Leevan Ling

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All published works
Action Title Year Authors
+ Proving the stability estimates of variational least-squares kernel-based methods 2024 Meng Chen
Leevan Ling
Dongfang Yun
+ PDF Chat Greedy Trial Subspace Selection in Meshfree Time-Stepping Scheme with Applications in Coupled Bulk-Surface Pattern 2024 Yichen Su
Leevan Ling
+ PDF Chat Realistic Pattern Formations on Surfaces by Adding Arbitrary Roughness 2024 Siqing Li
Leevan Ling
Steven J. Ruuth
Xuemeng Wang
+ PDF Chat Simulating time-harmonic acoustic wave effects induced by periodic holes/inclusions on surfaces 2024 Wen Hu
Zhuojia Fu
Leevan Ling
+ PDF Chat Learning PDEs from data on closed surfaces with sparse optimization 2024 Zhengjie Sun
Leevan Ling
Ran Zhang
+ Exploring oversampling in RBF least-squares collocation method of lines for surface diffusion 2024 Meng Chen
Leevan Ling
+ PDF Chat Enhancing RBF-FD Efficiency for Highly Non-Uniform Node Distributions via Adaptivity 2024 Siqing Li
Leevan Ling
Xin Liu
Pankaj K. Mishra
Mrinal K. Sen
Jing Zhang
+ PDF Chat Proving the Stability Estimates of Variational Least-Squares Kernel-Based Methods 2024 Meng Chen
Leevan Ling
Dongfang Yun
+ PDF Chat A Kernel-Based Least-Squares Collocation Method for Surface Diffusion 2023 Meng Chen
Ka Chun Cheung
Leevan Ling
+ Realistic pattern formations on surfaces by adding arbitrary roughness 2023 Siqing Li
Leevan Ling
Steven J. Ruuth
Xuemeng Wang
+ Simulating time-harmonic acoustic wave effects induced by periodic holes/inclusions on surfaces 2023 Wen Jun Hu
Zhuojia Fu
Leevan Ling
+ Proving the stability estimates of variational least-squares Kernel-Based methods 2023 Meng Chen
Leevan Ling
Dongfang Yun
+ Structure-preserving Kernel-based methods for solving dissipative PDEs on surfaces 2023 Zhengjie Sun
Leevan Ling
Chen Meng
+ PDF Chat A Kernel-Based Meshless Conservative Galerkin Method for Solving Hamiltonian Wave Equations 2022 Zhengjie Sun
Leevan Ling
+ PDF Chat KERNEL-BASED METHODS FOR SOLVING SURFACE PARTIAL DIFFERENTIAL EQUATIONS 2022 Meng Chen
Leevan Ling
+ PDF Chat A stochastic extended Rippa’s algorithm for LpOCV 2022 Leevan Ling
Francesco Marchetti
+ Exploring Oversampling in RBF Least-Squares Collocation Method of Lines for Surface Diffusion 2022 Meng Chen
Leevan Ling
+ A kernel-based meshless conservative Galerkin method for solving Hamiltonian wave equations 2022 Zhengjie Sun
Leevan Ling
+ A localized extrinsic collocation method for Turing pattern formations on surfaces 2021 Zhuochao Tang
Zhuojia Fu
Meng Chen
Leevan Ling
+ A kernel-based least-squares collocation method for surface diffusion 2021 Meng Chen
Ka Chun Cheung
Leevan Ling
+ A stochastic extended Rippa's algorithm for LpOCV 2021 Francesco Marchetti
Leevan Ling
+ Adaptive radial basis function generated finite-difference (RBF-FD) on non-uniform nodes using p-refinement. 2020 Pankaj K. Mishra
Leevan Ling
Xin Liu
Mrinal K. Sen
+ PDF Chat Complex Pattern Formations by Spatial Varying Parameters 2020 Siqing Li
Leevan Ling
+ Enhancing RBF-FD Efficiency for Highly Non-Uniform Node Distributions via Adaptivity 2020 Leevan Ling
Pankaj Kumar Mishra
Siqing Li
Xin Liu
Jing Zhang
Mrinal Sen
+ PDF Chat Kernel-based collocation methods for heat transport on evolving surfaces 2019 Meng Chen
Leevan Ling
+ Discrete least-squares radial basis functions approximations 2019 Siqing Li
