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Berzins, Martin

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Author ID: berzins.martin Recent zbMATH articles by "Berzins, Martin"
Published as: Berzins, M.; Berzins, Martin
Documents Indexed: 64 Publications since 1980, including 1 Book

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 349 times in 279 Documents Cited by Year
A method for the spatial discretization of parabolic equations in one space variable. Zbl 0701.65065
Skeel, Robert D.; Berzins, Martin
46
1990
An unstructured finite-volume algorithm for predicting flow in rivers and estuaries. Zbl 0964.76051
Sleigh, P. A.; Gaskell, P. H.; Berzins, M.; Wright, N. G.
25
1998
Analysis and reduction of quadrature errors in the material point method (MPM). Zbl 1195.74300
Steffen, Michael; Kirby, Robert M.; Berzins, Martin
21
2008
Balancing space and time errors in the method of lines for parabolic equations. Zbl 0725.65087
Lawson, J.; Berzins, M.; Dew, P. M.
20
1991
Developing software for time-dependent problems using the method of lines and differential-algebraic integrators. Zbl 0679.65071
Berzins, M.; Dew, P. M.; Furzeland, R. M.
18
1989
A finite element method for the one-dimensional extended Boussinesq equations. Zbl 0941.76055
Walkley, M.; Berzins, M.
17
1999
On spatial adaptivity and interpolation when using the method of lines. Zbl 0890.65102
Berzins, Martin; Capon, Philip J.; Jimack, Peter K.
13
1998
A finite element method for the two-dimensional extended Boussinesq equations. Zbl 1101.76362
Walkley, Mark; Berzins, Martin
12
2002
An adaptive theta method for the solution of stiff and nonstiff differential equations. Zbl 0751.65043
Berzins, M.; Furzeland, R. M.
12
1992
Algorithm 690: Chebyshev polynomial software for elliptic-parabolic systems of PDEs. Zbl 0900.65271
Berzins, M.; Dew, P. M.
12
1991
Mesh quality: A function of geometry, error estimates or both? Zbl 0958.65508
Berzins, M.
11
1999
A 3D unstructured mesh adaptation algorithm for time-dependent shock-dominated problems. Zbl 0881.76074
Speares, W.; Berzins, M.
10
1997
A solution-based triangular and tetrahedral mesh quality indicator. Zbl 0914.65116
Berzins, M.
9
1998
Global error estimation in the method of lines for parabolic equations. Zbl 0659.65081
Berzins, M.
9
1988
Adaptive polynomial interpolation on evenly spaced meshes. Zbl 1133.65007
Berzins, M.
8
2007
Positive cell-centered finite volume discretization methods for hyperbolic equations on irregular meshes. Zbl 0824.65091
Berzins, M.; Ware, J. M.
8
1995
New NAG library software for first-order partial differential equations. Zbl 0888.65109
Pennington, S. V.; Berzins, M.
8
1994
Variable-order finite elements and positivity preservation for hyperbolic PDEs. Zbl 1038.65093
Berzins, M.
7
2004
High-order discontinuous Galerkin method for elastohydrodynamic lubrication line contact problems. Zbl 1077.76045
Lu, H.; Berzins, M.; Goodyer, C. E.; Jimack, P. K.
6
2005
Modified mass matrices and positivity preservation for hyperbolic and parabolic PDEs. Zbl 0986.65091
Berzins, M.
6
2001
MOL solvers for hyperbolic PDEs with source terms. Zbl 0986.65084
Ahmad, I.; Berzins, M.
6
2001
Temporal error control for convection-dominated equations in two space dimensions. Zbl 0830.65090
Berzins, M.
6
1995
Mesh shape and anisotropic elements: Theory and practice. Zbl 0959.65128
Apel, Th.; Berzins, M.; Jimack, P. K.; Kunert, G.; Plaks, A.; Tsukerman, I.; Walkley, M.
5
2000
A \(C^ 1\) interpolant for codes based on backward differentiation formulae. Zbl 0615.65077
Berzins, M.
5
1986
An algorithm for ODEs from atmospheric dispersion problems. Zbl 0889.65085
Ahmad, I.; Berzins, M.
4
1997
Solving convection and convection-reaction problems using the method of lines. Zbl 0857.65095
Berzins, M.; Ware, J. M.
4
1996
Nonlinear data-bounded polynomial approximations and their applications in ENO methods. Zbl 1208.65123
Berzins, Martin
3
2010
Decoupling and balancing of space and time errors in the material point method (MPM). Zbl 1188.74089
Steffen, Michael; Kirby, Robert M.; Berzins, Martin
3
2010
Solving time-dependent PDEs using the material point method, a case study from gas dynamics. Zbl 1423.76371
Tran, L. T.; Kim, J.; Berzins, M.
