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ORCIDComputational Methods in Applied Mathematics, Volume 18
Volume 18, Number 1, January 2018
- Beiping Duan
, Bangti Jin, Raytcho D. Lazarov, Joseph E. Pasciak, Zhi Zhou:
Space-Time Petrov-Galerkin FEM for Fractional Diffusion Problems. 1-20 - Ivan P. Gavrilyuk, Volodymyr L. Makarov, Nataliia Romaniuk:
Super-Exponentially Convergent Parallel Algorithm for a Fractional Eigenvalue Problem of Jacobi-Type. 21-32 - José Luis Gracia, Eugene O'Riordan, Martin Stynes:
Convergence in Positive Time for a Finite Difference Method Applied to a Fractional Convection-Diffusion Problem. 33-42 - Dianming Hou, Mohammad Tanzil Hasan, Chuanju Xu:
Müntz Spectral Methods for the Time-Fractional Diffusion Equation. 43-62 - Yanghong Huang, Xiao Wang:
Finite Difference Methods for the Generator of 1D Asymmetric Alpha-Stable Lévy Motions. 63-76 - Dan Li, Jiwei Zhang, Zhimin Zhang:
The Numerical Computation of the Time Fractional Schrödinger Equation on an Unbounded Domain. 77-94 - Enrique Otárola, Abner J. Salgado:
Sparse Optimal Control for Fractional Diffusion. 95-110 - Petr N. Vabishchevich:
Numerical Solution of Time-Dependent Problems with Fractional Power Elliptic Operator. 111-128 - Yan Yang, Yubin Yan, Neville J. Ford:
Some Time Stepping Methods for Fractional Diffusion Problems with Nonsmooth Data. 129-146 - Yun Zhu, Zhi-Zhong Sun:
A High-Order Difference Scheme for the Space and Time Fractional Bloch-Torrey Equation. 147-164
Volume 18, Number 2, April 2018
- Luoping Chen, Yanping Chen, Xiong Liu:
A Two-Level Sparse Grid Collocation Method for Semilinear Stochastic Elliptic Equation. 165-179 - Tsu-Fen Chen, Hyesuk Lee, Chia-Chen Liu:
A Study on the Galerkin Least-Squares Method for the Oldroyd-B Model. 181-198 - Sebastian Franz, Christos Xenophontos:
A Short Note on the Connection Between Layer-Adapted Exponentially Graded and S-Type Meshes. 199-202 - Melina A. Freitag, Patrick Kürschner, Jennifer Pestana:
GMRES Convergence Bounds for Eigenvalue Problems. 203-222 - Sharat Gaddam, Thirupathi Gudi:
Bubbles Enriched Quadratic Finite Element Method for the 3D-Elliptic Obstacle Problem. 223-236 - Na Huang, Chang-Feng Ma, Jun Zou:
Spectral Analysis, Properties and Nonsingular Preconditioners for Singular Saddle Point Problems. 237-256 - Daijun Jiang, Hui Feng:
Domain Decomposition Methods for Recovering Robin Coefficients in Elliptic and Parabolic Systems. 257-274 - Yao-Lin Jiang, Yun-Bo Yang:
Semi-Discrete Galerkin Finite Element Method for the Diffusive Peterlin Viscoelastic Model. 275-296 - Ananta K. Majee, Andreas Prohl:
Optimal Strong Rates of Convergence for a Space-Time Discretization ofthe Stochastic Allen-Cahn Equation with Multiplicative Noise. 297-311 - M. Sabari, Santhosh George:
Modified Minimal Error Method for Nonlinear Ill-Posed Problems. 313-321
Volume 18, Number 3, July 2018
- Paola F. Antonietti, Jérôme Droniou, Robert Eymard:
An Eclectic View on Numerical Methods for PDEs: Presentation of the Special Issue "Advanced Numerical Methods: Recent Developments, Analysis and Applications". 323-325 - Rémi Abgrall:
Some Remarks About Conservation for Residual Distribution Schemes. 327-351 - Naveed Ahmed, Alexander Linke, Christian Merdon:
