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Bayesian Analysis of the Disaster Damage in Brazil
Statistical modeling is a useful methodology to support the research on disaster risk reduction (DRR) and the development of strategies for...
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Side effects of learning from low-dimensional data embedded in a Euclidean space
The low-dimensional manifold hypothesis posits that the data found in many applications, such as those involving natural images, lie (approximately)...
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Stability analysis and error estimates of local discontinuous Galerkin methods for convection–diffusion equations on overlap** meshes
Local discontinuous Galerkin (LDG) methods are popular for convection–diffusion equations. In LDG methods, we introduce an auxiliary variable p to...
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Discontinuous Galerkin Method with Staggered Hybridization for a Class of Nonlinear Stokes Equations
In this paper, we present a discontinuous Galerkin method with staggered hybridization to discretize a class of nonlinear Stokes equations in two...
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Structure aware Runge–Kutta time step** for spacetime tents
We introduce a new class of Runge–Kutta type methods suitable for time step** to propagate hyperbolic solutions within tent-shaped spacetime...
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The Greenberg Functor is Site Cocontinuous
In this paper we show that it is possible to define a topology on the category of formal schemes over a ring of p-adic integers such that the left...
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On simultaneous linearization
Given a uniformly quasiregular map**, there is typically no reason to assume any relationship between linearizers at different repelling periodic...
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The Gross–Zagier–Zhang formula over function fields
We prove the Gross–Zagier–Zhang formula over global function fields of arbitrary characteristics. It is an explicit formula which relates the...
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Guaranteed A Posteriori Error Estimates for a Staggered Discontinuous Galerkin Method
In this paper, we present for the first time guaranteed upper bounds for the staggered discontinuous Galerkin method for diffusion problems. Two...
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Lösungen und Hinweise
Kapitel 5 ist neu in der dritten Auflage. Es enthält vollständige Lösungen zu allen Aufgaben des Buches.
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Backward-forward linear-quadratic mean-field Stackelberg games
This paper studies a controlled backward-forward linear-quadratic-Gaussian (LQG) large population system in Stackelberg games. The leader agent is of backward...
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A Hybrid Staggered Discontinuous Galerkin Method for KdV Equations
A hybrid staggered discontinuous Galerkin method is developed for the Korteweg–de Vries equation. The equation is written into a system of first...
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Almost Principal Polynomial Rings
Let A be an integral domain. In this chapter, we define a notion of almost principal for the domain A[X]. Then we characterize those A with this...
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A Mass Conservative Scheme for Fluid–Structure Interaction Problems by the Staggered Discontinuous Galerkin Method
In this paper, we develop a new mass conservative numerical scheme for the simulations of a class of fluid–structure interaction problems. We will...
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The Continuum and the Evolution of the Concept of Real Number
This chapter traces the historical and conceptual development of the idea of the continuum and the allied concept of real number. Particular...
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Optimization for Deep Learning: An Overview
Optimization is a critical component in deep learning. We think optimization for neural networks is an interesting topic for theoretical research due...
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Representations of solutions to linear and bilinear difference equations and systems of bilinear difference equations
We represent general solution to a homogeneous linear difference equation of second order in terms of a specially chosen solution to the equation and...
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A Zero-Sum Stochastic Differential Game with Impulses, Precommitment, and Unrestricted Cost Functions
We study a zero-sum stochastic differential game (SDG) in which one controller plays an impulse control while their opponent plays a stochastic...