3
2010
A computational model for organism growth based on surface mesh generation. Zbl 1030.92004
Leung, C. H.; Berzins, M.
3
2003
A comparison of some dynamic load-balancing algorithms for a parallel adaptive flow solver. Zbl 0948.68074
Touheed, N.; Selwood, P.; Jimack, P. K.; Berzins, M.
3
2000
Towards an automatic algorithm for the numerical solution of parabolic partial differential equations using the method of lines. Zbl 0777.65059
Lawson, J.; Berzins, M.
3
1992
Adaptive timestepping for elastohydrodynamic lubrication solvers. Zbl 1110.35065
Goodyer, C. E.; Berzins, M.
2
2006
Preserving positivity for hyperbolic PDEs using variable-order finite elements with bounded polynomials. Zbl 1064.65109
Berzins, M.
2
2005
A positivity preserving finite element method for hyperbolic partial differential equations. Zbl 1157.76351
Hubbard, Matthew; Berzins, Martin
2
2003
A new metric for dynamic load balancing. Zbl 1058.65137
Berzins, M.
2
2000
An adaptive CFD solver for time-dependent environmental flow problems. Zbl 0925.76395
Berzins, M.; Gaskell, P. H.; Sleigh, A.; Speares, W.; Tomlin, A.; Ware, J. M.
2
1995
Reliable finite volume methods for Navier-Stokes equations. Zbl 0876.76058
Berzins, M.; Ware, J. M.
2
1994
A note on \(C^ 0\) Chebyshev methods for parabolic P.D.E.s. Zbl 0611.65081
Berzins, M.; Dew, P. M.
2
1987
Extending the Uintah framework through the petascale modeling of detonation in arrays of high explosive devices. Zbl 1457.76003
Berzins, Martin; Beckvermit, Jacqueline; Harman, Todd; Bezdjian, Andrew; Humphrey, Alan; Meng, Qingyu; Schmidt, John; Wight, Charles
1
2016
Spectral and high order methods for partial differential equations, ICOSAHOM 2014. Selected papers from the ICOSAHOM conference, June 23–27, 2014, Salt Lake City, UT, USA. Zbl 06519530
Kirby, Robert M. (ed.); Berzins, Martin (ed.); Hesthaven, Jan S. (ed.)
1
2015
Using adjoint error estimation techniques for elastohydrodynamic lubrication line contact problems. Zbl 1427.76058
Hart, D. E.; Berzins, M.; Goodyer, C. E.; Jimack, P. K.
1
2011
Adjoint error estimation for EHL-like models. Zbl 1064.76076
Hart, D. E.; Goodyer, C. E.; Berzins, M.; Jimack, P. K.; Scales, L. E.
1
2005
Solution-based mesh quality indicators for triangular and tetrahedral meshes. Zbl 1074.65508
Berzins, Martin
1
2000
A data-bounded quadratic interpolant on triangles and tetrahedra. Zbl 0974.65014
Berzins, Martin
1
2000
Adaptive finite volume methods for time-dependent PDEs. Zbl 0831.65098
Ware, J.; Berzins, M.
1
1995
Reliable finite volume methods for time-dependent partial differential equations. Zbl 0827.65093
Berzins, M.; Ware, J.
1
1994
A generalized Chebyshev method for non-linear parabolic equations in one space variable. Zbl 0471.65077
Berzins, M.; Dew, P. M.
1
1981
Extending the Uintah framework through the petascale modeling of detonation in arrays of high explosive devices. Zbl 1457.76003
Berzins, Martin; Beckvermit, Jacqueline; Harman, Todd; Bezdjian, Andrew; Humphrey, Alan; Meng, Qingyu; Schmidt, John; Wight, Charles
1
2016
Spectral and high order methods for partial differential equations, ICOSAHOM 2014. Selected papers from the ICOSAHOM conference, June 23–27, 2014, Salt Lake City, UT, USA. Zbl 06519530
Kirby, Robert M. (ed.); Berzins, Martin (ed.); Hesthaven, Jan S. (ed.)
1
2015
Using adjoint error estimation techniques for elastohydrodynamic lubrication line contact problems. Zbl 1427.76058
Hart, D. E.; Berzins, M.; Goodyer, C. E.; Jimack, P. K.
