Evans function computation for the stability of travelling waves

No abstract is available for this paper.

• Publication year

  2018

• Venue

  Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

• Publication date

  2018-04-13

• Fields of study

  Mathematics, Medicine

• Identifiers
  DOI 10.1098/rsta.2017.0184PMID 29507169PMCID PMC5869606
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

• Euler Versus Lagrange: The Role of Coordinates in Practical Evans-Function Computations

  2018cited by this paper
• Balanced flux formulations for multidimensional Evans-function computations for viscous shocks

  2017cited by this paper
• Computing Evans functions numerically via boundary-value problems

  2017cited by this paper
• Numerical proof of stability of viscous shock profiles

  2016cited by this paper
• Multidimensional Stability of Large-Amplitude Navier–Stokes Shocks

  2016cited by this paper
• Root Following in Evans Function Computation

  2015cited by this paper
• Study of a Model Equation in Detonation Theory: Multidimensional Effects

  2015cited by this paper
• Adaptive isogeometric methods with hierarchical splines: error estimator and convergence

  2015cited by this paper
• Viscous Hyperstabilization of Detonation Waves in One Space Dimension

  2013cited by this paper
• Stability of Viscous Weak Detonation Waves for Majda’s Model

  2013cited by this paper
• Stability of viscous detonations for Majda’s model

  2013cited by this paper
• Spectral and Dynamical Stability of Nonlinear Waves

  2013cited by this paper
• Spectral Behavior of Combustion Fronts with High Exothermicity

  2013cited by this paper
• Convex Entropy, Hopf Bifurcation, and Viscous and Inviscid Shock Stability

  2012cited by this paper
• Nonlinear modulational stability of periodic traveling-wave solutions of the generalized Kuramoto–Sivashinsky equation

  2012cited by this paper
• Detecting exponential dichotomy on the real line: SVD and QR algorithms

  2011cited by this paper
• Instability of Local Deformations of an Elastic Rod: Numerical Evaluation of the Evans Function

  2011cited by this paper
• Exponential dichotomy on the real line: SVD and QR methods

  2010cited by this paper
• Stability of Traveling Waves for a Class of Reaction-Diffusion Systems That Arise in Chemical Reaction Models

  2010cited by this paper
• Communications in Mathematical Physics Stability of Isentropic Navier – Stokes Shocks in the High-Mach Number Limit ∗

  2009cited by this paper
• Numerical error analysis for Evans function computations: a numerical gap lemma, centered-coordinate methods, and the unreasonable effectiveness of continuous orthogonalization

  2009cited by this paper
• Evans Function Computation

  2009cited by this paper
• Derivatives of (Modified) Fredholm Determinants and Stability of Standing and Traveling Waves

  2008cited by this paper
• A Sixth-Order Extension to the MATLAB Package bvp4c of J. Kierzenka and L. Shampine

  2008cited by this paper
• On the Error in QR Integration

  2008cited by this paper
• Continuation of Invariant Subspaces in Large Bifurcation Problems

  2008cited by this paper
• On the shock wave spectrum for isentropic gas dynamics with capillarity

  2008cited by this paper
• A local greedy algorithm and higher-order extensions for global numerical continuation of analytically varying subspaces

  2008cited by this paper
• Stability of Viscous Shocks in Isentropic Gas Dynamics

  2007cited by this paper
• Existence and stability of curved multidimensional detonation fronts

  2007cited by this paper
• Grassmannian spectral shooting

  2007cited by this paper
• Spectral Stability of Ideal-Gas Shock Layers

  2007cited by this paper
• Pointwise Green function bounds and stability of combustion waves

  2006cited by this paper
• Efficient Computation of Analytic Bases in Evans Function Analysis of Large Systems

  2006cited by this paper
• Equivalence of low frequency stability conditions for multidimensional detonations in three models of combustion

  2005cited by this paper
• An efficient shooting algorithm for Evans function calculations in large systems

  2005cited by this paper
• Accurate Spatial Resolution Estimates for Reactive Supersonic Flow with Detailed Chemistry

  2005cited by this paper
• Stability of Large-Amplitude Shock Waves of Compressible Navier–Stokes Equations

  2003cited by this paper
• Evans Function Stability of Combustion Waves

  2003cited by this paper
• A stability index for detonation waves in Majda’s model for reacting flow

  2003cited by this paper
• One-Dimensional Stability of Viscous Strong Detonation Waves

  2003cited by this paper
• Stability and instability of solitary waves of the fifth-order KdV equation: a numerical framework

  2002cited by this paper
• Chapter 18 - Stability of Travelling Waves

  2002cited by this paper
• Numerical exterior algebra and the compound matrix method

  2002cited by this paper
• Numerical testing of the stability of viscous shock waves

  2001cited by this paper
• Alternate Evans Functions and Viscous Shock Waves

  2001cited by this paper
• Orthonormal integrators based on Householder and Givens transformations

  2000cited by this paper
• Continuous Orthonormalization for Linear Two-Point Boundary Value Problems Revisited

  2000cited by this paper
• LINEAR INSTABILITY OF SOLITARY WAVES OF A BOUSSINESQ-TYPE EQUATION: A COMPUTER ASSISTED COMPUTATION

  1999cited by this paper
• Stability of bright solitary-wave solutions to perturbed nonlinear Schro

  1998cited by this paper
• The gap lemma and geometric criteria for instability of viscous shock profiles

  1998cited by this paper
• Time-stepping and preserving orthonormality

  1997cited by this paper
• Semiclassical eigenvalue distribution of the Zakharov-Shabat eigenvalue problem

  1996cited by this paper
• Periodic phenomena in Proteus mirabilis swarm colony development

  1996cited by this paper
• Observation of two-dimensional spatial solitary waves in a quadratic medium.

