Martin Stynes - RankMe

86 papers Journal 83Unranked 3

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Compatibility of Collocation Error Analyses for Volterra Integral Equations with Smooth and Weakly Singular Kernels. J. Sci. Comput. Hui Liang, Martin Stynes
2026	J	`jnl`	Uniform error analysis of a rectangular Morley finite element method on a Shishkin mesh for a 4th-order singularly perturbed boundary value problem. Comput. Math. Appl. Xiangyun Meng, Martin Stynes
2025	J	`jnl`	A Nyström method based on product integration for weakly singular Volterra integral equations with variable exponent. J. Comput. Appl. Math. Zheng Ma, Martin Stynes
2025	J	`jnl`	Optimal balanced-norm error estimate of the LDG method for reaction-diffusion problems II: The two-dimensional case with layer-upwind flux. Math. Comput. Yao Cheng, Xuesong Wang, Martin Stynes
2025	J	`jnl`	Uniform error analysis of a rectangular Morley finite element method on a Shishkin mesh for a 4th-order singularly perturbed boundary value problem. CoRR Xiangyun Meng, Martin Stynes
2024	J	`jnl`	A collocation method for an RLC fractional derivative two-point boundary value problem with a singular solution. Comput. Appl. Math. José Luis Gracia, Martin Stynes
2024	J	`jnl`	A fast second-order predictor-corrector method for a nonlinear time-fractional Benjamin-Bona-Mahony-Burgers equation. Numer. Algorithms Yongtao Zhou, Cui Li, Martin Stynes
2024	J	`jnl`	A fitted scheme for a Caputo initial-boundary value problem. CoRR José Luis Gracia, Eugene O'Riordan, Martin Stynes
2024	J	`jnl`	An α-robust error analysis of the L1‾ scheme for time-fractional integro-differential initial-boundary value problems. Comput. Math. Appl. Yongtao Zhou, Hongyu Qin, Martin Stynes
2024	J	`jnl`	Balanced and energy norm error bounds for a spatial FEM with Crank-Nicolson and BDF2 time discretisation applied to a singularly perturbed reaction-diffusion problem. Numer. Algorithms Xiangyun Meng, Martin Stynes
2024	J	`jnl`	Error analysis of a collocation method on graded meshes for a fractional Laplacian problem. Adv. Comput. Math. Minghua Chen, Weihua Deng, Chao Min, Jiankang Shi, Martin Stynes
2024	J	`jnl`	Optimal Balanced-Norm Error Estimate of the LDG Method for Reaction-Diffusion Problems I: The One-Dimensional Case. J. Sci. Comput. Yao Cheng, Xuesong Wang, Martin Stynes
2024	J	`jnl`	Optimal balanced-norm error estimate of the LDG method for reaction-diffusion problems II: the two-dimensional case with layer-upwind flux. CoRR Yao Cheng, Xuesong Wang, Martin Stynes
2024	J	`jnl`	Sharp Error Bounds for a Fractional Collocation Method for Weakly Singular Volterra Integral Equations with Variable Exponent. J. Sci. Comput. Zheng Ma, Martin Stynes
2023	J	`jnl`	A sharp discrete convolution sum estimate. Commun. Nonlinear Sci. Numer. Simul. Martin Stynes, Dongling Wang
2023	J	`jnl`	Discretised general fractional derivative. Math. Comput. Simul. Enyu Fan, Changpin Li, Martin Stynes
2023	J	`jnl`	Optimal Long-Time Decay Rate of Numerical Solutions for Nonlinear Time-Fractional Evolutionary Equations. SIAM J. Numer. Anal. Dongling Wang, Martin Stynes
2023	J	`jnl`	Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem. Math. Comput. Yao Cheng, Shan Jiang, Martin Stynes
2023	J	`jnl`	The local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem with characteristic and exponential layers. Numerische Mathematik Yao Cheng, Martin Stynes
2022	J	`jnl`	A Posteriori Error Analysis for Variable-Coefficient Multiterm Time-Fractional Subdiffusion Equations. J. Sci. Comput. Natalia Kopteva, Martin Stynes