1
2011
Nonlinear data-bounded polynomial approximations and their applications in ENO methods. Zbl 1208.65123
Berzins, Martin
3
2010
Decoupling and balancing of space and time errors in the material point method (MPM). Zbl 1188.74089
Steffen, Michael; Kirby, Robert M.; Berzins, Martin
3
2010
Solving time-dependent PDEs using the material point method, a case study from gas dynamics. Zbl 1423.76371
Tran, L. T.; Kim, J.; Berzins, M.
3
2010
Analysis and reduction of quadrature errors in the material point method (MPM). Zbl 1195.74300
Steffen, Michael; Kirby, Robert M.; Berzins, Martin
21
2008
Adaptive polynomial interpolation on evenly spaced meshes. Zbl 1133.65007
Berzins, M.
8
2007
Adaptive timestepping for elastohydrodynamic lubrication solvers. Zbl 1110.35065
Goodyer, C. E.; Berzins, M.
2
2006
High-order discontinuous Galerkin method for elastohydrodynamic lubrication line contact problems. Zbl 1077.76045
Lu, H.; Berzins, M.; Goodyer, C. E.; Jimack, P. K.
6
2005
Preserving positivity for hyperbolic PDEs using variable-order finite elements with bounded polynomials. Zbl 1064.65109
Berzins, M.
2
2005
Adjoint error estimation for EHL-like models. Zbl 1064.76076
Hart, D. E.; Goodyer, C. E.; Berzins, M.; Jimack, P. K.; Scales, L. E.
1
2005
Variable-order finite elements and positivity preservation for hyperbolic PDEs. Zbl 1038.65093
Berzins, M.
7
2004
A computational model for organism growth based on surface mesh generation. Zbl 1030.92004
Leung, C. H.; Berzins, M.
3
2003
A positivity preserving finite element method for hyperbolic partial differential equations. Zbl 1157.76351
Hubbard, Matthew; Berzins, Martin
2
2003
A finite element method for the two-dimensional extended Boussinesq equations. Zbl 1101.76362
Walkley, Mark; Berzins, Martin
12
2002
Modified mass matrices and positivity preservation for hyperbolic and parabolic PDEs. Zbl 0986.65091
Berzins, M.
6
2001
MOL solvers for hyperbolic PDEs with source terms. Zbl 0986.65084
Ahmad, I.; Berzins, M.
6
2001
Mesh shape and anisotropic elements: Theory and practice. Zbl 0959.65128
Apel, Th.; Berzins, M.; Jimack, P. K.; Kunert, G.; Plaks, A.; Tsukerman, I.; Walkley, M.
5
2000
A comparison of some dynamic load-balancing algorithms for a parallel adaptive flow solver. Zbl 0948.68074
Touheed, N.; Selwood, P.; Jimack, P. K.; Berzins, M.
3
2000
A new metric for dynamic load balancing. Zbl 1058.65137
Berzins, M.
2
2000
Solution-based mesh quality indicators for triangular and tetrahedral meshes. Zbl 1074.65508
Berzins, Martin
1
2000
A data-bounded quadratic interpolant on triangles and tetrahedra. Zbl 0974.65014
Berzins, Martin
1
2000
A finite element method for the one-dimensional extended Boussinesq equations. Zbl 0941.76055
Walkley, M.; Berzins, M.
17
1999
Mesh quality: A function of geometry, error estimates or both? Zbl 0958.65508
Berzins, M.
11
1999
An unstructured finite-volume algorithm for predicting flow in rivers and estuaries. Zbl 0964.76051
Sleigh, P. A.; Gaskell, P. H.; Berzins, M.; Wright, N. G.
25
1998
On spatial adaptivity and interpolation when using the method of lines. Zbl 0890.65102
Berzins, Martin; Capon, Philip J.; Jimack, Peter K.
13
1998
A solution-based triangular and tetrahedral mesh quality indicator. Zbl 0914.65116
Berzins, M.
9
1998
A 3D unstructured mesh adaptation algorithm for time-dependent shock-dominated problems. Zbl 0881.76074
Speares, W.; Berzins, M.
10
1997
An algorithm for ODEs from atmospheric dispersion problems. Zbl 0889.65085
Ahmad, I.; Berzins, M.
4
1997
Solving convection and convection-reaction problems using the method of lines. Zbl 0857.65095
Berzins, M.; Ware, J. M.
4
1996
Positive cell-centered finite volume discretization methods for hyperbolic equations on irregular meshes. Zbl 0824.65091
Berzins, M.; Ware, J. M.
8
1995
Temporal error control for convection-dominated equations in two space dimensions. Zbl 0830.65090
Berzins, M.
