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ORCIDJournal of Scientific Computing, Volume 77
Volume 77, Number 1, October 2018
- Jorge Eduardo Macías-Díaz
:
A Numerically Efficient Dissipation-Preserving Implicit Method for a Nonlinear Multidimensional Fractional Wave Equation. 1-26 - Wenping Fan, Xiaoyun Jiang, Fawang Liu, Vo Anh:
The Unstructured Mesh Finite Element Method for the Two-Dimensional Multi-term Time-Space Fractional Diffusion-Wave Equation on an Irregular Convex Domain. 27-52 - Alexandre Caboussat, Roland Glowinski, Dimitrios Gourzoulidis:
A Least-Squares/Relaxation Method for the Numerical Solution of the Three-Dimensional Elliptic Monge-Ampère Equation. 53-78 - Yongxin Chen, Eldad Haber, Kaoru Yamamoto, Tryphon T. Georgiou, Allen R. Tannenbaum:
An Efficient Algorithm for Matrix-Valued and Vector-Valued Optimal Mass Transport. 79-100 - Long Chen, Yongke Wu, Lin Zhong, Jie Zhou:
MultiGrid Preconditioners for Mixed Finite Element Methods of the Vector Laplacian. 101-128 - Roberto Garrappa, Marina Popolizio:
Computing the Matrix Mittag-Leffler Function with Applications to Fractional Calculus. 129-153 - Gregor J. Gassner, Andrew R. Winters, Florian Hindenlang, David A. Kopriva:
The BR1 Scheme is Stable for the Compressible Navier-Stokes Equations. 154-200 - Gregor J. Gassner, Andrew R. Winters, Florian Hindenlang, David A. Kopriva:
Correction to: The BR1 Scheme is Stable for the Compressible Navier-Stokes Equations. 201-203 - Harbir Antil, Enrique Otárola, Abner J. Salgado:
Optimization with Respect to Order in a Fractional Diffusion Model: Analysis, Approximation and Algorithmic Aspects. 204-224 - Han Zhou, Paul Andries Zegeling:
Stability and Convergence Analysis of a Class of Continuous Piecewise Polynomial Approximations for Time-Fractional Differential Equations. 225-262 - Tao Xiong, Giovanni Russo, Jing-Mei Qiu:
High Order Multi-dimensional Characteristics Tracing for the Incompressible Euler Equation and the Guiding-Center Vlasov Equation. 263-282 - Fanhai Zeng, Ian W. Turner, Kevin Burrage:
A Stable Fast Time-Stepping Method for Fractional Integral and Derivative Operators. 283-307 - Juan Pablo Borthagaray, Leandro M. Del Pezzo, Sandra Martínez:
Finite Element Approximation for the Fractional Eigenvalue Problem. 308-329 - Vrushali A. Bokil, Yingda Cheng, Yan Jiang, Fengyan Li, Puttha Sakkaplangkul:
High Spatial Order Energy Stable FDTD Methods for Maxwell's Equations in Nonlinear Optical Media in One Dimension. 330-371 - Sjoerd Geevers, Wim A. Mulder, Jaap J. W. van der Vegt:
Dispersion Properties of Explicit Finite Element Methods for Wave Propagation Modelling on Tetrahedral Meshes. 372-396 - Vidhi Zala, Varun Shankar, Shankar P. Sastry, Robert M. Kirby:
Curvilinear Mesh Adaptation Using Radial Basis Function Interpolation and Smoothing. 397-418 - Gang Bao, Yanzhao Cao, Yongle Hao, Kai Zhang:
A Robust Numerical Method for the Random Interface Grating Problem via Shape Calculus, Weak Galerkin Method, and Low-Rank Approximation. 419-442 - Mark Ainsworth, Guosheng Fu:
Fully Computable a Posteriori Error Bounds for Hybridizable Discontinuous Galerkin Finite Element Approximations. 443-466 - Hailiang Liu, Peimeng Yin:
A Mixed Discontinuous Galerkin Method Without Interior Penalty for Time-Dependent Fourth Order Problems. 467-501 - Hee Jun Yang, Hyea Hyun Kim:
A Hybrid Staggered Discontinuous Galerkin Method for KdV Equations. 502-523 - Liang Ge, Lianhai Wang, Yanzhen Chang:
A Sparse Grid Stochastic Collocation Upwind Finite Volume Element Method for the Constrained Optimal Control Problem Governed by Random Convection Diffusion Equations. 524-551 - Jie Wu, Yuan-yuan He, Guo-hao Ding, Yi-yu Han:
Hybrid Optimized Low-Dissipation and Adaptive MUSCL Reconstruction Technique for Hyperbolic Conservation Laws. 552-578 - B. W. Wissink, Gustaaf B. Jacobs, Jennifer K. Ryan, Wai-Sun Don, E. T. A. van der Weide:
Shock Regularization with Smoothness-Increasing Accuracy-Conserving Dirac-Delta Polynomial Kernels. 579-596 - Ting Wei Meng, Lok Ming Lui:
PCBC: Quasiconformality of Point Cloud Mappings. 597-633 - Georgios E. Zouraris:
A Linear Implicit Finite Difference Discretization of the Schrödinger-Hirota Equation. 634-656 - Suna Ma, Huiyuan Li, Zhimin Zhang:
Efficient Spectral Methods for Some Singular Eigenvalue Problems. 657-688
Volume 77, Number 2, November 2018
- Lucas Friedrich, Andrew R. Winters, David C. Del Rey Fernández, Gregor J. Gassner, Matteo Parsani, Mark H. Carpenter:
An Entropy Stable h / p Non-Conforming Discontinuous Galerkin Method with the Summation-by-Parts Property. 689-725 - Haitao Dong, Fujun Liu:
Numerical Methods for Euler Equations with Self-similar and Quasi Self-similar Solutions. 726-754 - Oskar Ålund, Jan Nordström:
A Stable Domain Decomposition Technique for Advection-Diffusion Problems. 755-774 - Siyang Wang:
An Improved High Order Finite Difference Method for Non-conforming Grid Interfaces for the Wave Equation. 775-792 - Huadong Gao, Pengtao Sun:
A Linearized Local Conservative Mixed Finite Element Method for Poisson-Nernst-Planck Equations. 793-817 - Huadong Gao, Pengtao Sun:
Correction to: A Linearized Local Conservative Mixed Finite Element Method for Poisson-Nernst-Planck Equations. 818 - Debojyoti Ghosh, Mikhail A. Dorf, Milo R. Dorr, Jeffrey A. F. Hittinger:
Kinetic Simulation of Collisional Magnetized Plasmas with Semi-implicit Time Integration. 819-849 - Sebastiano Boscarino, Giovanni Russo, Leonardo Scandurra:
All Mach Number Second Order Semi-implicit Scheme for the Euler Equations of Gas Dynamics. 850-884 - Alessio Fumagalli, Isabelle Faille:
A Double-Layer Reduced Model for Fault Flow on Slipping Domains with an Hybrid Finite Volume Scheme. 885-910 - Myeongmin Kang, Myungjoo Kang, Miyoun Jung:
Image Colorization Based on a Generalization of the Low Dimensional Manifold Model. 911-935 - Chris Finlay, Adam M. Oberman:
Approximate Homogenization of Fully Nonlinear Elliptic PDEs: Estimates and Numerical Results for Pucci Type Equations. 936-949 - Daniele Bertaccini, Fabio Durastante:
Limited Memory Block Preconditioners for Fast Solution of Fractional Partial Differential Equations. 950-970 - Massimo Frittelli, Anotida Madzvamuse, Ivonne Sgura, Chandrasekhar Venkataraman:
Numerical Preservation of Velocity Induced Invariant Regions for Reaction-Diffusion Systems on Evolving Surfaces. 971-1000 - Lingling Zhou, Yan Xu:
Stability Analysis and Error Estimates of Semi-implicit Spectral Deferred Correction Coupled with Local Discontinuous Galerkin Method for Linear Convection-Diffusion Equations. 1001-1029 - Adam J. Crowder, Catherine E. Powell:
CBS Constants & Their Role in Error Estimation for Stochastic Galerkin Finite Element Methods. 1030-1054 - Philippe Bocher, Juan I. Montijano, Luis Rández, Marnix Van Daele:
Explicit Runge-Kutta Methods for Stiff Problems with a Gap in Their Eigenvalue Spectrum. 1055-1083 - Chieh-Sen Huang, Todd Arbogast:
An Implicit Eulerian-Lagrangian WENO3 Scheme for Nonlinear Conservation Laws. 1084-1114 - Diego Álvarez, Pedro González-Rodríguez, Miguel Moscoso:
A Closed-Form Formula for the RBF-Based Approximation of the Laplace-Beltrami Operator. 1115-1132 - Penghang Yin, Minh Pham, Adam M. Oberman, Stanley J. Osher:
Stochastic Backward Euler: An Implicit Gradient Descent Algorithm for k-Means Clustering. 1133-1146 - Yibao Li, Xuelin Qi, Junseok Kim:
Direct Discretization Method for the Cahn-Hilliard Equation on an Evolving Surface. 1147-1163 - Binjie Li, Hao Luo, Xiaoping Xie:
A Time-Spectral Algorithm for Fractional Wave Problems. 1164-1184 - Lin Wang, Haijun Yu:
On Efficient Second Order Stabilized Semi-implicit Schemes for the Cahn-Hilliard Phase-Field Equation. 1185-1209 - Daozhi Han, Xiaoming Wang:
A Second Order in Time, Decoupled, Unconditionally Stable Numerical Scheme for the Cahn-Hilliard-Darcy System. 1210-1233 - Susanne C. Brenner, Amanda E. Diegel, Li-Yeng Sung:
A Robust Solver for a Mixed Finite Element Method for the Cahn-Hilliard Equation. 1234-1249 - Shu-sheng Chen, Chao Yan, Bo-xi Lin, Yansu Li:
A New Robust Carbuncle-Free Roe Scheme for Strong Shock. 1250-1277 - Ylva Ljungberg Rydin, Ken Mattsson, Jonatan Werpers:
High-fidelity Sound Propagation in a Varying 3D Atmosphere. 1278-1302
