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## Rose, Donald J.

Compute Distance To:
 Author ID: rose.donald-j Published as: Rose, D.; Rose, D. J.; Rose, Donald J.
 Documents Indexed: 51 Publications since 1954, including 1 Book
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#### Co-Authors

 8 single-authored 14 Bank, Randolph E. 6 Tarjan, Robert Endre 5 Fichtner, Wolfgang 4 Lanzkron, Paul J. 3 Bunch, James R. 3 Coughran, William M. jun. 3 Whitten, Gregory F. 2 Henriquez, Craig S. 2 Smith, R. Kent 1 Bjørstad, Petter Erling 1 Edenbrandt, Anders 1 Gilbert, John R. 1 Greenside, Henry S. 1 Grosse, Eric H. 1 Haskins, Loren 1 Hoffman, Alan J. 1 Hooke, N. 1 Jerome, Joseph W. 1 Lipton, Richard J. 1 Lueker, George S. 1 Martin, Michael S. 1 Pormann, John B. 1 Sampson, Kevin J. 1 Schryer, Norman L. 1 Shao, Hai 1 Sherman, A. Kh. 1 Sherman, Andrew H. 1 Szyld, Daniel B. 1 Wilkes, James T.
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#### Serials

 6 SIAM Journal on Numerical Analysis 4 SIAM Journal on Scientific and Statistical Computing 2 Computers and Structures 2 Journal of Mathematical Analysis and Applications 2 Mathematical Biosciences 2 Numerische Mathematik 2 SIAM Journal on Computing 2 SIAM Journal on Algebraic and Discrete Methods 1 American Mathematical Monthly 1 Discrete Mathematics 1 Mathematics of Computation 1 Journal of the Association for Computing Machinery 1 Panamerican Mathematical Journal 1 Communications of the ACM 1 Linear Algebra and its Applications 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Scientific Computing
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#### Fields

 36 Numerical analysis (65-XX) 14 Partial differential equations (35-XX) 11 Combinatorics (05-XX) 9 Optics, electromagnetic theory (78-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Computer science (68-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

38 Publications have been cited 1,284 times in 1,118 Documents Cited by Year
Algorithmic aspects of vertex elimination on graphs. Zbl 0353.65019
Rose, Donald J.; Tarjan, R. Endre; Lueker, George S.
1976
Some error estimates for the box method. Zbl 0634.65105
Bank, Randolph E.; Rose, Donald J.
1987
Triangulated graphs and the elimination process. Zbl 0216.02602
Rose, Donald J.
1970
Generalized nested dissection. Zbl 0435.65021
Lipton, Richard J.; Rose, Donald J.; Tarjan, Robert Endre
1979
On simple characterizations of k-trees. Zbl 0285.05128
Rose, Donald J.
1974
Convergence of nested classical iterative methods for linear systems. Zbl 0718.65022
Lanzkron, Paul J.; Rose, Donald J.; Szyld, Daniel B.
1991
Numerical methods for semiconductor device simulation. Zbl 0521.65086
Bank, Randolph E.; Rose, Donald J.; Fichtner, Wolfgang
1983
Global approximate Newton methods. Zbl 0442.65034
Bank, R. E.; Rose, D. J.
1981
A graph-theoretic study of the numerical solution of sparse positive definite systems of linear equations. Zbl 0266.65028
Rose, Donald J.
1972
Algorithmic aspects of vertex elimination on directed graphs. Zbl 0377.65013
Rose, Donald J.; Tarjan, Robert Endre
1978
Marching algorithms for elliptic boundary value problems. I: The constant coefficient case. Zbl 0382.65051
Bank, Randolph E.; Rose, Donald J.
1977
Analysis of a multilevel iterative method for nonlinear finite element equations. Zbl 0496.65060
Bank, Randolph E.; Rose, Donald J.
1982
An analysis of approximate nonlinear elimination. Zbl 0855.65054
Lanzkron, Paul J.; Rose, Donald J.; Wilkes, James T.
1996
Convergent regular splittings for singular M-matrices. Zbl 0547.65031
Rose, Donald J.
1984
A separator theorem for chordal graphs. Zbl 0551.05049
Gilbert, John R.; Rose, Donald J.; Edenbrandt, Anders
1984
Complexity bounds for regular finite difference and finite element grids. Zbl 0261.65026
Hoffman, Alan J.; Martin, Michael S.; Rose, Donald J.
