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The Riemann method for equations with a dominant partial derivative (A Review) [PDF]

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021
This review article is devoted to a class of linear equations with a dominant (leading) partial derivative of the form \((D+M)u=f\), where \(Du\) is a mixed partial derivative, and \(M\) is a linear differential operator containing the derivatives of the
Aleksey N. Mironov   +2 more
doaj   +1 more source

Representation of the Solution of Goursat Problem for Second Order Linear Stochastic Hyperbolic Differential Equations

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2021
The article considers second-order system of linear stochastic partial differential equations of hyperbolic type with Goursat boundary conditions. Earlier, in a number of papers, representations of the solution Goursat problem for linear stochastic ...
K.B. Mansimov, R.O. Mastaliyev
doaj   +1 more source

3D Lagrangian Modelling of Viscous and Inviscid incompressible Flow Using Conservative and Non-conservative Riemann Solvers and Density Filtering [PDF]

open access: yesمجله مدل سازی در مهندسی, 2021
In this paper, 3D numerical lagrangian modelling of flow was performed using Weakly Compressible Smoothed Particle Hydrodynamic (WCSPH) method. Navier Stokes and Euler Equations were used to simulate viscous and inviscid fluid flow respectively.
Mahmoud Rostami-Varnousfaaderani   +1 more
doaj   +1 more source

A Riemann–Stein kernel method

open access: yesBernoulli, 2022
This paper proposes and studies a numerical method for approximation of posterior expectations based on interpolation with a Stein reproducing kernel. Finite-sample-size bounds on the approximation error are established for posterior distributions supported on a compact Riemannian manifold, and we relate these to a kernel Stein discrepancy (KSD ...
Barp A   +3 more
openaire   +5 more sources

The Derivation of the Riemann Analytic Continuation Formula from the Euler’s Quadratic Equation

open access: yesJournal of Nigerian Society of Physical Sciences, 2022
The analysis of the derivation of the Riemann Analytic Continuation Formula from Euler’s Quadratic Equation is presented in this paper. The connections between the roots of Euler’s quadratic equation and the Analytic Continuation Formula of the Riemann ...
Opeyemi O. Enoch   +2 more
doaj   +1 more source

Complete Riemann Solvers for the Hyperbolic GPR Model of Continuum Mechanics

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2021
In this paper, complete Riemann solver of Osher-Solomon and the HLLEM Riemann solver for unified first order hyperbolic formulation of continuum mechanics, which describes both of fluid and solid dynamics, are presented. This is the first time that these
U. Ariunaa, M. Dumbser, Ts. Sarantuya
doaj   +1 more source

Boundary value problems for matrix Euler-Poisson-Darboux equation with data on a characteristic

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015
We consider the system of $n$ partial differential equations in matrix notation (the system of Euler-Poisson-Darboux equations). For the system we formulate the Cauchy-Goursat and Darboux problems for the case when the eigenvalues of the coefficient ...
Aleksander A Andreev   +1 more
doaj   +1 more source

Hermitian metrics with (anti-)self-dual Riemann tensor [PDF]

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021
Equations of (anti-)self-duality for the components of the LeviCivita connection of the Hermitian positive definite metric (not for the Riemann tensor) are compiled.
Leonid Krivonosov, Vyacheslav Luk'yanov
doaj   +1 more source

The Goursat problem for one hyperbolic system of the third order differential equations with two independent variables

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011
The solution of the Goursat problem for the system of the differential equations of the third order is received on the basis of Riemann method. The Riemann matrix expressed in terms of hypergeometric functions with matrix argument is received, using it ...
Aleksander A Andreev, Julia O Yakovleva
doaj   +3 more sources

Riemann manifold Langevin methods on stochastic volatility estimation [PDF]

open access: yesCommunications in Statistics - Simulation and Computation, 2017
In this paper we perform Bayesian estimation of stochastic volatility models with heavy tail distributions using Metropolis adjusted Langevin (MALA) and Riemman manifold Langevin (MMALA) methods. We provide analytical expressions for the application of these methods, assess the performance of these methodologies in simulated data and illustrate their ...
Zevallos, Mauricio   +2 more
openaire   +2 more sources

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