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ORCIDDavid W. Zingg
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- affiliation: University of Toronto, Canada
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2020 – today
- 2024
[j35]Zelalem Arega Worku
, David W. Zingg:
Entropy-split multidimensional summation-by-parts discretization of the Euler and compressible Navier-Stokes equations. J. Comput. Phys. 502: 112821 (2024)- [j34]Zelalem Arega Worku, Jason E. Hicken, David W. Zingg:
Quadrature Rules on Triangles and Tetrahedra for Multidimensional Summation-By-Parts Operators. J. Sci. Comput. 101(1): 24 (2024) - [j33]Tristan Montoya, David W. Zingg:
Efficient Tensor-Product Spectral-Element Operators with the Summation-by-Parts Property on Curved Triangles and Tetrahedra. SIAM J. Sci. Comput. 46(4): 2270- (2024) - [i10]Zelalem Arega Worku, Jason E. Hicken, David W. Zingg:
Tensor-Product Split-Simplex Summation-By-Parts Operators. CoRR abs/2408.10494 (2024) - [i9]Zelalem Arega Worku, Jason E. Hicken, David W. Zingg:
Very high-order symmetric positive-interior quadrature rules on triangles and tetrahedra. CoRR abs/2409.02027 (2024) - 2023
- [j32]André L. Marchildon, David W. Zingg:
A Non-intrusive Solution to the Ill-Conditioning Problem of the Gradient-Enhanced Gaussian Covariance Matrix for Gaussian Processes. J. Sci. Comput. 95(2): 65 (2023) - [i8]Zelalem Arega Worku, David W. Zingg:
Entropy-split multidimensional summation-by-parts discretization of the Euler and Navier-Stokes equations. CoRR abs/2305.07181 (2023) - [i7]Tristan Montoya, David W. Zingg:
Efficient Tensor-Product Spectral-Element Operators with the Summation-by-Parts Property on Curved Triangles and Tetrahedra. CoRR abs/2306.05975 (2023) - [i6]Zelalem Arega Worku, Jason E. Hicken, David W. Zingg:
Quadrature Rules on Triangles and Tetrahedra for Multidimensional Summation-By-Parts Operators. CoRR abs/2311.15576 (2023) - [i5]Tristan Montoya, David W. Zingg:
Efficient Entropy-Stable Discontinuous Spectral-Element Methods Using Tensor-Product Summation-by-Parts Operators on Triangles and Tetrahedra. CoRR abs/2312.07874 (2023) - 2022
- [j31]Zelalem Arega Worku, David W. Zingg:
Stability and Functional Superconvergence of Narrow-Stencil Second-Derivative Generalized Summation-By-Parts Discretizations. J. Sci. Comput. 90(1): 42 (2022) - [j30]André L. Marchildon, David W. Zingg:
Unisolvency for Polynomial Interpolation in Simplices with Symmetrical Nodal Distributions. J. Sci. Comput. 92(2): 50 (2022) - [j29]Tristan Montoya, David W. Zingg:
A Unifying Algebraic Framework for Discontinuous Galerkin and Flux Reconstruction Methods Based on the Summation-by-Parts Property. J. Sci. Comput. 92(3): 87 (2022) - [j28]David A. Craig Penner, David W. Zingg:
Accurate High-Order Tensor-Product Generalized Summation-By-Parts Discretizations of Hyperbolic Conservation Laws: General Curved Domains and Functional Superconvergence. J. Sci. Comput. 93(2): 36 (2022) - 2021
- [j27]Zelalem Arega Worku, David W. Zingg:
Simultaneous approximation terms and functional accuracy for diffusion problems discretized with multidimensional summation-by-parts operators. J. Comput. Phys. 445: 110634 (2021) - [i4]Tristan Montoya, David W. Zingg:
A unifying algebraic framework for discontinuous Galerkin and flux reconstruction methods based on the summation-by-parts property. CoRR abs/2101.10478 (2021) - [i3]Zelalem Arega Worku, David W. Zingg:
Stability and Functional Superconvergence of Narrow-Stencil Second-Derivative Generalized Summation-By-Parts Discretizations. CoRR abs/2102.04868 (2021) - 2020
- [j26]André L. Marchildon, David W. Zingg:
Optimization of multidimensional diagonal-norm summation-by-parts operators on simplices. J. Comput. Phys. 411: 109380 (2020) - [j25]David A. Craig Penner, David W. Zingg:
Superconvergent Functional Estimates from Tensor-Product Generalized Summation-by-Parts Discretizations in Curvilinear Coordinates. J. Sci. Comput. 82(2): 41 (2020) - [j24]Siavosh Shadpey, David W. Zingg:
Entropy-Stable Multidimensional Summation-by-Parts Discretizations on hp-Adaptive Curvilinear Grids for Hyperbolic Conservation Laws. J. Sci. Comput. 82(3): 70 (2020) - [i2]Zelalem Arega Worku, David W. Zingg:
Simultaneous approximation terms and functional accuracy for diffusion problems discretized with multidimensional summation-by-parts operators. CoRR abs/2012.07812 (2020)
2010 – 2019
- 2019
- [j23]David A. Brown, David W. Zingg:
Monolithic homotopy continuation with predictor based on higher derivatives. J. Comput. Appl. Math. 346: 26-41 (2019) - [j22]David C. Del Rey Fernández, Pieter D. Boom, Mark H. Carpenter, David W. Zingg:
Extension of Tensor-Product Generalized and Dense-Norm Summation-by-Parts Operators to Curvilinear Coordinates. J. Sci. Comput. 80(3): 1957-1996 (2019) - 2018
- [j21]Jared Crean, Jason E. Hicken, David C. Del Rey Fernández, David W. Zingg, Mark H. Carpenter:
Entropy-stable summation-by-parts discretization of the Euler equations on general curved elements. J. Comput. Phys. 356: 410-438 (2018) - [j20]Pieter D. Boom, David W. Zingg:
Optimization of high-order diagonally-implicit Runge-Kutta methods. J. Comput. Phys. 371: 168-191 (2018) - [j19]David C. Del Rey Fernández, Jason E. Hicken, David W. Zingg:
Simultaneous Approximation Terms for Multi-dimensional Summation-by-Parts Operators. J. Sci. Comput. 75(1): 83-110 (2018) - [j18]Lucas Friedrich, David C. Del Rey Fernández, Andrew R. Winters, Gregor J. Gassner, David W. Zingg, Jason E. Hicken:
Conservative and Stable Degree Preserving SBP Operators for Non-conforming Meshes. J. Sci. Comput. 75(2): 657-686 (2018) - [j17]David A. Brown, David W. Zingg:
Matrix-free monolithic homotopy continuation with application to computational aerodynamics. Numer. Algorithms 78(4): 1303-1320 (2018) - 2017
- [j16]David C. Del Rey Fernández, Pieter D. Boom, David W. Zingg:
Corner-corrected diagonal-norm summation-by-parts operators for the first derivative with increased order of accuracy. J. Comput. Phys. 330: 902-923 (2017) - 2016
- [j15]David A. Brown, David W. Zingg:
Efficient numerical differentiation of implicitly-defined curves for sparse systems. J. Comput. Appl. Math. 304: 138-159 (2016) - [j14]David A. Brown, David W. Zingg:
A monolithic homotopy continuation algorithm with application to computational fluid dynamics. J. Comput. Phys. 321: 55-75 (2016) - [j13]Jason E. Hicken, David C. Del Rey Fernández, David W. Zingg:
Multidimensional Summation-by-Parts Operators: General Theory and Application to Simplex Elements. SIAM J. Sci. Comput. 38(4) (2016) - 2015
- [j12]Pieter D. Boom, David W. Zingg:
High-Order Implicit Time-Marching Methods Based on Generalized Summation-By-Parts Operators. SIAM J. Sci. Comput. 37(6) (2015) - [j11]David C. Del Rey Fernández, David W. Zingg:
Generalized Summation-by-Parts Operators for the Second Derivative. SIAM J. Sci. Comput. 37(6) (2015) - 2014
- [j10]Jason E. Hicken, David W. Zingg:
Dual consistency and functional accuracy: a finite-difference perspective. J. Comput. Phys. 256: 161-182 (2014) - [j9]David C. Del Rey Fernández, Pieter D. Boom, David W. Zingg:
A generalized framework for nodal first derivative summation-by-parts operators. J. Comput. Phys. 266: 214-239 (2014) - [i1]David C. Del Rey Fernández, David W. Zingg:
Generalized Summation-by-Parts Operators for the Second Derivative with Variable Coefficients. CoRR abs/1410.5029 (2014) - 2013
- [j8]Jason E. Hicken, David W. Zingg:
Summation-by-parts operators and high-order quadrature. J. Comput. Appl. Math. 237(1): 111-125 (2013) - 2011
- [j7]Jason E. Hicken, David W. Zingg:
Superconvergent Functional Estimates from Summation-By-Parts Finite-Difference Discretizations. SIAM J. Sci. Comput. 33(2): 893-922 (2011) - 2010
- [j6]Jason E. Hicken, David W. Zingg:
A Simplified and Flexible Variant of GCROT for Solving Nonsymmetric Linear Systems. SIAM J. Sci. Comput. 32(3): 1672-1694 (2010)
2000 – 2009
- 2009
- [j5]Todd T. Chisholm, David W. Zingg:
A Jacobian-free Newton-Krylov algorithm for compressible turbulent fluid flows. J. Comput. Phys. 228(9): 3490-3507 (2009) - 2001
- [j4]Henry M. Jurgens, David W. Zingg:
Numerical Solution of the Time-Domain Maxwell Equations Using High-Accuracy Finite-Difference Methods. SIAM J. Sci. Comput. 22(5): 1675-1696 (2001) - 2000
- [j3]David W. Zingg:
Comparison of High-Accuracy Finite-Difference Methods for Linear Wave Propagation. SIAM J. Sci. Comput. 22(2): 476-502 (2000)
1990 – 1999
- 1996
- [j2]David W. Zingg, Harvard Lomax, Henry M. Jurgens:
High-Accuracy Finite-Difference Schemes for Linear Wave Propagation. SIAM J. Sci. Comput. 17(2): 328-346 (1996) - 1992
- [j1]David W. Zingg, Maurice Yarrow:
A Method of Smooth Bivariate Interpolation for Data Given on a Generalized Curvilinear Grid. SIAM J. Sci. Comput. 13(3): 687-693 (1992)
Coauthor Index
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