We give a simple technique for verifying the Restricted Isometry Property (as introduced by Cand`es and Tao) for random matrices that underlies Compressed Sensing. Our approach has two main ingredients: (i) concentration inequalities for random inne
Iterative Solution of Nonlinear Equations in Several Variables provides a survey of the theoretical results on systems of nonlinear equations in finite dimension and the major iterative methods for their computational solution. Originally published
对线性控制理论的详细介绍，很好的手头书 This book originates from several editions of lecture notes that were used as teaching material for the course ‘Control Theory for Linear Systems’, given within the framework of the national Dutch graduate school of systems and c
A three-dimensional extended finite element method (X-FEM) coupled with a narrow band fast marching method (FMM) is developed and implemented in the Abaqus finite element package for curvilinear fatigue crack growth and life prediction analysis of m
Abstract: A novel hybrid implicit–explicit (HIE) finite-difference time-domain (FDTD) method, which is extremely useful for problems with very fine structures along the w-direction in cylindrical coordinate system, is presented. This method has high
Optimization is an important tool used in decision science and for the analysis of physical systems used in engineering. One can trace its roots to the Calculus of Variations and the work of Euler and Lagrange. This natural and reasonable approach t
A new three dimensional semi-implicit finite volume free-surface ocean model (FVFOM) has been developed for simulating the coastal ocean circulation, which is based on staggered C-unstructured non-orthogonal grid in the horizontal direction and Z-le
We derive an analytical expression of the best approximate solution in the leastsquares solution set SE of the matrix equation AXB + CY D = E to a given matrix pair (Xf, Yf ), where A, B, C, D, and E are given matrices of suitable sizes. Our work is
You are probably about to teach a course that will give students their second exposure to linear algebra. During their first brush with the subject, your students probably worked with Euclidean spaces and matrices. In contrast, this course will emph
You are probably about to teach a course that will give students their second exposure to linear algebra. During their first brush with the subject, your students probably worked with Euclidean spaces and matrices. In contrast, this course will emph
［Roughly speaking a stochastic process is a generalization of a probability distribution (which describes a finite-dimensional random variable) to functions. By focussing on processes which are Gaussian, it turns out that the computations required f
Optimization is an important tool used in decision science and for the analysis of physical systems used in engineering. One can trace its roots to the Calculus of Variations and the work of Euler and Lagrange. This natural and reasonable approach t
Preface ix 1. Basic inequalities I 2. Normed spaces and bounded linear operators 18 3. Linear functionals and the Hahn—Banach theorem 45 4. Finite-dimensional normed spaces 60 5. The Baire category theorem and the closed-graph theorem 75 6. Continuo
We consider the application of Koopman theory to nonlinear partial differential equations. We demonstrate that the observables chosen for constructing the Koopman operator are critical for en- abling an accurate approximation to the nonlinear dynami
Three-dimensional simulation of flow through dam foundation is performed using finite element (Seep3D model) and artificial neural network (ANN) models. The governing and discretized equation for seepage is obtained using the Galerkin method in hete
This technical note is concerned with the model.reduction problem of two-dimensional (2-D) digital filters over.finite-frequency ranges. The 2-D digital filter is described by the.Fornasini-Marchesini local state-space (FM LSS) model. With the.aid of
