Maximum-Principle-Satisfying and Positivity-Preserving High Order Central DG Methods on Unstructured Overlapping Meshes for Two-Dimensional Hyperbolic Conservation Laws Maojun LiHaiyun DongLiwei Xu OriginalPaper 03 January 2019 Pages: 1361 - 1388
Free-Stream Preservation for Curved Geometrically Non-conforming Discontinuous Galerkin Spectral Elements David A. KoprivaFlorian J. HindenlangGregor J. Gassner OriginalPaper 02 January 2019 Pages: 1389 - 1408
Explicit Deferred Correction Methods for Second-Order Forward Backward Stochastic Differential Equations Jie YangWeidong ZhaoTao Zhou OriginalPaper 03 January 2019 Pages: 1409 - 1432
Efficient Evaluation of Reliability-Oriented Sensitivity Indices G. PerrinG. Defaux OriginalPaper 08 January 2019 Pages: 1433 - 1455
Corner Cases, Singularities, and Dynamic Factoring Dongping QiAlexander Vladimirsky OriginalPaper 16 January 2019 Pages: 1456 - 1476
Exact Simulation of the First-Passage Time of Diffusions S. HerrmannC. Zucca OriginalPaper 03 January 2019 Pages: 1477 - 1504
A High Order HDG Method for Stokes Flow in Curved Domains Manuel SolanoFelipe Vargas OriginalPaper 12 January 2019 Pages: 1505 - 1533
On Multilevel Picard Numerical Approximations for High-Dimensional Nonlinear Parabolic Partial Differential Equations and High-Dimensional Nonlinear Backward Stochastic Differential Equations Weinan EMartin HutzenthalerThomas Kruse OriginalPaper 07 March 2019 Pages: 1534 - 1571
Error Boundedness of Discontinuous Galerkin Methods with Variable Coefficients Philipp ÖffnerHendrik Ranocha OriginalPaper 07 January 2019 Pages: 1572 - 1607
An Efficient Numerical Method for the Symmetric Positive Definite Second-Order Cone Linear Complementarity Problem Xiang WangXing LiRen-Cang Li OriginalPaper 01 February 2019 Pages: 1608 - 1629
Multiscale Computational Method for Dynamic Thermo-Mechanical Problems of Composite Structures with Diverse Periodic Configurations in Different Subdomains Hao DongXiaojing ZhengZihao Yang OriginalPaper 10 January 2019 Pages: 1630 - 1666
Machine Learning for Semi Linear PDEs Quentin Chan-Wai-NamJoseph MikaelXavier Warin OriginalPaper 12 February 2019 Pages: 1667 - 1712
Supercloseness of Linear DG-FEM and Its Superconvergence Based on the Polynomial Preserving Recovery for Helmholtz Equation Yu DuZhimin Zhang OriginalPaper 18 January 2019 Pages: 1713 - 1736
An Explicit Divergence-Free DG Method for Incompressible Magnetohydrodynamics Guosheng Fu OriginalPaper 14 January 2019 Pages: 1737 - 1752
An Effective Dissipation-Preserving Fourth-Order Difference Solver for Fractional-in-Space Nonlinear Wave Equations Jianqiang XieZhiyue Zhang OriginalPaper 09 February 2019 Pages: 1753 - 1776
Interpolatory HDG Method for Parabolic Semilinear PDEs Bernardo CockburnJohn R. SinglerYangwen Zhang OriginalPaper 22 January 2019 Pages: 1777 - 1800
A Jacobi Spectral Method for Solving Multidimensional Linear Volterra Integral Equation of the Second Kind Yunxia WeiYanping Chen OriginalPaper 25 February 2019 Pages: 1801 - 1813
Spectral Indicator Method for a Non-selfadjoint Steklov Eigenvalue Problem J. LiuJ. SunT. Turner OriginalPaper 01 February 2019 Pages: 1814 - 1831
Entropy Production by Implicit Runge–Kutta Schemes Carlos Lozano OriginalPaper 23 January 2019 Pages: 1832 - 1853
Generalized Uniformly Optimal Methods for Nonlinear Programming Saeed GhadimiGuanghui LanHongchao Zhang OriginalPaper 14 February 2019 Pages: 1854 - 1881
New Third Order Low-Storage SSP Explicit Runge–Kutta Methods I. HiguerasT. Roldán OriginalPaper 02 February 2019 Pages: 1882 - 1906
Optimal Resolution Methods for the Klein–Gordon–Dirac System in the Nonrelativistic Limit Regime Wenfan YiXinran RuanChunmei Su OriginalPaper 15 February 2019 Pages: 1907 - 1935
A Relaxation Projection Analytical–Numerical Approach in Hysteretic Two-Phase Flows in Porous Media Eduardo AbreuAbel BustosWanderson Lambert OriginalPaper 08 February 2019 Pages: 1936 - 1980
On Spectral Approximations with Nonstandard Weight Functions and Their Implementations to Generalized Chaos Expansions A. DitkowskiR. Katz OriginalPaper 12 February 2019 Pages: 1981 - 2005
Maximal Convex Combinations of Sequential Steklov Eigenvalues Weaam AlhejailiChiu-Yen Kao OriginalPaper 23 February 2019 Pages: 2006 - 2026