Galerkin/Runge-Kutta discretization for the nonlinear Schroedinger equation

Thesis/Dissertation · Mon Dec 31 23:00:00 EST 1990

OSTI ID:7031203

Lee, H Y

A class of fully discrete high-order Galerkin Runge-Kutta methods are constructed and analyzed for the nonlinear Schroedinger equation. Optimal order error estimates are established for the O-boundary and periodic boundary value problems, and several computational results such as the order of the temporal accuracy, preservation of two invariants, various kinds of errors are presented. Furthermore, it is noted that these methods allow computations to be performed in parallel so that the final execution time can be reduced to that of a low order method.

• Research Organization: Tennessee Univ., Knoxville, TN (United States)
• OSTI ID: 7031203
• Country of Publication: United States
• Language: English

Related Subjects

661100* -- Classical & Quantum Mechanics-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOUNDARY-VALUE PROBLEMS
DIFFERENTIAL EQUATIONS
EQUATIONS
ERRORS
GALERKIN-PETROV METHOD
ITERATIVE METHODS
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
RUNGE-KUTTA METHOD
SCHROEDINGER EQUATION
WAVE EQUATIONS