On the Combination of the Laplace Transform and Integral Equation Method to Solve the 3D Parabolic Initial Boundary Value Problem [PDF]
AxiomsWe consider a two-step numerical approach for solving parabolic initial boundary value problems in 3D simply connected smooth regions. The method uses the Laplace transform in time, reducing the problem to a set of independent stationary boundary value ...
Roman Chapko, Svyatoslav Lavryk
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Asymptotically accurate error estimates of exponential convergence for the trapezoidal rule
Discrete and Continuous Models and Applied Computational Science, 2021 In many applied problems, efficient calculation of quadratures with high accuracy is required. The examples are: calculation of special functions of mathematical physics, calculation of Fourier coefficients of a given function, Fourier and Laplace ...
Aleksandr A. Belov +1 more
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Stress–singularity analysis in space junctions of thin plates [PDF]
, 2000 The stress singularity in space junctions of thin linearly elastic isotropic plate elements with zero bending rigidities is investigated. The problem for an intersection of infinite wedge-shaped elements is considered first and the solution for each ...
Mikhailov, SE, Namestnikova, IV
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Plane problem of discrete environment mechanics
Проблеми трибології, 2022 Many engineering problems related to the design of structures and machines, the mathematical description of technological processes, etc., are reduced to the need to solve a plane problem for materials with a significant effect of internal friction on ...
O.V. Bagrii
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On eigenvalues of third order composite type equations with regular boundary value conditions
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 In the paper the question about distribution of eigenvalues of third - order composite type equations with regular, more precisely, with periodic boundary value conditions is studied.
N.S. Imanbaev, M.N. Ospanov
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Eigenvalue enclosures and exclosures for non-self-adjoint problems in hydrodynamics [PDF]
, 2010 In this paper we present computer-assisted proofs of a number of results in theoretical fluid dynamics and in quantum mechanics. An algorithm based on interval arithmetic yields provably correct eigenvalue enclosures and exclosures for non-self-adjoint ...
Langer, M. +10 more
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On eigenfunction expansions associated with wave propagation along ducts with wave-bearing boundaries [PDF]
, 2007 A class of boundary value problems, that has application in the propagation of waves along ducts in which the boundaries are wave-bearing, is considered.
Lawrie, JB
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Elastic Equilibrium of Porous Cosserat Media with Double Porosity
Advances in Mathematical Physics, 2016 The static equilibrium of porous elastic materials with double porosity is considered in the case of an elastic Cosserat medium. The corresponding three-dimensional system of differential equations is derived.
Roman Janjgava
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A complex variable boundary element method for a class of boundary value problems in anisotropic thermoelasticity [PDF]
, 1999 A boundary element method based on the Cauchy's integral formulae, called the complex variable boundary element method (CVBEM), is proposed for the numerical solution of boundary value problems governing plane thermoelastic deformations of anisotropic ...
Clements, D., Cooke, T., Ang, W.
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A brief historical perspective of the Wiener-Hopf technique [PDF]
, 2007 It is a little over 75 years since two of the most important mathematicians of the 20th century collaborated on finding the exact solution of a particular equation with semi-infinite convolution type integral operator.
Lawrie, Jane B. +3 more
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