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Stability and Error Analysis for a Second-Order Fast Approximation of the One-dimensional Schrödinger Equation Under Absorbing Boundary Conditions - MaRDI portal

Stability and Error Analysis for a Second-Order Fast Approximation of the One-dimensional Schrödinger Equation Under Absorbing Boundary Conditions (Q4562337)

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scientific article; zbMATH DE number 6995889
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Stability and Error Analysis for a Second-Order Fast Approximation of the One-dimensional Schrödinger Equation Under Absorbing Boundary Conditions
scientific article; zbMATH DE number 6995889

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    Stability and Error Analysis for a Second-Order Fast Approximation of the One-dimensional Schrödinger Equation Under Absorbing Boundary Conditions (English)
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    19 December 2018
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    Schrödinger equation
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    absorbing boundary condition
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    fast algorithm
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    Crank-Nicolson method
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    convolution operator
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    \(\mathcal{Z}\)-transform
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    Gaussian quadrature
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    exponential sums
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    fully discrete finite difference scheme
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    stability
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    error estimate
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    computational complexity
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    numerical examples
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