Journal: SIAM J. Numerical Analysis

Volume 56, Issue 6

3169 -- 3195Denis Belomestny, John Schoenmakers. Projected Particle Methods for Solving McKean-Vlasov Stochastic Differential Equations
3196 -- 3218Jay Gopalakrishnan, Martin Neumüller, Panayot S. Vassilevski. The Auxiliary Space Preconditioner for the de Rham Complex
3219 -- 3248Jisheng Kou, Shuyu Sun 0001, Xiuhua Wang 0002. Linearly Decoupled Energy-Stable Numerical Methods for Multicomponent Two-Phase Compressible Flow
3249 -- 3275Weihua Deng, Buyang Li, Zhi Qian, Hong Wang. Time Discretization of a Tempered Fractional Feynman-Kac Equation with Measure Data
3276 -- 3307Leah Isherwood, Zachary J. Grant, Sigal Gottlieb. Strong Stability Preserving Integrating Factor Runge-Kutta Methods
3308 -- 3345Hao Li, Shusen Xie, Xiangxiong Zhang. A High Order Accurate Bound-Preserving Compact Finite Difference Scheme for Scalar Convection Diffusion Equations
3346 -- 3357Peter Binev. Tree Approximation for hp-Adaptivity
3358 -- 3385Qin Li, Ruiwen Shu, Li Wang. A New Numerical Approach to Inverse Transport Equation with Error Analysis
3386 -- 3406Peter Giesl, Holger Wendland. Kernel-Based Discretization for Solving Matrix-Valued PDEs
3407 -- 3429Bernardo Cockburn, Guosheng Fu, Weifeng Qiu. 1-Inequalities for Spaces Admitting M-Decompositions
3430 -- 3458Andrei Cozma, Christoph Reisinger. Strong Convergence Rates for Euler Approximations to a Class of Stochastic Path-Dependent Volatility Models
3459 -- 3479Ivan V. Oseledets, Maxim V. Rakhuba, André Uschmajew. Alternating Least Squares as Moving Subspace Correction
3480 -- 3509Erik Burman, Mats G. Larson, Lauri Oksanen. Primal-Dual Mixed Finite Element Methods for the Elliptic Cauchy Problem
3510 -- 3533Herbert Egger, Christoph Erath, Robert Schorr. On the Nonsymmetric Coupling Method for Parabolic-Elliptic Interface Problems
3534 -- 3579Ricardo J. Alonso, Irene M. Gamba, Sri Harsha Tharkabhushanam. Convergence and Error Estimates for the Lagrangian-Based Conservative Spectral Method for Boltzmann Equations
3580 -- 3610Giovanni Russo 0001, Seok-Bae Yun. Convergence of a Semi-Lagrangian Scheme for the Ellipsoidal BGK Model of the Boltzmann Equation
3611 -- 3647Félix del Teso, Jørgen Endal, Espen R. Jakobsen. Robust Numerical Methods for Nonlocal (and Local) Equations of Porous Medium Type. Part II: Schemes and Experiments
3648 -- 3666Susanne Solem. Convergence Rates of the Front Tracking Method for Conservation Laws in the Wasserstein Distances