Leevan Ling
Ka Chun Cheung
+ PDF Chat A least-squares implicit RBF-FD closest point method and applications to PDEs on moving surfaces 2019 Argyrios Petras
Leevan Ling
CĂ©cile Piret
Steven J. Ruuth
+ A stabilized radial basis-finite difference (RBF-FD) method with hybrid kernels 2018 Pankaj K. Mishra
Gregory E. Fasshauer
Mrinal K. Sen
Leevan Ling
+ PDF Chat An RBF-FD closest point method for solving PDEs on surfaces 2018 Argyrios Petras
Leevan Ling
Steven J. Ruuth
+ $H^2$--Convergence of least-squares kernel collocation methods 2018 Ka‐Chun Cheung
Leevan Ling
Robert Schaback
+ PDF Chat $H^2$-Convergence of Least-Squares Kernel Collocation Methods 2018 Ka Chun Cheung
Leevan Ling
Robert Schaback
+ $H^2$--Convergence of least-squares kernel collocation methods 2018 Ka‐Chun Cheung
Leevan Ling
Robert Schaback
+ A fractional model for time-variant non-Newtonian flow 2016 Xu Yang
Wen Chen
Rui Xiao
Leevan Ling
+ Regularization for 2-D Fractional Sideways Heat Equations 2015 Wang CaiXian
Leevan Ling
Xiangtuan Xiong
Ming Li
+ Method of approximate particular solutions for constant- and variable-order fractional diffusion models 2014 Zhuojia Fu
Wen Chen
Leevan Ling
+ Numerical Caputo Differentiation by Radial Basis Functions 2014 Ming Li
Yujiao Wang
Leevan Ling
+ NUMERICAL SIMULATIONS FOR SPACE–TIME FRACTIONAL DIFFUSION EQUATIONS 2013 Leevan Ling
Masahiro Yamamoto
+ Combinations of the method of fundamental solutions for general inverse source identification problems 2012 Fuzhang Wang
Wen Chen
Leevan Ling
+ Meshless simulations of the two-dimensional fractional-time convection–diffusion–reaction equations 2012 Ahmad Shirzadi
Leevan Ling
S. Abbasbandy
+ International Conference on Inverse Problems 2010 2011 Y.C. Hon
Leevan Ling
+ On numerical experiments for Cauchy problems of elliptic operators 2011 Fenglian Yang
Leevan Ling
+ PDF Chat An Energy Regularization for Cauchy Problems of Laplace Equation in Annulus Domain 2010 Houde Han
Leevan Ling
Tomoya Takeuchi
+ An adaptive greedy technique for inverse boundary determination problem 2010 Fenglian Yang
Leevan Ling
Ting Wei
+ Numerical simulations of 2D fractional subdiffusion problems 2010 Hermann Brunner
Leevan Ling
Masahiro Yamamoto
+ Confidence intervals for a difference between proportions based on paired data 2009 Man‐Lai Tang
Man Ho Ling
Leevan Ling
Guo‐Liang Tian
+ On convergence of a least-squares kansa's method for the modified helmholtz equations 2009 Ting On Kwok
Leevan Ling
+ Arbitrary Precision Computations of Variations of Kansa's Method 2008 Leevan Ling
+ On convergent numerical algorithms for unsymmetric collocation 2008 Cheng-Feng Lee
Leevan Ling
Robert Schaback
+ Boundary control for inverse Cauchy problems of the Laplace equations 2008 Leevan Ling
Tomoya Takeuchi
+ An accurate refinement scheme for inverse heat source location identifications 2007 Leevan Ling
Tomoya Takeuchi
+ A COMPUTATIONAL METHOD FOR SOLVING CAUCHY PROBLEMS OF ELLIPTIC OPERATORS 2007 Y.C. Hon
Ting Wei
Leevan Ling
+ Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators 2007 Ting Wei
Y.C. Hon
Leevan Ling
+ Stability analysis for the penalty plus hybrid and the direct Trefftz methods for singularity problems 2006 Zi Cai Li
Hung Tsai Huang
Jin Huang
Leevan Ling
+ Identification of source locations in two-dimensional heat equations 2006 Leevan Ling
Masahiro Yamamoto
Y.C. Hon
Tomoya Takeuchi
