Modified Conjugate Gradient Method for the Solution of Ax=b. - Sigal Gottlieb; Paul F. Fischer (J. Sci. Comput., 1998)

Total variation diminishing Runge-Kutta schemes. - Sigal Gottlieb; Chi-Wang Shu (Math. Comput., 1998)

Solving A x underline x = b underline b Using a Modified Conjugate Gradient Method Based on Roots of A. - Paul F. Fischer; Sigal Gottlieb (J. Sci. Comput., 2000)

Strong Stability-Preserving High-Order Time Discretization Methods. - Sigal Gottlieb; Chi-Wang Shu; Eitan Tadmor (SIAM Rev., 2001)

Strong Stability Preserving Properties of Runge-Kutta Time Discretization Methods for Linear Constant Coefficient Operators. - Sigal Gottlieb; Lee-Ad Gottlieb (J. Sci. Comput., 2003)

On High Order Strong Stability Preserving Runge-Kutta and Multi Step Time Discretizations. - Sigal Gottlieb (J. Sci. Comput., 2005)

One-sided Post-processing for the Discontinuous Galerkin Method Using ENO Type Stencil Choosing and the Local Edge Detection Method. - Rick Archibald; Anne Gelb; Sigal Gottlieb; Jennifer K. Ryan (J. Sci. Comput., 2006)

Recovering High-Order Accuracy in WENO Computations of Steady-State Hyperbolic Systems. - Sigal Gottlieb; David I. Gottlieb; Chi-Wang Shu (J. Sci. Comput., 2006)

A Fifth Order Flux Implicit WENO Method. - Sigal Gottlieb; Julia S. Mullen; Steven J. Ruuth (J. Sci. Comput., 2006)

Optimal Strong-Stability-Preserving Time-Stepping Schemes with Fast Downwind Spatial Discretizations. - Sigal Gottlieb; Steven J. Ruuth (J. Sci. Comput., 2006)

A Numerical Study of Diagonally Split Runge-Kutta Methods for PDEs with Discontinuities. - Colin B. Macdonald; Sigal Gottlieb; Steven J. Ruuth (J. Sci. Comput., 2008)

High Order Strong Stability Preserving Time Discretizations. - Sigal Gottlieb; David I. Ketcheson; Chi-Wang Shu (J. Sci. Comput., 2009)

Spectral methods. - David I. Gottlieb; Sigal Gottlieb (Scholarpedia, 2009)

Foreword. - Sigal Gottlieb; Chi-Wang Shu (J. Sci. Comput., 2010)

Recovery of High Order Accuracy in Radial Basis Function Approximations of Discontinuous Problems. - Jae-Hun Jung; Sigal Gottlieb; Saeja Oh Kim; Chris L. Bresten; Daniel Higgs (J. Sci. Comput., 2010)

Strong Stability Preserving Two-step Runge-Kutta Methods. - David I. Ketcheson; Sigal Gottlieb; Colin B. Macdonald (SIAM J. Numer. Anal., 2011)

Preface. - Sigal Gottlieb; Adi Ditkowski (J. Sci. Comput., 2012)

Stability and Convergence Analysis of Fully Discrete Fourier Collocation Spectral Method for 3-D Viscous Burgers' Equation. - Sigal Gottlieb; Cheng Wang 015 (J. Sci. Comput., 2012)

Long Time Stability of a Classical Efficient Scheme for Two-dimensional Navier-Stokes Equations. - Sigal Gottlieb; Florentina Tone; Cheng Wang 015; Xiaoming Wang 009; Djoko Wirosoetisno (SIAM J. Numer. Anal., 2012)

Reduced Collocation Methods: Reduced Basis Methods in the Collocation Framework. - Yanlai Chen; Sigal Gottlieb (J. Sci. Comput., 2013)

Optimal explicit strong stability preserving Runge-Kutta methods with high linear order and optimal nonlinear order. - Sigal Gottlieb; Zachary Grant; Daniel Higgs (Math. Comput., 2015)

A Reduced Radial Basis Function Method for Partial Differential Equations on Irregular Domains. - Yanlai Chen; Sigal Gottlieb; Alfa R. H. Heryudono; Akil Narayan 001 (J. Sci. Comput., 2016)

Explicit Strong Stability Preserving Multistage Two-Derivative Time-Stepping Schemes. - Andrew J. Christlieb; Sigal Gottlieb; Zachary Grant; David C. Seal (J. Sci. Comput., 2016)

Erratum to: Explicit Strong Stability Preserving Multistage Two-Derivative Time-Stepping Schemes. - Andrew J. Christlieb; Sigal Gottlieb; Zachary Grant; David C. Seal (J. Sci. Comput., 2016)

Implicit-Explicit Strong Stability Preserving Runge-Kuta Methods with High Linear Order. - Sidafa Conde; Sigal Gottlieb; Zachary J. Grant; John N. Shadid (PEARC, 2017)

