Computer generated generalized propagation techniques

DOI10.1016/0893-9659(91)90152-LzbMath0734.65047MaRDI QIDQ811093

Björn Hermansson, Moses Glasner, David Yevick

Publication date: 1991

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

functional calculuselectric field computationexponential of a sum of linear operatorsfield propagationminimal number of operatorssymbolic manipulation program

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Numerical solutions to equations with linear operators (65J10) Electromagnetic theory (general) (78A25) Basic methods for problems in optics and electromagnetic theory (78M99)

Related Items

Generalized Padé approximants - application to split operator alternating direction implicit finite difference and finite element techniques, Generalized propagation techniques for longitudinally varying refractive index distributions, Multi-product splitting and Runge-Kutta-Nyström integrators

Cites Work

• Generalized Trotter's formula and systematic approximants of exponential operators and inner derivations with applications to many-body problems
• Third order difference methods for hyperbolic equations
• Accurate partial difference methods. I: Linear Cauchy problems
• On the Product of Semi-Groups of Operators
• Nineteen Dubious Ways to Compute the Exponential of a Matrix