Search
Search Results
-
Inverse Magnus Effect in a Rarefied Gas
The transverse force exerted on a rotating sphere immersed in an otherwise uniform flow of a rarefied gas is investigated based on the...
-
Gravimetry as an Ill-Posed Inverse Problem
This chapter discusses inverse gravimetry as an ill-posed problem in Newtonian potential theory. It is shown that all criteria of Hadamard’s...
-
Inverse problem for integral-difference operators on graphs
We consider the inverse problem for integral-difference operators underlying the dynamics of the matter relaxation in external attractive fields for...
-
The word problem for one-relation monoids: a survey
This survey is intended to provide an overview of one of the oldest and most celebrated open problems in combinatorial algebra: the word problem for...
-
Linear Ordinary Differential Equations
Covers the theory of the nth order linear differential equation. It includes a treatment of general boundary conditions and Green’s functions.
-
Continuation of Solutions
Studies in detail the continuation of solutions and their dependence on initial conditions, including the important role of the equation of...
-
Completeness of the Classical Spaces
Is devoted to proving the completeness of the important spaces of multivariate calculus and basic functional analysis.
-
Basic Theory of Metric Spaces
Develops the basic machinery of metric spaces. Includes open and closed sets, convergence of sequences, continuous functions and completeness.
-
Compact Spaces
Motivates and defines the key concept of compactness. The high point is the equivalence, for metric spaces, of compactness and sequential...
-
Phase Function Methods for Second Order Inhomogeneous Linear Ordinary Differential Equations
It has long been known that second order linear homogeneous ordinary differential equations with nonoscillatory coefficients admit nonoscillatory...
-
Damped Dynamical Systems for Solving Equations and Optimization Problems
We present an approach for solving optimization problems with or without constrains which we call Dynamical Functional Particle Method (DFMP). The...
-
Conjugate Gradient Methods
These methods are characterized by very strong convergence properties and modest storage requirements. They are dedicated to solving large-scale...
-
Connected Spaces
Defines the notion of connected space and explores the consequences of connectedness and some of its related concepts.
-
Dynamics of a Pendulum in a Rarefied Flow
We consider the dynamics of a rod on the plane in a flow of non-interacting point particles moving at a fixed speed. When colliding with the rod, the...
-
Relatedness coefficients in pedigrees with inbred founders
We study an extension of the standard framework for pedigree analysis, in which we allow pedigree founders to be inbred. This solves a number of...
-
The Rotation Number Integer Quantization Effect in Braid Groups
V. M. Buchstaber, O. V. Karpov, and S. I. Tertychnyi initiated the study of the rotation number integer quantization effect for a class of dynamical...
-
A Fictitious Time Lie-Group Integrator for the Brinkman–Forchheimer Momentum Equation Modeling Flow of Fully Developed Forced Convection
AbstractA numerical scheme for the Brinkman–Forchheimer momentum equation modeling flow in a saturated porous duct is considered. There is no natural...
-
A tribute to John Meakin on the occasion of his 75th birthday
John Meakin has had a distinguished career of over half a century in the theory of semigroups. This article gives a synopsis of his most important...
-
Objectivity
This chapter introduces the foundations of the kinetics for large strain, as developed during the second half of the twentieth century. This...
-
Discrete Pseudo-differential Operators and Applications to Numerical Schemes
We consider a class of discrete operators introduced by O. Chodosh, acting on infinite sequences and mimicking standard properties of...
