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Numerical Integration Methods Of The Vlasov Equation


Numerical Integration Methods Of The Vlasov Equation
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Numerical Integration Methods Of The Vlasov Equation


Numerical Integration Methods Of The Vlasov Equation
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Author : Homer K. Meier
language : en
Publisher:
Release Date : 1970

Numerical Integration Methods Of The Vlasov Equation written by Homer K. Meier and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Numerical integration categories.




Numerical Integration Methods Of The Vlasov Equation


Numerical Integration Methods Of The Vlasov Equation
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Author :
language : en
Publisher:
Release Date : 1971

Numerical Integration Methods Of The Vlasov Equation written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with categories.




A Numerical Method For Solving The Vlasov Equation


A Numerical Method For Solving The Vlasov Equation
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Author :
language : en
Publisher:
Release Date : 1982

A Numerical Method For Solving The Vlasov Equation written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with categories.




Numerical Integration Of The Vlasov Equation


Numerical Integration Of The Vlasov Equation
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Author : Magdi M. Shoucri
language : en
Publisher:
Release Date : 1973

Numerical Integration Of The Vlasov Equation written by Magdi M. Shoucri and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Numerical integration categories.




The Numerical Integration Of The Vlasov Equation Possessing An Invariant


The Numerical Integration Of The Vlasov Equation Possessing An Invariant
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Author : G. Manfredi
language : en
Publisher:
Release Date : 1994

The Numerical Integration Of The Vlasov Equation Possessing An Invariant written by G. Manfredi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.




Numerical Solution Of Hyperbolic Differential Equations


Numerical Solution Of Hyperbolic Differential Equations
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Author : M. Shoucri
language : en
Publisher:
Release Date : 2008

Numerical Solution Of Hyperbolic Differential Equations written by M. Shoucri and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.


The application of the method of characteristics for the numerical solution of hyperbolic type partial differential equations will be presented. Especial attention will be given to the numerical solution of the Vlasov equation, which is of fundamental importance in the study of the kinetic theory of plasmas, and to other equations pertinent to plasma physics. Examples will be presented with possible combination with fractional step methods in the case of several dimensions. The methods are quite general and can be applied to different equations of hyperbolic type in the field of mathematical physics. Examples for the application of the method of characteristics to fluid equations will be presented, for the numerical solution of the shallow water equations and for the numerical solution of the equations of the incompressible ideal magnetohydrodynamic (MHD) flows in plasmas.



A Spectral Algorithm For Solving The Relativistic Vlasov Maxwell Equations


A Spectral Algorithm For Solving The Relativistic Vlasov Maxwell Equations
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Author : John V. Shebalin
language : en
Publisher:
Release Date : 2001

A Spectral Algorithm For Solving The Relativistic Vlasov Maxwell Equations written by John V. Shebalin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Algorithms categories.


A spectral method algorithm is developed for the numerical solution of the full six-dimensional Vlasov-Maxwell system of equations. Here, the focus is on the electron ditribution function, with positive ions providing a constant background. The algorithm consists of a Jacobi polynomial-spherical harmonic formulation in velocity space and a trigonometric formulation in position space. A transform procedure is used to evaluate nonlinear terms. The algorithm is suitable for performing moderate resolution simulations on currently available supercomputers for both scientific and engineering applications.



On The Instability Of Methods For The Integration Of Ordinary Differential Equations


On The Instability Of Methods For The Integration Of Ordinary Differential Equations
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Author : Heinz Rutishauser
language : en
Publisher:
Release Date : 1956

On The Instability Of Methods For The Integration Of Ordinary Differential Equations written by Heinz Rutishauser and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1956 with Differential equations categories.


Examples and a criterion for stability of integration methods is provided. The criterion is applied to well-known integration formulas.



Chebyshev And Fourier Spectral Methods


Chebyshev And Fourier Spectral Methods
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Author : John P. Boyd
language : en
Publisher: Courier Corporation
Release Date : 2001-12-03

Chebyshev And Fourier Spectral Methods written by John P. Boyd and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-12-03 with Mathematics categories.


Completely revised text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, as well as cardinal functions, linear eigenvalue problems, matrix-solving methods, coordinate transformations, methods for unbounded intervals, spherical and cylindrical geometry, and much more. 7 Appendices. Glossary. Bibliography. Index. Over 160 text figures.



Methods Of Contour Integration


Methods Of Contour Integration
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Author : M. L. Rasulov
language : en
Publisher: Elsevier
Release Date : 2014-12-03

Methods Of Contour Integration written by M. L. Rasulov and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-03 with Mathematics categories.


Methods of Contour Integration contains two parts: (1) a systematic exposition of the computational method for solving boundary and mixed problems, and (2) the contour-integral method for investigating general linear mixed problems. The first part includes formulae for expanding arbitrary vector-valued functions in series from integral residues of solutions of boundary-value problems for systems of ordinary differential equations with discontinuous coefficients. These formulae give residue representations of solutions of the corresponding one-dimensional mixed problems for equations with discontinuous coefficients. The book also explains a computational method of separating the variables which is a generalization of the ordinary method of separating variables to the case of nonself-adjoint operators. In part two, the text discusses one-dimensional mixed problems for equations with discontinuous coefficients. Under regular boundary conditions, it proves the existence of solutions for these problems and the representability of the solutions in the form of contour integrals with a complex parameter. The text points out that the contour-integral method is also applicable to parabolic equations and to equations in which the coefficients are functions of time. The book is ideal for mathematicians, students, and professor of calculus and advanced mathematics.