EXPONENTIAL RUNGE-KUTTA METHODS FOR STIFF KINETIC EQUATIONS - DIMARCO, GIACOMO; PARESCHI, LORENZO (SIAM journal on numerical analysis, 2011)
Keywords: Boltzmann equation; Coefficients; Convexity; Decomposition; Entropy; Equilibrium; Exact sciences and technology; Kinetic equations; Kinetics; Mathematical analysis; Mathematics; Measure and integration; Molecules; Monte Carlo methods; Nonlinear algebraic and transcendental equations; Numerical analysis; Numerical analysis. Scientific computation; Ordinary differential equations; Runge Kutta method; Sciences and techniques of general use; Boltzmann equation; exponential integrators; Differential equation; fluid limits; Decomposition method; 35Q20; Non linear equation; Runge-Kutta methods; Integrodifferential equation; Numerical stability; 65M75; Entropy solution; Transcendental equation; Transport equation; 65L06; Integration; Collision operator; 65L04; Asymptotic behavior; Runge Kutta method; Non linear system; Equation system; Extrapolation; Numerical analysis; Sufficient condition; Multistep method; stiff equations; Kinetic equation; Algebraic equation; asymptotic preserving schemes