Convergence to steady state of solutions of Burgers' equation
From MaRDI portal
Publication:1094846
DOI10.1016/0168-9274(86)90026-7zbMath0631.65121OpenAlexW2065676431MaRDI QIDQ1094846
Gunilla Kreiss, Heinz-Otto Kreiss
Publication date: 1986
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/2060/19860009593
Gas dynamics (general theory) (76N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications to the sciences (65Z05)
Related Items (29)
Burgers equation with no-flux boundary conditions and its application for complete fluid separation ⋮ The impact of finite precision arithmetic and sensitivity on the numerical solution of partial differential equations ⋮ A multigrid upwind strategy for accelerating steady‐state computations of waves propagating with curvature‐dependent speeds ⋮ Splitting scheme for the stability of strong shock profile ⋮ Metastability for scalar conservation laws in a bounded domain ⋮ On the Asymptotic and Numerical Analyses of Exponentially III‐Conditioned Singularly Perturbed Boundary Value Problems ⋮ Metastability for nonlinear convection-diffusion equations ⋮ On exponential ill-conditioning and internal layer behavior ⋮ Viscous Shock Motion for Advection‐Diffusion Equations ⋮ On the uniqueness of solutions in inverse problems for Burgers' equation under a transverse diffusion ⋮ Existence and stability of steady compressible Navier-Stokes solutions on a finite interval with noncharacteristic boundary conditions ⋮ On partial differential equations related to Lorenz system ⋮ Stability of viscous shocks on finite intervals ⋮ Transition to turbulence, small disturbances, and sensitivity analysis. I: A motivating problem ⋮ Transition to turbulence, small disturbances, and sensitivity analysis. II: The Navier-Stokes equations ⋮ A numerical study of stationary solution of viscous Burgers’ equation using wavelet ⋮ Small time global null controllability for a viscous Burgers' equation despite the presence of a boundary layer ⋮ Stationary solutions for a boundary controlled Burgers' equation ⋮ Time-discretization schema for a semilinear pseudo-parabolic equation with integral conditions ⋮ Slow dynamics in reaction–diffusion systems ⋮ Convergence of a homotopy finite element method for computing steady states of Burgers’ equation ⋮ Multiple steady states for characteristic initial value problems ⋮ Asymptotic behavior for the viscous Burgers equation with a stationary source ⋮ Slow motion of internal shock layers for the Jin-Xin system in one space dimension ⋮ On the Fourth-Order Accurate Compact ADI Scheme for Solving the Unsteady Nonlinear Coupled Burgers' Equations ⋮ Time-Delayed Instabilities in Complex Burgers Equations ⋮ Resolving weak internal layer interactions for the Ginzburg–Landau equation ⋮ Wave patterns, stability, and slow motions in inviscid and viscous hyperbolic equations with stiff reaction terms ⋮ Robust numerical scheme for nonlinear modified Burgers equation
Cites Work
This page was built for publication: Convergence to steady state of solutions of Burgers' equation