Numerical methods for weak solution of wave equation with van der Pol type nonlinear boundary conditions

A Fast and Stable Preconditioned Iterative Method for Optimal Control Problem of Wave Equations, Observability and Observers for a Class of Two-Dimensional Hyperbolic PDE Chaotic Systems, Chaotic oscillations of 1D wave equation with or without energy-injections, Boundary observability of wave equations with nonlinear van der Pol type boundary conditions, Reconstruction of initial wave with radiation boundary condition via boundary sensing, Unnamed Item

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A new class of central compact schemes with spectral-like resolution. I: Linear schemes
Upwind schemes for the wave equation in second-order form
A local discontinuous Galerkin method for the second-order wave equation
A CCD-ADI method for unsteady convection-diffusion equations
Maximum norm error estimates of efficient difference schemes for second-order wave equations
Numerical resolution of discontinuous Galerkin methods for time dependent wave equations
High order finite difference methods for wave propagation in discontinuous media
Stable and accurate wave-propagation in discontinuous media
Growth rates of total variations of snapshots of 1D linear wave equations with nonlinear right-end boundary conditions
Compact finite difference schemes with spectral-like resolution
A three-point combined compact difference scheme
Compatibility conditions for time-dependent partial differential equations and the rate of convergence of Chebyshev and Fourier spectral methods
A new characterization of nonisotropic chaotic vibrations of the one-dimensional linear wave equation with a van der Pol boundary condition.
Adaptive quadrature -- Revisited
Combined compact difference scheme for linear second-order partial differential equations with mixed derivative
Vectorized adaptive quadrature in MATLAB
The Convergence of Spectral and Finite Difference Methods for Initial-Boundary Value Problems
Observer Design for Wave Equations with van der Pol Type Boundary Conditions
Efficient Algorithms for Solving Partial Differential Equations with Discontinuous Solutions
Superconvergence of Discontinuous Galerkin and Local Discontinuous Galerkin Schemes for Linear Hyperbolic and Convection-Diffusion Equations in One Space Dimension
A penalty method for numerically handling dispersive equations with incompatible initial and boundary data
A high-order finite difference method for 1D nonhomogeneous heat equations
Chaotic vibrations of the one-dimensional wave equation due to a self-excitation boundary condition. Part I: Controlled hysteresis
The buffer phenomenon in a mathematical model of the van der Pol self-oscillator with distributed parameters
On the Nature of Initial-Boundary Value Solutions for Dispersive Equations
GROWTH RATES OF TOTAL VARIATIONS OF SNAPSHOTS OF THE 1D LINEAR WAVE EQUATION WITH COMPOSITE NONLINEAR BOUNDARY REFLECTION RELATIONS
Difference Approximations of the Neumann Problem for the Second Order Wave Equation
NONISOTROPIC SPATIOTEMPORAL CHAOTIC VIBRATION OF THE WAVE EQUATION DUE TO MIXING ENERGY TRANSPORT AND A VAN DER POL BOUNDARY CONDITION
Difference Approximations for the Second Order Wave Equation
Analysis of Optimal Superconvergence of Discontinuous Galerkin Method for Linear Hyperbolic Equations
Synchronizing spatiotemporal chaos
Chaotic Vibrations of the One-Dimensional Wave Equation due to a Self-Excitation Boundary Condition.
Chaotic Vibrations of the One-Dimensional Wave Equation Due to a Self-Excitation Boundary Condition.
RAPID FLUCTUATIONS OF SNAPSHOTS OF ONE-DIMENSIONAL LINEAR WAVE EQUATION WITH A VAN DER POL NONLINEAR BOUNDARY CONDITION