Implicit and Implicit-Explicit Strong Stability Preserving Runge-Kutta Methods with High Linear Order. - Sidafa Conde; Sigal Gottlieb; Zachary J. Grant; John N. Shadid (J. Sci. Comput., 2017)

Error Inhibiting Block One-step Schemes for Ordinary Differential Equations. - Adi Ditkowski; Sigal Gottlieb (J. Sci. Comput., 2017)

Special Issue in Honor of Professor Chi-Wang Shu. - Sigal Gottlieb; Johnny Guzmán; Fengyan Li; Jennifer K. Ryan (J. Sci. Comput., 2017)

Explicit strong stability preserving multistep Runge-Kutta methods. - Christopher Bresten; Sigal Gottlieb; Zachary Grant; Daniel Higgs; David I. Ketcheson; Adrián Németh (Math. Comput., 2017)

Supercomputing-Enabled Advances in Science and Engineering. - Sigal Gottlieb; Gaurav Khanna 001 (Comput. Sci. Eng., 2018)

Strong Stability Preserving Integrating Factor Runge-Kutta Methods. - Leah Isherwood; Zachary J. Grant; Sigal Gottlieb (SIAM J. Numer. Anal., 2018)

L1-ROC and R2-ROC: L1- and R2-based Reduced Over-Collocation methods for parametrized nonlinear partial differential equations. - Yanlai Chen; Sigal Gottlieb; Lijie Ji; Yvon Maday; Zhenli Xu (CoRR, 2019)

Explicit and implicit error inhibiting schemes with post-processing. - Adi Ditkowski; Sigal Gottlieb; Zachary J. Grant (CoRR, 2019)

Two-derivative error inhibiting schemes with post-processing. - Adi Ditkowski; Sigal Gottlieb; Zachary J. Grant (CoRR, 2019)

Preface to the Special Issue in Memory of Professor Saul Abarbanel. - Alina Chertock; Adi Ditkowski; Anne Gelb; Sigal Gottlieb; Semyon Tsynkov (J. Sci. Comput., 2019)

Strong Stability Preserving Integrating Factor Two-Step Runge-Kutta Methods. - Leah Isherwood; Zachary J. Grant; Sigal Gottlieb (J. Sci. Comput., 2019)

A GPU-accelerated mixed-precision WENO method for extremal black hole and gravitational wave physics computations. - Scott E. Field; Sigal Gottlieb; Zachary J. Grant; Leah F. Isherwood; Gaurav Khanna 001 (CoRR, 2020)

Two-Derivative Error Inhibiting Schemes and Enhanced Error Inhibiting Schemes. - Adi Ditkowski; Sigal Gottlieb; Zachary J. Grant (SIAM J. Numer. Anal., 2020)

Performance Evaluation of Mixed-Precision Runge-Kutta Methods. - Ben Burnett; Sigal Gottlieb; Zachary J. Grant; Alfa R. H. Heryudono (HPEC, 2021)

High order positivity preserving and asymptotic preserving multi-derivative methods. - Sigal Gottlieb; Zachary J. Grant; Jingwei Hu; Ruiwen Shu (CoRR, 2021)

An EIM-degradation free reduced basis method via over collocation and residual hyper reduction-based error estimation. - Yanlai Chen; Sigal Gottlieb; Lijie Ji; Yvon Maday (J. Comput. Phys., 2021)

Discontinuous Galerkin method for linear wave equations involving derivatives of the Dirac delta distribution. - Scott E. Field; Sigal Gottlieb; Gaurav Khanna 001; Ed McClain (CoRR, 2022)

Stability Analysis and Performance Evaluation of Mixed-Precision Runge-Kutta Methods. - Ben Burnett; Sigal Gottlieb; Zachary J. Grant (CoRR, 2022)

A general linear method approach to the design and optimization of efficient, accurate, and easily implemented time-stepping methods in CFD. - Victor P. DeCaria; Sigal Gottlieb; Zachary J. Grant; William J. Layton (J. Comput. Phys., 2022)

High Order Strong Stability Preserving MultiDerivative Implicit and IMEX Runge-Kutta Methods with Asymptotic Preserving Properties. - Sigal Gottlieb; Zachary J. Grant; Jingwei Hu; Ruiwen Shu (SIAM J. Numer. Anal., 2022)

A review of high order strong stability preserving two-derivative explicit, implicit, and IMEX methods. - Sigal Gottlieb; Zachary J. Grant (CoRR, 2024)

Editorial: Advances in computational relativity. - Scott E. Field; Sigal Gottlieb; Gaurav Khanna 001 (Frontiers Appl. Math. Stat., 2024)

Superconvergent Discontinuous Galerkin Method for the Scalar Teukolsky Equation on Hyperboloidal Domains: Efficient Waveform and Self-Force Computation. - Manas Vishal; Scott E. Field; Sigal Gottlieb; Jennifer K. Ryan (CoRR, 2025)