A5022139942- Advanced Mathematical Modeling in Engineering
- Differential Equations and Boundary Problems
- Advanced Numerical Analysis Techniques
- Differential Equations and Numerical Methods
- Algebraic and Geometric Analysis
- Advanced Numerical Methods in Computational Mathematics
- Analytic and geometric function theory
- Elasticity and Wave Propagation
- Numerical methods in inverse problems
- Meromorphic and Entire Functions
- Advanced Banach Space Theory
- Aquatic and Environmental Studies
- Advanced Topics in Algebra
- Numerical methods in engineering
- Geometric Analysis and Curvature Flows
- Geometric and Algebraic Topology
- Geotechnical and Geomechanical Engineering
- Advanced Operator Algebra Research
- Iterative Methods for Nonlinear Equations
- Engineering and Agricultural Innovations
- Optimization and Variational Analysis
- Holomorphic and Operator Theory
- Mathematics and Applications
- Elasticity and Material Modeling
- Composite Material Mechanics
Kazan Federal University
2012-2023
N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences
2019-2023
Here, we present the new method of approximate conformal mapping unit disk to a one-connected domain with smooth boundary without auxiliary constructions and iterations. The function is Taylor polynomial. applicable elasticity problems solution.
Here, we present an investigation of the Cauchy problem solvability for Laplace equation in a simply connected plane domain with multi-component boundary. We reduce our to solution two singular integral equations. If is resolvable, then restore its via formula. examples solvable problems. The construction involves auxiliary approximate conformal mapping or certain
Here we apply the Cauchy integral method for Laplace equation in multiply connected domains when data on each boundary component has form of Dirichlet condition or Neumann condition.This analytic gives highly accurate results.We give examples applications method.
Journal Article Spline-interpolation solution of 3D Dirichlet problem for a certain class solids Get access P. N. Ivanshin, Ivanshin * Physics Institute, Kazan Federal University, 420008, Russia *Corresponding author: pivanshin@gmail.com Search other works by this author on: Oxford Academic Google Scholar E. A. Shirokova Mathematics and Mechanics IMA Applied Mathematics, Volume 78, Issue 6, December 2013, Pages 1109–1129, https://doi.org/10.1093/imamat/hxs009 Published: 27 April 2012 history...
Here we construct different approximate solutions of the plane inverse boundary value problem aerohydrodynamics. In order to do this solve some conditional optimization problems in norms<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:msub><mml:mrow><mml:mo stretchy="false">∥</mml:mo><mml:mo>·</mml:mo><mml:mo stretchy="false">∥</mml:mo></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>,<mml:math...
In this article the author proves local Lipschitz properties of two selections for space convex hulls n points and compacts complete Busemann metric space.
Here we construct the conformal mappings with help of continued fraction approximations. We first show that method [19] works for unit disk onto domains acute external angles at boundary. give certain illustrative examples these constructions. Next outline problem which boudary possesses internal angles. Then rational root approximation in right complex half-plane. First square and consider approximative properties mapping sequence Theorem 1. turn to general case, namely, function These...
Journal of Applied Mathematics and Computational Mechanics, Prace Naukowe Instytutu Matematyki i Informatyki, Politechnika Częstochowska, Scientific Research the Institute Computer Science, Czestochowa University Technology
Abstract The method of reduction a Fredholm integral equation to the linear system is generalized construction complex potential – an analytic function in unbounded multiply connected domain with simple pole at infinity which maps onto plane horizontal slits. We consider locally sourceless, irrotational flow on arbitrary given 𝑛-connected impermeable boundary. has form Cauchy one and 𝑛 logarithmic summands. easily computable.
We prove local Lipschitz property of the map which puts in correspondence to each $N$--net different from $(N-1)$--net its Chebyshev center. If dimension Eucledean or Lobachevskii space is greater than 1 and net consists more 2 points we show that this not Lipschits a neighbourhood 2--nets embedded into all $N$--nets endowed by Hausdorff metric.
In the article we generalize quasisolution approach to planar aerohydrodynamics problems 3D case. We search for solution in form of spline.
Here we present an investigation of the Cauchy problem solvability for Laplace equation in a simply connected plane domain.The is reduced to solution two singular integral equations.If resolvable, its can be restored via formula.Examples solvable and unsolvable problems are presented.The construction involves auxiliary approximate conformal mapping.
The method of boundary curve reparametrization is applied to construction the approximate analytical conformal mapping unit disk onto an arbitrary given finite domain with a smooth at every point but fininte number acute angle points. based on both Fredholm equation solution and spline-interpolation. This approach consists linear system unknown Fourier coefficients correction splines. function has form Cauchy integral. presentation supported by demonstration some examples. applicable case...