Edit Profile (opens in new tab) Lehto, Erik Co-Author Distance Author ID: lehto.erik Published as: Lehto, Erik Documents Indexed: 9 Publications since 2010 Co-Authors: 15 Co-Authors with 9 Joint Publications 239 Co-Co-Authors all top 5 Co-Authors 0 single-authored 3 Flyer, Natasha 3 Fornberg, Bengt 2 Larsson, Elisabeth 2 Wright, Grady B. 1 Blaise, Sébastien 1 Fryklund, Fredrik 1 Ghafari, Paria 1 Heryudono, Alfa R. H. 1 Powell, Collin E. 1 Shankar, Varun 1 St-Cyr, Amik 1 Tillenius, Martin 1 Tornberg, Anna-Karin 1 von Sydow, Lina 1 Wångersjö, Mats Serials 5 Journal of Computational Physics 2 SIAM Journal on Scientific Computing 1 Computers & Mathematics with Applications all top 5 Fields 8 Numerical analysis (65-XX) 3 Fluid mechanics (76-XX) 2 Geophysics (86-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 8 Publications have been cited 421 times in 245 Documents Cited by ▼ Year ▼ Stable calculation of Gaussian-based RBF-FD stencils. Zbl 1319.65011 Fornberg, Bengt; Lehto, Erik; Powell, Collin 98 2013 Stabilization of RBF-generated finite difference methods for convective PDEs. Zbl 1210.65154 Fornberg, Bengt; Lehto, Erik 88 2011 A guide to RBF-generated finite differences for nonlinear transport: shallow water simulations on a sphere. Zbl 1394.76078 Flyer, Natasha; Lehto, Erik; Blaise, Sébastien; Wright, Grady B.; St-Cyr, Amik 79 2012 Stable computation of differentiation matrices and scattered node stencils based on Gaussian radial basis functions. Zbl 1362.65026 Larsson, Elisabeth; Lehto, Erik; Heryudono, Alfa; Fornberg, Bengt 66 2013 A radial basis function (RBF) compact finite difference (FD) scheme for reaction-diffusion equations on surfaces. Zbl 1371.41018 Lehto, Erik; Shankar, Varun; Wright, Grady B. 38 2017 Rotational transport on a sphere: local node refinement with radial basis functions. Zbl 1303.76128 Flyer, Natasha; Lehto, Erik 22 2010 A scalable RBF-FD method for atmospheric flow. Zbl 1349.86014 Tillenius, Martin; Larsson, Elisabeth; Lehto, Erik; Flyer, Natasha 15 2015 Partition of unity extension of functions on complex domains. Zbl 1416.65475 Fryklund, Fredrik; Lehto, Erik; Tornberg, Anna-Karin 15 2018 Partition of unity extension of functions on complex domains. Zbl 1416.65475 Fryklund, Fredrik; Lehto, Erik; Tornberg, Anna-Karin 15 2018 A radial basis function (RBF) compact finite difference (FD) scheme for reaction-diffusion equations on surfaces. Zbl 1371.41018 Lehto, Erik; Shankar, Varun; Wright, Grady B. 38 2017 A scalable RBF-FD method for atmospheric flow. Zbl 1349.86014 Tillenius, Martin; Larsson, Elisabeth; Lehto, Erik; Flyer, Natasha 15 2015 Stable calculation of Gaussian-based RBF-FD stencils. Zbl 1319.65011 Fornberg, Bengt; Lehto, Erik; Powell, Collin 98 2013 Stable computation of differentiation matrices and scattered node stencils based on Gaussian radial basis functions. Zbl 1362.65026 Larsson, Elisabeth; Lehto, Erik; Heryudono, Alfa; Fornberg, Bengt 66 2013 A guide to RBF-generated finite differences for nonlinear transport: shallow water simulations on a sphere. Zbl 1394.76078 Flyer, Natasha; Lehto, Erik; Blaise, Sébastien; Wright, Grady B.; St-Cyr, Amik 79 2012 Stabilization of RBF-generated finite difference methods for convective PDEs. Zbl 1210.65154 Fornberg, Bengt; Lehto, Erik 88 2011 Rotational transport on a sphere: local node refinement with radial basis functions. Zbl 1303.76128 Flyer, Natasha; Lehto, Erik 22 2010 all cited Publications top 5 cited Publications all top 5 Cited by 366 Authors 24 Dehghan Takht Fooladi, Mehdi 14 Fornberg, Bengt 12 Wright, Grady B. 11 Abbaszadeh, Mostafa 11 Kindelan, Manuel Segura 11 Shankar, Varun 8 Flyer, Natasha 8 Larsson, Elisabeth 8 Mohammadi, Vahid 7 Bayona, Victor 6 Feng, Xinlong 6 González-Rodríguez, Pedro 6 Mirzaei, Davoud 6 Moscoso, Miguel 6 Zhang, Shengliang 5 Xiao, Xufeng 4 De Marchi, Stefano 4 Fasshauer, Gregory E. 4 Fogelson, Aaron L. 4 Heryudono, Alfa R. H. 4 Kirby, Robert M. II 4 Lehto, Erik 4 Ling, Leevan 4 Power, Henry 4 Rashidinia, Jalil 4 Soleymani, Fazlollah 3 Álvarez, Diego 3 Bihlo, Alexander 3 Bosler, Peter A. 3 Davydov, Oleg V. 3 Fryklund, Fredrik 3 Huang, Shijie 3 