D. Gottlieb

发表

Numerical analysis of spectral methods : theory and applications

D. Gottlieb, S. Orszag, 1977 .

CBMS-NSF REGIONAL CONFERENCE SERIES IN APPLIED MATHEMATICS

Steven A. Orszag, Peter J. Huber, David Gottlieb, 1978 .

The theoretical accuracy of Runge-Kutta . . .

D. Gottlieb, M. Carpenter, 1997 .

Numerical analysis of spectral methods

D. Gottlieb, S. Orszag, 1977 .

ICASE THE CFL CONDITION FOR SPECTRAL APPROXIMATIONS TO HYPERBOLIC INITIAL-BOUNDARY VALUE PROBLEMS

D. Gottlieb, E. Tadmor, 1991 .

The CFL condition for spectral approximations to hyperbolic initial-boundary value problems.

D. Gottlieb, E. Tadmor, 1991 .

The Theoretical Accuracy of Runge-Kutta Time Discretizations for the Initial Boundary Value Problem: A Study of the Boundary Error

David I. Gottlieb, Wai-Sun Don, Saul Abarbanel, 1995, SIAM J. Sci. Comput..

The Stability of Numerical Boundary Treatments for Compact High-Order Finite-Difference Schemes

D. Gottlieb, M. Carpenter, S. Abarbanel, 1993 .

Stable and accurate boundary treatments for compact, high-order finite-difference schemes

D. Gottlieb, M. Carpenter, S. Abarbanel, 1993 .

Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: methodology and application to high-order compact schemes

D. Gottlieb, M. Carpenter, S. Abarbanel, 1994 .

A Stable and Conservative Interface Treatment of Arbitrary Spatial Accuracy

D. Gottlieb, M. Carpenter, J. Nordström, 1999 .

Collocation methods for the solution of von-Kármán dynamic non-linear plate systems

D. Gottlieb, R. Kirby, Z. Yosibash, 2004 .

Spectral Methods on Arbitrary Grids

David Gottlieb, Mark H. Carpenter, D. Gottlieb, 1995 .

Regular Article: Well-posed Perfectly Matched Layers for Advective Acoustics

D. Gottlieb, J. Hesthaven, S. Abarbanel, 1999 .

Dissipative two-four methods for time-dependent problems

Eli Turkel, David Gottlieb, D. Gottlieb, 1976 .

Spectral methods for hyperbolic problems

D. Gottlieb, J. Hesthaven, D. Gottlieb, 2001 .

HIGH ORDER METHODS FOR SUPERSONIC REACTIVE FLOWS AFSOR GRANT FA9550-05-1-0123 FINAL REPORT

D. Gottlieb, Waiching Sun, 2008 .

Issues in the Application of High Order Schemes

David Gottlieb, D. Gottlieb, 1993 .

On one-sided filters for spectral Fourier approximations of discontinuous functions

Wei Cai, Chi-Wang Shu, David Gottlieb, 1992 .

Stable spectral methods for conservation laws on triangles with unstructured grids

Jan S. Hesthaven, David Gottlieb, D. Gottlieb, 1999 .

A Mathematical Analysis of the PML Method

David Gottlieb, Saul Abarbanel, D. Gottlieb, 1997 .

On the matrix equations AH + HA∗ = A∗H + HA = I

D. Gottlieb, M. Gunzburger, 1977 .

Spectral Simulations of Electromagnetic Wave Scattering

Jan S. Hesthaven, David Gottlieb, D. Gottlieb, 1997 .

On the construction and analysis of absorbing layers in CEM

David Gottlieb, Saul Abarbanel, D. Gottlieb, 1998 .

Spatial discretization of the dusty gas equations

D. Gottlieb, R. Temam, 2004 .

A new method of imposing boundary conditions in pseudospectral approximations of hyperbolic equations

D. Gottlieb, D. Funaro, 1988 .

A Weighted Multi-Domain Spectral Penalty Method with Inhomogeneous Grid for Supersonic Injective Cavity Flows

Jae-Hun Jung, David Gottlieb, Wai-Sun Don, 2009 .

Novel Mathematical and Computational Techniques for Robust Uncertainty Quantification

P. Dupuis, D. Gottlieb, J. Hesthaven, 2011 .

An adaptive pseudo-spectral method for reaction diffusion problems

Bernard J. Matkowsky, David Gottlieb, Alvin Bayliss, 1989 .

Dissipative two-four methods for time-dependent problems

D. Gottlieb, E. Turkel, 1976 .

Interplay of holon and spinon dynamics in doped anisotropic Heisenberg chains

D. Gottlieb, G. Cabrera, M. Montenegro, 1993 .

On the Conservation and Convergence to Weak Solutions of Global Schemes

Chi-Wang Shu, David I. Gottlieb, Mark H. Carpenter, 2003, J. Sci. Comput..