1973
Sparse matrix computations. Proceedings of the symposium on sparse matrix computations at Argonne National Laboratory on September 9-11, 1975. Zbl 0333.00007
Bunch, James R. (ed.); Rose, Donald J. (ed.)
1976
Parameter selection for Newton-like methods applicable to nonlinear partial differential equations. Zbl 0466.65057
Bank, R. E.; Rose, D. J.
1980
Algorithmic aspects of vertex elimination. Zbl 0382.05049
Rose, Donald J.; Tarjan, R. Endre
1975
Toward characterization of perfect elimination digraphs. Zbl 0288.05115
1973
Partitioning, tearing and modification of sparse linear systems. Zbl 0294.15003
Bunch, James R.; Rose, Donald J.
1974
An $$O(n^2)$$ method for solving constant coefficient boundary value problems in two dimensions. Zbl 0319.65029
Bank, Randolph E.; Rose, Donald J.
1975
Linear algebraic transformations of the bidomain equations: Implications for numerical methods. Zbl 0799.92001
Hooke, N.; Henriquez, C. S.; Lanzkron, P.; Rose, D.
1994
An algorithm for solving a special class of tridiagonal systems of linear equations. Zbl 0175.15805
Rose, Donald J.
1969
Semiconductor device simulation. Zbl 0521.65085
Fichtner, Wolfgang; Rose, Donald J.; Bank, Randolph E.
1983
Matrix identities of the fast Fourier transform. Zbl 0463.15016
Rose, Donald J.
1980
Some aspects of semiconductor device simulation. Zbl 0677.65125
Smith, R. K.; Coughran, W. M. jun.; Fichtner, W.; Rose, D. J.; Bank, R. E.
1986
The transition from free to ambipolar diffusion. Zbl 0055.23701
Allis, W. P.; Rose, D. J.
1954
Analytical and numerical aspects of semiconductor device modeling. Zbl 0505.65059
Bank, Randolph E.; Jerome, Joseph W.; Rose, Donald J.
1982
Algorithms and software for in-core factorization of sparse symmetric positive definite matrices. Zbl 0442.65018
Rose, D. J.; Whitten, G. G.; Sherman, A. H.; Tarjan, R. E.
1980
A recursive analysis of dissection strategies. Zbl 0356.65032
Rose, Donald J.; Whitten, Gregory F.
1976
Variation diminishing splines in simulation. Zbl 0625.65004
Coughran, William M. jun.; Grosse, Eric; Rose, Donald J.
1986
Collectionwise weak continuity duals. Zbl 1199.54081
Beddow, M.; Rose, D.
2009
On the complexity of sparse Gaussian elimination via bordering. Zbl 0701.65018
Bank, Randolph E.; Rose, Donald J.
1990
Another proposition on the recoverability of cardinal utility. Zbl 0542.90007
Polemarchakis, H. M.; Rose, D.
1984
On the numerical solution of nonlinear elliptic PDEs arising from semiconductor device modelling. Zbl 0486.65074
Fichtner, Wolfgang; Rose, Donald J.
1981
Extrapolated fast direct algorithms for elliptic boundary value problems. Zbl 0385.65055
Bank, Randolph E.; Rose, Donald J.
1976
Anomalous diffusion of a plasma across a magnetic field. Zbl 0114.45203
Yoshikawa, S.; Rose, D. J.
1962
Collectionwise weak continuity duals. Zbl 1199.54081
Beddow, M.; Rose, D.
2009
An analysis of approximate nonlinear elimination. Zbl 0855.65054
Lanzkron, Paul J.; Rose, Donald J.; Wilkes, James T.
1996
Linear algebraic transformations of the bidomain equations: Implications for numerical methods. Zbl 0799.92001
Hooke, N.; Henriquez, C. S.; Lanzkron, P.; Rose, D.
1994
Convergence of nested classical iterative methods for linear systems. Zbl 0718.65022
Lanzkron, Paul J.; Rose, Donald J.; Szyld, Daniel B.
1991
On the complexity of sparse Gaussian elimination via bordering. Zbl 0701.65018
Bank, Randolph E.; Rose, Donald J.
1990
Some error estimates for the box method. Zbl 0634.65105
Bank, Randolph E.; Rose, Donald J.
