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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Well-balanced positivity-preserving high-order discontinuous Galerkin methods for Euler equations with gravitation
引力 欧拉方程 高阶间断 Galerkin方法
2023/11/29
We develop high order discontinuous Galerkin (DG) methods with Lax-Friedrich fluxes for Euler equations under gravitational fields. Such problems may yield steady-state solutions and the density and p...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Arbitrarily high-order cut-off methods to preserve maximum bound principle for Allen-Cahn equations
Allen-Cahn equations 最大界限原理 任意高阶 截止方法
2023/4/14
A new class of high-order maximum principle preserving numerical methods is proposed for solving the semilinear Allen-Cahn equation. We start with the method consists of a $k$th-order multistep expone...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Calculation of high-order harmonic generation of atoms and molecules by combining time series prediction and neural networks
时间序列预测 神经网络计算 原子分子 高阶谐波生成
2023/5/9
High-order harmonic generation (HHG) from the interaction of ultra-intense laser pulses with atoms is an important tabletop short-wave coherent light source. Accurate quantum simulations of it present...
Improved High-Order Conversion From Boolean to Arithmetic Masking
Side-channel countermeasure high-order masking Boolean to arithmetic conversion
2018/4/10
Masking is a very common countermeasure against side channel attacks. When combining Boolean and arithmetic masking, one must be able to convert between the two types of masking, and the conversion al...
Very High Order Masking: Efficient Implementation and Security Evaluation
masking block ciphers, performances security evaluations
2017/7/4
In this paper, we study the performances and security of recent masking algorithms specialized to parallel implementations in a 32-bit embedded software platform, for the standard AES Rijndael and the...
High Order Masking of Look-up Tables with Common Shares
Side-channel countermeasure ISW probing model
2017/3/27
Masking is an effective countermeasure against side-channel attacks. In this paper, we improve the efficiency of the high-order masking of look-up tables countermeasure introduced at Eurocrypt 2014, b...
High-Order Conversion From Boolean to Arithmetic Masking
Side-channel attacks and countermeasures boolean and arithmetic masking ISW probing model
2017/3/21
Masking with random values is an effective countermeasure against side-channel attacks. For cryptographic algorithms combining arithmetic and Boolean masking, it is necessary to switch from arithmetic...
Direct Regression Modelling of High-order Moments in Big Data
Big data Higher-order moment U-statistics Estimating equation Divide-and-conquer
2016/1/26
Big data problems present great challenges to statisti-cal analyses, especially from the computational side. In this paper, we consider regression estimation of high-order mo-ments in big data problem...
Direct Regression Modelling of High-order Moments in Big Data
Big data Higher-order moment U-statistics Estimating equation Divide-and-conquer
2016/1/20
Big data problems present great challenges to statisti-cal analyses, especially from the computational side. In this paper, we consider regression estimation of high-order mo-ments in big data problem...
Countermeasures Against High-Order Fault-Injection Attacks on CRT-RSA
RSA CRT fault injection
2016/1/8
In this paper we study the existing CRT-RSA countermeasures against fault-injection attacks.
In an attempt to classify them we get to achieve deep understanding of how they work.
We show that the ma...
Multi-Variate High-Order Attacks of Shuffled Tables Recomputation
Multi-Variate High-Order Attacks Tables Recomputation
2015/12/23
Masking schemes based on tables recomputation are classical
countermeasures against high-order side-channel attacks. Still, they
are known to be attackable at order d in the case the masking involve...
A high-order 3D boundary integral equation solver for elliptic PDEs in smooth domains
oundary integral equations Nystrom discretization Singular integrals Nearly singular integrals Fast solvers Laplace equation Stokes equation Navier equation Fast multipole method Fast Fourier transform
2015/7/14
We present a high-order boundary integral equation solver for 3D elliptic boundary value problems on domains with smooth boundaries. We use Nystro ¨m’s method for discretization, and combine it with s...
Simulation of the Compressible Taylor Green Vortex using High-Order Flux Reconstruction Schemes
Compressible Taylor Green Vortex High-Order Flux Reconstruction Schemes
2015/7/6
In this paper, we investigate the ability of high-order Flux Reconstruction (FR) numerical schemes to perform accurate and stable computations of compressible turbulent ows on coarse meshes. Two new F...
Verification and Validation of HiFiLES: a High-Order LES unstructured solver on multi-GPU platforms
Verifi cation Validation HiFiLES High-Order LES unstructured solver multi-GPU platforms
2015/7/6
The goal of this paper is to present a verification and validation study of HiFiLES: a high-order LES solver developed in the Aerospace Computing Laboratory (ACL) at Stanford University. HiFiLES...
Shock detection and capturing methods for high order Discontinuous-Galerkin Finite Element Methods
Shock detection capturing methods high order Discontinuous-Galerkin Finite Element Methods
2015/7/6
High-order Discontinuous Galerkin (DG) methods have shown a lot of promise in being able to provide high accuracy and eciency as well as the exibility to handle complex unstructured grids. However in...