HYPERBOLIC

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Preface
《Communications on Applied Mathematics and Computation》2024年第4期2045-2047,共3页Maren Hantke Christiane Helzel Mária Lukáčová Ferdinand Thein 
From June 29th to July lst,2022,more than 60 international scientists met in Magdeburg,Germany,for the conference Hyperbolic Balance Laws and Beyond to share scientific results and to celebrate the 65th birthday of Pr...
关键词：HYPERBOLIC PREFACE BIRTHDAY 
High‑Order ADER Discontinuous Galerkin Schemes for a Symmetric Hyperbolic Model of Compressible Barotropic Two‑Fluid Flows
《Communications on Applied Mathematics and Computation》2024年第4期2119-2154,共36页Laura Río‑Martín Michael Dumbser 
Initiative 2018–2027 attributed to DICAM of the University of Trento(grant L.232/2016);the PRIN 2022 project High-order structure-preserving semi-implicit schemes for hyperbolic equations and by the European Union-Next GenerationEU(PNRR,Spoke 7 CN HPC).
This paper presents a high-order discontinuous Galerkin(DG)finite-element method to solve the barotropic version of the conservative symmetric hyperbolic and thermodynamically compatible(SHTC)model of compressible two...
关键词：Compressible two-fluid flows Symmetric hyperbolic and thermodynamically compatible(SHTC)systems Hyperbolic systems with curl involutions High-order ADER discontinuous Galerkin(DG)schemes with subcell finite-volume limiter Conservative form of hyperbolic models 
A Multiscale Method for Two-Component,Two-Phase Flow with a Neural Network Surrogate
《Communications on Applied Mathematics and Computation》2024年第4期2265-2294,共30页Jim Magiera Christian Rohde 
Funding Open Access funding enabled and organized by Projekt DEAL.When preparing this manuscript,the authors have kept the COPE guidelines on how to deal with potential acts of misconduct.The research leading to these results received funding from Deutsche Forschungsgemeinschaft(DFG,German Research Foundation)through the project SFB-TRR 75 with the project number 84292822;the DFG under Germanys Excellence Strategy-EXC2075with the project number390740016.
Understanding the dynamics of phase boundaries in fluids requires quantitative knowledge about the microscale processes at the interface.We consider the sharp-interface motion of the compressible two-component flow an...
关键词：Phase transition Hyperbolic balance laws for multi-component fluids Multiscale modeling Moving-mesh methods Deep neural networks 
New High-Order Numerical Methods for Hyperbolic Systems of Nonlinear PDEs with Uncertainties
《Communications on Applied Mathematics and Computation》2024年第3期2011-2044,共34页Alina Chertock Michael Herty Arsen S.Iskhakov Safa Janajra Alexander Kurganov Maria Lukacova-Medvid'ova 
supported in part by the NSF grant DMS-2208438.The work of M.Herty was supported in part by the DFG(German Research Foundation)through 20021702/GRK2326,333849990/IRTG-2379,HE5386/18-1,19-2,22-1,23-1;under Germany’s Excellence Strategy EXC-2023 Internet of Production 390621612;The work of A.Kurganov was supported in part by the NSFC grant 12171226;the fund of the Guangdong Provincial Key Laboratory of Computational Science and Material Design,China(No.2019B030301001).
In this paper,we develop new high-order numerical methods for hyperbolic systems of nonlinear partial differential equations(PDEs)with uncertainties.The new approach is realized in the semi-discrete finite-volume fram...
关键词：Hyperbolic conservation and balance laws with uncertainties Finite-volume methods Central-upwind schemes Weighted essentially non-oscillatory(WENO)interpolations 
Second-Order Accurate Structure-Preserving Scheme for Solute Transport on Polygonal Meshes
《Communications on Applied Mathematics and Computation》2024年第3期1600-1628,共29页Naren Vohra Konstantin Lipnikov Svetlana Tokareva 
This work was carried out under the auspices of the National Nuclear Security Administration of the U.S.Department of Energy at Los Alamos National Laboratory under Contract No.DE-AC52-06NA25396;The Los Alamos unlimited release number is LA-UR-22-30864.
We analyze mimetic properties of a conservative finite-volume (FV) scheme on polygonal meshes used for modeling solute transport on a surface with variable elevation. Polygonal meshes not only provide enormous mesh ge...
