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Department of Mathematics

Preprint Series

This is a series in pure, applied, and computational mathematics by members of the Interdisciplinary Mathematics Institute.

Title Author(s) Year:Index Keywords
(hidden column)
Gaussian Bounds for the Heat Kernels on the Ball and Simplex: Classical Approach [PDF] G. Kerkyacharian, P. Petrushev, and Y. Xu 2018:02  
Gaussian Bounds for the Weighted Heat Kernels on the Interval, Ball and Simplex [PDF] G. Kerkyacharian, P. Petrushev, and Y. Xu 2018:01  
Highly Localized Kernels on the Sphere Induced by Newtonian kernels [PDF] K. Ivanov and P. Petrushev 2017:02  
Precise and Efficient Evaluation of Gravimetric Quantities at Arbitrarily Scattered Points in Space [PDF] K. Ivanov, N. Pavlis, and P. Petrushev 2017:01  
Harmonic Besov and Triebel-Lizorkin Spaces on the Ball [PDF] K. Ivanov and P. Petrushev 2016:02  
Development and Experimental Validation of a Model for Oral Multispecies Biofilm Recovery after Chlorhexidine Treatment [PDF] Y. Shen, J. Zhao, C. Fuente-Núñez, Z. Wang, R. Hancock, C. Roberts, J. Ma, Q. Wang, and M. Haapasalo 2016:01  
Tree Approximation for hp-Adaptivity [PDF] P. Binev 2015:07  
Regularity of Gaussian Processes on Dirichlet Spaces [PDF] G. Kerkyacharian, S. Ogawa, P. Petrushev, and D. Picard 2015:06  
Progress on Poset-free Families of Subsets [PDF] J. Griggs and W. Li 2015:05  
Poset-free Families and Lubell-boundedness [PDF] J. Griggs and W. Li 2015:04  
Nonlinear and Nonnested 2-D Spline Approximation [PDF] M. Lind and P. Petrushev 2015:03  
Discrete Iterative Partial Segmentation Technique (DIPS) for Tomographic Reconstruction [PDF] T. Sanders 2015:02  
Highly Effective Stable Evaluation of Bandlimited Functions on the Sphere [PDF] K. Ivanov and P. Petrushev 2015:01  
A 3D Hydrodynamic Model for Cytokinesis of Eukaryotic Cells [PDF] J. Zhao and Q. Wang 2014:08  
A 3D Hydrodynamic Model for Heterogeneous Biofilms with Antimicrobial Persistence [PDF] J. Zhao and Q. Wang 2014:07  
3-D Numerical Simulations of Biofilm Dynamics with Quorum Sensing in a Flow Cell [PDF] J. Zhao and Q. Wang 2014:06  
Incremental Greedy Algorithm and its Applications in Numerical Integration [PDF] V. Temlyakov 2014:05  
A New Proof of the Atomic Decomposition of Hardy Spaces [PDF] S. Dekel, G. Kerkyacharian, G. Kyriazis, and P. Petrushev 2014:04  
Hardy Spaces Associated with Non-Negative Self-Adjoint Operators [PDF] S. Dekel, G. Kerkyacharian, G. Kyriazis, and P. Petrushev 2014:03  
Nonlinear Tensor Product Approximation of Functions [PDF] D. Bazarkhanov and V. Temlyakov 2014:02  
Convex optimization on Banach Spaces [PDF] R. DeVore and V. Temlyakov 2014:01  
Sparse approximation and recovery by greedy algorithms in Banach spaces [PDF] V. Temlyakov 2013:09  
Chebyshev Greedy Algorithm in convex optimization [PDF] V. Temlyakov 2013:08  
Irregular Sampling of Band- Limited Functions on the Sphere and in More General Settings [PDF] K. Ivanov and P. Petrushev 2013:07  
Supersaturation in the Boolean Lattice [PDF] A. Dove, J. Griggs, R. Kang, and J. Sereni 2013:06  
Fast Memory Efficient Evaluation of Spherical Polynomials at Scattered Points [PDF] K. Ivanov and P. Petrushev 2013:05  
Compactly Supported Frames for Spaces of Distributions in the Framework of Dirichlet Spaces [PDF] S. Dekel, G. Kerkyacharian, G. Kyriazis, and P. Petrushev 2013:04  
Sparse approximation and recovery by greedy algorithms [PDF] E. Livshitz and V. Temlyakov 2013:03  
An inequality for the entropy numbers and its application [PDF] V. Temlyakov 2013:02  
A Remark on Covering [PDF] V. Temlyakov 2013:01  
Hilbert spaces of vector-valued functions generated by quadratic forms [PDF] K. Kazarian and V. Temlyakov 2012:09  
Heat Kernel Based Decomposition of Spaces of Distributions in the Framework of Dirichlet Spaces [PDF] G. Kerkyacharian and P. Petrushev 2012:08  
Classification Algorithms Using Adaptive Partitioning [PDF] P. Binev, A. Cohen, W. Dahmen, and R. DeVore 2012:07  
Heat Kernel Generated Frames in the Setting of Dirichlet Spaces [PDF] T. Coulhon, G. Kerkyacharian, and P. Petrushev 2012:06  
Greedy Expansions in Convex Optimization [PDF] V. Temlyakov 2012:05  
Greedy Expansions in Hilbert Spaces [PDF] J. Nelson and V. Temlyakov 2012:04  
Greedy Approximation in Convex Optimization [PDF] V. Temlyakov 2012:03  
Quasi-greedy bases and Lebesgue-type inequalities [PDF] S. Dilworth, M. Soto-Bajo, and V. Temlyakov 2012:02  
Lebesgue-type inequalities for greedy approximation in Banach spaces [PDF] D. Savu and V. Temlyakov 2012:01  