2022	J	`jnl`	A Sharp α-Robust L J. Sci. Comput. Chaobao Huang, Martin Stynes
2022	J	`jnl`	A posteriori error analysis for variable-coefficient multiterm time-fractional subdiffusion equations. CoRR Natalia Kopteva, Martin Stynes
2022	J	`jnl`	Balanced-Norm and Energy-Norm Error Analyses for a Backward Euler/FEM Solving a Singularly Perturbed Parabolic Reaction-Diffusion Problem. J. Sci. Comput. Xiangyun Meng, Martin Stynes
2022	J	`jnl`	Block boundary value methods for solving linear neutral Volterra integro-differential equations with weakly singular kernels. J. Comput. Appl. Math. Yongtao Zhou, Martin Stynes
2022	J	`jnl`	Optimal long-time decay rate of solutions of complete monotonicity-preserving schemes for nonlinear time-fractional evolutionary equations. CoRR Dongling Wang, Martin Stynes
2022	J	`jnl`	Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem. CoRR Yao Cheng, Shan Jiang, Martin Stynes
2022	J	`jnl`	The local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem with characteristic and exponential layers. CoRR Yao Cheng, Martin Stynes
2022	J	`jnl`	Using Complete Monotonicity to Deduce Local Error Estimates for Discretisations of a Multi-Term Time-Fractional Diffusion Equation. Comput. Methods Appl. Math. Hu Chen, Martin Stynes
2021	J	`jnl`	A finite difference method for an initial-boundary value problem with a Riemann-Liouville-Caputo spatial fractional derivative. J. Comput. Appl. Math. José Luis Gracia, Martin Stynes
2021	J	`jnl`	An Comput. Math. Appl. Lin Wang, Martin Stynes
2021	J	`jnl`	An α-Robust Semidiscrete Finite Element Method for a Fokker-Planck Initial-Boundary Value Problem with Variable-Order Fractional Time Derivative. J. Sci. Comput. Kim-Ngan Le, Martin Stynes
2021	J	`jnl`	An α-robust finite element method for a multi-term time-fractional diffusion problem. J. Comput. Appl. Math. Chaobao Huang, Martin Stynes, Hu Chen
2021	J	`jnl`	Two Finite Difference Schemes for Multi-Dimensional Fractional Wave Equations with Weakly Singular Solutions. Comput. Methods Appl. Math. Jinye Shen, Martin Stynes, Zhi-Zhong Sun
2021	J	`jnl`	α-robust error analysis of a mixed finite element method for a time-fractional biharmonic equation. Numer. Algorithms Chaobao Huang, Martin Stynes
2020	J	`jnl`	A direct discontinuous Galerkin finite element method for convection-dominated two-point boundary value problems. Numer. Algorithms Guanglong Ma, Martin Stynes
2020	J	`jnl`	A discrete comparison principle for the time-fractional diffusion equation. Comput. Math. Appl. Hu Chen, Martin Stynes
2020	J	`jnl`	Barrier Function Local and Global Analysis of an L1 Finite Element Method for a Multiterm Time-Fractional Initial-Boundary Value Problem. J. Sci. Comput. Xiangyun Meng, Martin Stynes
2020	J	`jnl`	Error Analysis of a Finite Difference Method on Graded Meshes for a Multiterm Time-Fractional Initial-Boundary Value Problem. Comput. Methods Appl. Math. Chaobao Huang, Xiaohui Liu, Xiangyun Meng, Martin Stynes
2020	J	`jnl`	Error analysis of a finite element method with GMMP temporal discretisation for a time-fractional diffusion equation. Comput. Math. Appl. Chaobao Huang, Martin Stynes
2020	J	`jnl`	Optimal H Adv. Comput. Math. Chaobao Huang, Martin Stynes
2020	J	`jnl`	Optimal spatial H1-norm analysis of a finite element method for a time-fractional diffusion equation. J. Comput. Appl. Math. Chaobao Huang, Martin Stynes
2020	J	`jnl`	Superconvergence of a Finite Element Method for the Multi-term Time-Fractional Diffusion Problem. J. Sci. Comput. Chaobao Huang, Martin Stynes
