ABSTRACT We describe a quasi-conservative finite difference AWENO scheme with the affine-invariant Z-type nonlinear weights (Ai-AWENO) for the γ-based model....

ABSTRACT In this talk, I will discuss with the transverse spectral instability of the one-dimensional su?ciently small and periodic traveling wave solutions of the (2+1)-dimensional Euler-Korteweg ...

ABSTRACT Two-phase flows in porous media is known as the Muskat problem. The Muskat problem can be ill-posed....

ABSTRACT In this talk we will develop the asymptotic likelihood theory for triangular arrays of stationary Gaussian time series depending on a multidimensional unknown parameter....

ABSTRACT In this talk we will develop the asymptotic likelihood theory for triangular arrays of stationary Gaussian time series depending on a multidimensional unknown parameter....

ABSTRACT Newly emerging imaging methods lead to the inverse problem of determining one or several coefficient function(s) in an elliptic partial differential equation from (partial) knowledge of it...

ABSTRACT We propose constraint dissolving approaches for optimization problems over  a class of Riemannian manifolds....

ABSTRACT In this talk, we introduce a so-called second-order flow approach, a novel computational framework based on dissipative second-order hyperbolic partial differential equations (PDEs) design...

ABSTRACT The Feynman-Kac formula establishes the probabilistic representation of solutions to PDEs, linking the convergence of numerical schemes for PDEs to limit theorems in probability theory....

ABSTRACT Herr and Kwak had recently established sharp estimates for certain exponential sums on the 3 dimensional torus by counting rectangles in the plane....