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A new linearized fourth-order conservative compact difference scheme for the SRLW equations
In this paper, a novel three-point fourth-order compact operator is considered to construct new linearized conservative compact finite difference...
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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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Numerical Analysis of Shock Interactions with the Example of Painleve Paradox with a “Slanted” Fall of a Rod
We consider a system that belongs to the class of well-known Painlevé problems; to solve it, we use the method of opening spatio-temporal singularities ...
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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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The Symmetric Semi-classical Orthogonal Polynomials of Class Two and Some of Their Extensions
We study a large class of orthogonal polynomials, containing the semi-classical symmetric orthogonal polynomials of class two. We show difference...
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Solution of 3D contact shape optimization problems with Coulomb friction based on TFETI
The present paper deals with the numerical solution of 3D shape optimization problems in frictional contact mechanics. Mathematical modelling of the...
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Entire solutions for some Fermat type functional equations concerning difference and partial differential in ℂ2
The main purpose of this paper is concerned with the existence and the forms of transcendental entire solutions of several Fermat type functional...
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Stability for Parametric Control Problems of PDEs via Generalized Differentiation
This paper investigates the mathematical programming formulation of semilinear elliptic optimal control problems with finitely many state...
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Differential Galoisian approach to Jacobi integrability of general analytic dynamical systems and its application
The Morales-Ramis theory provides an effective and powerful non-integrability criterion for complex analytic Hamiltonian systems via the differential...
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Spectral Analysis and Long-time Asymptotics for the Coherently-coupled Nonlinear Schrödinger System
On the basis of the spectral analysis of the 4×4 matrix Lax pair, the initial value problem of the coherently-coupled nonlinear Schrödinger system is...
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Computation of Laplacian eigenvalues of two-dimensional shapes with dihedral symmetry
We numerically compute the lowest Laplacian eigenvalues of several two-dimensional shapes with dihedral symmetry at arbitrary precision arithmetic....
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Zeros, poles, and fixed points of solution and its difference for some types of difference equations
The main purpose of this paper is studying some properties on the growth and value distribution of solutions of some difference equations. We obtain...
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The Riemann-Hilbert Correspondence for Rank 2 Meromorphic Connections on Curves
The goal of this text is to introduce the Riemann-Hilbert correspondence in the rank two case and irregular setting over...
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Singularities of Holomorphic Vector Fields in Dimensions \(\geq 3\) : Results and Problems
In dimensions greater than or equal to 3, the local structure of a singular holomorphic foliation conceals a globally defined foliation on the...
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Properties of Certain Classes of Semiclassical Orthogonal Polynomials
In this lecture we discuss properties of orthogonal polynomials for weights which are semiclassical perturbations of classical orthogonality weights....
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On Existence of Solutions of Difference Riccati Equation
Consider the difference Riccati equation xxxx, where A , B , C , D are meromorphic functions, we give its solution family with one-parameter
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Polygons of Petrović and Fine, algebraic ODEs, and contemporary mathematics
In this paper, we study the genesis and evolution of geometric ideas and techniques in investigations of movable singularities of algebraic ordinary...
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The k-tacnode process
The tacnode process is a universal behavior arising in nonintersecting particle systems and tiling problems. For Dyson Brownian bridges, the tacnode...
