default search action
Google
Google Scholar
Semantic Scholar
Internet Archive Scholar
CiteSeerX
ORCIDMartin Stynes
Person information
Refine list
refinements active!
zoomed in on ?? of ?? records
view refined list in
export refined list as
showing all ?? records
2020 – today
- 2025
[j74]Zheng Ma, Martin Stynes
:
A Nyström method based on product integration for weakly singular Volterra integral equations with variable exponent. J. Comput. Appl. Math. 454: 116164 (2025)- 2024
- [j73]Minghua Chen, Weihua Deng, Chao Min, Jiankang Shi, Martin Stynes:
Error analysis of a collocation method on graded meshes for a fractional Laplacian problem. Adv. Comput. Math. 50(3): 49 (2024) - [j72]José Luis Gracia, Martin Stynes:
A collocation method for an RLC fractional derivative two-point boundary value problem with a singular solution. Comput. Appl. Math. 43(4): 199 (2024) - [j71]Yongtao Zhou, Hongyu Qin, Martin Stynes:
An α-robust error analysis of the L1‾ scheme for time-fractional integro-differential initial-boundary value problems. Comput. Math. Appl. 162: 196-205 (2024) - [j70]Zheng Ma, Martin Stynes:
Sharp Error Bounds for a Fractional Collocation Method for Weakly Singular Volterra Integral Equations with Variable Exponent. J. Sci. Comput. 100(2): 41 (2024) - [j69]Yao Cheng, Xuesong Wang, Martin Stynes:
Optimal Balanced-Norm Error Estimate of the LDG Method for Reaction-Diffusion Problems I: The One-Dimensional Case. J. Sci. Comput. 100(2): 50 (2024) - [j68]Yongtao Zhou, Cui Li, Martin Stynes:
A fast second-order predictor-corrector method for a nonlinear time-fractional Benjamin-Bona-Mahony-Burgers equation. Numer. Algorithms 95(2): 693-720 (2024) - [j67]Xiangyun Meng, Martin Stynes:
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 95(3): 1155-1176 (2024) - [i6]José Luis Gracia, Eugene O'Riordan, Martin Stynes:
A fitted scheme for a Caputo initial-boundary value problem. CoRR abs/2401.16156 (2024) - [i5]Yao Cheng, Xuesong Wang, Martin Stynes:
Optimal balanced-norm error estimate of the LDG method for reaction-diffusion problems II: the two-dimensional case with layer-upwind flux. CoRR abs/2405.11939 (2024) - 2023
- [j66]Martin Stynes, Dongling Wang:
A sharp discrete convolution sum estimate. Commun. Nonlinear Sci. Numer. Simul. 117: 106923 (2023) - [j65]Enyu Fan, Changpin Li, Martin Stynes:
Discretised general fractional derivative. Math. Comput. Simul. 208: 501-534 (2023) - [j64]Yao Cheng, Shan Jiang, Martin Stynes:
Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem. Math. Comput. 92(343): 2065-2095 (2023) - [j63]Yao Cheng, Martin Stynes:
The local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem with characteristic and exponential layers. Numerische Mathematik 154(1-2): 283-318 (2023) - [j62]Dongling Wang, Martin Stynes:
Optimal Long-Time Decay Rate of Numerical Solutions for Nonlinear Time-Fractional Evolutionary Equations. SIAM J. Numer. Anal. 61(5): 2011-2034 (2023) - 2022
- [j61]Hu Chen, Martin Stynes:
Using Complete Monotonicity to Deduce Local Error Estimates for Discretisations of a Multi-Term Time-Fractional Diffusion Equation. Comput. Methods Appl. Math. 22(1): 15-29 (2022) - [j60]Yongtao Zhou, Martin Stynes:
Block boundary value methods for solving linear neutral Volterra integro-differential equations with weakly singular kernels. J. Comput. Appl. Math. 401: 113747 (2022) - [j59]Chaobao Huang, Martin Stynes:
A Sharp α-Robust L∞ (H1) Error Bound for a Time-Fractional Allen-Cahn Problem Discretised by the Alikhanov L2-1σ Scheme and a Standard FEM. J. Sci. Comput. 91(2): 43 (2022) - [j58]Xiangyun Meng, Martin Stynes:
Balanced-Norm and Energy-Norm Error Analyses for a Backward Euler/FEM Solving a Singularly Perturbed Parabolic Reaction-Diffusion Problem. J. Sci. Comput. 92(2): 67 (2022) - [j57]Natalia Kopteva, Martin Stynes:
A Posteriori Error Analysis for Variable-Coefficient Multiterm Time-Fractional Subdiffusion Equations. J. Sci. Comput. 92(2): 73 (2022) - [i4]Natalia Kopteva, Martin Stynes:
A posteriori error analysis for variable-coefficient multiterm time-fractional subdiffusion equations. CoRR abs/2202.13357 (2022) - [i3]Dongling Wang, Martin Stynes:
Optimal long-time decay rate of solutions of complete monotonicity-preserving schemes for nonlinear time-fractional evolutionary equations. CoRR abs/2204.04673 (2022) - [i2]Yao Cheng, Shan Jiang, Martin Stynes:
Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem. CoRR abs/2206.08642 (2022) - [i1]Yao Cheng, Martin Stynes:
The local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem with characteristic and exponential layers. CoRR abs/2209.10143 (2022) - 2021
- [j56]Lin Wang, Martin Stynes:
An α-robust finite difference method for a time-fractional radially symmetric diffusion problem. Comput. Math. Appl. 97: 386-393 (2021) - [j55]Jinye Shen, Martin Stynes, Zhi-Zhong Sun:
Two Finite Difference Schemes for Multi-Dimensional Fractional Wave Equations with Weakly Singular Solutions. Comput. Methods Appl. Math. 21(4): 913-928 (2021) - [j54]José Luis Gracia, Martin Stynes:
A finite difference method for an initial-boundary value problem with a Riemann-Liouville-Caputo spatial fractional derivative. J. Comput. Appl. Math. 381: 113020 (2021) - [j53]Chaobao Huang, Martin Stynes, Hu Chen:
An α-robust finite element method for a multi-term time-fractional diffusion problem. J. Comput. Appl. Math. 389: 113334 (2021) - [j52]Kim-Ngan Le, Martin Stynes:
An α-Robust Semidiscrete Finite Element Method for a Fokker-Planck Initial-Boundary Value Problem with Variable-Order Fractional Time Derivative. J. Sci. Comput. 86(2): 22 (2021) - [j51]Chaobao Huang, Martin Stynes:
α-robust error analysis of a mixed finite element method for a time-fractional biharmonic equation. Numer. Algorithms 87(4): 1749-1766 (2021) - 2020
- [j50]Chaobao Huang, Martin Stynes:
Optimal H1 spatial convergence of a fully discrete finite element method for the time-fractional Allen-Cahn equation. Adv. Comput. Math. 46(4): 63 (2020) - [j49]Chaobao Huang, Martin Stynes:
Error analysis of a finite element method with GMMP temporal discretisation for a time-fractional diffusion equation. Comput. Math. Appl. 79(9): 2784-2794 (2020) - [j48]Hu Chen, Martin Stynes:
A discrete comparison principle for the time-fractional diffusion equation. Comput. Math. Appl. 80(5): 917-922 (2020) - [j47]Chaobao Huang, Xiaohui Liu, Xiangyun Meng, Martin Stynes:
Error Analysis of a Finite Difference Method on Graded Meshes for a Multiterm Time-Fractional Initial-Boundary Value Problem. Comput. Methods Appl. Math. 20(4): 815-825 (2020) - [j46]Chaobao Huang, Martin Stynes:
Optimal spatial H1-norm analysis of a finite element method for a time-fractional diffusion equation. J. Comput. Appl. Math. 367 (2020) - [j45]Chaobao Huang, Martin Stynes:
Superconvergence of a Finite Element Method for the Multi-term Time-Fractional Diffusion Problem. J. Sci. Comput. 82(1): 10 (2020) - [j44]Xiangyun Meng, Martin Stynes:
Barrier Function Local and Global Analysis of an L1 Finite Element Method for a Multiterm Time-Fractional Initial-Boundary Value Problem. J. Sci. Comput. 84(1): 5 (2020) - [j43]Guanglong Ma, Martin Stynes:
A direct discontinuous Galerkin finite element method for convection-dominated two-point boundary value problems. Numer. Algorithms 83(2): 741-765 (2020)