Kazem, Saeed 3 Kuberry, Paul Allen 3 Mishra, Pankaj Kumar 3 Narayan, Akil C. 3 Oanh, Dang Thi 3 Perracchione, Emma 3 Piret, Cécile 3 Platte, Rodrigo B. 3 Santin, Gabriele 3 Sen, Mrinal K. 3 Shcherbakov, Victor 3 Tornberg, Anna-Karin 3 von Sydow, Lina 3 Zhang, Xindong 2 Atzberger, Paul J. 2 Barfeie, Mahdiar 2 Barnett, Gregory A. 2 Bustamante, Carlos Andres 2 Cavoretto, Roberto 2 Ebrahimijahan, Ali 2 Esmaeili, Hamid 2 Florez, Whady Felipe 2 Fu, Zhuojia 2 Fuselier, Edward J. 2 Gholampour, Faranak 2 Gross, Ben J. 2 Haasdonk, Bernard 2 Harlim, John 2 Hatam, Ali 2 He, Yinnian 2 Hesameddini, Esmail 2 Javed, Ali 2 Jiang, Shixiao Willing 2 Jiwari, Ram 2 Jones, Andrew M. 2 Khasi, Manoochehr 2 King, J. R. C. 2 Kropinski, Mary Catherine A. 2 Kumar, Alpesh 2 Le Borne, Sabine 2 Levesley, Jeremy 2 Lind, Steven J. 2 Liu, Juan 2 Lv, Guixia 2 Mai-Duy, Nam 2 Martel, Jordan M. 2 Mazhar, Farrukh 2 Milovanović, Slobodan 2 Moazami, Davoud 2 Narcowich, Francis J. 2 Narimani, Niusha 2 Nath, Sankar K. 2 Nikan, Omid 2 Oosterlee, Cornelis Willebrordus 2 Oruç, Ömer 2 Popovych, Roman O. 2 Roque, C. M. C. 2 Ruuth, Steven J. 2 Safdari-Vaighani, Ali 2 Schaback, Robert 2 Shahane, Shantanu 2 Shen, Longjun 2 Stein, David B. 2 Sun, Zhengjie 2 Taleei, Ameneh 2 Tillenius, Martin 2 Tran-Cong, Thanh 2 Tran, Canh-Dung ...and 266 more Authors all top 5 Cited in 50 Serials 53 Journal of Computational Physics 35 Engineering Analysis with Boundary Elements 22 Journal of Scientific Computing 20 Computers & Mathematics with Applications 15 SIAM Journal on Scientific Computing 7 Journal of Computational and Applied Mathematics 7 Advances in Computational Mathematics 6 Applied Mathematics and Computation 5 Applied Numerical Mathematics 5 Applied Mathematics Letters 4 BIT 4 Computational and Applied Mathematics 4 Communications in Nonlinear Science and Numerical Simulation 3 Computer Methods in Applied Mechanics and Engineering 3 Wave Motion 3 Mathematics and Computers in Simulation 3 Applied Mathematical Modelling 3 International Journal of Computer Mathematics 2 Computers and Fluids 2 Mathematics of Computation 2 Numerical Methods for Partial Differential Equations 2 Computational Geosciences 2 International Journal of Computational Methods 2 Inverse Problems in Science and Engineering 2 Advances in Applied Mathematics and Mechanics 1 Nonlinearity 1 Chaos, Solitons and Fractals 1 Calcolo 1 International Journal for Numerical Methods in Engineering 1 Journal of Approximation Theory 1 Meccanica 1 Numerische Mathematik 1 Studies in Applied Mathematics 1 Journal of Computational Mathematics 1 Computational Mechanics 1 SIAM Journal on Matrix Analysis and Applications 1 Japan Journal of Industrial and Applied Mathematics 1 Numerical Algorithms 1 Computational Mathematics and Mathematical Physics 1 Applied and Computational Harmonic Analysis 1 Numerical Linear Algebra with Applications 1 Chaos 1 International Journal of Applied Mathematics and Computer Science 1 Combustion Theory and Modelling 1 Review of Derivatives Research 1 Communications in Computational Physics 1 Mathematical Geosciences 1 Mathematical Sciences 1 International Journal of Applied and Computational Mathematics 1 Electronic Research Archive all top 5 Cited in 32 Fields 224 Numerical analysis (65-XX) 85 Partial differential equations (35-XX) 50 Fluid mechanics (76-XX) 32 Approximations and expansions (41-XX) 15 Geophysics (86-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Mechanics of deformable solids (74-XX) 8 Biology and other natural sciences (92-XX) 6 Classical thermodynamics, heat transfer (80-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Integral equations (45-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Functions of a complex variable (30-XX) 3 Functional analysis (46-XX) 3 Computer science (68-XX) 3 Optics, electromagnetic theory (78-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Special functions (33-XX) 2 Ordinary differential equations (34-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Operations research, mathematical programming (90-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX) Citations by Year