242 Nonlinear Analysis: Modelling and Control, 2011, Vol. 16, No. 2, 242–253 Global dynamics of a predator-prey system with Holling type II functional response∗

Source URL: www.lana.lt

FULL DISCRETIZATION OF SECOND-ORDER NONLINEAR EVOLUTION EQUATIONS: STRONG CONVERGENCE AND APPLICATIONS∗ ‡ ˇ SKA ˇ

Source URL: www.math.tu-berlin.de

• Mathematical analysis
• Calculus
• Analysis
• Partial differential equations
• Distribution
• Functional analysis
• Wave equation
• Finite element method

Existence via time discretization for a class of doubly nonlinear operator-differential equations of Barenblatt-type1 Etienne Emmrich∗ Technische Universit¨at Berlin, Institut f¨ur Mathematik, Straße des 17. Juni 13

Source URL: www.math.tu-berlin.de

• Mathematical analysis
• Mathematics
• Algebra
• Functional analysis
• Linear algebra
• Distribution
• Partial differential equations
• Linear map
• Sobolev spaces for planar domains
• Heat equation

Semi-Supervised Dimensionality Reduction for Analyzing High-Dimensional Data with Constraints Su Yan∗∗ IBM Almaden Research Center, 650 Harry Rd San Jose, CA 95120, USA Sofien Bouaziz

Source URL: sofienbouaziz.com

• Algebra
• Mathematics
• Statistics
• Multivariate statistics
• Linear algebra
• Functional analysis
• Dimension reduction
• Geostatistics
• Kernel principal component analysis
• Nonlinear dimensionality reduction
• Principal component analysis
• Dimensionality reduction

Justification of the lattice equation for a nonlinear elliptic problem with a periodic potential Dmitry Pelinovsky1 , Guido Schneider2 , and Robert MacKay3 1 3

Source URL: www2.warwick.ac.uk

• Mathematical analysis
• Mathematics
• Fourier analysis
• Generalized functions
• Differential equations
• Operator theory
• Functional analysis
• Dirac delta function
• Heat equation
• Partial differential equation
• Fourier series
• Distribution

COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, Vol), No. 1, pp. 37–62 c 2009 Institute of Mathematics of the National Academy of Sciences of Belarus TWO-STEP BDF TIME DISCRETISATION OF NONLINEAR EVOLUTION PROBL

Source URL: www.math.tu-berlin.de

• Mathematical analysis
• Calculus
• Mathematics
• Differential equations
• Distribution
• Functional analysis
• Partial differential equation
• Heat equation
• Wave equation

THE DEFOCUSING PROBLEM ON Rd IN THE LARGE This chapter is dedicated to the analysis of the defocusing nonlinear Schr¨odinger equation  i∂t u − ∆u = −|u|2 u (DNLS) u(t = 0) = u0

Source URL: www.cims.nyu.edu

• Mathematical analysis
• Partial differential equations
• Generalized functions
• Functional analysis
• Complex analysis
• Operator theory
• Distribution
• NeumannPoincar operator
• Differential forms on a Riemann surface

Verification Methods for Dense and Sparse Systems of Equations ∗ S.M. Rump, Hamburg In this paper we describe verification methods for dense and large sparse systems of linear and nonlinear equations. Most of the metho

Source URL: www.ti3.tu-harburg.de

• Mathematical analysis
• Mathematics
• Arithmetic
• Computer arithmetic
• Interval arithmetic
• Numerical analysis
• Inverse trigonometric functions
• Boolean algebra
• Holomorphic functional calculus

DSP: Robust Semi-Supervised Dimensionality Reduction using Dual Subspace Projections Su Yan∗ Sofien Bouaziz Dongwon Lee IBM Almaden Research Center Ecole Polytechnique F´ed´erale de Lausanne Pennsylvania State Univer

Source URL: sofienbouaziz.com

• Multivariate statistics
• Dimension reduction
• Geostatistics
• Functional analysis
• Linear algebra
• Dimensionality reduction
• Principal component analysis
• Nonlinear dimensionality reduction
• K-nearest neighbors algorithm
• Cluster analysis
• Kernel method
• Linear discriminant analysis

On a nonlinear abstract Volterra equation Version February 13, 2015 Etienne Emmrich and Guy Vallet Abstract. Existence of solutions is shown for equations of the type Av + B(KGv, v) = f , where A, B, G are possibly nonli

Source URL: www.math.tu-berlin.de

• Functional analysis
• Convolution
• Feature detection
• Fourier analysis
• Image processing