Volume 56, Issue 5

2701 -- 2730Assyr Abdulle, Timothée Pouchon. Effective Models for Long Time Wave Propagation in Locally Periodic Media
2731 -- 2750Pierre Cantin, Norbert Heuer. A DPG Framework for Strongly Monotone Operators
2751 -- 2775Andy T. S. Wan, Jean-Christophe Nave. On the Arbitrarily Long-Term Stability of Conservative Methods
2776 -- 2795Mark S. Gockenbach, Matthew J. Roberts. Approximating the Generalized Singular Value Expansion
2796 -- 2825Long Chen, Xuehai Huang. Decoupling of Mixed Methods Based on Generalized Helmholtz Decompositions
2826 -- 2844Johnny Guzmán, Michael Neilan. Inf-Sup Stable Finite Elements on Barycentric Refinements Producing Divergence-Free Approximations in Arbitrary Dimensions
2845 -- 2870Roberta Bianchini, Laurent Gosse. A Truly Two-Dimensional Discretization of Drift-Diffusion Equations on Cartesian Grids
2871 -- 2894Andreas Veeser, Pietro Zanotti. Quasi-Optimal Nonconforming Methods for Symmetric Elliptic Problems. III - Discontinuous Galerkin and Other Interior Penalty Methods
2895 -- 2912Jie Shen 0001, Jie Xu. Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows
2913 -- 2939Shuhao Cao, Long Chen. Anisotropic Error Estimates of the Linear Virtual Element Method on Polygonal Meshes
2940 -- 2962Lourenço Beirão da Veiga, Franco Brezzi, Franco Dassi, L. Donatella Marini, Alessandro Russo 0002. A Family of Three-Dimensional Virtual Elements with Applications to Magnetostatics
2963 -- 2988Andrea Bonito, Alan Demlow, Justin Owen. A Priori Error Estimates for Finite Element Approximations to Eigenvalues and Eigenfunctions of the Laplace-Beltrami Operator
2989 -- 3009Ulrik S. Fjordholm, Kjetil O. Lye, Siddhartha Mishra. Numerical Approximation of Statistical Solutions of Scalar Conservation Laws
3010 -- 3039Zhijiang Zhang, Weihua Deng, George E. Karniadakis. A Riesz Basis Galerkin Method for the Tempered Fractional Laplacian
3040 -- 3070Chenglong Zhang, Irene M. Gamba. A Conservative Discontinuous Galerkin Solver for the Space Homogeneous Boltzmann Equation for Binary Interactions
3071 -- 3098Manuel Jesús Castro Díaz, Christophe Chalons, Tomás Morales de Luna. A Fully Well-Balanced Lagrange-Projection-Type Scheme for the Shallow-Water Equations
3099 -- 3120Michael Neilan, Wujun Zhang. p-Norm for the Monge-Ampère Equation
3121 -- 3143Diane Guignard, Fabio Nobile. A Posteriori Error Estimation for the Stochastic Collocation Finite Element Method
3144 -- 3168Zhenning Cai, Yanli Wang. Suppression of Recurrence in the Hermite-Spectral Method for Transport Equations