  1995cited by this paper
• Stabilization of DAEs and invariant manifolds

  1994cited by this paper
• Unitary integrators and applications to continuous orthonormalization techniques

  1994cited by this paper
• A geometric singular perturbation analysis of detonation and deflagration waves

  1993cited by this paper
• Calculation of linear detonation instability: one-dimensional instability of plane detonation

  1990cited by this paper
• Localized traveling-wave states in binary-fluid convection.

  1990cited by this paper
• A topological invariant arising in the stability analysis of travelling waves.

  1990cited by this paper
• Geometric Theory of Semilinear Parabolic Equations

  1989cited by this paper
• A New Basis Implementation for a Mixed Order Boundary Value ODE Solver

  1987cited by this paper
• The compound matrix method for ordinary differential systems

  1985cited by this paper
• An automatic orthonormalization method for solving stiff boundary-value problems

  1983cited by this paper
• On the detonation of a combustible gas

  1983cited by this paper
• Qualitative model for dynamic combustion

  1981cited by this paper
• On the numerical solution of the Orr-Sommerfeld problem: Asymptotic initial conditions for shooting methods

  1980cited by this paper
• Numerical solution of Orr—Sommerfeld-type equations

  1980cited by this paper
• A Numerical Method for Linear Two-Point Boundary-Value Problems Using Compound Matrices.

  1979cited by this paper
• An initial value method for eigenvalue problems using compound matrices

  1979cited by this paper
• Dichotomies in Stability Theory

  1978cited by this paper
• On the stability of waves of nonlinear parabolic systems

  1976cited by this paper
• Control of chemotaxis in Physarum polycephalum

  1976cited by this paper
• Nerve Axon Equations: III Stability of the Nerve Impulse

  1972cited by this paper
• Nerve Axon Equations: II Stability at Rest

  1972cited by this paper
• Instability of the interface of two gases accelerated by a shock wave

  1969cited by this paper
• Solitary internal waves in deep water

  1967cited by this paper
• Experimental observations of the transition to detonation in an explosive gas

  1966cited by this paper
• Propagator matrices in elastic wave and vibration problems

  1966cited by this paper
• Stability of Steady‐State Equilibrium Detonations

  1962cited by this paper
• Supersonic Flow And Shock Waves

  1948cited by this paper

• Spatially inhomogeneous two-cycles in an integrodifference equation

  2025influential citation
• The Exponential of Skew-Symmetric Matrices: A Nearby Inverse and Efficient Computation of Derivatives

  2025cites this paper
• Instability of the Standing Pulse in Skew-Gradient Systems and Its Application to FitzHugh-Nagumo Type Systems

  2025cites this paper
• Convective stability of the critical waves of an FKPP-type model for self-organized growth

  2025cites this paper
• A study of the FitzHugh-Nagumo Model with diffusion term

  2025cites this paper
• The impact of a wind switch on the stability of traveling fronts in a reaction–diffusion model of fire propagation

  2024cites this paper
• Linear stability analysis of compressible boundary layer over an insulated wall: Existence of multiple new unstable modes for Mach number beyond 3

  2024cites this paper
• Linear stability analysis of compressible boundary layer over an insulated wall using compound matrix method: Existence of multiple unstable modes for Mach number beyond 3

  2024cites this paper
• Nonlinear Stability in a Free Boundary Model of Active Locomotion

  2024cites this paper
• A Deep Learning Approach to Optimizing Path Loss Prediction in 5G Wireless Networks

  2024cites this paper
• Convective stability of the critical waves of an FKPP growth process

  2023cites this paper
• Generalized and multi-oscillation solitons in the nonlinear Schrödinger equation with quartic dispersion.

  2023cites this paper
• General linear stability properties of monoclinal shallow waves

  2022cites this paper
• İlerleyen Yanma Dalgalarının Evans Fonksiyonu İle Spektral Kararlılığı

  2021cites this paper
• An Evans function for the linearised 2D Euler equations using Hill’s determinant

  2021cites this paper
• Traveling waves of an FKPP-type model for self-organized growth

  2021cites this paper
• Parameterization Method for Unstable Manifolds of Standing Waves on the Line

  2020cites this paper
• Domain Wall Motion in Axially Symmetric Spintronic Nanowires

  2020cites this paper
• Flame propagation in a porous medium

  2020cites this paper
• Existence and stability of steady noncharacteristic solutions on a finite interval of full compressible Navier–Stokes equations

  2019cites this paper
• Qualitative analysis of certain reaction-diffusion systems of the FitzHugh-Nagumo type

  2019cites this paper
• Stability of nonlinear waves and patterns and related topics

  2018cites this paper
• CONFLUENTES MATHEMATICI

  year unknowncites this paper