2019	J	`jnl`	Balanced-norm error estimates for sparse grid finite element methods applied to singularly perturbed reaction-diffusion problems. J. Num. Math. Stephen Russell, Martin Stynes
2019	J	`jnl`	Collocation methods for general Riemann-Liouville two-point boundary value problems. Adv. Comput. Math. Hui Liang, Martin Stynes
2019	J	`jnl`	Convergence analysis of the Adini element on a Shishkin mesh for a singularly perturbed fourth-order problem in two dimensions. Adv. Comput. Math. Xiangyun Meng, Martin Stynes
2019	J	`jnl`	Error Analysis of a Second-Order Method on Fitted Meshes for a Time-Fractional Diffusion Problem. J. Sci. Comput. Hu Chen, Martin Stynes
2018	J	`jnl`	A Fitted Scheme for a Caputo Initial-Boundary Value Problem. J. Sci. Comput. Jose L. Gracia, Eugene O'Riordan, Martin Stynes
2018	—	`conf`	A High Order Method on Graded Meshes for a Time-Fractional Diffusion Problem. FDM Hu Chen, Martin Stynes
2018	J	`jnl`	Collocation Methods for General Caputo Two-Point Boundary Value Problems. J. Sci. Comput. Hui Liang, Martin Stynes
2018	J	`jnl`	Convergence in Positive Time for a Finite Difference Method Applied to a Fractional Convection-Diffusion Problem. Comput. Methods Appl. Math. José Luis Gracia, Eugene O'Riordan, Martin Stynes
2018	J	`jnl`	Fractional-order derivatives defined by continuous kernels are too restrictive. Appl. Math. Lett. Martin Stynes
2018	J	`jnl`	Optimal uniform-convergence results for convection-diffusion problems in one dimension using preconditioning. J. Comput. Appl. Math. Thái Anh Nhan, Martin Stynes, Relja Vulanovic
2017	J	`jnl`	Analysis and numerical solution of a Riemann-Liouville fractional derivative two-point boundary value problem. Adv. Comput. Math. Natalia Kopteva, Martin Stynes
2017	J	`jnl`	Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation. SIAM J. Numer. Anal. Martin Stynes, Eugene O'Riordan, José Luis Gracia
2017	J	`jnl`	Preprocessing schemes for fractional-derivative problems to improve their convergence rates. Appl. Math. Lett. Martin Stynes, José Luis Gracia
2016	J	`jnl`	A spectral collocation method for a weakly singular Volterra integral equation of the second kind. Adv. Comput. Math. Can Huang, Martin Stynes
2016	—	`conf`	Convergence Outside the Initial Layer for a Numerical Method for the Time-Fractional Heat Equation. NAA José Luis Gracia, Eugene O'Riordan, Martin Stynes
2015	J	`jnl`	A balanced finite element method for a system of singularly perturbed reaction-diffusion two-point boundary value problems. Numer. Algorithms Runchang Lin, Martin Stynes
2015	J	`jnl`	Boundary Layers in a Two-Point Boundary Value Problem with a Caputo Fractional Derivative. Comput. Methods Appl. Math. Martin Stynes, José Luis Gracia
2015	J	`jnl`	Central difference approximation of convection in Caputo fractional derivative two-point boundary value problems. J. Comput. Appl. Math. Jose L. Gracia, Martin Stynes
2015	J	`jnl`	Some Open Questions in the Numerical Analysis of Singularly Perturbed Differential Equations. Comput. Methods Appl. Math. Hans-Görg Roos, Martin Stynes
2014	J	`jnl`	Sharp anisotropic interpolation error estimates for rectangular Raviart-Thomas elements. Math. Comput. Martin Stynes
2012	J	`jnl`	A Balanced Finite Element Method for Singularly Perturbed Reaction-Diffusion Problems. SIAM J. Numer. Anal. Runchang Lin, Martin Stynes
2012	J	`jnl`	Galerkin and streamline diffusion finite element methods on a Shishkin mesh for a convection-diffusion problem with corner singularities. Math. Comput. Sebastian Franz, R. Bruce Kellogg, Martin Stynes