Volume 56, Issue 4

1987 -- 2007Ralf Kornhuber, Evgenia Youett. Adaptive Multilevel Monte Carlo Methods for Stochastic Variational Inequalities
2008 -- 2028Carsten Carstensen, Johannes Storn. Asymptotic Exactness of the Least-Squares Finite Element Residual
2029 -- 2044Habib Ammari, Matias Ruiz, Sanghyeon Yu, Hai Zhang. Field expansions for Systems of Strongly Coupled Plasmonic Nanoparticles
2045 -- 2069Jianbo Cui, Jialin Hong. Analysis of a Splitting Scheme for Damped Stochastic Nonlinear Schrödinger Equation with Multiplicative Noise
2070 -- 2094Philip L. Lederer, Christoph Lehrenfeld, Joachim Schöberl. Hybrid Discontinuous Galerkin Methods with Relaxed H(div)-Conformity for Incompressible Flows. Part I
2095 -- 2123Yongchao Liu, Xiaoming Yuan, Shangzhi Zeng, Jin Zhang 0002. Partial Error Bound Conditions and the Linear Convergence Rate of the Alternating Direction Method of Multipliers
2124 -- 2147Kailiang Wu. Positivity-Preserving Analysis of Numerical Schemes for Ideal Magnetohydrodynamics
2148 -- 2177Elisabetta Carlini, Francisco J. Silva. On the Discretization of Some Nonlinear Fokker-Planck-Kolmogorov Equations and Applications
2178 -- 2202Dmitriy Leykekhman, Boris Vexler. Discrete Maximal Parabolic Regularity for Galerkin Finite Element Methods for Nonautonomous Parabolic Problems
2203 -- 2233Wietse M. Boon, Jan M. Nordbotten, Ivan Yotov. Robust Discretization of Flow in Fractured Porous Media
2234 -- 2261Sarah Eckstein, Michael Ruzicka. On the Full Space-Time Discretization of the Generalized Stokes Equations: The Dirichlet Case
2262 -- 2287Wei Gong, Weiwei Hu, Mariano Mateos, John R. Singler, Xiao Zhang, Yangwen Zhang. A New HDG Method for Dirichlet Boundary Control of Convection Diffusion PDEs II: Low Regularity
2288 -- 2321Théophile Chaumont Frelet, Serge Nicaise, David Pardo. Finite Element Approximation of Electromagnetic Fields Using Nonfitting Meshes for Geophysics
2322 -- 2344Zhongjian Wang, Jack Xin, Zhiwen Zhang. Computing Effective Diffusivity of Chaotic and Stochastic Flows Using Structure-Preserving Schemes
2345 -- 2374Dominik Meidner, Johannes Pfefferer, Klemens Schürholz, Boris Vexler. hp-Finite Elements for Fractional Diffusion
2375 -- 2405Yahya Alnashri, Jérôme Droniou. A Gradient Discretization Method to Analyze Numerical Schemes for Nonlinear Variational Inequalities, Application to the Seepage Problem
2406 -- 2429Sven Gross, Thomas Jankuhn, Maxim A. Olshanskii, Arnold Reusken. A Trace Finite Element Method for Vector-Laplacians on Surfaces
2430 -- 2460Yan Li, Zhengce Zhang, Bei Hu. Convergence Rate of an Explicit Finite Difference Scheme for a Credit Rating Migration Problem
2461 -- 2483Rénald Chalayer, Laurent Chupin, Thierry Dubois. A Bi-Projection Method for Incompressible Bingham Flows with Variable Density, Viscosity, and Yield Stress
2484 -- 2512Mustafa Aggul, Jeffrey M. Connors, Dilek Erkmen, Alexander E. Labovsky. A Defect-Deferred Correction Method for Fluid-Fluid Interaction
2513 -- 2536Sergio Blanes. Time-Average on the Numerical Integration of Nonautonomous Differential Equations
2537 -- 2562Dirk Blömker, Claudia Schillings, Philipp Wacker. A Strongly Convergent Numerical Scheme from Ensemble Kalman Inversion
2563 -- 2584Maxime Louis, Benjamin Charlier, Paul Jusselin, Susovan Pal, Stanley Durrleman. A Fanning Scheme for the Parallel Transport along Geodesics on Riemannian Manifolds
2585 -- 2622Claudine Leonhard, Andreas Rößler. Enhancing the Order of the Milstein Scheme for Stochastic Partial Differential Equations with Commutative Noise
2623 -- 2647Geir Bogfjellmo, Klas Modin, Olivier Verdier. 2-Splines on Symmetric Spaces
2648 -- 2671Carsten Carstensen, Asha K. Dond, Neela Nataraj, Amiya Kumar Pani. Three First-Order Finite Volume Element Methods for Stokes Equations under Minimal Regularity Assumptions
2672 -- 2697Yabing Sun, Weidong Zhao, Tao Zhou. Explicit theta-Schemes for Mean-Field Backward Stochastic Differential Equations
2698 -- 2699Qi Sun, Qiang Du, Ju Ming. Erratum: Asymptotically Compatible Schemes for Stochastic Homogenization