2010 – 2019
- 2019
- [j42]Hui Liang, Martin Stynes:
Collocation methods for general Riemann-Liouville two-point boundary value problems. Adv. Comput. Math. 45(2): 897-928 (2019) - [j41]Xiangyun Meng, Martin Stynes:
Convergence analysis of the Adini element on a Shishkin mesh for a singularly perturbed fourth-order problem in two dimensions. Adv. Comput. Math. 45(2): 1105-1128 (2019) - [j40]Stephen Russell, Martin Stynes:
Balanced-norm error estimates for sparse grid finite element methods applied to singularly perturbed reaction-diffusion problems. J. Num. Math. 27(1): 37-55 (2019) - [j39]Hu Chen, Martin Stynes:
Error Analysis of a Second-Order Method on Fitted Meshes for a Time-Fractional Diffusion Problem. J. Sci. Comput. 79(1): 624-647 (2019) - 2018
- [j38]Martin Stynes:
Fractional-order derivatives defined by continuous kernels are too restrictive. Appl. Math. Lett. 85: 22-26 (2018) - [j37]José Luis Gracia, Eugene O'Riordan, Martin Stynes:
Convergence in Positive Time for a Finite Difference Method Applied to a Fractional Convection-Diffusion Problem. Comput. Methods Appl. Math. 18(1): 33-42 (2018) - [j36]Thái Anh Nhan, Martin Stynes, Relja Vulanovic:
Optimal uniform-convergence results for convection-diffusion problems in one dimension using preconditioning. J. Comput. Appl. Math. 338: 227-238 (2018) - [j35]Hui Liang, Martin Stynes:
Collocation Methods for General Caputo Two-Point Boundary Value Problems. J. Sci. Comput. 76(1): 390-425 (2018) - [j34]Jose L. Gracia, Eugene O'Riordan, Martin Stynes:
A Fitted Scheme for a Caputo Initial-Boundary Value Problem. J. Sci. Comput. 76(1): 583-609 (2018) - [c3]Hu Chen, Martin Stynes:
A High Order Method on Graded Meshes for a Time-Fractional Diffusion Problem. FDM 2018: 15-27 - 2017
- [j33]Natalia Kopteva, Martin Stynes:
Analysis and numerical solution of a Riemann-Liouville fractional derivative two-point boundary value problem. Adv. Comput. Math. 43(1): 77-99 (2017) - [j32]Martin Stynes, José Luis Gracia:
Preprocessing schemes for fractional-derivative problems to improve their convergence rates. Appl. Math. Lett. 74: 187-192 (2017) - [j31]Martin Stynes, Eugene O'Riordan, José Luis Gracia:
Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation. SIAM J. Numer. Anal. 55(2): 1057-1079 (2017) - 2016
- [j30]Can Huang, Martin Stynes:
A spectral collocation method for a weakly singular Volterra integral equation of the second kind. Adv. Comput. Math. 42(5): 1015-1030 (2016) - [c2]José Luis Gracia, Eugene O'Riordan, Martin Stynes:
Convergence Outside the Initial Layer for a Numerical Method for the Time-Fractional Heat Equation. NAA 2016: 82-94 - 2015
- [j29]Martin Stynes, José Luis Gracia:
Boundary Layers in a Two-Point Boundary Value Problem with a Caputo Fractional Derivative. Comput. Methods Appl. Math. 15(1): 79-95 (2015) - [j28]Hans-Görg Roos, Martin Stynes:
Some Open Questions in the Numerical Analysis of Singularly Perturbed Differential Equations. Comput. Methods Appl. Math. 15(4): 531-550 (2015) - [j27]Jose L. Gracia, Martin Stynes:
Central difference approximation of convection in Caputo fractional derivative two-point boundary value problems. J. Comput. Appl. Math. 273: 103-115 (2015) - [j26]Runchang Lin, Martin Stynes:
A balanced finite element method for a system of singularly perturbed reaction-diffusion two-point boundary value problems. Numer. Algorithms 70(4): 691-707 (2015) - 2014
- [j25]Martin Stynes:
Sharp anisotropic interpolation error estimates for rectangular Raviart-Thomas elements. Math. Comput. 83(290): 2675-2689 (2014) - 2012
