An optimized quadrature scheme for evaluating general higher-order phase integrals

DOI10.1016/0021-9991(87)90022-2zbMath0627.65019OpenAlexW2076209795MaRDI QIDQ1092600

Jussi Luppi

Publication date: 1987

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(87)90022-2

zbMATH Keywords

contour integralproduct integrationWKB methodsLobatto-Chebyshev quadratureGauss-Chebyshev quadraturefinite Chebyshev series sumhigher-order quantum-mechanical phase integralsphase integralsquantum scattering model

Mathematics Subject Classification ID

General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) (2)-body potential quantum scattering theory (81U05) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (1)

Symbolic computation and automatic FORTRAN code generation for eigenvalue determination by phase integral method

Cites Work

• Unnamed Item
• Some new characterizations of the Chebyshev polynomials
• Efficient computation of the Prüfer phase function for determining eigenvalues of Sturm-Liouville systems

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