Results 11 to 20 of about 11,636,186 (273)

ABC Conjecture and Riemann Hypothesis [PDF]

open access: yes, 2004
In this paper, we consider two great unproven problems in mathematics in the language of inequalities; ABC conjecture and Riemann hypothesis. It is shown that the Riemann hypothesis is true in some initial cases.
Hassani, Mehdi
core   +6 more sources

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

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

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

Riemann Hypothesis in Special Cases [PDF]

open access: yes, 2004
In this note, we show that the Riemann Hypothesis is true in some special ...
Hassani, Mehdi
core   +3 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

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

Riemann Invariants and Rank-k Solutions of Hyperbolic Systems [PDF]

open access: yes, 2006
In this paper we employ a "direct method" in order to obtain rank-k solutions of any hyperbolic system of first order quasilinear differential equations in many dimensions.
Huard, Benoit, Grundland, A. Michel
core   +1 more source

Conditional Symmetries and Riemann Invariants for Hyperbolic Systems of PDEs [PDF]

open access: yes, 2007
This paper contains an analysis of rank-k solutions in terms of Riemann invariants, obtained from interrelations between two concepts, that of the symmetry reduction method and of the generalized method of characteristics for first order quasilinear ...
Huard, Benoit, Grundland, A. Michel
core   +1 more source

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