1. g From finite differences to finite elements: A short history of numerical analysis of partial differential

W. Dahmen, V. Thomée, G. Fairweather, 2003 .

Implementation of the nonlinear Galerkin method with pseudospectral (collocation) discretizations

D. Gottlieb, R. Temam, 1993 .

2. Spectral Methods

Steven A. Orszag, David Gottlieb, D. Gottlieb, 1977 .

Spectral Methods for Time-Dependent Problems: Fourier spectral methods

Jan S. Hesthaven, Sigal Gottlieb, David Gottlieb, 2007 .

Spectral Methods for Time-Dependent Problems: Orthogonal polynomials

Jan S. Hesthaven, Sigal Gottlieb, David Gottlieb, 2007 .

High Order Accuracy Computational Methods for Long Time Integration of Nonlinear PDEs in Complex Domains

Chi-Wang Shu, D. Gottlieb, P. Fischer, 1998 .

Optimization of chemical vapor infiltration with simultaneous powder formation

D. Gottlieb, B. Sheldon, A. Ditkowski, 2000 .

Competition between charge and bond waves in a Peierls-Hubbard model

D. Gottlieb, J. Rossler, 1990 .

Structural instability of a boson system in one dimension

D. Gottlieb, O. Maldonado, 1989 .

Non-oscillatory spectral Fourier methods for shock wave calculations

Chi-Wang Shu, D. Gottlieb, W. Cai, 1988 .

The electrical conductivity of very thin metal films

D. Gottlieb, V. Halpern, 1976 .

Transversal magnetoresistance in La2CuO4

D. Gottlieb, 1988 .

Singlet excitations in the anisotropic S=1/2 antiferromagnetic Heisenberg model

D. Gottlieb, M. Lagos, M. Montenegro, 1992 .

General solution for the antiferromagnetic Heisenberg model with exchange anisotropy toward the Ising limit

D. Gottlieb, M. Lagos, 1991 .

On the mathematical analysis and optimization of chemical vapor infiltration in materials science

D. Gottlieb, B. Sheldon, A. Ditkowski, 2000 .

Mathematical Analysis and Optimization of Infiltration Processes

H.-C. Chang, David I. Gottlieb, M. Marion, 1998, J. Sci. Comput..

Paired excitations in the antiferromagnetic Heisenberg model with uniaxial anisotropy

D. Gottlieb, M. Montenegro, 1991 .

Lattice Unstabilities of Magnetic Origin

D. Gottlieb, M. Lagos, 1990 .

Spectral methods

Sigal Gottlieb, David I. Gottlieb, D. Gottlieb, 2009, Scholarpedia.

Time Marching Multilevel Techniques for Evolutionary Dissipative Problems

Roger Temam, David I. Gottlieb, Lucia Dettori, 2001, SIAM J. Sci. Comput..

On the Optimal Number of Subdomains for Hyperbolic Problems on Parallel Computers

Paul Fischer, David I. Gottlieb, D. Gottlieb, 1997, Int. J. High Perform. Comput. Appl..

On the Gibbs Phenomenon and Its Resolution

Chi-Wang Shu, David I. Gottlieb, Chi-Wang Shu, 1997, SIAM Rev..

Spectral Methods for Time-Dependent Problems: Contents

Jan S. Hesthaven, Sigal Gottlieb, David Gottlieb, 2007 .

On the Gibbs phenomenon III: recovering exponential accuracy in a sub-interval from a spectral partial sum of a piecewise analytic function

Chi-Wang Shu, David Gottlieb, Chi-Wang Shu, 1996 .

On the Gibbs phenomenon IV: recovering exponential accuracy in a subinterval from a Gegenbauer partial sum of a piecewise analytic function

Chi-Wang Shu, David Gottlieb, Chi-Wang Shu, 1994 .

Numerical Convergence Study of Nearly Incompressible, Inviscid Taylor–Green Vortex Flow

Leland Jameson, Chi-Wang Shu, David I. Gottlieb, 2005, J. Sci. Comput..

Spectral Simulation of Supersonic Reactive Flows

David Gottlieb, Wai Sun Don, D. Gottlieb, 1998 .

High order methods for complicated flows interacting with shock waves

David Gottlieb, Wai Sun Don, D. Gottlieb, 1997 .

Structural instability in a boson system

D. Gottlieb, J. Rössler, G. Martínez, 1990 .

Recovering High-Order Accuracy in WENO Computations of Steady-State Hyperbolic Systems

Chi-Wang Shu, Sigal Gottlieb, David I. Gottlieb, 2006, J. Sci. Comput..

