Linear singularly perturbed systems without slow-fast split

JOURNAL ARTICLE published December 2023 in Computational Optimization and Applications

Authors: Zvi Artstein

A hybrid initial-value technique for singularly perturbed boundary value problems

JOURNAL ARTICLE published April 2013 in Computational and Applied Mathematics

Authors: Vinod Kumar | Rajesh K. Bawa | A. K. Lal

Computing singularly perturbed differential equations

JOURNAL ARTICLE published February 2018 in Journal of Computational Physics

Research funded by NSF (NSF-CMMI-1435624,NSF-CMMI-1435624,NSF-DMS-1434734) | ARO (W911NF-15-1-0239)

Authors: Sabyasachi Chatterjee | Amit Acharya | Zvi Artstein

A System of Singularly Perturbed Periodic Boundary Value Problem: Hybrid Difference Scheme

JOURNAL ARTICLE published June 2020 in International Journal of Applied and Computational Mathematics

Authors: A. Puvaneswari | T. Valanarasu | A. Ramesh Babu

A high order convergent adaptive numerical method for singularly perturbed nonlinear systems

JOURNAL ARTICLE published March 2022 in Computational and Applied Mathematics

Authors: Shashikant Kumar | Sunil Kumar

A parameter-uniform numerical method for singularly perturbed Burgers’ equation

JOURNAL ARTICLE published September 2022 in Computational and Applied Mathematics

Authors: Eshetu B. Derzie | Justin B. Munyakazi | Tekle Gemechu

An effective numerical approach for two parameter time-delayed singularly perturbed problems

JOURNAL ARTICLE published December 2022 in Computational and Applied Mathematics

Research funded by University Grants Commission (1078/(CSIR-UGC NET JUNE 2019))

Authors: Satpal Singh | Parvin Kumari | Devendra Kumar

An efficient numerical method for coupled systems of singularly perturbed parabolic delay problems

JOURNAL ARTICLE published February 2022 in Computational and Applied Mathematics

Research funded by Council of Scientific and Industrial Research, India (09/1217(0035)/2018-EMR-I)

Authors: Sunil Kumar | Joginder Singh

Error Control for Approximate Solutions of a Class of Singularly Perturbed Boundary Value Problems

JOURNAL ARTICLE published November 2022 in Computational Mathematics and Mathematical Physics

Authors: S. I. Repin

Wavelet-based approximation with nonstandard finite difference scheme for singularly perturbed partial integrodifferential equations

JOURNAL ARTICLE published December 2022 in Computational and Applied Mathematics

Research funded by Council of Scientific and Industrial Research, India (09/719(0096)/2019-EMR-I) | UGC-DAE Consortium for Scientific Research, University Grants Commission (1078/(CSIR-UGC NET JUNE 2019) | Department of Science and Technology, Ministry of Science and Technology (MTR/2018/000784)

Authors: Devendra Kumar | Komal Deswal | Satpal Singh

Numerical study of two-parameter singularly perturbed problem in two dimensions on an exponentially graded mesh

JOURNAL ARTICLE published March 2022 in Computational and Applied Mathematics

Authors: Meenakshi Shivhare | Pramod Chakravarthy Podila

A continuous interior penalty finite element method for a third-order singularly perturbed boundary value problem

JOURNAL ARTICLE published March 2018 in Computational and Applied Mathematics

Research funded by Ministry of Education, Science and Technological Development of the Republic of Serbia (174030,174030)

Authors: Helena Zarin | Hans-Görg Roos | Ljiljana Teofanov

A new numerical algorithm for time-dependent singularly perturbed differential-difference convection–diffusion equation arising in computational neuroscience

JOURNAL ARTICLE published December 2022 in Computational and Applied Mathematics

Authors: Mohammad Prawesh Alam | Arshad Khan

Asymptotic solution method for the control of the minimal force for a linear singularly perturbed system

JOURNAL ARTICLE published December 2011 in Computational Mathematics and Mathematical Physics

Authors: A. I. Kalinin

A Numerical Method for Singularly Perturbed Second Order Coupled System of Convection–Diffusion Robin Type Boundary Value Problems with Discontinuous Source Term

JOURNAL ARTICLE published September 2015 in International Journal of Applied and Computational Mathematics

Authors: P. Mahabub Basha | V. Shanthi

Asymptotic method for solving the time-optimal control problem for a nonlinear singularly perturbed system

JOURNAL ARTICLE published November 2008 in Computational Mathematics and Mathematical Physics

Authors: Ya. O. Grudo | A. I. Kalinin

A priori and a posteriori error analysis for a system of singularly perturbed Volterra integro-differential equations

JOURNAL ARTICLE published September 2023 in Computational and Applied Mathematics

Authors: Aishwarya Jaiswal | Shashikant Kumar | Sunil Kumar

Optimal order uniform convergence in energy and balanced norms of weak Galerkin finite element method on Bakhvalov-type meshes for nonlinear singularly perturbed problems

JOURNAL ARTICLE published December 2022 in Computational and Applied Mathematics

Authors: Şuayip Toprakseven

A posteriori error estimation in maximum norm for a system of singularly perturbed Volterra integro-differential equations

JOURNAL ARTICLE published December 2020 in Computational and Applied Mathematics

Research funded by National Natural Science Foundation of China (11761015)

Authors: Ying Liang | Li-Bin Liu | Zhongdi Cen

Fitted Mesh Method for Singularly Perturbed Robin Type Boundary Value Problem with Discontinuous Source Term

JOURNAL ARTICLE published September 2015 in International Journal of Applied and Computational Mathematics

Authors: M. Chandru | V. Shanthi