2011	J	`jnl`	A simpler analysis of a hybrid numerical method for time-dependent convection-diffusion problems. J. Comput. Appl. Math. Carmelo Clavero, Jose L. Gracia, Martin Stynes
2011	J	`jnl`	Postprocessed Two-Scale Finite Element Discretizations, Part I. SIAM J. Numer. Anal. Fang Liu, Martin Stynes, Aihui Zhou
2011	J	`jnl`	Stabilised approximation of interior-layer solutions of a singularly perturbed semilinear reaction-diffusion problem. Numerische Mathematik Natalia Kopteva, Martin Stynes
2009	J	`jnl`	Numerical Solution of Systems of Singularly Perturbed Differential Equations. Comput. Methods Appl. Math. Torsten Linß, Martin Stynes
2009	J	`jnl`	Numerical analysis of a strongly coupled system of two singularly perturbed convection-diffusion problems. Adv. Comput. Math. Eugene O'Riordan, Martin Stynes
2009	J	`jnl`	Singularly Perturbed Convection - Diffusion Problems in One Dimension: Bounds on Derivatives. Comput. Methods Appl. Math. Aidan Naughton, Martin Stynes
2008	J	`jnl`	A finite difference method on layer-adapted meshes for an elliptic reaction-diffusion system in two dimensions. Math. Comput. R. Bruce Kellogg, Torsten Linß, Martin Stynes
2008	—	`conf`	An Iterative Numerical Algorithm for a Strongly Coupled System of Singularly Perturbed Convection-Diffusion Problems. NAA Eugene O'Riordan, Jeanne Stynes, Martin Stynes
2007	J	`jnl`	Convection-diffusion-reaction problems, SDFEM/SUPG and a priori meshes. Int. J. Comput. Sci. Math. Martin Stynes
2007	J	`jnl`	Sharpened bounds for corner singularities and boundary layers in a simple convection-diffusion problem. Appl. Math. Lett. R. Bruce Kellogg, Martin Stynes
2006	J	`jnl`	Numerical analysis of singularly perturbed nonlinear reaction-diffusion problems with multiple solutions. Comput. Math. Appl. Martin Stynes, Natalia Kopteva
2005	J	`jnl`	Grid equidistribution for reaction-diffusion problems in one dimension. Numer. Algorithms Natalia Kopteva, Niall Madden, Martin Stynes
2003	J	`jnl`	The SDFEM for a Convection-Diffusion Problem with a Boundary Layer: Optimal Error Analysis and Enhancement of Accuracy. SIAM J. Numer. Anal. Martin Stynes, Lutz Tobiska
2001	J	`jnl`	A Robust Adaptive Method for a Quasi-Linear One-Dimensional Convection-Diffusion Problem. SIAM J. Numer. Anal. Natalia Kopteva, Martin Stynes
2001	J	`jnl`	Analysis of the streamline-diffusion finite element method on a piecewise uniform mesh for a convection-diffusion problem with exponential layers. J. Num. Math. Martin Stynes, Lutz Tobiska
2001	J	`jnl`	The sdfem on Shishkin meshes for linear convection-diffusion problems. Numerische Mathematik Torsten Linß, Martin Stynes
1998	J	`jnl`	A finite difference analysis of a streamline diffusion method on a Shishkin mesh. Numer. Algorithms Martin Stynes, Lutz Tobiska
1997	J	`jnl`	An analysis of a cell-vertex finite volume method for a parabolic convection-diffusion problem. Math. Comput. Wen Guo, Martin Stynes
1997	J	`jnl`	Analysis of a cell-vertex finite volume method for convection-diffusion problems. Math. Comput. K. W. Morton, Martin Stynes, Endre Süli
1996	J	`jnl`	A uniformly convergent method for a singularly perturbed semilinear reaction-diffusion problem with multiple solutions. Math. Comput. Guangfu Sun, Martin Stynes
1995	J	`jnl`	A Nonconforming Finite Element Method for a Singularly Petrurbed Boundary Value Problem. Computing Dirk Adam, Andreas Felgenhauer, Hans-Görg Roos, Martin Stynes
1994	J	`jnl`	Finite element methods on piecewise equidistant meshes for interior turning point problems. Numer. Algorithms Guangfu Sun, Martin Stynes