Volume 56, Issue 3

1187 -- 1209Begona Cano, María Jesús Moreta. Exponential Quadrature Rules Without Order Reduction for Integrating Linear Initial Boundary Value Problems
1210 -- 1242Lourenço Beirão da Veiga, Carlo Lovadina, Giuseppe Vacca. Virtual Elements for the Navier-Stokes Problem on Polygonal Meshes
1243 -- 1272Nicole Cusimano, Félix del Teso, Luca Gerardo-Giorda, Gianni Pagnini. Discretizations of the Spectral Fractional Laplacian on General Domains with Dirichlet, Neumann, and Robin Boundary Conditions
1273 -- 1290Christian Lubich, Bart Vandereycken, Hanna Walach. Time Integration of Rank-Constrained Tucker Tensors
1291 -- 1312Chengda Wu, Weiwei Sun. Analysis of Galerkin FEMs for Mixed Formulation of Time-Dependent Ginzburg-Landau Equations Under Temporal Gauge
1313 -- 1337Xiaoli Li, Hongxing Rui. Superconvergence of Characteristics Marker and Cell Scheme for the Navier-Stokes Equations on Nonuniform Grids
1338 -- 1359Haijun Wu, Jun Zou. Finite Element Method and its Analysis for a Nonlinear Helmholtz Equation with High Wave Numbers
1360 -- 1385Roel Matthysen, Daan Huybrechs. Function Approximation on Arbitrary Domains Using Fourier Extension Frames
1386 -- 1404Qiang Du, Xingjie Helen Li, Jianfeng Lu 0001, Xiaochuan Tian. A Quasi-nonlocal Coupling Method for Nonlocal and Local Diffusion Models
1405 -- 1434Theodoros Katsaounis, Irene Kyza. A Posteriori Error Analysis for Evolution Nonlinear Schrödinger Equations up to the Critical Exponent
1435 -- 1455Xiaoyue Li, Qianlin Ma, Hongfu Yang, Chenggui Yuan. The Numerical Invariant Measure of Stochastic Differential Equations With Markovian Switching
1456 -- 1481Dimitri Breda, Davide Liessi. Approximation of Eigenvalues of Evolution Operators for Linear Renewal Equations
1482 -- 1497Runchang Lin, Xiu Ye, Shangyou Zhang, Peng Zhu. A Weak Galerkin Finite Element Method for Singularly Perturbed Convection-Diffusion-Reaction Problems
1498 -- 1524Gabriele Ciaramella, Martin J. Gander. Analysis of the Parallel Schwarz Method for Growing Chains of Fixed-sized Subdomains: Part II
1525 -- 1546Erik Burman, Alexandre Ern. An Unfitted Hybrid High-Order Method for Elliptic Interface Problems
1547 -- 1569Arieh Iserles, Karolina Kropielnicka, Pranav Singh. Magnus-Lanczos Methods with Simplified Commutators for the Schrödinger Equation with a Time-Dependent Potential
1570 -- 1596Dietmar Gallistl, Patrick Henning, Barbara Verfürth. Numerical Homogenization of H(curl)-Problems
1597 -- 1620Xiaoliang Wan, Haijun Yu, Jiayu Zhai. Convergence Analysis of a Finite Element Approximation of Minimum Action Methods
1621 -- 1642Andreas Veeser, Pietro Zanotti. Quasi-Optimal Nonconforming Methods for Symmetric Elliptic Problems. I - Abstract Theory
1643 -- 1672Christoph Lehrenfeld, Maxim A. Olshanskii, Xianmin Xu. A Stabilized Trace Finite Element Method for Partial Differential Equations on Evolving Surfaces
1673 -- 1692Samir Karaa. Semidiscrete Finite Element Analysis of Time Fractional Parabolic Problems: A Unified Approach
1693 -- 1710Xuefeng Xu, Chen-song Zhang. On the Ideal Interpolation Operator in Algebraic Multigrid Methods
1711 -- 1730Fleurianne Bertrand. First-Order System Least-Squares for Interface Problems
1731 -- 1757Christina C. Christara, Nat Chun-Ho Leung. Analysis of Quantization Error in Financial Pricing via Finite Difference Methods
1758 -- 1785Susanne C. Brenner, Joscha Gedicke, Li-Yeng Sung. 0 Interior Penalty Methods for an Elliptic Distributed Optimal Control Problem on Nonconvex Polygonal Domains with Pointwise State Constraints
1786 -- 1817W.-J. Beyn, D. Otten, J. Rottmann-Matthes. Computation and Stability of Traveling Waves in Second Order Evolution Equations
1818 -- 1847Todd Arbogast, Chieh-Sen Huang, Xikai Zhao. Accuracy of WENO and Adaptive Order WENO Reconstructions for Solving Conservation Laws
1848 -- 1870Tomás Dohnal, Ben Schweizer. A Bloch Wave Numerical Scheme for Scattering Problems in Periodic Wave-Guides
1871 -- 1895Ivan G. Graham, Frances Y. Kuo, Dirk Nuyens, Robert Scheichl, Ian H. Sloan. Analysis of Circulant Embedding Methods for Sampling Stationary Random Fields
1896 -- 1914Sören Bartels, Lars Diening, Ricardo H. Nochetto. Unconditional Stability of Semi-Implicit Discretizations of Singular Flows
1915 -- 1941Wenbo Li, Ricardo H. Nochetto. Optimal Pointwise Error Estimates for Two-Scale Methods for the Monge-Ampère Equation
1942 -- 1960Qi Sun, Qiang Du, Ju Ming. Asymptotically Compatible Schemes for Stochastic Homogenization
1961 -- 1986Katharina Rafetseder, Walter Zulehner. A Decomposition Result for Kirchhoff Plate Bending Problems and a New Discretization Approach

