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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：New revival phenomena for bidirectional dispersive hyperbolic equations
双向离散 双曲型方程 新复活现象
2023/11/13
In this talk, the dispersive revival and fractalization phenomena for bidirectional dispersive equations on a bounded interval subject to periodic boundary conditions and discontinuous initial profile...
Nonconforming H1-Galerkin Mixed Finite Element Method for Pseudo-Hyperbolic Equations
Pseudo-Hyperbolic Equation Nonconforming H1-Galerkin Mixed Finite Element Error Estimate
2013/1/30
Based on H1-Galerkin mixed finite element method with nonconforming quasi-Wilson element, a numerical approximate scheme is established for pseudo-hyperbolic equations under arbitrary quadrilateral me...
Coupling techniques for nonlinear hyperbolic equations. IV. Multi-component coupling and multidimensional well-balanced schemes
nonlinear hyperbolic equations Multi-component coupling multidimensional well-balanced schemes Analysis of PDEs
2012/6/14
This series of papers is devoted to the formulation and the approximation of coupling problems for nonlinear hyperbolic equations. The coupling across an interface in the physical space is formulated ...
On the well-posedness of weakly hyperbolic equations with time dependent coefficients
Hyperbolic equations Gevrey spaces ultradistributions Analysis of PDEs
2011/9/5
Abstract: In this paper we analyse the Gevrey well-posedness of the Cauchy problem for weakly hyperbolic equations of general form with time-dependent coefficients. The results involve the order of lo...
Propagation of analyticity for a class of nonlinear hyperbolic equations
Propagation of analyticity class of nonlinear hyperbolic equations
2011/2/22
We consider the hyperbolic semilinear equations of the form @m t u + a1(t) @m−1 t @xu + · · · + am(t) @m x u = f(u),f(u) entire analytic.
A note of the impulsive sixth order hyperbolic equations of neutral type
Oscillation Hyperbolic equation Impulses
2010/9/16
In this paper we extend the oscillation criteria of impulsive hyperbolic equations with neutral type for sixth-order case in [3].
In this paper, we present a four order unconditionally stable implicit scheme for hyperbolic equations. Based on the scheme a class of parallel alternating group explicit (AGE) iterative method is der...
Integrable hyperbolic equations of sin-Gordon type
Integrable hyperbolic equations sin-Gordon type
2010/4/7
A complete list of nonlinear one-field hyperbolic equations having generalized integrable x- and y-symmetries of the third order is presented. The list includes both sin-Gordon type equations and equa...
HIGH ACCURACY ANALYSIS FOR FIRST ORDER HYPERBOLIC EQUATIONS BY PETROV-GALERKIN METHODS
Petrov-Galerldn methods global supercon
2007/8/7
In this paper we employ the Petrov-Galerbo method for the first order hyperbolic problems to get the Galerkin approtoation of high accuracy by means of the interpolation postprocessing, extrapolation ...
We develop the interpolated finite element method to solve second-order hyperbolic equations. The standard linear finite element solution is used to generate a newsolution by quadratic interpolation o...
Generalized Solutions of a Class of Linear and Quasi-Linear Degenerated Hyperbolic Equations
Linear Quasi-Linear Degenerated Hyperbolic Equations
2010/3/3
The equation L(u):=k(y)uxx-\partialy(\ell(y)uy)+r(x,y)u=f(x,y,u), where k(y)>0, \ell(y)>0 for y>0,k(0)=\ell(0)=0 and limy\rightarrow 0k(y)/\ell(y) exists, is strictly hyperbolic for y>0 and its order ...