- [j24]Sebastian Franz, R. Bruce Kellogg, Martin Stynes:
Galerkin and streamline diffusion finite element methods on a Shishkin mesh for a convection-diffusion problem with corner singularities. Math. Comput. 81(278): 661-685 (2012) - [j23]Runchang Lin, Martin Stynes:
A Balanced Finite Element Method for Singularly Perturbed Reaction-Diffusion Problems. SIAM J. Numer. Anal. 50(5): 2729-2743 (2012) - 2011
- [j22]Carmelo Clavero, Jose L. Gracia, Martin Stynes:
A simpler analysis of a hybrid numerical method for time-dependent convection-diffusion problems. J. Comput. Appl. Math. 235(17): 5240-5248 (2011) - [j21]Natalia Kopteva, Martin Stynes:
Stabilised approximation of interior-layer solutions of a singularly perturbed semilinear reaction-diffusion problem. Numerische Mathematik 119(4): 787-810 (2011) - [j20]Fang Liu, Martin Stynes, Aihui Zhou:
Postprocessed Two-Scale Finite Element Discretizations, Part I. SIAM J. Numer. Anal. 49(5): 1947-1971 (2011)
2000 – 2009
- 2009
- [j19]Eugene O'Riordan, Martin Stynes:
Numerical analysis of a strongly coupled system of two singularly perturbed convection-diffusion problems. Adv. Comput. Math. 30(2): 101-121 (2009) - [j18]Torsten Linß, Martin Stynes:
Numerical Solution of Systems of Singularly Perturbed Differential Equations. Comput. Methods Appl. Math. 9(2): 165-191 (2009) - [j17]Aidan Naughton, Martin Stynes:
Singularly Perturbed Convection - Diffusion Problems in One Dimension: Bounds on Derivatives. Comput. Methods Appl. Math. 9(3): 281-291 (2009) - 2008
- [j16]R. Bruce Kellogg, Torsten Linß, Martin Stynes:
A finite difference method on layer-adapted meshes for an elliptic reaction-diffusion system in two dimensions. Math. Comput. 77(264): 2085-2096 (2008) - [c1]Eugene O'Riordan, Jeanne Stynes, Martin Stynes:
An Iterative Numerical Algorithm for a Strongly Coupled System of Singularly Perturbed Convection-Diffusion Problems. NAA 2008: 104-115 - 2007
- [j15]R. Bruce Kellogg, Martin Stynes:
Sharpened bounds for corner singularities and boundary layers in a simple convection-diffusion problem. Appl. Math. Lett. 20(5): 539-544 (2007) - [j14]Martin Stynes:
Convection-diffusion-reaction problems, SDFEM/SUPG and a priori meshes. Int. J. Comput. Sci. Math. 1(2/3/4): 412-431 (2007) - 2006
- [j13]Martin Stynes, Natalia Kopteva:
Numerical analysis of singularly perturbed nonlinear reaction-diffusion problems with multiple solutions. Comput. Math. Appl. 51(5): 857-864 (2006) - 2005
- [j12]Natalia Kopteva, Niall Madden, Martin Stynes:
Grid equidistribution for reaction-diffusion problems in one dimension. Numer. Algorithms 40(3): 305-322 (2005) - 2003
- [j11]Martin Stynes, Lutz Tobiska:
The SDFEM for a Convection-Diffusion Problem with a Boundary Layer: Optimal Error Analysis and Enhancement of Accuracy. SIAM J. Numer. Anal. 41(5): 1620-1642 (2003) - 2001
- [j10]Martin Stynes, Lutz Tobiska:
Analysis of the streamline-diffusion finite element method on a piecewise uniform mesh for a convection-diffusion problem with exponential layers. J. Num. Math. 9(1): 59-76 (2001) - [j9]Torsten Linß, Martin Stynes:
The sdfem on Shishkin meshes for linear convection-diffusion problems. Numerische Mathematik 87(3): 457-484 (2001) - [j8]R. Bruce Kellogg, Martin Stynes:
n-Widths and Singularly Perturbed Boundary Value Problems II. SIAM J. Numer. Anal. 39(2): 690-707 (2001) - [j7]Natalia Kopteva, Martin Stynes:
A Robust Adaptive Method for a Quasi-Linear One-Dimensional Convection-Diffusion Problem. SIAM J. Numer. Anal. 39(4): 1446-1467 (2001)
1990 – 1999
- 1998
- [j6]Martin Stynes, Lutz Tobiska:
