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Explicit FDTD method based on iterated Crank–Nicolson scheme
by
Shibayama, Jun
, Nakano, Hisamatsu
, Nishio, Tomomasa
, Yamauchi, Junji
in
Algorithms
/ Crank-Nicholson method
/ Differential equations (numerical analysis)
/ Eigenvalues
/ Einstein equations
/ Function theory, analysis
/ Interpolation and function approximation (numerical analysis)
/ Methods
/ Numerical analysis
/ Numerical approximation and analysis
/ Other numerical methods
/ Sparsity
2022
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Explicit FDTD method based on iterated Crank–Nicolson scheme
by
Shibayama, Jun
, Nakano, Hisamatsu
, Nishio, Tomomasa
, Yamauchi, Junji
in
Algorithms
/ Crank-Nicholson method
/ Differential equations (numerical analysis)
/ Eigenvalues
/ Einstein equations
/ Function theory, analysis
/ Interpolation and function approximation (numerical analysis)
/ Methods
/ Numerical analysis
/ Numerical approximation and analysis
/ Other numerical methods
/ Sparsity
2022
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Do you wish to request the book?
Explicit FDTD method based on iterated Crank–Nicolson scheme
by
Shibayama, Jun
, Nakano, Hisamatsu
, Nishio, Tomomasa
, Yamauchi, Junji
in
Algorithms
/ Crank-Nicholson method
/ Differential equations (numerical analysis)
/ Eigenvalues
/ Einstein equations
/ Function theory, analysis
/ Interpolation and function approximation (numerical analysis)
/ Methods
/ Numerical analysis
/ Numerical approximation and analysis
/ Other numerical methods
/ Sparsity
2022
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Explicit FDTD method based on iterated Crank–Nicolson scheme
Journal Article
Explicit FDTD method based on iterated Crank–Nicolson scheme
2022
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Overview
An implicit Crank–Nicolson procedure can be replaced with an explicit iteration process. An explicit finite‐difference time‐domain method based on the iterated Crank–Nicolson scheme that has been widely used for solving Einstein's equations is newly developed. The formulation is presented with two iterations and its stability condition is also derived. Numerical results are found to agree well with those obtained from the traditional explicit finite‐difference time‐domain method, showing the validity of the present iterated Crank–Nicolson–finite‐difference time‐domain method.
Publisher
John Wiley & Sons, Inc,Wiley
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