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A relaxed two-step modulus-based matrix synchronous multisplitting iteration method for linear complementarity problems
In this paper, a relaxed two-step modulus-based matrix synchronous multisplitting iteration method for solving the linear complementarity problems is...
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Basic Principles of Classical Mechanics
To describe the motion of mechanical systems one uses a variety of mathematical models which are based on different principles - laws of motion. In...
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Phase Plane Analysis
We have so far discussed one-dimensional systems and solution methods for linear systems. As we know analytical solutions of nonlinear systems are...
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On Instability in Systems with an Integral Invariant
AbstractA theorem on the instability of an equilibrium in an autonomous system of differential equations with an integral invariant is proved: if in...
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An Approach to Generating Extremely Multistable Chaotic Systems
In this paper, we propose new approaches to the construction of extremely multistable systems containing one-, two-, and three-dimensional lattices...
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Preconditioning techniques for the coupled Stokes–Darcy problem: spectral and field-of-values analysis
We study the performance of some preconditioning techniques for a class of block three-by-three linear systems of equations arising from finite...
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What does a vector field know about volume?
This note provides an affirmative answer to a question of Viterbo concerning the existence of nondiffeomorphic contact forms that share the same.
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Minimal Geodesics of the Isosceles Three Body Problem
The isosceles three-body problem with nonnegative energy is studied from a variational point of view based on the Jacobi–Maupertuis metric. The...
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Null-Projectability of Levi-Civita Connections
We study the natural property of projectability of a torsion-free connection along a foliation on the underlying manifold, which leads to a projected...
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Instability of Equilibria in a Solenoidal Force Field
AbstractWe discuss the conjecture that an isolated equilibrium of a mechanical system in a solenoidal force field is unstable. A number of...
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On the preconditioned MINRES method for solving singular linear systems
Recently, Sugihara et al. (Numer Linear Algebra Appl 27:1-25, 2020) studied the right preconditioned MINRES method for solving symmetric singular...
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Emerging Trends in Graph Theory
In this chapter we shall discuss some popular research areas in Graph Theory. In each of the chosen topic, we introduce the problem, give some easily...
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Classification of Bowl-Type Translators to Fully Nonlinear Curvature Flows
The geometry of solutions to curvature flows is highly dependent on properties of the speed function that drives the flow. Here, we study a specific...
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On the Singularities of Complete Holomorphic Vector Fields in Dimension Two
For a germ of singular holomorphic vector field on a complex manifold to be the local model of a complete one, it is necessary for its solutions to...
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Stability of Geometric Separating Flows
We establish a stability theorem for geometric separating flows on metric spaces, which may or may not be compact. Notably, this result extends...
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A three-step defect-correction stabilized algorithm for incompressible flows with non-homogeneous Dirichlet boundary conditions
Based on two-grid discretizations and quadratic equal-order finite elements for the velocity and pressure approximations, we develop a three-step...
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Holomorphic Foliations: Singularities and Local Geometric Aspects
This text has been written with the aim of providing a fast introduction to the framework of holomorphic foliations with singularities. Our...
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On Global and Monotone Convergence of the Preconditioned Newton’s Method for Some Mildly Nonlinear Systems
Let β be a diagonal map** from RN to itself and let A be an N X N real matrix.