1987
Some aspects of semiconductor device simulation. Zbl 0677.65125
Smith, R. K.; Coughran, W. M. jun.; Fichtner, W.; Rose, D. J.; Bank, R. E.
1986
Variation diminishing splines in simulation. Zbl 0625.65004
Coughran, William M. jun.; Grosse, Eric; Rose, Donald J.
1986
Convergent regular splittings for singular M-matrices. Zbl 0547.65031
Rose, Donald J.
1984
A separator theorem for chordal graphs. Zbl 0551.05049
Gilbert, John R.; Rose, Donald J.; Edenbrandt, Anders
1984
Another proposition on the recoverability of cardinal utility. Zbl 0542.90007
Polemarchakis, H. M.; Rose, D.
1984
Numerical methods for semiconductor device simulation. Zbl 0521.65086
Bank, Randolph E.; Rose, Donald J.; Fichtner, Wolfgang
1983
Semiconductor device simulation. Zbl 0521.65085
Fichtner, Wolfgang; Rose, Donald J.; Bank, Randolph E.
1983
Analysis of a multilevel iterative method for nonlinear finite element equations. Zbl 0496.65060
Bank, Randolph E.; Rose, Donald J.
1982
Analytical and numerical aspects of semiconductor device modeling. Zbl 0505.65059
Bank, Randolph E.; Jerome, Joseph W.; Rose, Donald J.
1982
Global approximate Newton methods. Zbl 0442.65034
Bank, R. E.; Rose, D. J.
1981
On the numerical solution of nonlinear elliptic PDEs arising from semiconductor device modelling. Zbl 0486.65074
Fichtner, Wolfgang; Rose, Donald J.
1981
Parameter selection for Newton-like methods applicable to nonlinear partial differential equations. Zbl 0466.65057
Bank, R. E.; Rose, D. J.
1980
Matrix identities of the fast Fourier transform. Zbl 0463.15016
Rose, Donald J.
1980
Algorithms and software for in-core factorization of sparse symmetric positive definite matrices. Zbl 0442.65018
Rose, D. J.; Whitten, G. G.; Sherman, A. H.; Tarjan, R. E.
1980
Generalized nested dissection. Zbl 0435.65021
Lipton, Richard J.; Rose, Donald J.; Tarjan, Robert Endre
1979
Algorithmic aspects of vertex elimination on directed graphs. Zbl 0377.65013
Rose, Donald J.; Tarjan, Robert Endre
1978
Marching algorithms for elliptic boundary value problems. I: The constant coefficient case. Zbl 0382.65051
Bank, Randolph E.; Rose, Donald J.
1977
Algorithmic aspects of vertex elimination on graphs. Zbl 0353.65019
Rose, Donald J.; Tarjan, R. Endre; Lueker, George S.
1976
Sparse matrix computations. Proceedings of the symposium on sparse matrix computations at Argonne National Laboratory on September 9-11, 1975. Zbl 0333.00007
Bunch, James R. (ed.); Rose, Donald J. (ed.)
1976
A recursive analysis of dissection strategies. Zbl 0356.65032
Rose, Donald J.; Whitten, Gregory F.
1976
Extrapolated fast direct algorithms for elliptic boundary value problems. Zbl 0385.65055
Bank, Randolph E.; Rose, Donald J.
1976
Algorithmic aspects of vertex elimination. Zbl 0382.05049
Rose, Donald J.; Tarjan, R. Endre
1975
An $$O(n^2)$$ method for solving constant coefficient boundary value problems in two dimensions. Zbl 0319.65029
Bank, Randolph E.; Rose, Donald J.
1975
On simple characterizations of k-trees. Zbl 0285.05128
Rose, Donald J.
1974
Partitioning, tearing and modification of sparse linear systems. Zbl 0294.15003
Bunch, James R.; Rose, Donald J.
1974
Complexity bounds for regular finite difference and finite element grids. Zbl 0261.65026
Hoffman, Alan J.; Martin, Michael S.; Rose, Donald J.
1973
Toward characterization of perfect elimination digraphs. Zbl 0288.05115
1973
A graph-theoretic study of the numerical solution of sparse positive definite systems of linear equations. Zbl 0266.65028
Rose, Donald J.
1972
Triangulated graphs and the elimination process. Zbl 0216.02602
Rose, Donald J.
