Advanced mathematical methods for scientists and engineers

Book · Sun Jan 01 04:00:00 EST 1978

OSTI ID:6978616

Bender, C M; Orszag, S A

This book gives a self-contained presentation of the methods of asymptotics and perturbation theory, methods useful for obtaining approximate analytical solutions to differential and difference equations. Parts and chapter titles are as follows: fundamentals - ordinary differential equations, difference equations; local analysis - approximate solution of linear differential equations, approximate solution of nonlinear differential equations, approximate solution of difference equations, asymptotic expansion of integrals; perturbation methods - perturbation series, summation series; and global analysis - boundary layer theory, WKB theory, multiple-scale analysis. An appendix of useful formulas is included. 147 figures, 43 tables. (RWR)

• OSTI ID: 6978616
• Country of Publication: United States
• Language: English

Related Subjects

658000* -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
ANALYTICAL SOLUTION
ASYMPTOTIC SOLUTIONS
BOUNDARY LAYERS
DIFFERENTIAL EQUATIONS
EQUATIONS
INTEGRALS
LAYERS
MATHEMATICS
NONLINEAR PROBLEMS
PERTURBATION THEORY
SERIES EXPANSION
WKB APPROXIMATION