6
1995
An adaptive CFD solver for time-dependent environmental flow problems. Zbl 0925.76395
Berzins, M.; Gaskell, P. H.; Sleigh, A.; Speares, W.; Tomlin, A.; Ware, J. M.
2
1995
Adaptive finite volume methods for time-dependent PDEs. Zbl 0831.65098
Ware, J.; Berzins, M.
1
1995
New NAG library software for first-order partial differential equations. Zbl 0888.65109
Pennington, S. V.; Berzins, M.
8
1994
Reliable finite volume methods for Navier-Stokes equations. Zbl 0876.76058
Berzins, M.; Ware, J. M.
2
1994
Reliable finite volume methods for time-dependent partial differential equations. Zbl 0827.65093
Berzins, M.; Ware, J.
1
1994
An adaptive theta method for the solution of stiff and nonstiff differential equations. Zbl 0751.65043
Berzins, M.; Furzeland, R. M.
12
1992
Towards an automatic algorithm for the numerical solution of parabolic partial differential equations using the method of lines. Zbl 0777.65059
Lawson, J.; Berzins, M.
3
1992
Balancing space and time errors in the method of lines for parabolic equations. Zbl 0725.65087
Lawson, J.; Berzins, M.; Dew, P. M.
20
1991
Algorithm 690: Chebyshev polynomial software for elliptic-parabolic systems of PDEs. Zbl 0900.65271
Berzins, M.; Dew, P. M.
12
1991
A method for the spatial discretization of parabolic equations in one space variable. Zbl 0701.65065
Skeel, Robert D.; Berzins, Martin
46
1990
Developing software for time-dependent problems using the method of lines and differential-algebraic integrators. Zbl 0679.65071
Berzins, M.; Dew, P. M.; Furzeland, R. M.
18
1989
Global error estimation in the method of lines for parabolic equations. Zbl 0659.65081
Berzins, M.
9
1988
A note on \(C^ 0\) Chebyshev methods for parabolic P.D.E.s. Zbl 0611.65081
Berzins, M.; Dew, P. M.
2
1987
A \(C^ 1\) interpolant for codes based on backward differentiation formulae. Zbl 0615.65077
Berzins, M.
5
1986
A generalized Chebyshev method for non-linear parabolic equations in one space variable. Zbl 0471.65077
Berzins, M.; Dew, P. M.
1
1981
all top 5

Cited by 551 Authors

20 Berzins, Martin
7 Al-Zanaidi, Mansour A.
7 Chawla, Man M.
7 Jimack, Peter K.
6 Moore, Peter K.
5 Flaherty, Joseph E.
4 Alauzet, Frédéric
4 Banks, W. H. H.
4 Dehghan Takht Fooladi, Mehdi
4 Evans, David John
4 Macías-Díaz, Jorge Eduardo
4 Petzold, Linda Ruth
4 Qiu, Shufang
4 Wang, Zewen
4 Zaturska, Maria B.
4 Zhang, Xiong
3 Ancey, Christophe
3 de Vaucorbeil, Alban
3 Du, Qiang
3 Eskilsson, Claes
3 George, Paul Louis
3 Goodyer, Christopher E.
3 Huang, Weizhang
3 Ibrahim, Bashar
3 Lang, Jens
3 Li, Shengtai
3 Liang, Qiuhua
3 Nguyen, Vinh Phu
3 Russell, Robert D.
3 Sze, Kam-Yim
2 Adjerid, Slimane
2 Ahmad, Ishtiaq
2 Ahmed, Sarfraz
2 Aràndiga, Francesc
2 Bazilevs, Yuri
2 Borouchaki, Houman
2 Borthwick, Alistair G. L.
2 Bridges, Craig
2 Brufau, Pilar
2 Cash, Jeff R.
2 Codina, Ramon
2 Dawson, Clint N.
2 Ebadi, Moosa
2 Engsig-Karup, Allan P.
2 Erdem, Arzu
2 Ervin, Vincent J.
2 Ezzaki, Lahcen
2 Faragó, István
2 Frey, Pascal Jean
2 Furzeland, R. M.
2 Garcia-Navarro, Pilar
2 Gray, John Mark Nicholas Timm
2 Guilkey, James E.
2 Hendrickson, Bruce A.
2 Jenkins, Eleanor W.
2 Kazhyken, Kazbek
2 Keast, Patrick
2 Kirby, Robert Mike
2 Kirpichnikova, N. Ya.
2 Korotov, Sergey
2 Li, Zhenquan
2 Liang, Yong
2 Mackerle, Jaroslav
2 Moutsanidis, Georgios
2 Muir, Paul H.
2 Nagarajan, Anand
2 Pamuk, Serdal
2 Pangon, V.
2 Popov, Mikhail Mikhailovich
2 Puri, Ashok
2 Rajagopal, Kumbakonam Ramamani
2 Ricchiuto, Mario
2 Schiesser, William E.
2 Semtchenok, N. M.
2 Soghrati, Soheil
2 Steffen, Michael
2 Tran, Lethuy Thi
2 Vázquez-Cendón, María Elena
2 Vejchodský, Tomáš
2 Verwer, Jan G.
2 Videman, Juha Hans
2 Wang, Rong
2 Ware, J. Mark
2 Zerrik, El Hassan
2 Zhang, Fan
1 Abdel-Aziz, Mohammedi R.
1 Abdel-Rahman, Essam Othman
1 Abedian, Rooholah
1 Adam, Alexandros
1 Aharoni, N.
1 Al-Aslab, M. G.
1 Al-Muslimawi, Alaa H.
1 Alvarez-Vázquez, Lino Jose
1 Alvord, Ellsworth C. jun.
1 Andersen, Lars Nørvang
1 Andersen, S. J.
1 Andreev, Vsevolod V.
1 Athanassoulis, Gerassimos A.
1 Aubry, Romain
1 Augarde, Charles Edward
...and 451 more Authors
all top 5

Cited in 83 Serials

35 Applied Numerical Mathematics
24 Journal of Computational Physics
20 Computer Methods in Applied Mechanics and Engineering
16 Journal of Computational and Applied Mathematics
14 International Journal for Numerical Methods in Fluids
13 Computers and Fluids
13 Computers & Mathematics with Applications
12 Applied Mathematics and Computation
12 Applied Mathematical Modelling
6 Mathematics of Computation
6 International Journal of Computer Mathematics
5 International Journal for Numerical Methods in Engineering
4 Journal of Fluid Mechanics
4 Computational Mechanics
3 Bulletin of Mathematical Biology
3 Mathematics and Computers in Simulation
3 Mathematical and Computer Modelling
3 Journal of Scientific Computing
3 Mathematical Biosciences and Engineering
2 International Journal of Modern Physics A
2 Acta Mechanica
2 Journal of Mathematical Biology
2 BIT
2 Numerische Mathematik
2 Numerical Methods for Partial Differential Equations
2 International Journal of Computational Geometry & Applications
2 Numerical Algorithms
2 SIAM Journal on Scientific Computing
2 Journal of Mathematical Sciences (New York)
2 Journal of Mathematical Chemistry
2 International Journal of Computational Fluid Dynamics
2 Computational Geosciences
2 Engineering Computations
2 Archives of Computational Methods in Engineering
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 International Journal of Engineering Science
1 International Journal of Heat and Mass Transfer
1 Indian Journal of Pure & Applied Mathematics
1 Israel Journal of Mathematics
1 Journal of Engineering Mathematics
1 Journal of the Franklin Institute
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Physics
1 Mathematical Biosciences
1 Mathematical Methods in the Applied Sciences
1 Transport Theory and Statistical Physics
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Physics of Fluids, A
1 Chaos, Solitons and Fractals
1 SIAM Journal on Numerical Analysis
1 Circuits, Systems, and Signal Processing
1 Stochastic Analysis and Applications
1 Applied Mathematics Letters
1 Applications of Mathematics
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Communications in Numerical Methods in Engineering
1 Computational and Applied Mathematics
1 Journal of Inverse and Ill-Posed Problems
1 Advances in Computational Mathematics
1 Journal of Difference Equations and Applications
1 Discrete and Continuous Dynamical Systems
1 Mathematical Problems in Engineering
1 Computing and Visualization in Science
1 Functional Differential Equations
1 Abstract and Applied Analysis
1 Journal of Inequalities and Applications
1 Chaos
1 European Journal of Mechanics. B. Fluids
1 International Journal of Applied Mathematics and Computer Science
1 Journal of Dynamical and Control Systems
1 Matematicheskoe Modelirovanie
1 Concurrency and Computation: Practice & Experience
1 Foundations of Computational Mathematics
1 International Journal of Computational Methods
1 Acta Numerica
1 Science in China. Series G
1 Inverse Problems in Science and Engineering
1 Journal of Biological Dynamics
1 International Journal for Numerical Methods in Biomedical Engineering
1 Statistics & Risk Modeling
1 Journal of Function Spaces
1 Control Theory and Technology
1 AIMS Mathematics

Citations by Year