Issue no. 1 Table of Contents

Addendun to "Gauge Method for Viscous Incompressible Flows"

E, Weinan ; Liu, Jian-Guo

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Vlasov-Fokker-Plank Models for Multilane Traffic Flow

Illner, Reinhard ; Klar, Axel ; Materne, Thorsten

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p. 1-12

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REVIEW ARTICLE: Level Set Methods and Their Applications in Image Science

Tsai, Richard ; Osher, Stanley

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p. 1-20

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Harmonicity up to Rearrangement and Isothermal Gas Dynamics

Brenier, Yann

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p. 13-29

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Modeling 2D and 3D Horizontal Wells Using CVFA

Chen, Zhangxin ; Huan, Guanren ; Li, Baoyan

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p. 30-43

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Wavpred: A Wavelet-Based Algorithm for the Prediction of Transmembrane Proteins

Fischer, Patrick ; Baudoux, Guy ; Wouters, Johan

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p. 44-56

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Backward Formalism to Derive the Size of Secondary Ejected Droplets Produced by Crown Splashing of Drops Impinging on a Solid Wall

Wu, Ziniu

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p. 57-67

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On the Equation Satisfied by a Steady Prandtl-Munk Vortex Sheet

Lopes Filho, Milton C. ; Nussenzeig Lopes, Helena J. ; Souza, Max O.

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p. 68-73

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Hydrodynamic Model for Charge Carriers

Choquet, Isabelle ; Degond, Pierre ; Schmeiser, Christian

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p. 74-86

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The Heterognous Multiscale Methods

E, Weinan ; Engquist, Bjorn

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p. 87-132

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The 3D Quasigeostrophic Fluid Dynamics Under Random Forcing On Boundary

Duan, Jinqiao ; Schmalfuss, Bjorn

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p. 133-151

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Adaptive Mesh Redistibution Method Based on Godunov's Scheme

Azarenok, Boris N. ; Ivanenko, Sergey A. ; Tang, Tao

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p. 152-179

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A Fast Finite Differenc Method For Solving Navier-Stokes Equations on Irregular Domains

Li, Zhilin ; Wang, Cheng

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p. 180-196

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L-Stability of Constants in a Model for Radiating Gases

Serre, Denis

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p. 197-205

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MOVIE COMMUNICATION: Numerical Solution of the Fokker-Planck-Landau Equation by Spectral Methods

Filbet, Frances ; Pareschi, Lorenzo

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p. 206-207

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Time Domain Computation of a Nonlinear Nonlocal Cochlear Model with Applications to Multitone Interaction in Hearing

Xin, Jack ; Qi, Yingyong ; Deng, Li

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p. 211-227

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Regularity Results for a Class of Semilinear Parabolic Degenerate Equations and Applications

Papi, Marco

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p. 229-244

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Nonpertubative Contributions in Quantum-Mechanical Models: The Instantonic Approach

Casahorran, Javier

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p. 245-268

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Blowup of Solutions and Boundary Instabilities in Nonlinear Hyperbolic Equations

Young, Robin

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p. 269-292

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Singularity Formation and Instability in the Unsteady Inviscid and Viscous Prandtl Equations

Hong, Lan ; Hunter, John K.

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p. 293-316

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Gauge Method for Viscous Incompressible Flows

E, Weinan ; Liu, Jian-Guo

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p. 317-332

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Generalized Navier Boundary Condition for the Moving Contact Line

Quian, Tiezheng ; Wang, Xiao-Ping ; Sheng, Ping

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p. 333-341

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Multi-Factor Financial Derivatives on Finite Domains

Zhu, You-Lan ; Li, Jinliang (Eric)

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p. 343-359

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Convergence of the Spectral Method for Stochastic Ginzburg-Landau Equation Driven by Space-Time White Noise

Liu, Di

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p. 361-375

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Higher Order String Method for Finding Minimum Energy Paths

Ren, Weiqing

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p. 377-384

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FAST COMMUNICATIONS: Numerical Techniques for Multi-Scale Dynamical Systems with Stochastic Effects

Vanden-Eijnden, Eric

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p. 385-391

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Entropy solutions of a combustion model

Ying, Lung-An

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p. 393-407

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Entropy methods for kinetic models of traffic flow

Dolbeault, Jean ; Illner, Reinhard

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p. 409-421

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Analysis of the heterogeneous multiscale method for ordinary differential equations

E, Weinan

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p. 423-436

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Incompressible Euler and E-MHD as scaling limits of the Vlasov-Maxwell system

Brenier, Yann ; Mauser, Norbert ; Puel, Marjolaine

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p. 437-447

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An IMEX finite volume scheme for reactive Euler equations arising from kinetic theory

Groppi, Maria ; Pennacchio, Micol

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p. 449-470

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Semi-implicit spectral deferred correction methods for ordinary differential equations

Minion, Michael L.

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p. 471-500

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Discrete transparent boundary conditions for the Schrödinger equation: fast calculation, approximation, and stability

Arnold, Anton ; Ehrhardt, Matthias ; Sofronov, Ivan

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p. 501-556

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Three-factor interest rate models

Zhu, You-Lan

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p. 557-573

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A level set method for the computation of multi-valued solutions to quasi-linear hyperbolic PDE's and Hamilton-Jacobi equations

Jin, Shi ; Osher, Stanley

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p. 575-591

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Computational high-frequency wave propogation using the level-set method with applications to the semi-classical limit of the Schrödinger equations

Cheng, Li-Tien ; Liu, Hailiang ; Osher, Stanley

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p. 593-621

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A Modeling of Compressible Droplets in a Fluid

Boudin, Laurent ; Desvilletter, Laurent ; Motte, Renaud

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p. 657-669

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Multiple Time Scale Dynamics in Coupled Ginzburg-Landau Equations

Lin, Fangua ; Lin, Tai-Chia

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p. 671-695

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Uniqeness of BV Entropy Solutions for High Dimensional Quasilinear Parabolic Equations with Arbitrary Degeneracy

Jingxe, Yin ; Peidong, Lei ; Zhuoqun, Wu

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p. 697-714

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Equation-Free, Coarse-Grained Multiscale Computation: Enabling Mocroscopic Simulators to Perform System-Level Analysis

Kevrekidis, Ioannis G. ; Gear, C. William ; Hyman, James M. ; Kevrekidid, Panagiotis G ; Runborg, Olof ; Theodoropoulos, Constantinos

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p. 715-762

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The Riemann Problem for Fluid Flows in a Nozzle with Discontinuous Cross-Section

Lefloch, Philippe G. ; Thanh, Mai Duc

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p. 763-797

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Strong Solutions to a Kind of Cross Diffusion Parabolic System

Chen, Li ; Hsiao, Ling ; Li, Yong

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p. 799-808

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Effective One Particle Quantum Dynamics of Electrons: A Numerical Study of the Schrodinger-Poisson-Xalpha Model

Bao, Weizhu ; Mauser, N.J. ; Stimming, H.P.

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p. 809-828

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FAST COMMUNICATION: A PDE Based Two Level Model of the Masking Property of the Human Ear

Xin, Jack ; Qi, Yingyong

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p. 829-836

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