Sergey I. Repin

DOIDOI: 10.1016/j.camwa.2019.04.009

2019Refereed Publications in Journals Peer-ReviewedComputers and Mathematics with Applications 78, pp. 2641–2671(Published: October 1, 2019)

Explicit Constants in Poincaré-Type Inequalities for Simplicial Domains and Application to A Posteriori Estimates

DOIDOI: 10.1515/cmam-2015-0037

2016Refereed Publications in Journals Peer-ReviewedComput. Methods Appl. Math. (CMAM) 16, pp. 277–298(Published: April 1, 2016)

Estimates of the Distance to the Exact Solution of Parabolic Problems Based on Local Poincaré Type Inequalities

DOIDOI: 10.1007/s10958-015-2588-x

2015Refereed Publications in Journals Peer-ReviewedJournal of Mathematical Sciences (New York) 210, pp. 759–778(Published: November 1, 2015)

A posteriori error estimates for time-dependent reaction-diffusionproblems based on the Payne--Weinberger inequality

DOIDOI: 10.3934/dcds.2015.35.2659

2015Refereed Publications in Journals Peer-ReviewedDiscrete Contin. Dyn. Syst. - Series A 35, pp. 2659–2677(Published: January 1, 2015)

Computable estimates of the distance to the exact solution of the evolutionary reaction–diffusion equation

DOIDOI: 10.1016/j.amc.2014.08.055

2014Refereed Publications in Journals Peer-ReviewedAppl. Math. Comput. 247, pp. 329–347(Published: November 1, 2014)

Functional Type Error Control for Stabilised Space-Time IgA Approximations to Parabolic Problems

DOIDOI: 10.1007/978-3-319-73441-5_5

2018Proceedings Refereed Peer-ReviewedIn Lecture Notes in Computer Science, pp. 55–65(Published: January 1, 2018)

Numerical Methods for Differential Equations, Optimization, and Technological Problems

Repin, S. I., Tirronen, T., Neittaanmäki, P., and Kyas, S.

2013Authored Books & Monographs Peer-ReviewedSpringer Netherlands, Dordrecht(Published: January 1, 2013)

DOIDOI: 10.1007/978-94-007-5288-7

Adaptive space-time isogeometric analysis for parabolic evolution problems

DOIDOI: 10.1515/9783110548488-005

2019Book Chapters Peer-ReviewedIn: Ulrich Langer, Olaf Steinbach (Eds.), Space-Time Methods: Applications to Partial Differential Equations, De Gruyter, pp. 141–184(Published: September 23, 2019)

Possible False Negative: Marked as Non-GEG ("no"), but published on September 23, 2019 while Svetlana Kyas [Visitors (2018-12-01–2022-08-31)] [Affiliation: Not specified in DOI metadata] held an active GEG appointment.

RecommendationIf this was an official GEG publication, please set GEG Own to "yes". If conducted externally, please suppress this warning with an explanatory comment in Intra.

Guaranteed Error Bounds for a Class of Picard-Lindelöf Iteration Methods

URLDOIDOI: 10.1007/978-94-007-5288-7_10

2013Book Chapters Peer-ReviewedIn: Sergey Repin, Timo Tiihonen, Tero Tuovinen (Eds.), Numerical Methods for Differential Equations, Optimization, and Technological Problems, Springer Netherlands, pp. 175–189(Published: January 1, 2013)

Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem

Kumar, K., Kyas, S., Nordbotten, J. M., and Repin, S. I.

2021Refereed Publications in Journals Peer-ReviewedComputers & Mathematics with Applications 91, pp. 122–149(Published: June 1, 2021)

DOIDOI: 10.1016/j.camwa.2020.05.005

Space‐Time Isogeometric Analysis of Parabolic Diffusion Problems in Moving Spatial Domains

Kyas, S., Langer, U., and Repin, S. I.

2019Refereed Publications in Journals Peer-ReviewedProceedings in Applied Mathematics and Mechanics (PAMM) 19, Art. e201900504(Published: November 1, 2019)

DOIDOI: 10.1002/pamm.201900504

Guaranteed error bounds and local indicators for adaptive solvers using stabilised space–time IgA approximations to parabolic problems

DOIDOI: 10.1016/j.camwa.2019.04.009

2019Refereed Publications in Journals Peer-ReviewedComputers and Mathematics with Applications 78, pp. 2641–2671(Published: October 1, 2019)

Explicit Constants in Poincaré-Type Inequalities for Simplicial Domains and Application to A Posteriori Estimates

DOIDOI: 10.1515/cmam-2015-0037

2016Refereed Publications in Journals Peer-ReviewedComput. Methods Appl. Math. (CMAM) 16, pp. 277–298(Published: April 1, 2016)

Estimates of the Distance to the Exact Solution of Parabolic Problems Based on Local Poincaré Type Inequalities

DOIDOI: 10.1007/s10958-015-2588-x

2015Refereed Publications in Journals Peer-ReviewedJournal of Mathematical Sciences (New York) 210, pp. 759–778(Published: November 1, 2015)

A posteriori error estimates for time-dependent reaction-diffusionproblems based on the Payne--Weinberger inequality

DOIDOI: 10.3934/dcds.2015.35.2659

2015Refereed Publications in Journals Peer-ReviewedDiscrete Contin. Dyn. Syst. - Series A 35, pp. 2659–2677(Published: January 1, 2015)

Computable estimates of the distance to the exact solution of the evolutionary reaction–diffusion equation

DOIDOI: 10.1016/j.amc.2014.08.055

2014Refereed Publications in Journals Peer-ReviewedAppl. Math. Comput. 247, pp. 329–347(Published: November 1, 2014)

Functional Type Error Control for Stabilised Space-Time IgA Approximations to Parabolic Problems

DOIDOI: 10.1007/978-3-319-73441-5_5

2018Proceedings Refereed Peer-ReviewedIn Lecture Notes in Computer Science, pp. 55–65(Published: January 1, 2018)

Numerical Methods for Differential Equations, Optimization, and Technological Problems

Repin, S. I., Tirronen, T., Neittaanmäki, P., and Kyas, S.

2013Authored Books & Monographs Peer-ReviewedSpringer Netherlands, Dordrecht(Published: January 1, 2013)

DOIDOI: 10.1007/978-94-007-5288-7

Adaptive space-time isogeometric analysis for parabolic evolution problems

DOIDOI: 10.1515/9783110548488-005

2019Book Chapters Peer-ReviewedIn: Ulrich Langer, Olaf Steinbach (Eds.), Space-Time Methods: Applications to Partial Differential Equations, De Gruyter, pp. 141–184(Published: September 23, 2019)

RecommendationIf this was an official GEG publication, please set GEG Own to "yes". If conducted externally, please suppress this warning with an explanatory comment in Intra.

Guaranteed Error Bounds for a Class of Picard-Lindelöf Iteration Methods