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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Eigenvalues of boundary value problems with transmission conditions and eigenparameter-dependent boundary conditions
传输条件 本征参数 相关边界条件 边值问题 本征值
2023/5/16
In this talk, we mainly show some eigenvalue properties of second order Sturm-Liouville problems and third-order boundary value problems with both transmission conditions and eigenparameter-dependent ...
Homogenization of one-phase Stefan-type problems in periodic and random media
one-phase Stefan-type periodic random
2015/10/15
We investigate the homogenization of Stefan-type problems with oscillating diffusion coefficients. Both cases of periodic and random (stationary ergodic) medium are considered. The proof relies on the...
A bisection method for computing the H_infinity-norm of a transfer matrix and related problems
Transfer matrix singular value assessment the Hamiltonian matrix characteristic values of linear algebra
2015/8/13
Inspired by recent work of Byers we establish a simple connection between the singular values of a transfer matrix evaluated along the imaginary axis and the imaginary eigenvalues of a related Hamilto...
Robust solutions to l1, l2, and l_infinity uncertain linear approximation problems using convex optimization
Linear random and uncertain data convex optimization
2015/8/11
We present minimax and stochastic formulations of some linear approximation problems with uncertain data in R^n equipped with the Euclidean (l2), Absolute-sum (l1) or Chebyshev (l-infinity) norms. We ...
Variational problems with linear growth in dimension 1
Variational problems linear growth dimension 1
2015/4/3
Variational problems with linear growth in dimension 1.
Learning to Automatically Solve Algebra Word Problems
Algebra Word Problems Automatically
2014/11/26
Learning to Automatically Solve Algebra Word Problems。
Randomized Communication Complexity for Linear Algebra Problems over Finite Fields
communication complexity streaming, matrix singularity determinant
2012/12/3
Finding the singularity of a matrix is a basic problem in linear algebra. Chu and Schnitger first considered this problem in the communication complexity model, in which Alice holds the first half of ...
Local Gram-Schmidt and Covariant Lyapunov Vectors and Exponents for Three Harmonic Oscillator Problems
Lyapunov Instability Covariant Lyapunov Spectrum Gram-Schmidt Orthonormalization
2011/7/6
We compare the Gram-Schmidt and covariant phase-space-basis-vector descriptions for three
time-reversible harmonic oscillator problems, in two, three, and four phase-space dimensions re-
spectively....
The Convex Geometry of Linear Inverse Problems
Convex optimization semidefinite programming atomic norms
2011/1/17
In applications throughout science and engineering one is often faced with the challenge of
solving an ill-posed inverse problem, where the number of available measurements is smaller
than the dimen...
NP-hardness of Deciding Convexity of Quartic Polynomials and Related Problems
NP-hardness of Deciding Convexity of Quartic Polynomials Related Problems
2011/1/19
We show that unless P=NP, there exists no polynomial time (or even pseudo-polynomial time)
algorithm that can decide whether a multivariate polynomial of degree four (or higher even
degree) is globa...
Asymptotic invariants, complexity of groups and related problems
word problem conjugacy problem computational complexity
2011/1/19
We survey results about computational complexity of the word problem in groups, Dehn functions of groups and related problems.
Let W be a complete local commutative Noetherian ring with residue field k of positive characteristic p. We study the inverse problem for the versal deformation rings RW(, V )
relative to W...
From the Ginzburg-Landau model to vortex lattice problems
the Ginzburg-Landau model vortex lattice problems
2010/11/24
We study minimizers of the two-dimensional Ginzburg-Landau energy with applied magnetic field, between the first and second critical fields. In this regime, minimizing configurations exhibit densely p...
A posteriori error estimator based on gradient recovery by averaging for convection-diffusion-reaction problems approximated by discontinuous Galerkin methods
averaging convection-diffusion-reaction problems discontinuous Galerkin methods
2010/11/9
We consider some (anisotropic and piecewise constant) convection-diffusion-reaction problems in domains of R2, approximated by a discontinuous Galerkin method with polynomials of any degree. We propos...
Regularization of statistical inverse problems and the Bakushinskii veto
statistical inverse problems the Bakushinskii veto
2010/11/22
In the deterministic context Bakushinskii's theorem excludes the existence of purely data driven convergent regularization for ill-posed problems. We will prove in the present work that in the statist...