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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A unified method to construct soliton solutions to NLS type equations by the KP-Toda reduction approach: Part II discrete case
KP-户田约简法 NLS类型 方程孤子解 统一方法 离散情况
2023/4/27
In the second part, I will mainly focus on two semi-discrete models: Ablowitz-Ladik equation and fully discrete NLS equation. First, I will clarify the connection of these two discrete models with dis...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A unified method to construct soliton solutions to NLS type equations by the KP-Toda reduction approach: Part I continuous case
KP-户田约简法 NLS类型 方程孤子解 统一方法 离散情况
2023/4/27
In these two talks, I will present a unified method to construct soliton solutions to NLS type equations by the KP-Toda reduction approach. I will take the NLS equation as a typical example and show h...
UNIFIED TOPOLOGICAL FRAMEWORK FOR RETRIEVING 2D AND 3D MULTI-SCALE SPATIAL INFORMATION
Topological connectivity CityGML 3D building multi-scale LoD 2D and 3D model
2018/11/9
Different applications or users need different model (differ requirement on level of details; geometry and information), less focuses in topological element. Improper manage geometry, attribute and to...
Three Types Of Extreme-Energy Space Particles May Have Unified Origin（图）
Three Types Extreme-Energy Space Particles Unified Origin
2018/2/1
One of the biggest mysteries in astroparticle physics has been the origins of ultrahigh-energy cosmic rays, very high-energy neutrinos, and high-energy gamma rays. Now, a new theoretical model reveals...
THE UNIFIED LEVELLING NETWORK OF SARAWAK AND ITS ADJUSTMENT
Sarawak precise levelling network least–squares adjustment MoreFix levelling adjustment package
2016/10/14
The height reference network of Sarawak has seen major improvement in over the past two decades. The most significant improvement was the establishment of extended precise leveling network of which is...
GALERKIN AND RUNGE{KUTTA METHODS: UNIFIED FORMULATION, A POSTERIORI ERROR ESTIMATES AND NODAL SUPERCONVERGENCE
Continuous discontinuous Galerkin methods
2015/12/11
We unify the formulation and analysis of Galerkin and Runge{Kutta
methods for the time discretization of parabolic equations. This, together with
the concept of reconstruction of the approximate sol...
Unified continuum approach to crystal surface morphological relaxation
Unified continuum approach crystal surface morphological relaxation
2015/10/16
A continuum theory is used to predict scaling laws for the morphological relaxation of crystal surfaces in two independent space dimensions. Our goal is to unify previously disconnected experimental o...
A Unified Near-Optimal Estimator For Dimension Reduction in lα (0 < α ≤ 2) Using Stable Random Projections
Near-Optimal Estimator Dimension Reduction Stable Random Projections
2015/8/21
Many tasks (e.g., clustering) in machine learning only require the lα distances instead of the original data. For dimension reductions in the lα norm (0 < α ≤ 2), the method of stable random projectio...
Air quality modelling using the Met Office Unified Model (AQUM OS24-26): model description and initial evaluation
Air quality modelling Met Office Unified Model model description initial evaluation
2014/12/16
The on-line air quality model AQUM (Air Quality in the Unified Model) is a limited-area forecast configuration of the Met Office Unified Model which uses the UKCA (UK Chemistry and Aerosols) sub-model...
Unified parameterization of the planetary boundary layer and shallow convection with a higher-order turbulence closure in the Community Atmosphere Model: single-column experiments
the planetary boundary layer higher-order turbulence closure Community Atmosphere Model single-column experiments
2014/12/10
This paper describes the coupling of the Community Atmosphere Model (CAM) version 5 with a unified multi-variate probability density function (PDF) parameterization, Cloud Layers Unified by Binormals ...
Principles for a Unified Picture of Fermions
Principles Unified Picture of Fermions General Physics
2012/5/31
The principles and conceptual foundations required for a unified picture of fermions are clarified, which in turn suggest that the standard theory may be reducible in a far simpler form. The resultant...
Solvable K-essence Cosmologies and Modified Chaplygin Gas Unified Models of Dark Energy and Dark Matter
Solvable K-essence Cosmologies Modified Chaplygin Gas Unified Models of Dark Energy Dark Matter
2012/4/20
This paper is devoted to the investigation of modified Chaplygin gas model in the context of solvable k-essence cosmologies. For this purpose, we construct equations of state parameter of this model f...
A Unified Model of Neoarchean-Proterozoic Convergence and Rifting of Indian Cratons: Geophysical Constraints
Indian Shield Convergence Collision Triple Junction and Gravity Anomaly
2013/3/7
Neoarchean and Proterozoic sutures and collision zones are identified in the Indian Peninsular Shield based on high seismic velocity; gravity highs and high conductivity in the upper crust due to thru...
Constraints on dissipative unified dark matter
Dark Matter, Dark Energy, Gravitational potential, bulk viscosity, Eckart’s theory
2011/9/28
Modern cosmology suggests that the Universe contains two dark components -- dark matter and dark energy -- both unkown in laboratory physics and both lacking direct evidence. Alternatively, a unified ...
A Unified Generating Function of the q-Genocchi Polynomials with their Interpolation Functions
Genocchi numbers and polynomials q-Genocchi numbers and polynomials Number Theory
2011/9/23
Abstract: The purpose of this paper is to construct of the unification q-extension Genocchi polynomials. We give some interesting relations of this type of polynomials. Finally, we derive the q-extens...