Results 61 to 70 of about 160,914 (245)

Some identities related to Riemann zeta-function

Journal of Inequalities and Applications, 2016
It is well known that the Riemann zeta-function ζ ( s ) $\zeta(s)$ plays a very important role in the study of analytic number theory. In this paper, we use the elementary method and some new inequalities to study the computational problem of one kind of
Lin Xin
doaj   +1 more source

A Numerical Method Combining Cubic Interpolated Propagation and Shifted Grünwald–Letnikov for Fractional Advection–Dispersion Equations

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT Recent advances in the numerical solution of fractional partial differential equations have yielded promising results. In particular, the Shifted Grünwald–Letnikov (SGL) approach allows for a generalization of the traditional finite difference method to the context of fractional differential equations.
Pedro Victor Serra Mascarenhas, André Luís Brasil Cavalcante   +1 more
wiley   +1 more source

Capturing Complex Rate‐Dependent Behaviors of Saturated Clays: A Fractional Consistency Kinematic Hardening Viscoplastic Approach

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT Saturated high plasticity clays show complex nonlinear, rate‐dependent, and hysteresis behaviors under non‐monotonic stress paths, requiring advanced mathematical constitutive equations for accurate description. Taking into account the inherent advantages of kinematic hardening mechanisms in simulating complex stress histories, this paper ...
Wei Cheng, Zhen‐Yu Yin
wiley   +1 more source

Existence of solutions to the Riemann problem for a model of two-phase flows

Electronic Journal of Differential Equations, 2015
We study the existence of solutions of the Riemann problem for a model of two-phase flows. The model has the form of a nonconservative hyperbolic system of balance laws. Based on a phase decomposition approach, we obtain all the wave curves.
Mai Duc Thanh, Dao Huy Cuong
doaj  

Tabulation of the Riemann problem solution in Godunov method for Soave – Redlich – Kwong equation of state [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика
The work is devoted to the using of the exact solutions of the Riemann problem on the decay of an arbitrary discontinuity to describe the real gases flows with the Soave – Redlich – Kwong equation of state.
Koroleva, Maria Ravilevna, Tenenev, Valentin A.   +1 more
doaj   +1 more source

A Riemann solver based on a global existence proof for the Riemann problem [PDF]

Godunov's method and several other methods for computing solutions to the equations of gas dynamics use Riemann solvers to resolve discontinuities at the interface between cells.
Dutt, P.
core   +1 more source

Nonlinear Riemann-Hilbert problem for bordered Riemann surfaces [PDF]

American Journal of Mathematics, 2004
Let Σ be a bordered Riemann surface with genus g and m boundary components. Let { γ z } z ∈∂Σ be a smooth family of smooth Jordan curves in [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /] which all contain the point 0 in their interior.
openaire   +3 more sources

Two-Dimension Riemann Initial-Boundary Value Problem of Scalar Conservation Laws with Curved Boundary

Boundary Value Problems, 2011
This paper is concerned with the structure of the weak entropy solutions to two-dimension Riemann initial-boundary value problem with curved boundary.
Pan Tao, Chen Huazhou
doaj  

A riemann-hilbert problem in a riemann surface [PDF]

Acta Mathematica Scientia, 2011
Abstract One of the inspirations behind Peter Lax's interest in dispersive integrable systems, as the small dispersion parameter goes to zero, comes from systems of ODEs discretizing 1-dimensional compressible gas dynamics [17]. For example, an understanding of the asymptotic behavior of the Toda lattice in different regimes has been able to shed ...
openaire   +1 more source

Sliding Mode Control in Aerospace Applications: A Survey

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Sliding mode control (SMC) enjoys robustness to matched and unmatched (in the case of minimum phase input‐output dynamics) bounded perturbations, and finite time convergence. Second‐order and higher‐order sliding mode control systems (2‐SMC/HOSMC) retain all the advantages of sliding mode control, but in addition can be applied to systems of ...
Yuri Shtessel, Christopher Edwards
wiley   +1 more source