Towards Pressure-Robust Mixed Methods for the Incompressible Navier-Stokes Equations. 353-372 - Ramona Baumann, Thomas P. Wihler:
A Nitsche Finite Element Approach for Elliptic Problems with Discontinuous Dirichlet Boundary Conditions. 373-381 - Susanne C. Brenner, Ayçil Çesmelioglu, Jintao Cui, Li-Yeng Sung:
A Nonconforming Finite Element Method for an Acoustic Fluid-Structure Interaction Problem. 383-406 - Clément Cancès, Claire Chainais-Hillairet, Stella Krell:
Numerical Analysis of a Nonlinear Free-Energy Diminishing Discrete Duality Finite Volume Scheme for Convection Diffusion Equations. 407-432 - Carsten Carstensen, Friederike Hellwig:
Constants in Discrete Poincaré and Friedrichs Inequalities and Discrete Quasi-Interpolation. 433-450 - Alexandre Ern, Jean-Luc Guermond:
Abstract Nonconforming Error Estimates and Application to Boundary Penalty Methods for Diffusion Equations and Time-Harmonic Maxwell's Equations. 451-475 - Thierry Gallouët:
Discrete Functional Analysis Tools for Some Evolution Equations. 477-493 - Sarah Ali Hassan, Caroline Japhet, Michel Kern, Martin Vohralík:
A Posteriori Stopping Criteria for Optimized Schwarz Domain Decomposition Algorithms in Mixed Formulations. 495-519 - Guillaume Morel, Christophe Buet, Bruno Després:
Trefftz Discontinuous Galerkin Method for Friedrichs Systems with Linear Relaxation: Application to the P 1 Model. 521-557
Volume 18, Number 4, October 2018
- Rooholah Abedian:
High-Order Semi-Discrete Central-Upwind Schemes with Lax-Wendroff-Type Time Discretizations for Hamilton-Jacobi Equations. 559-580 - Rafail Z. Dautov, Evgenii M. Karchevskii:
Numerical Modeling of Optical Fibers Using the Finite ElementMethod and an Exact Non-reflecting Boundary Condition. 581-601 - Litao Ding, Peter Mathé:
Minimax Rates for Statistical Inverse Problems Under General Source Conditions. 603-608 - Jérôme Droniou, Neela Nataraj, Devika Shylaja:
Numerical Analysis for the Pure Neumann Control Problem Using the Gradient Discretisation Method. 609-637 - Thomas Führer, Norbert Heuer, Michael Karkulik, Rodolfo Rodríguez:
Combining the DPG Method with Finite Elements. 639-652 - Eleftherios-Nektarios G. Grylonakis, Christos K. Filelis-Papadopoulos, George A. Gravvanis:
A Hybrid Method for Solving Inhomogeneous Elliptic PDEs Based on Fokas Method. 653-672 - Vitalii G. Kurbatov, Irina V. Kurbatova:
Computation of Green's Function of the Bounded Solutions Problem. 673-685 - Pallavi Mahale, Pradeep Kumar Dadsena:
Simplified Generalized Gauss-Newton Method for Nonlinear Ill-Posed Operator Equations in Hilbert Scales. 687-702 - Volodymyr L. Makarov, Nataliia Romaniuk:
Symbolic Algorithm of the Functional-Discrete Method for a Sturm-Liouville Problem with a Polynomial Potential. 703-715 - Kaveh Parseh, Kazem Hejranfar:
Assessment of Characteristic Boundary Conditions Based on the Artificial Compressibility Method in Generalized Curvilinear Coordinates for Solution of the Euler Equations. 717-740 - Dorota Pylak, Pawel Karczmarek, Pawel Wójcik:
Approximate Solution of a Singular Integral Equation with a Cauchy Kernel on the Euclidean Plane. 741-752 - Steffen Weißer, Thomas Wick:
The Dual-Weighted Residual Estimator Realized on Polygonal Meshes. 753-776
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