Galerkin/Runge-Kutta discretization for the nonlinear Schroedinger equation

Miscellaneous · Tue Jan 01 00:00:00 EST 1991

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
• Resource Relation: Other Information: Thesis (Ph.D.)
• Country of Publication: United States
• Language: English

Related Subjects

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