1970
An algorithm for solving a special class of tridiagonal systems of linear equations. Zbl 0175.15805
Rose, Donald J.
1969
Anomalous diffusion of a plasma across a magnetic field. Zbl 0114.45203
Yoshikawa, S.; Rose, D. J.
1962
The transition from free to ambipolar diffusion. Zbl 0055.23701
Allis, W. P.; Rose, D. J.
1954
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#### Cited by 1,604 Authors

 18 Corneil, Derek Gordon 18 Zou, Qingsong 17 Berry, Anne 17 Dragan, Feodor F. 15 Heggernes, Pinar 13 Luo, Zhendong 12 Bi, Chunjia 12 Brandstädt, Andreas 11 Cao, Zhihao 11 Spinrad, Jeremy P. 10 Chen, Chuanjun 10 Habib, Michel A. 10 Li, Yonghai 10 Pan, Victor Yakovlevich 9 Gavril, Fanica 9 Paul, Christophe 9 Proskurowski, Andrzej 9 Sacco, Riccardo 9 Szyld, Daniel B. 9 Zhang, Zhimin 8 Kratsch, Dieter 8 Li, Jian 8 Rui, Hongxing 8 Sritharan, R. 8 Todinca, Ioan 8 Villanger, Yngve 8 Yang, Min 7 Bank, Randolph E. 7 Bodlaender, Hans L. 7 Chen, Zhangxin 7 Gilbert, John R. 7 He, Yinnian 7 Johnson, Charles Royal 7 Köhler, Ekkehard 7 Liu, Zhongyun 7 Markenzon, Lilian 7 Papadopoulos, Charis 7 Simonet, Geneviève 7 Vohralík, Martin 7 Wu, Jiming 6 Arnborg, Stefan 6 Bai, Zhongzhi 6 Chang, Maw-Shang 6 Climent, Joan-Josep 6 Dahlhaus, Elias 6 Fomin, Fedor V. 6 Huang, Jing 6 Jerome, Joseph W. 6 Klavík, Pavel 6 Meister, Daniel 6 Migallón, Violeta 6 Olariu, Stephan 6 Otachi, Yota 6 Penadés, José 6 Perea, Carmen 6 Reif, John H. 6 Rose, Donald J. 6 Wittum, Gabriel 5 Bordat, Jean-Paul 5 Chepoi, Victor D. 5 Hoàng, Chính T. 5 Lazarov, Raytcho D. 5 Lee, Chuan-Min 5 Li, Hong 5 Lin, Yanping 5 Maffray, Frédéric 5 Mancini, Federico 5 McConnell, Ross M. 5 Nikolopoulos, Stavros D. 5 Telle, Jan Arne 5 Vassilevski, Panayot Spirov 5 Xu, Jinchao 5 Yang, Haijian 4 Axelsson, Axel Owe Holger 4 Bharadwaj, Kamal K. 4 Cai, Xiao-Chuan 4 Cao, Waixiang 4 Chang, Gerard Jennhwa 4 Chen, Zhongying 4 Colbourn, Charles J. 4 Eppstein, David Arthur 4 Eschen, Elaine M. 4 Farber, Martin 4 George, Alan 4 Gonzales, Christophe 4 Kadalbajoo, Mohan K. 4 Kloks, Ton 4 Kratochvíl, Jan 4 Laurent, Monique 4 Lévêque, Benjamin 4 Liu, Jinn-Liang 4 Lundgren, J. Richard 4 Lv, Junliang 4 Marek, Ivo 4 Nicolai, Falk 4 Palios, Leonidas 4 Panda, Bhawani Sankar 4 Reusken, Arnold 4 Rote, Günter 4 Sigayret, Alain ...and 1,504 more Authors
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#### Cited in 211 Serials

 110 Discrete Applied Mathematics 55 Theoretical Computer Science 47 Discrete Mathematics 47 Journal of Computational and Applied Mathematics 45 Linear Algebra and its Applications 42 Numerische Mathematik 38 Applied Mathematics and Computation 35 Information Processing Letters 32 Algorithmica 23 Journal of Computational Physics 21 Mathematics of Computation 20 Numerical Methods for Partial Differential Equations 18 Computers & Mathematics with Applications 18 Computer Methods in Applied Mechanics and Engineering 18 Applied Numerical Mathematics 17 Journal of Scientific Computing 16 Computing 16 SIAM Journal on Algebraic and Discrete Methods 13 SIAM Journal on Scientific Computing 12 Journal of Mathematical Analysis and Applications 12 Journal of Computer and System Sciences 11 SIAM Journal on Discrete Mathematics 11 International Journal of Computer Mathematics 11 Advances in Computational Mathematics 9 BIT 9 Applied Mathematics Letters 8 Artificial Intelligence 8 SIAM Journal on Numerical Analysis 7 Journal of Graph Theory 7 Numerical Functional Analysis and Optimization 6 Networks 6 Graphs and Combinatorics 6 International Journal of Approximate Reasoning 6 COMPEL 6 Computational Statistics and Data Analysis 6 Journal of Combinatorial Optimization 5 Calcolo 5 Mathematical Programming. Series A. Series B 5 Journal of