Diamond-free Families [PDF] J. Griggs, W. Li, and L. Lu 2011:06  
Mass-Conserved Phase Field Models for Binary Fluids [PDF] J. Shen, X. Yang, and Q. Wang 2011:05  
Kinetic Theories for Biofilms [PDF] Q. Wang and T. Zhang 2011:04  
Modeling Fusion of Cellular Aggregates in Biofabrication Using Phase Field Theories [PDF] X. Yang, V. Mironov, and Q. Wang 2011:03  
Lebesgue-type inequalities for greedy approximation with respect to quasi-greedy bases [PDF] V. Temlyakov, M. Yang, and P. Ye 2011:02  
Rational Bases for Spaces of Holomorphic Functions in the Disc [PDF] G. Kyriazis and P. Petrushev 2011:01  
High Quality Image Formation by Nonlocal Means Applied to High-Angle Annular Darkfield Scanning Transmission Electron Microscopy (HAADF-STEM) [PDF] P. Binev, F. Blanco-Silva, D. Blom, W. Dahmen, P. Lamby, R. Sharpley, and T. Vogt 2010:10  
Compressed Sensing and Electron Microscopy [PDF] P. Binev, W. Dahmen, R. DeVore, P. Lamby, D. Savu, and R. Sharpley 2010:09  
Tree Approximation of the Long Wave Radiation Parameterization in the NCAR CAM Global Climate Model [PDF] A. Belochitski, P. Binev, R. DeVore, M. Fox-Rabinovitz, V. Krasnopolsky, and P. Lamby 2010:08  
Super Greedy Type Algorithms [PDF] E. Liu and V. Temlyakov 2010:07  
Fibonacci sets are good for discrepancy and numerical integration [PDF] D. Bilyk, V. Temlyakov, and R. Yu 2010:06  
Convergence rates for greedy algorithms in reduced basis methods [PDF] P. Binev, A. Cohen, W. Dahmen, R. DeVore, G. Petrova, and P. Wojtaszczyk 2010:05  
"Compactly" supported frames for spaces of distributions on the ball [PDF] G. Kyriazis and P. Petrushev 2010:04  
Fast highdimensional approximation with sparse occupancy trees [PDF] P. Binev, W. Dahmen, and P. Lamby 2010:03  
On performance of greedy algorithms [PDF] V. Temlyakov and P. Zheltov 2010:02  
Orthogonal super greedy algorithm and application in compressed sensing [PDF] E. Liu and V. Temlyakov 2010:01  
Greedy approximation with regard to non-greedy bases [PDF] V. Temlyakov, M. Yang, and P. Ye 2009:07  
Super-resolution image reconstruction by nonlocal means applied to high-angle annular darkfield scanning transmission electron microscopy [PDF] P. Binev, F. Blanco-Silva, D. Blom, W. Dahmen, R. Sharpley, and T. Vogt 2009:06  
Finite element approximation of the Cahn-Hilliard equation on surfaces [PDF] Q. Du, L. Ju, and L. Tian 2009:05  
Fast memory efficient evaluation of spherical polynomials at scattered points [PDF] K. Ivanov and P. Petrushev 2009:04  
Anisotropic function spaces with applications [PDF] S. Dekel and P. Petrushev 2009:03  
Decomposition of spaces of distributions induced by tensor product bases [PDF] K. Ivanov, P. Petrushev, and Y. Xu 2009:02  
Anisotropic meshless frames on Rn [PDF] S. Dekel, Y. Han, and P. Petrushev 2009:01  
On the construction of bases and frames for spaces of distributions [PDF] G. Kyriazis and P. Petrushev 2008:07  
A generalized curvelet transform. Approximation properties [PDF] F. Blanco-Silva 2008:06  
Sub-exponentially localized kernels and frames induced by orthogonal expansions [PDF] K. Ivanov, P. Petrushev, and Y. Xu 2008:05  
Inversion of noisy Radon transform by SVD based needlets [PDF] L. Erwan, G. Kerkyacharian, G. Kyriazis, P. Petrushev, and D. Picard 2008:04  
A posteriori error estimates for finite volume approximation of elliptic equations on general surfaces [PDF] L. Ju, L. Tian, and D. Wang 2008:03  
Decomposition of Triebel-Lizorkin and Besov spaces in the context of Laguerre expansions [PDF] G. Kerkyacharian, P. Petrushev, D. Picard, and Y. Xu 2008:02  
Analysis of a mixed finite volume discretization of fourth order equations on general surfaces [PDF] Q. Du, L. Ju, and L. Tian 2008:01  
The necklace poset is a symmetric chain order [PDF] K. Jordan 2007:09  
Weak global convergence of the Lloyd method for computing centroidal Voronoi tessellations in Rd [PDF] M. Emelianenko, L. Ju, and A. Rand 2007:07  
Decomposition of spaces of distributions induced by Hermite expansions [PDF] P. Petrushev and Y. Xu 2007:06  
Decomposition of weighted Triebel-Lizorkin and Besov spaces on the ball [PDF] G. Kyriazis, P. Petrushev, and Y. Xu 2007:05  
No four subsets forming an N [PDF] J. Griggs and G. Katona 2007:04  
Numerical simulations of the steady Navier-Stokes equations using adaptive meshing schemes [PDF] L. Ju and L. Tian 2007:03  
Spectral multipliers for Schrodinger equations: I [PDF] S. Zheng 2007:02  
Two-level-split decomposition of anisotropic Besov spaces [PDF] Dahmen, S. Dekel, and P. Petrushev 2007:01 W.  
Decomposition of Besov and Triebel-Lizorkin spaces on the sphere [PDF] F. Narcowich, P. Petrushev, and J. Ward 2006:16  
Some central limit theorems pertinent to estimating the effectiveness of information retrieval [PDF] É. Czabarka and J. Spouge 2006:15  
On a problem of Erdős and Lovász on coloring non-uniform hypergraphs [PDF] L. Lu 2006:14  
Using Lovász local lemma in the space of random injections [PDF] L. Lu and L. Székely 2006:13  
Inverting random functions III: discrete MLE revisited [PDF] M. Steel and L. Székely 2006:12  
Jacobi decomposition of weighted Triebel-Lizorkin and Besov spaces [PDF] G. Kyriazis, P. Petrushev, and Y. Xu 2006:11  
Littlewood-Paley theorem for Schrödinger operators [PDF] S. Zheng 2006:10  
NEED-VD: a second-generation wavelet algorithm for estimation in inverse problems [PDF] G. Kerkyacharian, P. Petrushev, D. Picard, and T. Willer 2006:09  
Localized polynomial frames on the ball [PDF] P. Petrushev and Y. Xu 2006:08  
Greedy algorithms with prescibed coefficients [PDF] V. Temlyakov 2006:07  
Multilevel preconditioning for partition of unity methods - some analytic concepts [PDF] W. Dahmen, S. Dekel, and P. Petrushev 2006:06  
2006:05 G. Olafsson and S. ZhengFunction spaces associated with Schrödinger operators: the Pöschl-Teller potential [PDF] G. Olafsson and S. Zheng 2006:05  
Biplanar crossing numbers II: comparing crossing numbers and biplanar crossing numbers using the probabilistic method [PDF] É. Czabarka, O. Sykora, L. Székely, and I. Vrto 2006:04  
Relaxation in greedy approximation [PDF] V. Temlyakov 2006:03  
Conforming centroidal Voronoi Delaunay triangulation for quality mesh generation [PDF] L. Ju 2006:02  
On the Lebesgue type inequalities for greedy approximation [PDF] D. Donoho, M. Elad, and V. Temlyakov 2006:01  
Concentration inequalities and martingale inequalities - a survey [PDF] F. Chung and L. Lu 2005:18  
On universal estimators in learning theory [PDF] V. Temlyakov 2005:17  
Adaptive finite element methods for elliptic PDEs based on conforming centroidal Voronoi Delaunay triangulations [PDF] M. Gunzburger, L. Ju, and W. Zhao 2005:16  
Some inequalities for the tensor product of greedy bases and weight-greedy bases [PDF] G. Kerkyacharian, D. Picard, and V. Temlyakov 2005:15  
Real number labelings for paths and cycles [PDF] J. Griggs and T. Jin 2005:14  
Real number channel assignments for lattices [PDF] J. Griggs and T. Jin 2005:13  
Decomposition of Besov and Triebel-Lizorkin spaces on the sphere [PDF] F. Narcowich, P. Petrushev, and L. Ward 2005:12  
One-sided stability and convergence of the Nessyahu-Tadmor scheme [PDF] B. Popov and O. Trifonov 2005:11  
Localized polynomial frames on the interval with Jacobi weights [PDF] P. Petrushev and Y. Xu 2005:10  
On the variational distance of two trees [PDF] M. Steel and L. Székely 2005:09  
Teasing apart two trees [PDF] M. Steel and L. Székely 2005:08  
The volume of the giant component of a random graph with given expected degrees [PDF] F. Chung and L. Lu 2005:07  
Finite volume methods on general surfaces [PDF] Q. Du and L. Ju 2005:06  
Approximation in learning theory [PDF] V. Temlyakov 2005:05  
Localized tight frames on spheres [PDF] F. Narcowich, P. Petrushev, and J. Ward 2005:04  
The Schrödinger's density and the Talbot's effect [PDF] K. Oskolkov 2005:03  
Anisotropic spaces and nonlinear n-term spline approximation [PDF] P. Petrushev 2005:02  
All but 49 numbers are Wiener indices of trees [PDF] H. Wang and G. Yu 2005:01  
On greedy algorithms with restricted depth search [PDF] V. Temlyakov 2004:27  
Graph distance-dependent labeling related to code assignment in computer networks [PDF] T. Jin and R. Yeh 2004:26  
Optimal channel assignments for lattices with conditions at distance two [PDF] J. Griggs and T. Jin 2004:25  
Real number graph labelings with distance conditions [PDF] J. Griggs and T. Jin 2004:24  
Optimal estimators in learning theory [PDF] V. Temlyakov 2004:23  
Mathematical methods for supervised learning [PDF] R. DeVore, G. Kerkyacharian, D. Picard, and V. Temlyakov 2004:22  
Convergence of multigrid algorithms for interior penalty methods [PDF] S. Brenner and J. Zhao 2004:21  
Universal algorithms for learning theory Part I: piecewise constant functions [PDF] P. Binev, A. Cohen, W. Dahmen, R. DeVore, and V. Temlyakov 2004:20  
Adaptive approximation of curves [PDF] P. Binev, W. Dahmen, R. DeVore, and N. Dyn 2004:19  
Bivariate n-term rational approximation [PDF] K. Park 2004:18  
On the construction of frames on Triebel-Lizorkin and Besov spaces [PDF] G. Kyriazis and P. Petrushev 2004:17  
Anisotropic Franklin bases on polygonal domains [PDF] G. Kyriazis, K. Park, and P. Petrushev 2004:16  
Two-level additive Schwarz preconditioners for C0 interior penalty methods [PDF] S. Brenner and K. Wang 2004:15  
Convergence of greedy algorithms for the trigonometric system [PDF] S. Konyagin and V. Temlyakov 2004:14  
A singularly perturbed convection-diffusion problem in a half-plane [PDF] R. Kellogg and M. Stynes 2004:13  
Analysis of the intrinsic mode functions [PDF] R. Sharpley and V. Vatchev 2004:12  
Multigrid algorithms for C0 interior penalty methods [PDF] S. Brenner and L. Sung 2004:11  
On mathematical methods of learning [PDF] R. DeVore, G. Kerkyacharian, D. Picard, and V. Temlyakov 2004:10  
The entropy in the learning theory. Error estimates [PDF] S. Konyagin and V. Temlyakov 2004:09  
The nonlinear Schrödinger equation on the half-line [PDF] A. Fokas, A. Its, and L. Sung 2004:08  
"Push-the-Error" algorithm for nonlinear n-term approximation [PDF] W. Dahmen and P. Petrushev 2004:07  
Stable recovery of sparse overcomplete representations in the presence of noise [PDF] D. Donoho, M. Elad, and V. Temlyakov 2004:06  
Some error estimates in learning theory [PDF] S. Konyagin and V. Temlyakov 2004:05  
On subtrees of trees [PDF] L. Székely and H. Wang 2004:04  
Outerplanar crossing numbers, circular arrangement problem, and isoparametric functions [PDF] É. Czabarka, O. Sykora, L. Székely, and I. Vrto 2004:03   
Non-trivial t-intersection in the function lattice [PDF] P. Erdős, A. Seress, and L. Székely 2004:02  
Counting rooted spanning forests in complete multipartite graphs [PDF] L. Székely 2004:01  
Simultaneous greedy approximation in Banach spaces [PDF] D. Leviatan and V. Temlyakov 2003:26  
High order geometric smoothness for conservation laws [PDF] M. Campos-Pinto, A. Cohen, and P. Petrushev 2003:25  
Binary trees with the largest number of subtrees [PDF] L. Székely and H. Wang 2003:24  
Poincaré-Friedrichs inequalities for piecewise H 2 functions (file not available)
(Numerical Functional Analysis and Optimization 25 (2004), 463-478)
S. Brenner, K. Wang, and J. Zhao 2003:23  
Venn diagrams and symmetric chain decompositions in the Boolean lattice [PDF] J. Griggs, C. Killian, and C. Savage 2003:22  
Order of convergence of minmod-type schemes [PDF] B. Popov and O. Trifonov 2003:21  
The gridge algorithm in Gaussian weighted L2 R. Kozrev 2003:20  
Convergence of V-cycle and F-cycle multigrid methods for the biharmonic problem using the Hsieh-Clough-Tocher element [PDF] J. Zhao 2003:19   
Greedy wavelet projections are bounded on BV [PDF] P. Bechler, R. DeVore, A. Kamont, G. Petrova, and P. Wojtaszczyk 2003:18  
The volume estimates and their applications [PDF] B. Kashin and V. Temlyakov 2003:17  
The series ΣΣ(e2πimnx/mn), and a problem of Chowla [PDF] K. Oskolkov 2003:16  
Short proof for a theorem of Pach, Spencer and Tóth [PDF] L. Székely 2003:15   
The gap between crossing numbers and convex crossing numbers [PDF] F. Shahrokhi, O. Sykora, L. Székely, and I. Vrto 2003:14  
Corner singularities and boundary layers in a simple convection-diffusion problem [PDF] R. Kellogg and M. Stynes 2003:13  
Discrete Sobolev and Poincaré inequalities for piecewise polynomial functions (file not available)
(Electronic Transactions on Numerical Analysis 18 (2004), 42-48)
S. Brenner 2003:12  
The valleys of shadow in Schrödinger landscape [PDF] K. Oskolkov 2003:11  
C0 interior penalty methods for fourth order elliptic boundary value problems on polygonal domains (file not available)
(Journal of Scientific Computing 22/23 (2005), 83-118)
S. Brenner and L. Sung 2003:10   
Galerkin finite element method for a class of porous medium equations [PDF] K. Fadimba and R. Sharpley 2003:09  
Adaptive finite element methods with convergence rates [PDF] P. Binev, W. Dahmen, and R. DeVore 2003:08  
On the exceptional set of some trigonometric series [PDF] K. Oskolkov 2003:07  
Greedy expansions in Banach spaces [PDF] V. Temlyakov 2003:06  
Farey tree and the convergence of a double trigonometric series [PDF] K. Oskolkov 2003:05  
Convergence of nonconforming V-cycle and F-cycle multigrid methods for the biharmonic problem using the Morley element [PDF] J. Zhao 2003:04   
Analysis of two-dimensional FETI-DP preconditioners by the standard additive Schwarz framework (file not available)
(Electronic Transactions on Numerical Analysis 16 (2003), 165-185)
S. Brenner 2003:03  
Simultaneous approximation by greedy algorithms [PDF] D. Leviatan and V. Temlyakov 2003:02   
On S. A. Telyakovskii's result, and multiple oscillatory Hilbert transforms with the polynomial phases [PDF] K. Oskolkov 2003:01   
On convergence of minmod-type schemes [PDF] S. Konyagin, B. Popov, and O. Trifonov 2002:22  
Nonlinear n-term approximation from hierarchical spline bases [PDF] P. Petrushev 2002:21  
Greedy approximation and the multivariate Haar system [PDF] A. Kamont and V. Temlyakov 2002:20  
Approximation classes for adaptive methods [PDF] P. Binev, W. Dahmen, R. DeVore, and P. Petrushev 2002:19  
Greedy type algorithms in Banach spaces and applications [PDF] V. Temlyakov 2002:18  
On representations of algebraic polynomials by superpositions of plane waves [PDF] K. Oskolkov 2002:17  
Greedy approximation with regard to bases and general minimal systems [PDF] S. Konyagin and V. Temlyakov 2002:16   
Multigrid methods for the computation of singular solutions and stress intensity factors III: Interface singularities (file not available)
(Computer Methods in Applied Mechanics and Engineering 192 (2003), 4687-4702)
S. Brenner and L. Sung 2002:15  
Biplanar crossing numbers I: A survey of results and problems [PDF] É. Czabarka, O. Sykora, L. Székely, and I. Vrto 2002:14  
Algorithms for nonlinear piecewise polynomial approximation: Theoretical aspects [PDF] B. Karaivanov, P. Petrushev, and R. Sharpley 2002:13  
Nonlinear approximation from differentiable piecewise polynomials [PDF] O. Davydov and P. Petrushev 2002:12  
Fast computation in adaptive tree approximation [PDF] P. Binev and R. DeVore 2002:11   
Vector Greedy Algorithms [PDF] A. Lutoborski and V. Temlyakov 2002:10   
Convergence of greedy approximation II: The triangular system [PDF] S. Konyagin and V. Temlyakov 2002:09  
Convergence of greedy approximation I: General systems [PDF] S. Konyagin and V. Temlyakov 2002:08  
A successful concept for measuring non-planarity of graphs: The crossing number [PDF] L. Székely 2002:07   
Cubature formulas and related questions [PDF] V. Temlyakov 2002:06   
Korn's inequalities for piecewise H1 vector fields (file not available)
(Mathematics of Computation 73 (2004), 1067-1087)
S. Brenner 2002:05   
Polyspherical coordinate systems on orbit spaces with applications to biomolecular conformation [PDF] D. Dix 2002:04   
Nonlinear approximation with dictionaries I: Direct estimates [PDF] R. Gribonval and M. Nielsen 2002:03  
On approximation with spline generated framelets [PDF] R. Gribonval and M. Nielsen 2002:02   
Poincaré-Friedrichs inequalities for piecewise H1 functions (file not available)
(SIAM Journal on Numerical Analysis 41 (2003), 306-324)
S. Brenner 2002:01  
Best basis selection for approximation in Lp [PDF] R. DeVore, G. Petrova, and V. Temlyakov 2001:26  
Exponential precision in A/D conversion with an imperfect quantizer [PDF] I. Daubechies, R. DeVore, C. Güntürk, and V. Vaishampayan 2001:25   
Reconstructing a bandlimited function from very coarsely quantized data: A family of stable sigma-delta modulators of arbitrary order [PDF] I. Daubechies and R. DeVore 2001:24  
The thresholding greedy algorithm, greedy bases and duality [PDF] S. Dilworth, N. Kalton, D. Kutzarova, and V. Temlyakov 2001:23   
Intersecting families with minimum volume [PDF] J. Griggs 2001:22  
Smoothers, mesh dependent norms, interpolation and multigrid (file not available)
(Appl. Numer. Math. 43 (2002), 45-56.)
