Stability estimates for radial basis function methods applied to linear scalar conservation laws.

Murtazo Nazarov

Igor Tominec Murtazo Nazarov Elisabeth Larsson Stability estimates for radial basis function methods applied to linear scalar conservation laws. 129020 2025 485 Appl. Math. Comput. https://doi.org/10.1016/j.amc.2024.129020 db/journals/amc/amc485.html#TominecNL25 streams/journals/amc

Junjie Wen Murtazo Nazarov An anisotropic nonlinear stabilization for finite element approximation of Vlasov-Poisson equations. 114079 2025 536 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2025.114079 db/journals/jcphy/jcphy536.html#WenN25 streams/journals/jcphy

Junjie Wen Murtazo Nazarov An anisotropic nonlinear stabilization for finite element approximation of Vlasov-Poisson equations. 2025 March abs/2503.07785 CoRR https://doi.org/10.48550/arXiv.2503.07785 db/journals/corr/corr2503.html#abs-2503-07785 streams/journals/corr

Matthias Maier Peter Munch Murtazo Nazarov Revisiting the Slip Boundary Condition: Surface Roughness as a Hidden Tuning Parameter. 2025 May abs/2505.13068 CoRR https://doi.org/10.48550/arXiv.2505.13068 db/journals/corr/corr2505.html#abs-2505-13068 streams/journals/corr

Katharina Kormann Murtazo Nazarov Junjie Wen A structure-preserving finite element framework for the Vlasov-Maxwell system. 2025 July abs/2507.07607 CoRR https://doi.org/10.48550/arXiv.2507.07607 db/journals/corr/corr2507.html#abs-2507-07607 streams/journals/corr

Lukas Lundgren Murtazo Nazarov A high-order residual-based viscosity finite element method for incompressible variable density flow. 112608 2024 January 497 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2023.112608 db/journals/jcphy/jcphy497.html#LundgrenN24

Tuan Anh Dao Murtazo Nazarov Ignacio Tomas A structure preserving numerical method for the ideal compressible MHD system. 113009 2024 508 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2024.113009 db/journals/jcphy/jcphy508.html#DaoNT24

Lukas Lundgren Murtazo Nazarov A fully conservative and shift-invariant formulation for Galerkin discretizations of incompressible variable density flow. 113086 2024 510 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2024.113086 db/journals/jcphy/jcphy510.html#LundgrenN24a streams/journals/jcphy

Tuan Anh Dao Murtazo Nazarov A nodal based high order nonlinear stabilization for finite element approximation of Magnetohydrodynamics. 113146 2024 512 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2024.113146 db/journals/jcphy/jcphy512.html#DaoN24 streams/journals/jcphy

Tuan Anh Dao Lukas Lundgren Murtazo Nazarov Viscous Regularization of the MHD Equations. 1439-1459 2024 84 SIAM J. Appl. Math. 4 https://doi.org/10.1137/23m1564274 db/journals/siamam/siamam84.html#DaoLN24 streams/journals/siamam

Tuan Anh Dao Lukas Lundgren Murtazo Nazarov Viscous regularization of the MHD equations. 2024 abs/2402.03929 CoRR https://doi.org/10.48550/arXiv.2402.03929 db/journals/corr/corr2402.html#abs-2402-03929

Tuan Anh Dao Murtazo Nazarov A nodal based high order nonlinear stabilization for finite element approximation of Magnetohydrodynamics. 2024 abs/2404.09311 CoRR https://doi.org/10.48550/arXiv.2404.09311 db/journals/corr/corr2404.html#abs-2404-09311

Lukas Lundgren Murtazo Nazarov A high-order artificial compressibility method based on Taylor series time-stepping for variable density flow. 114846 2023 421 J. Comput. Appl. Math. https://doi.org/10.1016/j.cam.2022.114846 db/journals/jcam/jcam421.html#LundgrenN23

Lena Leitenmaier Murtazo Nazarov A finite element based heterogeneous multiscale method for the Landau-Lifshitz equation. 112112 2023 486 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2023.112112 db/journals/jcphy/jcphy486.html#LeitenmaierN23

Igor Tominec Murtazo Nazarov Residual Viscosity Stabilized RBF-FD Methods for Solving Nonlinear Conservation Laws. 14 2023 94 J. Sci. Comput. 1 https://doi.org/10.1007/s10915-022-02055-8 db/journals/jscic/jscic94.html#TominecN23

Lukas Lundgren Murtazo Nazarov A fully conservative and shift-invariant formulation for Galerkin discretizations of incompressible variable density flow. 2023 abs/2305.04813 CoRR https://doi.org/10.48550/arXiv.2305.04813 db/journals/corr/corr2305.html#abs-2305-04813

Tuan Anh Dao Murtazo Nazarov Ignacio Tomas Structure preserving numerical methods for the ideal compressible MHD system. 2023 abs/2310.18467 CoRR https://doi.org/10.48550/arXiv.2310.18467 db/journals/corr/corr2310.html#abs-2310-18467

Ivy Weber Gunilla Kreiss Murtazo Nazarov Stability analysis of high order methods for the wave equation. 113900 2022 404 J. Comput. Appl. Math. https://doi.org/10.1016/j.cam.2021.113900 db/journals/jcam/jcam404.html#WeberKN22

Tuan Anh Dao Ken Mattsson Murtazo Nazarov Energy stable and accurate coupling of finite element methods and finite difference methods. 110791 2022 449 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2021.110791 db/journals/jcphy/jcphy449.html#DaoMN22

Tuan Anh Dao Murtazo Nazarov A High-Order Residual-Based Viscosity Finite Element Method for the Ideal MHD Equations. 77 2022 92 J. Sci. Comput. 3 https://doi.org/10.1007/s10915-022-01918-4 https://www.wikidata.org/entity/Q114225547 db/journals/jscic/jscic92.html#DaoN22