关键词：Hyperbolic coupled system Shallow water equations Linear solute transport Finite-volume(FV)schemes Bounds-preservation 
A New Class of Simple,General and Efficient Finite Volume Schemes for Overdetermined Thermodynamically Compatible Hyperbolic Systems
《Communications on Applied Mathematics and Computation》2024年第3期1742-1778,共37页Saray Busto Michael Dumbser 
In this paper,a new efficient,and at the same time,very simple and general class of thermodynamically compatiblefinite volume schemes is introduced for the discretization of nonlinear,overdetermined,and thermodynamicall...
关键词：Overdetermined thermodynamically compatible hyperbolic systems Hyperbolic and thermodynamically compatible(HTC)finite volume schemes Abgrall framework Discrete entropy inequality Nonlinear stability in the energy norm Applications to ideal magnetohydrodynamics(MHD) Godounov-Peshkov-Romenski(GPR)model of continuum mechanics Turbulent shallow water(TSW)flows 
Convergence of Hyperbolic Neural Networks Under Riemannian Stochastic Gradient Descent
《Communications on Applied Mathematics and Computation》2024年第2期1175-1188,共14页Wes Whiting Bao Wang Jack Xin 
partially supported by NSF Grants DMS-1854434,DMS-1952644,and DMS-2151235 at UC Irvine;supported by NSF Grants DMS-1924935,DMS-1952339,DMS-2110145,DMS-2152762,and DMS-2208361,and DOE Grants DE-SC0021142 and DE-SC0002722.
We prove,under mild conditions,the convergence of a Riemannian gradient descent method for a hyperbolic neural network regression model,both in batch gradient descent and stochastic gradient descent.We also discuss a ...
关键词：Hyperbolic neural network Riemannian gradient descent Riemannian Adam(RAdam) Training convergence 
On the Use of Monotonicity-Preserving Interpolatory Techniques in Multilevel Schemes for Balance Laws
《Communications on Applied Mathematics and Computation》2024年第2期1319-1341,共23页Antonio Baeza Rosa Donat Anna Martinez-Gavara 
supported by Grant PID2020-117211GB-I00;funded by MCIN/AEI/10.13039/501100011033;by Grant CIAICO/2021/227;funded by the Generalitat Valenciana;supported by the Ministerio de Ciencia e Innovacion of Spain(Grant Ref.PID2021-125709OB-C21);funded by MCIN/AEI/10.13039/501100011033/FEDER,UE;by the Generalitat Valenciana(CIAICO/2021/224).
Cost-effective multilevel techniques for homogeneous hyperbolic conservation laws are very successful in reducing the computational cost associated to high resolution shock capturing numerical schemes.Because they do ...
关键词：Hyperbolic balance laws Well-balanced schemes Multilevel schemes Harten's multiresolution 
Regularity of Fluxes in Nonlinear Hyperbolic Balance Laws
《Communications on Applied Mathematics and Computation》2023年第3期1289-1298,共10页Matania Ben-Artzi Jiequan Li 
the Institute of Applied Physics and Computational Mathematics,Beijing,for the hospitality and support.The second author is supported by the NSFC(Nos.11771054,12072042,91852207);the Sino-German Research Group Project(No.GZ1465);the National Key Project GJXM92579.
This paper addresses the issue of the formulation of weak solutions to systems of nonlinear hyperbolic conservation laws as integral balance laws.The basic idea is that the“meaningful objects”are the fluxes,evaluate...
关键词：Balance laws Hyperbolic conservation laws MULTI-DIMENSIONAL Discontinuous solutions Finite-volume schemes FLUX Trace on boundary 
Preface to the Focused Issue in Honor of Professor Tong Zhang on the Occasion of His 90th Birthday
《Communications on Applied Mathematics and Computation》2023年第3期965-966,共2页Jiequan Li Wancheng Sheng Chi-Wang Shu Ping Zhang Yuxi Zheng 
December 9,2022 is the 90th birthday of Tong Zhang,a mathematician in Institute of Mathematics,Chinese Academy of Sciences where he was always working on the Riemann problem for gas dynamics in his mathematical life.T...
关键词：RIEMANN HYPERBOLIC Focus 
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