Euler Versus Lagrange: The Role of Coordinates in Practical Evans-Function Computations
暂无分享,去创建一个
Kevin Zumbrun | Blake Barker | Jeffrey Humpherys | Gregory Lyng | B. Barker | K. Zumbrun | J. Humpherys | G. Lyng | Gregory Lyng
[1] Kevin Zumbrun. Stability of Large-Amplitude Shock Waves of Compressible Navier–Stokes Equations , 2005 .
[2] Richard Courant,et al. Supersonic Flow And Shock Waves , 1948 .
[3] Kevin Zumbrun,et al. Stability of Isentropic Navier–Stokes Shocks in the High-Mach Number Limit , 2007, 0705.4244.
[4] B. Barker,et al. Balanced flux formulations for multidimensional Evans-function computations for viscous shocks , 2017, 1703.02099.
[5] B. Barker,et al. One-dimensional stability of parallel shock layers in isentropic magnetohydrodynamics , 2009, 0906.1208.
[6] J. Alexander,et al. A topological invariant arising in the stability analysis of travelling waves. , 1990 .
[7] B. Barker,et al. Stability of Viscous Shocks in Isentropic Gas Dynamics , 2007, 0705.4237.
[8] Kevin Zumbrun,et al. Efficient Computation of Analytic Bases in Evans Function Analysis of Large Systems , 2006, Numerische Mathematik.
[9] Veerle Ledoux,et al. Grassmannian spectral shooting , 2007, Math. Comput..
[10] W. H. Reid,et al. An initial value method for eigenvalue problems using compound matrices , 1979 .
[11] Kevin Zumbrun,et al. Stability of isentropic Navier-Stokes shocks , 2008, Appl. Math. Lett..
[12] B. Barker,et al. Numerical proof of stability of viscous shock profiles , 2016, 1601.00837.
[13] Kevin Zumbrun,et al. Spectral Stability of Ideal-Gas Shock Layers , 2009 .
[14] Thomas J. Bridges,et al. Stability and instability of solitary waves of the fifth-order KdV equation: a numerical framework , 2002 .
[15] Kevin Zumbrun,et al. Pointwise Green Function Bounds for Shock Profiles of Systems with Real Viscosity , 2003 .
[16] Kevin Zumbrun,et al. An efficient shooting algorithm for Evans function calculations in large systems , 2006 .
[17] B. Sandstede,et al. Chapter 18 - Stability of Travelling Waves , 2002 .
[18] Leon Q. Brin,et al. Numerical testing of the stability of viscous shock waves , 2001, Math. Comput..
[19] W. H. Reid,et al. A Numerical Method for Linear Two-Point Boundary-Value Problems Using Compound Matrices. , 1979 .
[20] W. H. Reid,et al. On the numerical solution of the Orr-Sommerfeld problem: Asymptotic initial conditions for shooting methods , 1980 .
[21] K. Zumbrun,et al. O(2) Hopf bifurcation of viscous shock waves in a channel , 2014, 1401.2197.
[22] Tosio Kato. Perturbation theory for linear operators , 1966 .
[23] J. Alexander,et al. LINEAR INSTABILITY OF SOLITARY WAVES OF A BOUSSINESQ-TYPE EQUATION: A COMPUTER ASSISTED COMPUTATION , 1999 .
[24] Kevin Zumbrun,et al. Multidimensional Stability of Large-Amplitude Navier–Stokes Shocks , 2016, 1603.03955.
[25] Todd Kapitula,et al. Spectral and Dynamical Stability of Nonlinear Waves , 2013 .
[26] Blake Barker,et al. STABLAB Documentation for KdV : Numerical proof of stability of roll waves in the small-amplitude limit for inclined thin film flow , 2014, ArXiv.
[27] Thomas J. Bridges,et al. Numerical exterior algebra and the compound matrix method , 2002, Numerische Mathematik.
[28] G. Batchelor,et al. An Introduction to Fluid Dynamics , 1968 .
[29] Jeffrey Humpherys,et al. Root Following in Evans Function Computation , 2015, SIAM J. Numer. Anal..
[30] Kevin Zumbrun,et al. The gap lemma and geometric criteria for instability of viscous shock profiles , 1998 .
[31] W. H. Reid,et al. The compound matrix method for ordinary differential systems , 1985 .
[32] K. Zumbrun,et al. Stability of Viscous Weak Detonation Waves for Majda’s Model , 2013, 1307.4416.
[33] Jitse Niesen,et al. Computing Stability of Multidimensional Traveling Waves , 2008, SIAM J. Appl. Dyn. Syst..
[34] K. Zumbrun,et al. Stability of Large-Amplitude Viscous Shock Profiles of Hyperbolic-Parabolic Systems , 2004 .
[35] Kevin Zumbrun,et al. Viscous Hyperstabilization of Detonation Waves in One Space Dimension , 2013, SIAM J. Appl. Math..