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2018年SIAM反问题暑期学校（Gene Golub SIAM Summer School 2018:Inverse Problems）
2018年 SIAM 反问题暑期 学校
2017/12/20
The summer school aims to introduce graduate students to the mathematical and computational aspects of inverse problems, particularly modern developments that emphasize the quantification of uncertain...
第九届国际反问题及相关议题会议（The 9th International Conference on Inverse Problems and Related Topics）
第九届 国际反问题及相关议题 会议
2017/12/20
An inverse problem in science is the process of calculating from a set of observation data the causal factors (model parameters) that have produced them. It is called an inverse problem because it sta...
三亚国际数学论坛：Mathematical Model and Computation of Nonlinear Problems
三亚国际数学论坛 Mathematical Model Computation of Nonlinear Problems
2017/11/24
The nonlinear problem is an important and interesting topic in many research fields. For example, the nonlinear optics model can more accurately describe the light propagation at very high intensities...
三亚国际数学论坛：Eigenvalue Problems:Theory,Approximation,and Applications
三亚国际数学论坛 Eigenvalue Problems Theory Approximation Applications
2017/7/3
Eigenvalue problems arise in many scientific and engineering applications. They are also important in emerging areas such as big data analysis. For example, eigenvalues (or singular values) can be use...
Inverse problems arise from the need to interpret indirect measurements. Such situations are common in many application areas such as medical imaging, nondestructive testing, underground prospecting, ...
On Hausdorff dimension of oscillatory motions in three body problems
Hausdorff dimension oscillatory motions three body problems
2015/9/25
We show that for the Sitnikov example and for the restricted planar circular 3–body problem the set of oscillatory motions often has maximal Hausdorff dimension. Also, we construct Newhouse domains fo...
Waves in weakly random media:lecture notes for the Vienna Inverse Problems school
weakly random media Vienna Inverse Problems
2015/7/14
Wave propagation in complex media is an ubiquitous phenomenon–applications include light propagation through the atmosphere, underwater acoustic, tomography, and innumerable other ones. These problems...
Free boundary problems of the Euler equation: local well-posedness and hydrodynamical instabilities
Free boundary problems of the Euler equation local well-posedness hydrodynamical instabilities
2015/4/3
Free boundary problems of the Euler equation: local well-posedness and hydrodynamical instabilities.
Nontrivial solutions for a a class of singular problems
Nontrivial solutions a a class of singular
2015/4/3
Nontrivial solutions for a a class of singular problems.
Lambert’s theorem, convex optimization, and minimizing solutions of the n-body problems
Lambert’s theorem convex optimization minimizing solutions n-body problems
2015/3/18
Lambert’s theorem, convex optimization, and minimizing solutions of the n-body problems.
Explicit Solutions to Boundary Problems for 2+1-Dimensional Integrable Systems
Boundary Problems 2+1-Dimensional Integrable Systems
2011/2/21
Nonlinear integrable models with two spatial and one temporal variables: Kadomtsev-Petviashvili equation and two-dimensional Toda lattice are investigated on the subject of correct formulation for bou...
Eigenstructure of the discrete Laplacian on the equilateral triangle: The Dirichlet & Neumann problems
equilateral triangle discrete Laplacian eigenvalues/eigenvectors
2010/11/1
Lam´e’s formulas for the eigenvalues and eigenfunctions of the continuous Laplacian on an equilateral triangle under Dirichlet and Neumann boundary conditions are herein extended to the discrete...
A new method for solving integer linear programming problems with fuzzy variables
Fuzzy theory Fuzzy variables Integer linear programming
2010/9/21
A new method namely, decomposition method for solving integer linear programming problems with fuzzy variables by using classical integer linear programming has been proposed. In the decomposition met...
General solutions of a class of axisymmetric deformation problems based on nonlinear elasticity
partial differential equation general solution
2010/9/21
This paper studies the general solutions of a system of partial differential equations, which can describe the finite deformation of an incompressible hyperelastic cylindrical tube composed of the kno...
Complexity of minimize total weighted average completion time scheduling problems with release times
flow-shop scheduling problem transportation delays
2010/9/20
The paper considers the problem of scheduling n jobs in a two-machine flow-shop to minimize the weighted sum of completion times. Between the completion of an operation and the beginning of the next o...