Volume 77, Number 3, December 2018
- Yanlai Chen, Bo Dong, Chi-Wang Shu:
A Foreword to the Special Issue in Honor of Professor Bernardo Cockburn on His 60th Birthday: A Life Time of Discontinuous Schemings. 1303-1309 - Joubine Aghili, Daniele A. Di Pietro:
An Advection-Robust Hybrid High-Order Method for the Oseen Problem. 1310-1338 - Paola F. Antonietti, Paul Houston, Giorgio Pennesi:
Fast Numerical Integration on Polytopic Meshes with Applications to Discontinuous Galerkin Finite Element Methods. 1339-1370 - Jerry L. Bona, Hongqiu Chen, Ohannes A. Karakashian, Michael M. Wise:
Finite Element Methods for a System of Dispersive Equations. 1371-1401 - Waixiang Cao, Zhimin Zhang:
Some Recent Developments in Superconvergence of Discontinuous Galerkin Methods for Time-Dependent Partial Differential Equations. 1402-1423 - Karol L. Cascavita, Jérémy Bleyer, Xavier Chateau, Alexandre Ern:
Hybrid Discretization Methods with Adaptive Yield Surface Detection for Bingham Pipe Flows. 1424-1443 - Paul Castillo, Sergio A. Gómez Macias:
On the Conservation of Fractional Nonlinear Schrödinger Equation's Invariants by the Local Discontinuous Galerkin Method. 1444-1467 - Sheng Chen, Jie Shen:
Enriched Spectral Methods and Applications to Problems with Weakly Singular Solutions. 1468-1489 - Jie Du, Eric T. Chung:
An Adaptive Staggered Discontinuous Galerkin Method for the Steady State Convection-Diffusion Equation. 1490-1518 - Aseel Farhat, Hans Johnston, Michael S. Jolly, Edriss S. Titi:
Assimilation of Nearly Turbulent Rayleigh-Bénard Flow Through Vorticity or Local Circulation Measurements: A Computational Study. 1519-1533 - Xiaobing Feng, Thomas L. Lewis:
Nonstandard Local Discontinuous Galerkin Methods for Fully Nonlinear Second Order Elliptic and Parabolic Equations in High Dimensions. 1534-1565 - Pablo Fernández, Alexandra Christophe, Sébastien Terrana, Ngoc Cuong Nguyen, Jaime Peraire:
Hybridized Discontinuous Galerkin Methods for Wave Propagation. 1566-1604 - Guosheng Fu, Christoph Lehrenfeld:
A Strongly Conservative Hybrid DG/Mixed FEM for the Coupling of Stokes and Darcy Flow. 1605-1620 - Pei Fu, Fengyan Li, Yan Xu:
Globally Divergence-Free Discontinuous Galerkin Methods for Ideal Magnetohydrodynamic Equations. 1621-1659 - Huadong Gao, Weifeng Qiu:
Error Analysis of Mixed Finite Element Methods for Nonlinear Parabolic Equations. 1660-1678 - Matteo Giacomini, Alexandros Karkoulias, Rubén Sevilla, Antonio Huerta:
A Superconvergent HDG Method for Stokes Flow with Strongly Enforced Symmetry of the Stress Tensor. 1679-1702 - Jay Gopalakrishnan, Manuel E. Solano, Felipe Vargas:
Dispersion Analysis of HDG Methods. 1703-1735 - Johnny Guzmán, Alexandre L. Madureira, Marcus Sarkis, Shawn W. Walker:
Analysis of the Finite Element Method for the Laplace-Beltrami Equation on Surfaces with Regions of High Curvature Using Graded Meshes. 1736-1761 - Guido Kanschat, Beatrice Riviere:
A Finite Element Method with Strong Mass Conservation for Biot's Linear Consolidation Model. 1762-1779 - Guanglian Li, Ke Shi:
Upscaled HDG Methods for Brinkman Equations with High-Contrast Heterogeneous Coefficient. 1780-1800 - Dan Ling, Juan Cheng, Chi-Wang Shu:
Conservative High Order Positivity-Preserving Discontinuous Galerkin Methods for Linear Hyperbolic and Radiative Transfer Equations. 1801-1831 - Jorge Albella Martínez, Sébastien Imperiale, Patrick Joly, Jerónimo Rodríguez:
Solving 2D Linear Isotropic Elastodynamics by Means of Scalar Potentials: A New Challenge for Finite Elements. 1832-1873 - Lorenzo Mascotto, Ilaria Perugia, Alexander Pichler:
Non-conforming Harmonic Virtual Element Method: $$h$$ h - and $$p$$ p -Versions. 1874-1908 - Fabian L. Mueller, Dominik Schötzau, Christoph Schwab:
Discontinuous Galerkin Methods for Acoustic Wave Propagation in Polygons. 1909-1935 - Sander Rhebergen, Garth N. Wells:
Preconditioning of a Hybridized Discontinuous Galerkin Finite Element Method for the Stokes Equations. 1936-1952 - Rubén Sevilla, Antonio Huerta:
HDG-NEFEM with Degree Adaptivity for Stokes Flows. 1953-1980
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