. Produktfarbe: Schwarz, Typ: Tragbares

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79,90 CHF *

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Angular-resolved optical scatterometry is a new promising technology for metrology in lithography for the construction of VLSI chips such as DRAMs and CPUs. In order to measure the geometry dimensions and material properties of markers and interconnect lines, one needs to solve Maxwell's equations for an electromagnetic scattering problem. The well known RCWA discretization method is too slow for 3D applications whence one takes resort to either a finite element discretization method or a volume integral method (VIM). VIM systems of equations can be solved faster than FEM systems of equations. This book focuses on an iterative solution of linear systems emanating from VIM. Each different linear system depends in a non-linear manner on several geometry, material and incoming light-wave parameters. For a typical 2D-periodic application on resist, VIM is a factor of 20 faster than RCWA. The VIM discretization leads to a dense complex linear system for the electric field for a 2D-periodic grating (3D Maxwell's equations). The coefficient matrix A is almost full but matrix-vector multiplications can be performed. Therefore; systems should be solved with an iterative solution method.

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Zebra Li2208. Scanner-Typ: 1D, Sensor-Typ: Linear, Lineare 1D Barcodes unterst&uuml,tzt: Code 11,Code 128,Code 39,Code 93,ean-13,ean-8,jan,u.p.c.. &Uuml,bertragungstechnik: Verkabelt, Standard-Schnittstellen: Usb, Kabell&auml,nge: 2,1 m.

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112,00 CHF *

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Differential equations are encountered in various fields such as physics, chemistry, biology, mathematics and engineering. Most nonlinear models of real-life problems are still very difficult to solve either numerically or theoretically. Many unrealistic assumptions have to be made to make nonlinear models solvable. There has recently been much attention devoted to the search for better and more efficient solution methods for determining a solution, approximate or exact, analytical or numerical, to nonlinear models. Finding exact/approximate solutions of these nonlinear equations are interesting and important. One of these methods is variational iteration method (VIM), which has been proposed by Ji-Huan He in 1997 based on the general Lagrange's multiplier method. The main feature of the method is that the solution of the linearized problem is used as the initial approximation for the linear and nonlinear problems. Then a more highly precise approximation at some special point can be obtained. This approximation converges rapidly to an accurate solution. VIM is very powerful and efficient in finding analytical as well as numerical solutions for a wide class of differential equation

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Zebra Li2208. Scanner-Typ: 1D, Sensor-Typ: Linear, Lineare 1D Barcodes unterst&uuml,tzt: Code 11,Code 128,Code 39,Code 93,ean-13,ean-8,jan,u.p.c.. &Uuml,bertragungstechnik: Verkabelt, Standard-Schnittstellen: Rs-232, Kabell&auml,nge: 2,1 m.

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25,70 € *

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Anbieter: Thalia AT

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43,99 € *

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59,99 € *

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Anbieter: Thalia AT

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