+ Finding Numerical Derivatives for Unstructured and Noisy Data by Multiscale Kernels 2006 Leevan Ling
+ Improved numerical solver for Kansa's method based on affine space decomposition 2005 Leevan Ling
Y.C. Hon
+ Adaptive multiquadric collocation for boundary layer problems 2005 Leevan Ling
Manfred R. Trummer
+ PDF Chat Inverse source identification for Poisson equation 2005 Leevan Ling
Y.C. Hon
Masahiro Yamamoto
+ Inverse Source Identication for Poisson Equation 2005 Leevan Ling
Y.C. Hon
Masahiro Yamamoto
+ Multiquadric collocation method with integralformulation for boundary layer problems 2004 Leevan Ling
Manfred R. Trummer
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat Scattered Data Interpolation on Embedded Submanifolds with Restricted Positive Definite Kernels: Sobolev Error Estimates 2012 Edward J. Fuselier
Grady B. Wright
9
+ PDF Chat $H^2$-Convergence of Least-Squares Kernel Collocation Methods 2018 Ka Chun Cheung
Leevan Ling
Robert Schaback
9
+ PDF Chat Calculus on Surfaces with General Closest Point Functions 2012 Thomas MĂ€rz
Colin B. Macdonald
8
+ PDF Chat A High-Order Kernel Method for Diffusion and Reaction-Diffusion Equations on Surfaces 2013 Edward J. Fuselier
Grady B. Wright
7
+ On unsymmetric collocation by radial basis functions 2001 Y.C. Hon
Robert Schaback
7
+ Fractional differential equations 1999 Igor PodlubnĂœ
5
+ PDF Chat An RBF-FD closest point method for solving PDEs on surfaces 2018 Argyrios Petras
Leevan Ling
Steven J. Ruuth
5
+ Boundary Layer Resolving Pseudospectral Methods for Singular Perturbation Problems 1996 Tao Tang
Manfred R. Trummer
5
+ A numerical computation for inverse boundary determination problem 2000 Y.C. Hon
Zongmin Wu
5
+ Numerical Computation of a Cauchy Problem for Laplace's Equation 2001 Jin Cheng
Y.C. Hon
Ting Wei
Masahiro Yamamoto
5
+ PDF Chat REGULARIZATION TOOLS: A Matlab package for analysis and solution of discrete ill-posed problems 1994 Per Christian Hansen
5
+ None 1998 Graeme Fairweather
Andréas Karageorghis
5
+ On convergent numerical algorithms for unsymmetric collocation 2008 Cheng-Feng Lee
Leevan Ling
Robert Schaback
5
+ Numerical simulations of 2D fractional subdiffusion problems 2010 Hermann Brunner
Leevan Ling
Masahiro Yamamoto
5
+ Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators 2007 Ting Wei
Y.C. Hon
Leevan Ling
5
+ Superconvergence of kernel-based interpolation 2018 Robert Schaback
4
+ Stability and Regularization of a Discrete Approximation to the Cauchy Problem for Laplace's Equation 1999 Hans‐JĂŒrgen Reinhardt
Houde Han
Ðinh Nho Hào
4
+ PDF Chat A Radial Basis Function (RBF)-Finite Difference (FD) Method for Diffusion and Reaction–Diffusion Equations on Surfaces 2014 Varun Shankar
Grady B. Wright
Robert M. Kirby
Aaron L. Fogelson
4
+ Backus-Gilbert algorithm for the Cauchy problem of the Laplace equation 2001 Y.C. Hon
Ting Wei
4
+ PDF Chat All well-posed problems have uniformly stable and convergent discretizations 2015 Robert Schaback
4
+ The Cauchy problem for Laplace's equation via the conjugate gradient method 2000 D. N. Hao
4
+ On the inverse potential problem of electrocardiology 1979 Piero Colli Franzone
Enrico Magenes
4
+ Sobolev Error Estimates and a Bernstein Inequality for Scattered Data Interpolation via Radial Basis Functions 2006 Francis J. Narcowich
J. D. Ward
Holger Wendland
4
+ The method of fundamental solution for solving multidimensional inverse heat conduction problems 2005 Y.C. Hon
Ting Wei
3
+ A high-order meshless Galerkin method for semilinear parabolic equations on spheres 2019 Jens KĂŒnemund
Francis J. Narcowich
J. D. Ward
Holger Wendland
3
+ Direct and Inverse Results on Bounded Domains for Meshless Methods via Localized Bases on Manifolds 2018 Thomas Hangelbroek
Francis J. Narcowich
Christian Rieger
J. D. Ward
3
+ The overlapped radial basis function-finite difference (RBF-FD) method: A generalization of RBF-FD 2017 Varun Shankar
3
+ Multiquadric collocation method with integralformulation for boundary layer problems 2004 Leevan Ling
Manfred R. Trummer
3
+ Some remarks on the problem of source identification from boundary measurements 1998 Abdellatif El Badia
T. Ha Duong
3
+ Stabilization of RBF-generated finite difference methods for convective PDEs 2010 Bengt Fornberg
Erik Lehto
3
+ PDF Chat THE METHOD OF APPROXIMATE PARTICULAR SOLUTIONS FOR SOLVING ELLIPTIC PROBLEMS WITH VARIABLE COEFFICIENTS 2011 C.S. Chen
Chia‐Ming Fan
P.H. Wen
3
+ The Method Of Fundamental Solutions For Solving Poisson Problems 2002 Carlos J.S. Alves
C. S. Chen
B. Saler
3
+ PDF Chat Existence and Uniqueness of the Weak Solution of the Space-time Fractional Diffusion Equation and a Spectral Method Approximation 2010 Xinglong Li
Chuanju Xu
èźžäŒ ç‚Ź
3
+ PDF Chat Fundamental solutions for differential operators and applications 1997 Prem K. Kythe
3
+ Two dimensional steady-state inverse heat conduction problems 1998 N.M. Al‐Najem
A. M. Osman
M.M. El‐Refaee
Khalil Khanafer
3
+ Extension of sampling inequalities to Sobolev semi-norms of fractional order and derivative data 2011 Rémi Arcangéli
Marı́a Cruz LĂłpez de Silanes
Juan José Torrens
3
+ Numerical solution of a Cauchy problem for the Laplace equation 2001 Fredrik Berntsson
Lars Eldén
3
+ Miscellaneous error bounds for multiquadric and related interpolators 1992 W. R. Madych
3
+ PDF Chat Continuous-time random walk and parametric subordination in fractional diffusion 2007 Rudolf Gorenflo
Francesco Mainardi
A. Vivoli
3
+ PDF Chat Modelling cell motility and chemotaxis with evolving surface finite elements 2012 Charles M. Elliott
Björn Stinner
Chandrasekhar Venkataraman
3
+ Stable determination of a crack from boundary measurements 1993 Giovanni Alessandrini
3
+ Theory and applications of the multiquadric-biharmonic method 20 years of discovery 1968–1988 1990 Rolland L. Hardy
3
+ Approximation power of RBFs and their associated SBFs: a connection 2006 Francis J. Narcowich
Xinping Sun
J. D. Ward
3
+ Regularization of Inverse Problems 1996 Heinz W. Engl
Martin Hanke
Andreas B. Neubauer
3
+ Analysis of Discrete Ill-Posed Problems by Means of the L-Curve 1992 Per Christian Hansen
3
+ PDF Chat The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems 1993 Per Christian Hansen
Dianne P. O’Leary
3
+ A projective method for an inverse source problem of the Poisson equation 2003 Takaaki Nara
Shigeru Ando
3
+ The random walk's guide to anomalous diffusion: a fractional dynamics approach 2000 Ralf Metzler
J. Klafter
3
+ Motion by mean curvature of curves on surfaces using the Allen–Cahn equation 2015 Yongho Choi
Darae Jeong
Seunggyu Lee
Minhyun Yoo
Junseok Kim
2
+ PDF Chat Solving eigenvalue problems on curved surfaces using the Closest Point Method 2011 Colin B. Macdonald
Jeremy Brandman
Steven J. Ruuth
2