Tuan Anh Dao Murtazo Nazarov Monolithic parabolic regularization of the MHD equations and entropy principles. 2022 abs/2206.09568 CoRR https://doi.org/10.48550/arXiv.2206.09568 db/journals/corr/corr2206.html#abs-2206-09568

Lukas Lundgren Murtazo Nazarov A high-order artificial compressibility method based on Taylor series time-stepping for variable density flow. 2022 abs/2209.09698 CoRR https://doi.org/10.48550/arXiv.2209.09698 db/journals/corr/corr2209.html#abs-2209-09698

Vidar Stiernström Lukas Lundgren Murtazo Nazarov Ken Mattsson A residual-based artificial viscosity finite difference method for scalar conservation laws. 110100 2021 430 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2020.110100 db/journals/jcphy/jcphy430.html#StiernstromLNM21

Andrea Bonito Murtazo Nazarov Numerical Simulations of Surface Quasi-Geostrophic Flows on Periodic Domains. B405-B430 2021 43 SIAM J. Sci. Comput. 2 https://doi.org/10.1137/20M1342616 db/journals/siamsc/siamsc43.html#BonitoN21

Tuan Anh Dao Ken Mattsson Murtazo Nazarov Energy stable and accurate coupling of finite element methods and finite difference methods. 2021 abs/2103.07288 CoRR https://arxiv.org/abs/2103.07288 db/journals/corr/corr2103.html#abs-2103-07288

Igor Tominec Murtazo Nazarov Residual viscosity stabilized RBF-FD methods for solving nonlinear conservation laws. 2021 abs/2109.07183 CoRR https://arxiv.org/abs/2109.07183 db/journals/corr/corr2109.html#abs-2109-07183

Igor Tominec Murtazo Nazarov Elisabeth Larsson Stability estimates for radial basis function methods applied to time-dependent hyperbolic PDEs. 2021 abs/2110.14548 CoRR https://arxiv.org/abs/2110.14548 db/journals/corr/corr2110.html#abs-2110-14548

Lena Leitenmaier Murtazo Nazarov A finite element based Heterogeneous Multiscale Method for the Landau-Lifshitz equation. 2021 abs/2111.11197 CoRR https://arxiv.org/abs/2111.11197 db/journals/corr/corr2111.html#abs-2111-11197

Tuan Anh Dao Murtazo Nazarov A high-order residual-based viscosity finite element method for the ideal MHD equations. 2021 abs/2112.08885 CoRR https://arxiv.org/abs/2112.08885 db/journals/corr/corr2112.html#abs-2112-08885

Andrea Bonito Murtazo Nazarov Numerical Simulations of Surface-Quasi Geostrophic Flows on Periodic Domains. 2020 abs/2006.01180 CoRR https://arxiv.org/abs/2006.01180 db/journals/corr/corr2006.html#abs-2006-01180

Jean-Luc Guermond Murtazo Nazarov Bojan Popov Ignacio Tomas Second-Order Invariant Domain Preserving Approximation of the Euler Equations Using Convex Limiting. A3211-A3239 2018 40 SIAM J. Sci. Comput. 5 https://doi.org/10.1137/17M1149961 https://www.wikidata.org/entity/Q129142204 db/journals/siamsc/siamsc40.html#GuermondNPT18

Markus Bürg Murtazo Nazarov Goal-oriented adaptive finite element methods for elliptic problems revisited. 125-147 2015 287 J. Comput. Appl. Math. https://doi.org/10.1016/j.cam.2015.03.031 db/journals/jcam/jcam287.html#BurgN15

Simone Marras Murtazo Nazarov Francis X. Giraldo Stabilized high-order Galerkin methods based on a parameter-free dynamic SGS model for LES. 77-101 2015 301 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2015.07.034 db/journals/jcphy/jcphy301.html#MarrasNG15

Jean-Luc Guermond Murtazo Nazarov Bojan Popov Yong Yang A Second-Order Maximum Principle Preserving Lagrange Finite Element Technique for Nonlinear Scalar Conservation Equations. 2163-2182 2014 52 SIAM J. Numer. Anal. 4 https://doi.org/10.1137/130950240 db/journals/siamnum/siamnum52.html#GuermondNPY14

Murtazo Nazarov Convergence of a residual based artificial viscosity finite element method. 616-626 2013 65 Comput. Math. Appl. 4 https://doi.org/10.1016/j.camwa.2012.11.003 db/journals/cma/cma65.html#Nazarov13

Murtazo Nazarov Johan Hoffman On the Stability of the Dual Problem for High Reynolds Number Flow Past a Circular Cylinder in Two Dimensions. 2012 34 SIAM J. Sci. Comput. 4 https://doi.org/10.1137/110836213 db/journals/siamsc/siamsc34.html#NazarovH12

Niclas Jansson Johan Hoffman Murtazo Nazarov Adaptive simulation of turbulent flow past a full car model. 20:1-20:8 2011 SC State of the Practice Reports https://doi.org/10.1145/2063348.2063375 conf/sc/2011s db/conf/sc/sc2011s.html#JanssonHN11 Andrea Bonito Markus Bürg Anh Dao-TuanTuan Anh Dao Francis X. Giraldo Jean-Luc Guermond Johan Hoffman Niclas Jansson Katharina Kormann Gunilla Kreiss Elisabeth Larsson Lena Leitenmaier Lukas Lundgren Matthias Maier Simone Marras Ken Mattsson Peter Munch Bojan Popov Vidar Stiernström Ignacio Tomas Igor Tominec Ivy Weber Junjie Wen Yong Yang