The Experts below are selected from a list of 135 Experts worldwide ranked by ideXlab platform
Thomas Pröpper - One of the best experts on this subject based on the ideXlab platform.
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Solution of Maxwell's equations
Computer Physics Communications, 1992Co-Authors: Michael Bartsch, Reinhard Klatt, Micha Dehler, Martin Dohlus, F. Ebeling, Peter Hahne, Frank Krawczyk, Michaela Marx, Zhang Min, Thomas PröpperAbstract:Abstract A numerical approach for the solution of Maxwell's equations is presented. Based on a finite difference Yee lattice the method transforms each of the four Maxwell equations into an equivalent Matrix expression that can be subsequently treated by Matrix Mathematics and suitable numerical methods for solving Matrix problems. The algorithm, although derived from integral equations, can be considered to be a special case of finite difference formalisms. A large variety of two- and three-dimensional field problems can be solved by computer programs based on this approach: electrostatics and magnetostatics, low-frequency eddy currents in solid and laminated iron cores, high-frequency modes in resonators, waves on dielectric or metallic waveguides, transient fields of antennas and waveguide transitions, transient fields of free-moving bunches of charged particles etc.
Takayuki Omoso - One of the best experts on this subject based on the ideXlab platform.
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The explicit solutions to the nonlinear Dirac equation and Dirac-Klein-Gordon equation
Ricerche di Matematica, 2007Co-Authors: Shuji Machihara, Takayuki OmosoAbstract:In [3] Dias and Figueira have reported that the square of the solution for the nonlinear Dirac equation satisfies the linear wave equation in one space dimension. So the aim of this paper is to proceed with their work and to clarify a structure of the nonlinear Dirac equation. The explicit solutions to the nonlinear Dirac equation and Dirac-Klein-Gordon equation are obtained. Keywords: Nonlinear Dirac equation, Dirac-Klein-Gordon equation, Pauli Matrix Mathematics Subject Classification (2000): 35C05, 35L45
Michael Bartsch - One of the best experts on this subject based on the ideXlab platform.
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Solution of Maxwell's equations
Computer Physics Communications, 1992Co-Authors: Michael Bartsch, Reinhard Klatt, Micha Dehler, Martin Dohlus, F. Ebeling, Peter Hahne, Frank Krawczyk, Michaela Marx, Zhang Min, Thomas PröpperAbstract:Abstract A numerical approach for the solution of Maxwell's equations is presented. Based on a finite difference Yee lattice the method transforms each of the four Maxwell equations into an equivalent Matrix expression that can be subsequently treated by Matrix Mathematics and suitable numerical methods for solving Matrix problems. The algorithm, although derived from integral equations, can be considered to be a special case of finite difference formalisms. A large variety of two- and three-dimensional field problems can be solved by computer programs based on this approach: electrostatics and magnetostatics, low-frequency eddy currents in solid and laminated iron cores, high-frequency modes in resonators, waves on dielectric or metallic waveguides, transient fields of antennas and waveguide transitions, transient fields of free-moving bunches of charged particles etc.
Shuji Machihara - One of the best experts on this subject based on the ideXlab platform.
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The explicit solutions to the nonlinear Dirac equation and Dirac-Klein-Gordon equation
Ricerche di Matematica, 2007Co-Authors: Shuji Machihara, Takayuki OmosoAbstract:In [3] Dias and Figueira have reported that the square of the solution for the nonlinear Dirac equation satisfies the linear wave equation in one space dimension. So the aim of this paper is to proceed with their work and to clarify a structure of the nonlinear Dirac equation. The explicit solutions to the nonlinear Dirac equation and Dirac-Klein-Gordon equation are obtained. Keywords: Nonlinear Dirac equation, Dirac-Klein-Gordon equation, Pauli Matrix Mathematics Subject Classification (2000): 35C05, 35L45
H X Chen - One of the best experts on this subject based on the ideXlab platform.
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Four-dimensional Vector Matrix Determinant and Inverse
International Journal of Engineering and Manufacturing, 2012Co-Authors: A J Sang, H J Bao, H X Chen, G Q ZhaoAbstract:The theory of two-dimensional Matrix has been popularized in multi-dimensional Matrix. However applications of multi-dimensional Matrix also bring space redundancy and time redundancy, we put forward a multidimensional vector Matrix model. This is new series of study to define multidimensional vector Matrix Mathematics, including four-dimensional vector Matrix determinant, four-dimensional vector Matrix inverse and related properties. There is innovative concept of multi-dimensional vector Matrix Mathematics created by author with numerous applications in engineering, math, video conferencing, 3D TV, and other fields.
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Inverse Operation of Four-dimensional Vector Matrix
International Journal of Intelligent Systems and Applications, 2011Co-Authors: H J Bao, A J Sang, H X ChenAbstract:This is a new series of study to define and prove multidimensional vector Matrix Mathematics, which includes four-dimensional vector Matrix determinant, four- dimensional vector Matrix inverse and related properties. There are innovative concepts of multi-dimensional vector Matrix Mathematics created by authors with numerous applications in engineering, math, video conferencing, 3D TV, and other fields.