A Spectral Method of Characteristics for Hyperbolic Problems
Copyright policy )A Spectral Method of Characteristics for Hyperbolic Problems
A spectral method is combined with a timestepping along the characteristics for numerical solution of first-order hyperbolic equations. Theorems about stability and convergence are proved. Numerical examples for one- and two-dimensional problems are given.
numerical examples, timestepping, convergence, characteristic finite element method, spectral method, stability, First-order nonlinear hyperbolic equations, Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs, Error bounds for initial value and initial-boundary value problems involving PDEs, optimal error estimates, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, method of characteristics, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
numerical examples, timestepping, convergence, characteristic finite element method, spectral method, stability, First-order nonlinear hyperbolic equations, Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs, Error bounds for initial value and initial-boundary value problems involving PDEs, optimal error estimates, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, method of characteristics, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
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