Discrete Algorithms 4 Mathematical Methods in the Applied Sciences 4 Journal of Combinatorial Theory. Series B 4 Operations Research Letters 4 RAIRO. Modélisation Mathématique et Analyse Numérique 4 Discrete & Computational Geometry 4 SIAM Journal on Matrix Analysis and Applications 4 Numerical Algorithms 4 Numerical Linear Algebra with Applications 4 The Electronic Journal of Combinatorics 4 Computing and Visualization in Science 4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Computers and Fluids 3 Journal of the Franklin Institute 3 Mathematical Biosciences 3 International Journal for Numerical Methods in Engineering 3 Journal of Soviet Mathematics 3 Journal of Symbolic Computation 3 Japan Journal of Industrial and Applied Mathematics 3 Applications of Mathematics 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 European Journal of Operational Research 3 Computational Optimization and Applications 3 Communications in Numerical Methods in Engineering 3 Optimization Methods & Software 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Physical Review, II. Series 3 Algorithms 3 Computer Science Review 2 Computer Physics Communications 2 Fluid Dynamics 2 International Journal for Numerical Methods in Fluids 2 Linear and Multilinear Algebra 2 Advances in Mathematics 2 Czechoslovak Mathematical Journal 2 Kybernetika 2 Mathematical Programming 2 Operations Research 2 Transactions of the American Mathematical Society 2 Cybernetics 2 Advances in Applied Mathematics 2 Order 2 Acta Mathematicae Applicatae Sinica. English Series 2 Information and Computation 2 Computers & Operations Research 2 Journal of Economic Dynamics & Control 2 Annals of Operations Research 2 Computational Geometry 2 International Journal of Foundations of Computer Science 2 SIAM Review 2 Applied Mathematics. Series B (English Edition) 2 Combinatorics, Probability and Computing 2 Computational and Applied Mathematics 2 Annals of Mathematics and Artificial Intelligence 2 Discussiones Mathematicae. Graph Theory 2 Bernoulli 2 Theory of Computing Systems 2 International Journal of Numerical Modelling 2 RAIRO. Operations Research 2 Journal of Systems Science and Complexity 2 Journal of Applied Mathematics 2 Journal of Applied Mathematics and Computing ...and 111 more Serials
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#### Cited in 50 Fields

 516 Numerical analysis (65-XX) 419 Combinatorics (05-XX) 321 Computer science (68-XX) 215 Partial differential equations (35-XX) 83 Fluid mechanics (76-XX) 69 Operations research, mathematical programming (90-XX) 52 Linear and multilinear algebra; matrix theory (15-XX) 34 Optics, electromagnetic theory (78-XX) 26 Biology and other natural sciences (92-XX) 25 Statistics (62-XX) 24 Statistical mechanics, structure of matter (82-XX) 21 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 20 Probability theory and stochastic processes (60-XX) 17 Mechanics of deformable solids (74-XX) 13 Operator theory (47-XX) 12 Ordinary differential equations (34-XX) 10 Order, lattices, ordered algebraic structures (06-XX) 10 Convex and discrete geometry (52-XX) 10 Information and communication theory, circuits (94-XX) 7 Commutative algebra (13-XX) 6 Mathematical logic and foundations (03-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Systems theory; control (93-XX) 4 Quantum theory (81-XX) 4 Geophysics (86-XX) 3 Real functions (26-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 History and biography (01-XX) 2 Group theory and generalizations (20-XX) 2 Potential theory (31-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Differential geometry (53-XX) 2 Manifolds and cell complexes (57-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX)