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2017模型降阶技术与应用研讨会（Minisymposia：Model Order Reduction Techniques and Applications）
2017 模型降阶技术 应用 研讨会
2017/5/23
Model Order Reduction techniques represent an advanced simulation tool for a large variety of problems of practical and fundamental interest in both industrial and research applications. Indeed, despi...
Effective Solution of Riemann Problem for Fifth Order Improperly Elliptic Equation on a Rectangle
polyharmonic Equation Boundary Value Problem Dirichlet Problem Improperly Elliptic Equation Riemann Problem Grid Method
2013/1/30
In this paper we present a numerical method for solving Riemann type problem for the fifth order improperly elliptic equation in complex plane .We reduce this problem to the boundary value problems fo...
An Efficient High Order Heterogeneous Multiscale Method For Elliptic Problems
Heterogeneous multiscale method H-convergence Least-squares
2012/8/10
We propose an efficient heterogeneous multiscale finite element
method based on a local least-squares reconstruction of the effective matrix
using the data retrieved from the solution of cell proble...
Boundary Value Problems for Differential Equations of Fractional Order
Boundary Value Problems Fractional Order
2012/8/10
We carry out spectral analysis of one class of integral op-
erators associated with fractional order differential equations that arise in
mechanics. We establish a connection between the eigenvalues...
Construction of Subdivision Surfaces by Fourth-Order Geometric Flows with G1 Boundary Conditions
Level-set method Topolygy preserved
2012/8/10
Construction of Subdivision Surfaces by Fourth-Order Geometric Flows with G1 Boundary Conditions。
A Local Computational Scheme for Higher Order Finite Element Eigenvalue Approximations
Eigenvalue 痭 ite element higher order local computation
2012/8/8
Based on some coupled discretizations, a local computational scheme is proposed
and analyzed in this paper for a class of higher order 痭ite element eigenvalue approximations. Its
e眂iency is proven b...
mplementing Arbitrarily High-Order Symplectic MethodsVia Krylov Deferred Correction Technique
High-Order Symplectic MethodsVia Krylov Deferred Correction Technique
2012/8/8
In this paper, an ecient numerical procedure is presented to implement the
Gaussian Runge-Kutta (GRK) methods (also called Gauss methods). The GRK technique
first discretizes each marching step of ...
Several Pairs of Differential Operators and Their Applications in Variational Calculusof a General Third Order Energy
Di甧rential operator Euler-Lagrange equation Complete-variation Geo-metric energy functional Curvature
2012/8/8
Gradient, divergence and Laplace-Beltrami operators over surfaces have played im-
portant roles in many 痚lds related to geometry and analysis, such as di甧rential ge-
ometry, computational geometry a...
A New Fourth Order Difference Approximation for the Solution of Three-dimensional Non-linear Biharmonic Equations Using Coupled Approach
Three-Dimensional Non-Linear Biharmonic Equation Finite Differences Fourth Order Accuracy Compact Discretization Block-Block-Tridiagonal Tangential Derivatives Laplacian Stream Function Reynolds Number
2013/1/30
This paper deals with a new higher order compact difference scheme, which is, O(h4) using coupled approach on the 19-point 3D stencil for the solution of three dimensional nonlinear biharmonic equatio...
First Order Convergence Analysis for Sparse Grid Method in Stochastic Two-Stage Linear Optimization Problem
Convergence Analysis Stochastic Optimization Scenario Generation Convex Analysis Measure Theory
2013/1/30
Stochastic two-stage linear optimization is an important and widely used optimization model. Efficiency of numerical integration of the second stage value function is critical. However, the second sta...
A Fourth Order Improved Numerical Scheme for the Generalized Burgers—Huxley Equation
Burgers-Huxley Finite-Difference Method Modified Predictor-Corrector
2013/1/30
A fourth order finite-difference scheme in a two-time level recurrence relation is proposed for the numerical solution of the generalized Burgers--Huxley equation. The resulting nonlinear system, whic...
Strong-Stability-Preserving, K-Step, 5- to 10-Stage, Hermite-Birkhoff Time-Discretizations of Order 12
Strong Stability Preserving, Hermite-Birkhoff Method SSP Coefficient Time Discretization Method of Lines Comparison with Other SSP Methods
2013/1/30
We construct optimal k-step, 5- to 10-stage, explicit, strong-stability-preserving Hermite-Birkhoff (SSP HB) methods of order 12 with nonnegative coefficients by combining linear k-step methods of ord...
Characteristic Analysis of Exponential Compact Higher Order Schemes for Convection-Diffusion Equations
Exponential Scheme, Compact Higher Order Scheme, Characteristics, Resolving Efficiency, Finite Difference
2013/1/30
This paper looks at the development of a class of Exponential Compact Higher Order (ECHO) schemes and attempts to comprehend their behaviour by introducing different combinations of discrete source fu...
A Third-Order Scheme for Numerical Fluxes to Guarantee Non-Negative Coefficients for Advection-Diffusion Equations
Numerical Scheme, Numerical Analysis, Numerical Stability, Positivity Condition, Advection-Diffusion Equation, Advection Equation, High-Order Scheme, Godunov Theorem, Burgers’ Equation
2013/1/30
According to Godunov theorem for numerical calculations of advection equations, there exist no high-er-order schemes with constant positive difference coefficients in a family of polynomial schemes wi...
Convergence order of a numerical scheme for sweeping process
Differential inclusions Subdifferential calculus Numerical analysis Predictioncorrection
2010/12/6
In this paper, we show that the convergence order of the numerical scheme introduced in [12] for sweeping processes is equal to one. The considered differential inclusions involve a set-valued map, gi...