Recovering Pointwise Values of Discontinuous Data within Spectral Accuracy

Eitan Tadmor, David Gottlieb, D. Gottlieb, 1985 .

A Nonlinear Glerkin Method ' The Two-Level Chebyshev Collocation Case

D. Gottlieb, R. Temam, L. Dettori, 2011 .

The resolution of the Gibbs phenomenon for "spliced" functions in one and two dimensions

Anne Gelb, David Gottlieb, D. Gottlieb, 1997 .

A Stable Penalty Method for the Compressible Navier-Stokes Equations: I. Open Boundary Conditions

Jan S. Hesthaven, David I. Gottlieb, D. Gottlieb, 1996, SIAM J. Sci. Comput..

A nonlinear galerkin method: The two-level fourier-collocation case

Roger Temam, David Gottlieb, Lucia Dettori, 1995 .

CONVERGENCE RESULTS FOR PSEUDOSPECTRAL APPROXIMATIONS OF HYPERBOLIC SYSTEMS BY A PENALTY-TYPE BOUNDARY TREATMENT

David Gottlieb, Daniele Funaro, D. Gottlieb, 1991 .

Quadrature imposition of compatibility conditions in Chebyshev methods

D. Gottlieb, C. Streett, 1990 .

Spectral Calculations of One-Dimensional Inviscid Compressible Flows

Steven A. Orszag, David Gottlieb, D. Gottlieb, 1981 .

On the Removal of Boundary Errors Caused by Runge-Kutta Integration of Nonlinear Partial Differential Equations

David I. Gottlieb, Saul Abarbanel, Mark H. Carpenter, 1994, SIAM J. Sci. Comput..

Revisiting and Extending Interface Penalties for Multi-domain Summation-by-Parts Operators

Jan Nordström, David I. Gottlieb, Mark H. Carpenter, 2010, J. Sci. Comput..

Galerkin method for wave equations with uncertain coefficients

Dongbin Xiu, David Gottlieb, D. Gottlieb, 2008 .

Uncertainty analysis for the steady-state flows in a dual throat nozzle

Jan S. Hesthaven, David Gottlieb, D. Gottlieb, 2005 .

Domain Decomposition Survey 143 Methods for Partial Diierential Equationsddm Preconditioner for 4th Order Problems by Using B- Spline Nite Element Method', in Fourth Int. Symp. on Domain Decomposition Methods for Partial Diierential Equationsiterative Substructuring Methods: Algorithms and Theory fo

Jinchao Xu, C.-C. Jay Kuo, Jun Zou, 1994 .

Topics in spectral methods

Eli Turkel, David Gottlieb, D. Gottlieb, 1985 .

Cell averaging Chebyshev methods for hyperbolic problems

Ami Harten, Wei Cai, David Gottlieb, 1992 .

The Spectrum of the Chebyshev Collocation Operator for the Heat Equation

David Gottlieb, D. Gottlieb, L. Lustman, 1983 .

The Dufort-Frankel Chebyshev method for parabolic initial boundary value problems

D. Gottlieb, L. Lustman, 1983 .

On Numerical Boundary Treatment of Hyperbolic Systems for Finite Difference and Finite Element Methods

Eli Turkel, Max Gunzburger, David Gottlieb, 1982 .

Stability of pseudospectral and finite-difference methods for variable coefficient problems

Eli Turkel, Steven A. Orszag, David Gottlieb, 1981 .

The stability of pseudospectral-Chebyshev methods

David Gottlieb, D. Gottlieb, 1981 .

On time discretizations for spectral methods

D. Gottlieb, Eli Turkel, 1980 .

High resolution spectral calculations of inviscid compressible flows

Steven A. Orszag, David Gottlieb, D. Gottlieb, 1980 .

On the direct Fourier method for computer tomography

Bertil Gustafsson, David I. Gottlieb, Patrik Forssén, 2000, IEEE Transactions on Medical Imaging.

Application of implicit-explicit high order Runge-Kutta methods to discontinuous-Galerkin schemes

Jan S. Hesthaven, David I. Gottlieb, Mark H. Carpenter, 2007, J. Comput. Phys..

Optimal time splitting for two- and three-dimensional navier-stokes equations with mixed derivatives

David Gottlieb, Saul Abarbanel, D. Gottlieb, 1981 .

Parallel pseudospectral domain decomposition techniques

David Gottlieb, D. Gottlieb, R. Hirsh, 1989 .

Essentially Nonoscillatory Spectral Fourier Method for Shocks Wave Calculations

Wei Cai, Chi-Wang Shu, David Gottlieb, 1989 .