A finite difference analysis of a streamline diffusion method on a Shishkin mesh. Numer. Algorithms 18(3-4): 337-360 (1998) - 1997
- [j5]Wen Guo, Martin Stynes:
An analysis of a cell-vertex finite volume method for a parabolic convection-diffusion problem. Math. Comput. 66(217): 105-124 (1997) - [j4]K. W. Morton, Martin Stynes, Endre Süli:
Analysis of a cell-vertex finite volume method for convection-diffusion problems. Math. Comput. 66(220): 1389-1406 (1997) - 1996
- [j3]Guangfu Sun, Martin Stynes:
A uniformly convergent method for a singularly perturbed semilinear reaction-diffusion problem with multiple solutions. Math. Comput. 65(215): 1085-1109 (1996) - 1995
- [j2]Dirk Adam, Andreas Felgenhauer, Hans-Görg Roos, Martin Stynes:
A Nonconforming Finite Element Method for a Singularly Petrurbed Boundary Value Problem. Computing 54(1): 1-26 (1995) - 1994
- [j1]Guangfu Sun, Martin Stynes:
Finite element methods on piecewise equidistant meshes for interior turning point problems. Numer. Algorithms 8(1): 111-129 (1994)
Coauthor Index
Jose L. Gracia
aka: José Luis Gracia
aka: José Luis Gracia
manage site settings
To protect your privacy, all features that rely on external API calls from your browser are turned off by default. You need to opt-in for them to become active. All settings here will be stored as cookies with your web browser. For more information see our F.A.Q.
Unpaywalled article links
Add open access links from 
to the list of external document links (if available).
Privacy notice: By enabling the option above, your browser will contact the API of unpaywall.org to load hyperlinks to open access articles. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the Unpaywall privacy policy.
Archived links via Wayback Machine
For web page which are no longer available, try to retrieve content from the 
of the Internet Archive (if available).
Privacy notice: By enabling the option above, your browser will contact the API of archive.org to check for archived content of web pages that are no longer available. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the Internet Archive privacy policy.
Reference lists
Add a list of references from 
, 
, and 
to record detail pages.
load references from crossref.org and opencitations.net
Privacy notice: By enabling the option above, your browser will contact the APIs of crossref.org, opencitations.net, and semanticscholar.org to load article reference information. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the Crossref privacy policy and the OpenCitations privacy policy, as well as the AI2 Privacy Policy covering Semantic Scholar.
Citation data
Add a list of citing articles from and to record detail pages.
load citations from opencitations.net
Privacy notice: By enabling the option above, your browser will contact the API of opencitations.net and semanticscholar.org to load citation information. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the OpenCitations privacy policy as well as the AI2 Privacy Policy covering Semantic Scholar.
OpenAlex data
Load additional information about publications from 
.
Privacy notice: By enabling the option above, your browser will contact the API of openalex.org to load additional information. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the information given by OpenAlex.
last updated on 2024-10-07 22:12 CEST by the dblp team
all metadata released as open data under CC0 1.0 license
see also: Terms of Use | Privacy Policy | Imprint
dblp was originally created in 1993 at:
since 2018, dblp has been operated and maintained by:
the dblp computer science bibliography is funded and supported by:
