Continuum limit of lattice approximation schemes

DOI10.1063/1.532063zbMath0902.47008OpenAlexW2042276203MaRDI QIDQ4352189

Alexander Tovbis, Carl M. Bender

Publication date: 9 December 1998

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

Full work available at URL: https://stars.library.ucf.edu/facultybib1990/1848

zbMATH Keywords

continuum limitquantum field theoryTaylor seriessingular perturbation problemsboundary-layer problemboundary-layer perturbation theorylattice approximation schemesoptimal discretization schemetransformation from a singular to a regular perturbation problem

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) General theory of ordinary differential operators (47E05) Quantum field theory on lattices (81T25) Perturbation theories for operators and differential equations in quantum theory (81Q15)

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Cites Work

• A novel approach to the solution of boundary-layer problems
• Numerical chaos, symplectic integrators, and exponentially small splitting distances
• Asymptotics beyond all orders and analytic properties of inverse Laplace transforms of solutions