Wind Set-down Relaxation on a Sloping Beach

D. Gottlieb, A. Gelb, N. Paldor, 1997 .

Numerical stabilizers and computing time for second-order accurate schemes☆

D. Gottlieb, G. Zwas, B. Eilon, 1972 .

Non-Linear PML Equations for Time Dependent Electromagnetics in Three Dimensions

Jan S. Hesthaven, David I. Gottlieb, Saul Abarbanel, 2006, J. Sci. Comput..

Contemporary Mathematics On the Engquist Majda Absorbing Boundary Conditions for Hyperbolic Systems

D. Gottlieb, A. Ditkowski, 2005 .

Spectral Methods Based on Prolate Spheroidal Wave Functions for Hyperbolic PDEs

Jan S. Hesthaven, David I. Gottlieb, Q. Y. Chen, 2005, SIAM J. Numer. Anal..

Phase Error and Stability of Second Order Methods for Hyperbolic Problems. II

D. Gottlieb, Eli Turkel, 1974 .

Higher Order Accuracy Finite Difference Algorithms for Quasi-Linear, Conservation Law Hyperbolic Systems*

D. Gottlieb, S. Abarbanel, 1973 .

Long Time Behavior of the Perfectly Matched Layer Equations in Computational Electromagnetics

Jan S. Hesthaven, David I. Gottlieb, Saul Abarbanel, 2002, J. Sci. Comput..

ICASE SPECTRAL METHODS FOR TIME DEPENDENT PARTIAL DIFFERENTIAL

David Gottlieb, D. Gottlieb, 2009 .

Analysis of the Error for Approximations to Systems of Hyperbolic Equations

D. Gottlieb, S. Abarbanel, Eli Turkel, 1999 .

Boundary conditions for multistep finite-difference methods for time-dependent equations☆

Eli Turkel, David Gottlieb, D. Gottlieb, 1978 .

On the Gibbs phenomenon I: recovering exponential accuracy from the Fourier partial sum of a nonperiodic analytic function

Alex Solomonoff, Chi-Wang Shu, David Gottlieb, 1992 .

A multidomain spectral method for supersonic reactive flows

Jae-Hun Jung, David Gottlieb, Wai Sun Don, 2003 .

The Chebyshev-Legendre method: implementing Legendre methods on Chebyshev points

David Gottlieb, Wai Sun Don, D. Gottlieb, 1994 .

Spectral Methods for Time-Dependent Problems: Index

D. Gottlieb, S. Gottlieb, J. Hesthaven, 2007 .

Convergence of spectral methods of hyperbolic initial-boundary value systems

Eitan Tadmor, David Gottlieb, D. Gottlieb, 1987 .

Spectral Methods for Discontinuous Problems

Eitan Tadmor, David Gottlieb, D. Gottlieb, 1985 .

Resolution properties of the Fourier method for discontinuous waves

Chi-Wang Shu, David Gottlieb, Chi-Wang Shu, 1994 .

SPECTRAL METHODS FOR TIME-DEPENDENT PROBLEMS.

D. Gottlieb, S. Gottlieb, J. Hesthaven, 2007 .

Upper and lower bounds on eigenvalues of Sturm-Liouville systems

D. Gottlieb, S. Breuer, 1971 .

On the Gibbs phenomenon V: recovering exponential accuracy from collocation point values of a piecewise analytic function

Chi-Wang Shu, David Gottlieb, Chi-Wang Shu, 1995 .

Splitting methods for low Mach number Euler and Navier-Stokes equations

D. Gottlieb, S. Abarbanel, Pravir Duth, 1989 .

Higher Order Accuracy Finite Difference Algorithms for Quasi-Linear, Conservation Law Hyperbolic Systems*

D. Gottlieb, S. Abarbanel, 1973 .

Modified Optimal Prediction and its Application to a Particle-Method Problem

Alex Solomonoff, Alina Chertock, David I. Gottlieb, 2008, J. Sci. Comput..

Strang-Type Difference Schemes for Multidimensional Problems

David Gottlieb, D. Gottlieb, 1972 .

Spectral methods for time dependent partial differential equations

D. Gottlieb, 1983 .

On time discretizations for spectral methods. [numerical integration of Fourier and Chebyshev methods for dynamic partial differential equations]

D. Gottlieb, Eli Turkel, 1980 .

Multidimensional Difference Schemes with Fourth-Order Accuracy

Eli Turkel, David Gottlieb, Saul Abarbanel, 1976 .

A note on the leap-frog scheme in two and three dimensions. [finite difference method for partial differential equations]

D. Gottlieb, S. Abarbanel, 1976 .

On Improving the $2-4$ Two-Dimensional Leap-Frog Scheme

D. Gottlieb, S. Abarbanel, 1980 .

Stability of two-dimensional initial-boundary value problems using leap-frog type schemes

David Gottlieb, Saul Abarbanel, D. Gottlieb, 1979 .