S. Brenner 2001:21  
An optimal-order error estimate for MMOC and MMOCAA schemes for multidimensional advection-reaction equations [PDF] H. Wang 2001:20   
Development of CFL-free, explicit schemes for multidimensional advection-reaction equations [PDF] J. Liu and H. Wang 2001:19   
Wiener index versus maximum degree in trees [PDF] M. Fischermann, A. Hoffmann, D. Rautenbach, L. Székely, and L. Volkmann 2001:18  
Almost isometries of balls [PDF] E. Matouskova 2001:17  
Permutations with low discrepancy consecutive k-sums [PDF] R. Anstee, R. Ferguson, and J. Griggs 2001:16  
Convergence of nonconforming V-cycle and F-cycle multigrid algorithms for second order elliptic boundary value problems (file not available)
(Mathematics of Computation 73 (2004), 1041-1066, electronically posted August 19, 2003, PII: S0025-5718(03)01578-3)
S. Brenner 2001:15  
Convergence of some greedy algorithms in Banach spaces [PDF] S. Dilworth, D. Kutzarova, and V. Temlyakov 2001:14   
Nonlinear piecewise polynomial approximation beyond Besov spaces [PDF] B. Karaivanov and P. Petrushev 2001:13  
Multivariate n-term rational and piecewise polynomail approximation [PDF] P. Petrushev 2001:12  
An Eulerian-Lagrangian substructuring domain decomposition method for unsteady-state advection-diffusion equations [PDF] M. Al-Lawatia and H. Wang 2001:11  
Inverting random functions II: explicit bounds for parametric and non-parametric MLE, with applications [PDF] M. Steel and L. Székely 2001:10   
Nonlinear methods of approximation [PDF] V. Temlyakov 2001:09  
Lattice points close to a smooth curve and squarefull numbers in short intervals [PDF] O. Trifonov 2001:08  
Two lower estimates in greedy approximation [PDF] V. Temlyakov 2001:07  
Irreducible testing of lacunary 0,1-polynomials [PDF] M. Filaseta and D. Meade 2001:06  
Polynomial expansions of continuous functions on the sphere and on the disk [PDF] M. Skopina 2001:05  
A general theory of almost convex functions [PDF] S. Dilworth, R. Howard, and J. Roberts 2001:04  
A new look at FETI (file not available)
(Proceedings of the Thirteenth International Conference on Domain Decomposition Methods, N. Debit, M. Garbey, R. Hoppe, J. Périaux, D. Keyes and Y. Kuznetsov, ed., DDM.org, 2001, pp. 41-51)
S. Brenner 2001:03  
Mean size of wavelet packets [PDF] M. Nielsen and D. Zhou 2001:02   
Lower bounds for three-dimensional nonoverlapping domain decomposition algorithms (file not available)
(Numerische Mathematik 93 (2003), 445-470)
S. Brenner and Q. He 2001:01  
Kolmogorov and linear widths of weighted Sobolev-type classes on a finite interval II [PDF] V. Konovalov and D. Leviatan 2000:30   
Wavelet decompositions of non-refinable shift invariant spaces (file not available) S. Dekel and D. Leviatan 2000:29  
On a decomposition of polynomials in several variables [PDF] A. Schinzel 2000:28   
On fine differentiability properties of horizons and applications to Riemannian geometry [PDF] P. Chrusciel, J. Fu, J. Galloway, and R. Howard 2000:27  
Extremal approximately convex functions and the best constants in a theorem of Hyers and Ulam [PDF] S. Dilworth, R. Howard, and J. Roberts 2000:26  
Circles minimize most knot energies [PDF] A. Abrams, J. Cantarella, J. Fu, M. Ghomi, and R. Howard 2000:25   
Ridge expansions of continuous functions on the disk [PDF] M. Skopina 2000:24  
A note on nonlinear approximation with Schauder bases [PDF] R. Gribonval and M. Nielsen 2000:23  
Some nonstandard finite element estimates with applications to 3D Poisson and Signorini problems (file not available)
(Electronic Transactions on Numerical Analysis 12 (2001), 134-148)
F. Belgacem and S. Brenner 2000:22   
A criterion for convergence of weak greedy algorithms [PDF] V. Temlyakov 2000:21  
Active testing in a mixture of two Gaussian classes [PDF] R. Gribonval 2000:20  
A successful concept for measuring non-planarity of graphs: the crossing number [PDF] L. Székely 2000:19  
Erdős on unit distances and the Szemerédi-Trotter theorems [PDF] L. Székely 2000:18   
Approximation of distributions by convolutions in the Hausdorff metric [PDF] A. Petukhov 2000:17   
Approximate weak greedy algorithms [PDF] R. Gribonval and M. Nielsen 2000:16   
Symmetric framelets [PDF] A. Petukhov 2000:15  
Inequalities of Duffin-Schaeffer type [PDF] G. Nikolov 2000:14  
On convergence of weak greedy algorithms [PDF] E. Livshitz and V. Temlyakov 2000:13  
A counter-example to the convergence of greedy algorithms under very weak conditions [PDF] R. Gribonval 2000:12  
Nonseparable Walsh type functions on Rd [PDF] M. Nielsen 2000:11  
Greedy algorithms in Banach spaces [PDF]  V. Temlyakov 2000:10  
Gridge approximation and Radon compass [PDF] V. Maiorov, K. Oskolkov, and V. Temlyakov 2000:09  
Constructing complete projectively flat connections [PDF] R. Howard 2000:08  
Solutions near singular points to the eikonal and related first order non-linear partial differential equations in two independent variables [PDF] E. Cornea, R. Howard, and P. Martinsson 2000:07  
An additive Schwarz preconditioner for the FETI method (file not available)
(Numerische Mathematik 94 (2003), 1-31)
S. Brenner  2000:06  
Discrete Sobolev and Poincaré inequalities via Fourier series (file not available)
(East-West Journal of Numerical Mathematics 8 (2000), 83-92)
S. Brenner and L. Sung 2000:05  
Indefinitely oscillating function [PDF] T. Elbouayachi 2000:04  
Explicit construction of framelets [PDF] A. Petukhov 2000:03  
Fast ridge pursuit with a multiscale dictionary of Gaussian chirps [PDF] R. Gribonval 2000:02  
Regularity of horizons and the area theorem [PDF]  P. Chrusciel, E. Delay, J. Galloway, and R. Howard 2000:01  
Remarks on Poincaré and Van Vleck Theorems [PDF] V. Buslaev 1999:14  
Towards a Katona type proof for the 2-intersecting Erdős-Ko-Rado theorem [PDF] R. Howard, G. Károlyi, and L. Székely 1999:13  
On the size of approximately convex sets in normed spaces [PDF] S. Dilworth, R. Howard, and J. Roberts 1999:12  
Initial-boundary value problems for linear dispersive evolution equations on the half-line [PDF] A. Fokas and L. Sung 1999:11  
The Averaging Lemma [PDF] R. DeVore and G. Petrova 1999:10  
Tree Approximation and Optimal Encoding [PDF] A. Cohen, W. Dahmen, I. Daubechies, and R. DeVore 1999:09  
Universal bases and greedy algorithms [PDF] V. Temlyakov 1999:08  
Convergence of the multigrid V-cycle algorithm for second order boundary value problems without full elliptic regularity (file not available)
(Math. Comp. 71 (2002), 507-525)
S. Brenner 1999:07  
New bases for Triebel-Lizorkin and Besov spaces [PDF] G. Kyriazis and P. Petrushev 1999:06  
Algorithms for optimizing production DNA sequencing (file not available) É. Czabarka, G. Konjevod, M. Marathe, A. Percus, and D. Torney 1999:05  
Maximal spaces with given rate of convergence for thresholding algorithms [PDF] A. Cohen, R. DeVore, G. Kerkyacharian, and D. Picard 1999:04  
Weak greedy algorithms [PDF] V. Temlyakov 1999:03  
Inverting random functions [PDF] M. Steel and L. Székely 1999:02  
On Lebesgue functions of uniformly bounded orthonormal systems [PDF] R. Getsadze 1999:01  
Bases consisting of rational functions of uniformly bounded degrees or more general functions [PDF] P. Petrushev 1998:25  
On Riemann-Lebesgue theorem for the systems of Chebyshev ridge polynomials [PDF] R. Getsadze 1998:24  
Greedy algorithms with regard to multivariate systems with special structure [PDF] V. Temlyakov 1998:23  
On two problems in the multivariate approximation [PDF] V. Temlyakov 1998:22  
The short quartet method [PDF] P. Erdős, K. Rice, L. Székely, and T. Warnow 1998:21  
A new lower bound for the bipartite crossing number with applications [PDF] F. Shahrokhi, O. Sykora, L. Székely, and I. Vrto 1998:20  
On bipartite drawings and the linear arrangement problem [PDF] F. Shahrokhi, O. Sykora, L. Székely, and I. Vrto 1998:19  
Constructing integral uniform flows in symmetric networks with application to the edge-forwarding index problem [PDF] F. Shahrokhi and L. Székely 1998:18  
A few logs suffice to build (almost) all trees (II) [PDF] P. Erdős, M. Steel, L. Székely, and T. Warnow 1998:17  
A few logs suffice to build (almost) all trees (I) [PDF] P. Erdős, M. Steel, L. Székely, and T. Warnow 1998:16  
Adaptive wavelet methods for elliptic operator equations - convergence rates [PDF] A. Cohen, W. Dahmen, and R. DeVore 1998:15  
Database security and the distribution of subset sums in R[PDF] J. Griggs 1998:14  
Extremal graphs with bounded densities of small subgraphs [PDF] J. Griggs, M. Simonovits, and G. Thomas 1998:13  
The cycling of partitions and compositions under repeated shifts [PDF] J. Griggs and C. Ho 1998:12  
On the half-half case of the Zarankiewicz problem [PDF] J. Griggs and C. Ho 1998:11  
On the distribution of sums of vectors in general position [PDF] J. Griggs and G. Rote 1998:10  
Landau's theorem revisited [PDF] J. Griggs and K. Reid 1998:09  
A new extension of Lubell's inequality to the lattice of divisors [PDF] F. Chudak and J. Griggs 1998:08  
A nonstandard finite element interpolation estimate (file not available)
(Numer. Funct. Anal. Optim. 20 (1999), 245-250)
s. Brenner  1998:07  
Non-linearity versus linearity in ridge approximation [PDF] K. Oskolkov 1998:06  
Lower bounds for two-level additive Schwarz preconditioners for nonconforming finite elements (file not available)
(Advances in Computational Mathematics (Proceedings of the Guangzhou International Symposium 1997) Lecture Notes in Pure and Appl. Math. 202, pp. 585-604, Dekker, New York, 1999)
S. Brenner and L. Sung 1998:05  
Lower bounds for nonoverlapping domain decomposition preconditioners in two dimensions (file not available)
(Math. Comp. 69 (2000), 1319-1339)
S. Brenner and L. Sung 1998:04  
Ridge approximation and Kolmogorov-Nikol'skii problem [PDF] K. Oskolkov 1998:03  
Nonlinear approximation [PDF] R. DeVore 1998:02  
Lower bounds for two-level additive Schwarz preconditioners with small overlap (file not available)
(SIAM J. Sci. Comp. 21 (2000), 1657-1669.)
S. Brenner 1998:01  
Approximation by ridge functions and neural networks [PDF] P. Petrushev 1997:18  
A characteristic domain decomposition and space-time local refinement method for first-order linear hyperbolic equations with interfaces [PDF] M. Al-Lawatia, R. Sharpley, and H. Wang 1997:17  
A characteristic domain decomposition technique for two-phase flows with interfaces [PDF] B. Ersland and H. Wang 1997:16  
Second-order characteristic methods for advection-diffusion equations and comparison to other schemes [PDF] M. Al-Lawatia, R. Sharpley, and H. Wang 1997:15  
An Eulerian-Lagrangian localized adjoint method for advection-dispersion equations in two dimensions and its comparison to other schemes [PDF] H. Dahle, M. Espedal, R. Ewing, S. Man, R. Sharpley, and H. Wang 1997:14  
Nonlinear m-term approximation with regard to the multivariate Haar system [PDF] V. Temlyakov 1997:13  
Nonlinear Kolmogorov's widths [PDF] V. Temlyakov 1997:12  
Greedy algorithms and m-term approximation with regard to redundant dictionaries [PDF] V. Temlyakov 1997:11  
The best m-term approximation and greedy algorithms [PDF] V. Temlyakov 1997:10  
Ridge approximation, Chebyshev-Fourier analysis and optimal quadrature formulas [PDF] K. Oskolkov 1997:09  
Schrödinger equation and oscillatory Hilbert transforms of second degree [PDF] K. Oskolkov 1997:08  
Nonlinear approximation and the space BV(R2) [PDF] A. Cohen, R. DeVore, P. Petrushev, and H. Xu 1997:07  
Restricted nonlinear approximation [PDF]

A. Cohen, R. DeVore, and R. Hochmut 1997:06  
The condition number of the Schur complement in domain decomposition (file not available)
(Numer. Math. 83 (1999), 187-203)
S. Brenner 1997:05  
Balancing domain decomposition for nonconforming plate elements (file not available)
(Numer. Math. 83 (1999), 25 - 52)
S. Brenner and L. Sung 1997:04  
The inverse spectral method for colliding gravitational waves (file not available)
(Math. Phys. Anal. Geom. 1 (1999), 313-330)
A. Fokas, L. Sung, and D. Tsoubelis 1997:03  
Data compression and elementary encoding of wavelet coefficients [PDF] A. Andreev, Z. Gao, and R. Sharpley 1997:02  
A 3D user environment for partial differential equations [PDF] L. Johnson, A. Kaulgud, and R. Sharpley 1997:01  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


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