Volume 56, Issue 2

635 -- 659Zhiming Chen, Rui Tuo, Wenlong Zhang. Stochastic Convergence of a Nonconforming Finite Element Method for the Thin Plate Spline Smoother for Observational Data
660 -- 683Andre Laestadius, Simen Kvaal. Analysis of the Extended Coupled-Cluster Method in Quantum Chemistry
684 -- 707Josef Dick, Christian Irrgeher, Gunther Leobacher, Friedrich Pillichshammer. On the Optimal Order of Integration in Hermite Spaces with Finite Smoothness
708 -- 731Daisuke Furihata, Mihály Kovács, Stig Larsson, Fredrik Lindgren. Strong Convergence of a Fully Discrete Finite Element Approximation of the Stochastic Cahn-Hilliard Equation
732 -- 765Waixiang Cao, Chi-Wang Shu, Yang Yang 0014, Zhimin Zhang. Superconvergence of Discontinuous Galerkin Method for Scalar Nonlinear Hyperbolic Equations
766 -- 791Buyang Li, Jiwei Zhang, Chunxiong Zheng. An Efficient Second-Order Finite Difference Method for the One-Dimensional Schrödinger Equation with Absorbing Boundary Conditions
792 -- 815Yu-Wen Li. Global Superconvergence of the Lowest-Order Mixed Finite Element on Mildly Structured Meshes
816 -- 837J. A. Fiordilino. A Second Order Ensemble Timestepping Algorithm for Natural Convection
838 -- 858Georgios E. Zouraris. Crank-Nicolson Finite Element Approximations for a Linear Stochastic Fourth Order Equation with Additive Space-Time White Noise
859 -- 876Yan Luo, Zhu Wang. An Ensemble Algorithm for Numerical Solutions to Deterministic and Random Parabolic PDEs
877 -- 905Oliver G. Ernst, Björn Sprungk, Lorenzo Tamellini. Convergence of Sparse Collocation for Functions of Countably Many Gaussian Random Variables (with Application to Elliptic PDEs)
906 -- 941Prashant K. Jha, Robert Lipton. Numerical Analysis of Nonlocal Fracture Models in Hölder Space
942 -- 973Jingwei Hu, Ruiwen Shu, Xiangxiong Zhang. Asymptotic-Preserving and Positivity-Preserving Implicit-Explicit Schemes for the Stiff BGK Equation
974 -- 993Michael Griebel, Guanglian Li. On the Decay Rate of the Singular Values of Bivariate Functions
994 -- 1021Marcus J. Grote, Michaela Mehlin, Stefan A. Sauter. Convergence Analysis of Energy Conserving Explicit Local Time-Stepping Methods for the Wave Equation
1022 -- 1047Nicolas Gillis, Punit Sharma. Finding the Nearest Positive-Real System
1048 -- 1063Viktor Linders, Tomas Lundquist, Jan Nordström. On the order of Accuracy of Finite Difference Operators on Diagonal Norm Based Summation-by-Parts Form
1064 -- 1090Yosra Hafiene, Jalal Fadili, Abderrahim Elmoataz. Nonlocal p-Laplacian Evolution Problems on Graphs
1091 -- 1111Carsten Carstensen, Friederike Hellwig. Optimal Convergence Rates for Adaptive Lowest-Order Discontinuous Petrov-Galerkin Schemes
1112 -- 1133Hong-lin Liao, Dongfang Li, Jiwei Zhang. Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
1134 -- 1167Ankit Gupta, Muruhan Rathinam, Mustafa Khammash. Estimation of Parameter Sensitivities for Stochastic Reaction Networks Using Tau-Leap Simulations
1168 -- 1182Chao Zeng, Chunlin Wu. On the Edge Recovery Property of Noncovex Nonsmooth Regularization in Image Restoration
1183 -- 1185Pauline Lafitte, Annelies Lejon, Giovanni Samaey. Erratum: A High-Order Asymptotic-Preserving Scheme for Kinetic Equations Using Projective Integration

Volume 56, Issue 1

1 -- 23Bangti Jin, Buyang Li, Zhi Zhou. Numerical Analysis of Nonlinear Subdiffusion Equations
24 -- 49Zhiping Mao, George E. Karniadakis. A Spectral Method (of Exponential Convergence) for Singular Solutions of the Diffusion Equation with General Two-Sided Fractional Derivative
50 -- 77Emmanuel Gobet, Gang Liu, Jorge P. Zubelli. A Nonintrusive Stratified Resampler for Regression Monte Carlo: Application to Solving Nonlinear Equations
78 -- 110Cecilia F. Mondaini, Edriss S. Titi. Uniform-in-Time Error Estimates for the Postprocessing Galerkin Method Applied to a Data Assimilation Algorithm
111 -- 135Robert N. Gantner, Lukas Herrmann, Christoph Schwab. Quasi-Monte Carlo Integration for Affine-Parametric, Elliptic PDEs: Local Supports and Product Weights
136 -- 159Wei Yang, Jichun Li, Yunqing Huang. Mathematical Analysis and Finite Element Time Domain Simulation of Arbitrary Star-Shaped Electromagnetic Cloaks
160 -- 184Johannes Schwab, Sergiy Pereverzyev Jr., Markus Haltmeier. A Galerkin Least Squares Approach for Photoacoustic Tomography
185 -- 209Naveed Ahmed, Alexander Linke, Christian Merdon. On Really Locking-Free Mixed Finite Element Methods for the Transient Incompressible Stokes Equations
210 -- 227Yubin Yan, Monzorul Khan, Neville J. Ford. An Analysis of the Modified L1 Scheme for Time-Fractional Partial Differential Equations with Nonsmooth Data
228 -- 255Jörg Grande, Christoph Lehrenfeld, Arnold Reusken. Analysis of a High-Order Trace Finite Element Method for PDEs on Level Set Surfaces
256 -- 273Magnus Svärd, Mark H. Carpenter, Matteo Parsani. Entropy Stability and the No-Slip Wall Boundary Condition
274 -- 295Davoud Mirzaei. A Petrov-Galerkin Kernel Approximation on the Sphere
296 -- 316Jun Hu, Guozhu Yu. A Unified Analysis of Quasi-Optimal Convergence for Adaptive Mixed Finite Element Methods
317 -- 343Ernesto Cáceres, Gabriel N. Gatica, Filánder A. Sequeira. A Mixed Virtual Element Method for Quasi-Newtonian Stokes Flows
344 -- 368Wei Wang, Xuejun Xu. A Two-Level Overlapping Hybrid Domain Decomposition Method for Eigenvalue Problems
369 -- 396Chupeng Ma, Liqun Cao. A Crank-Nicolson Finite Element Method and the Optimal Error Estimates for the Modified Time-Dependent Maxwell-Schrödinger Equations
397 -- 427Max Gunzburger, Xiaoming He, Buyang Li. On Stokes-Ritz Projection and Multistep Backward Differentiation Schemes in Decoupling the Stokes-Darcy Model
428 -- 447Philipp Bringmann, Carsten Carstensen, Gerhard Starke. An Adaptive Least-Squares FEM for Linear Elasticity with Optimal Convergence Rates
448 -- 468Mohammad Motamed, Daniel Appelö. A MultiOrder Discontinuous Galerkin Monte Carlo Method for Hyperbolic Problems with Stochastic Parameters
469 -- 498Augustin Chevallier, Stefan Engblom. Pathwise Error Bounds in Multiscale Variable Splitting Methods for Spatial Stochastic Kinetics
499 -- 519Karsten Kahl, Nils Kintscher. Geometric Multigrid for the Tight-Binding Hamiltonian of Graphene
520 -- 541Yong Liu, Chi-Wang Shu, Mengping Zhang. Optimal Error Estimates of the Semidiscrete Central Discontinuous Galerkin Methods for Linear Hyperbolic Equations
542 -- 569Konstantina Trivisa, Franziska Weber. Analysis and Simulations on a Model for the Evolution of Tumors Under the Influence of Nutrient and Drug Application
570 -- 589Richard Norton, Colin Fox, Malcolm Morrison. Numerical Approximation of the Frobenius-Perron Operator using the Finite Volume Method
590 -- 613Oyekola Oyekole, Catalin Trenchea, Martina Bukac. A Second-Order in Time Approximation of Fluid-Structure Interaction Problem
614 -- 633Ka-Chun Cheung, Leevan Ling, Robert Schaback. 2-Convergence of Least-Squares Kernel Collocation Methods