# zbMATH — the first resource for mathematics

## Pruess, Steven A.

Compute Distance To:
 Author ID: pruess.steven-a Published as: Pruess, S.; Pruess, S. A.; Pruess, Steven; Pruess, Steven A.
 Documents Indexed: 38 Publications since 1972, including 1 Book
all top 5

#### Co-Authors

 13 single-authored 15 Fulton, Charles T. 5 Pearson, David William 2 Allen, Richard C. jun. 2 Jin, Hongsung 2 Wu, Limin 1 Alexander, Winser E. 1 Eastham, Michael S. P. 1 Osborne, Michael Robert 1 Shampine, Lawrence Fred 1 Shoaff, William D. 1 Womersley, Rob S. 1 Xie, Yuantao
all top 5

#### Serials

 4 Journal of Mathematical Analysis and Applications 3 Journal of Computational and Applied Mathematics 3 SIAM Journal on Numerical Analysis 2 IMA Journal of Numerical Analysis 2 Mathematics of Computation 2 ACM Transactions on Mathematical Software 2 Journal of Approximation Theory 2 SIAM Journal on Scientific and Statistical Computing 1 Journal of the Australian Mathematical Society, Series B 1 Journal of Computational Physics 1 IEEE Transactions on Circuits and Systems 1 Applied Numerical Mathematics 1 Journal of Applied Mathematics and Stochastic Analysis 1 SIAM Review 1 SIAM Journal on Scientific Computing 1 Discrete and Continuous Dynamical Systems 1 Parallel Algorithms and Applications
all top 5

#### Fields

 24 Numerical analysis (65-XX) 20 Ordinary differential equations (34-XX) 5 Approximations and expansions (41-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

31 Publications have been cited 288 times in 224 Documents Cited by Year
Estimating the eigenvalues of Sturm-Liouville problems by approximating the differential equation. Zbl 0259.65078
Pruess, Steven
1973
Properties of splines in tension. Zbl 0327.41009
Pruess, Steven
1976
Eigenvalue and eigenfunction asymptotics for regular Sturm-Liouville problems. Zbl 0812.34073
Fulton, Charles T.; Pruess, Steven A.
1994
Alternatives to the exponential spline in tension. Zbl 0438.65011
Pruess, Steven
1979
Fundamentals of numerical computing. Zbl 0904.65001
Shampine, L. F.; Allen, R. C. jun.; Pruess, S.
1997
Numerical methods for a singular eigenvalue problem with eigenparameter in the boundary conditions. Zbl 0464.65056
Fulton, Charles T.; Pruess, Steven
1979
On spline basis selection for solving differential equations. Zbl 0525.65060
Ascher, U.; Pruess, S.; Russell, R. D.
1983
Shape preserving $$C^ 2$$ cubic spline interpolation. Zbl 0786.65009
Pruess, Steven
1993
High order approximation to Sturm-Liouville eigenvalues. Zbl 0298.65058
Pruess, S.
1975
Solving linear boundary value problems by approximating the coefficients. Zbl 0293.65057
Pruess, Steven A.
1973
An asymptotic numerical method for a class of singular Sturm-Liouville problems. Zbl 0842.65050
Pruess, Steven; Fulton, Charles T.; Xie, Yuantao
1995
Interpolation schemes for collocation solutions of two point boundary value problems. Zbl 0635.65098
Pruess, Steven
1986
The computation of spectral density functions for singular Sturm-Liouville problems involving simple continuous spectra. Zbl 0920.65051
Fulton, C. T.; Pruess, S.
1998
Computing the spectral function for singular Sturm–Liouville problems. Zbl 1064.65075
Fulton, Charles; Pearson, David; Pruess, Steven
2005
An algorithm for computing smoothing splines in tension. Zbl 0375.65007
Pruess, S.
1978
Using the SLEDGE package on Sturm-Lioville problems having nonempty essential spectra. Zbl 0884.65089
Eastham, Michael S. P.; Fulton, Charles T.; Pruess, Steven
1996
A stable high-order interpolation scheme for superconvergent data. Zbl 0922.65061
Pruess, Steven; Jin, Hongsung
1996
An analysis of an inverse problem in ordinary differential equations. Zbl 0471.65064
Allen, Richard C.; Pruess, Steven A.
1981
New characterizations of spectral density functions for singular Sturm-Liouville problems. Zbl 1153.65079
Fulton, Charles; Pearson, David; Pruess, Steven
2008
Estimating spectral density functions for Sturm-Liouville problems with two singular endpoints. Zbl 1300.65056
Fulton, Charles; Pearson, David; Pruess, Steven
2014
Efficient calculation of spectral density functions for specific classes of singular Sturm-Liouville problems. Zbl 1163.65056
Fulton, Charles; Pearson, David; Pruess, Steven
2008
Uniformly superconvergent approximations for linear two-point boundary value problems. Zbl 0910.65056
Jin, Hong Sung; Pruess, Steven
1998
Parallel computation of Sturm-Liouville spectral density functions. Zbl 1049.68956
Fulton, Charles; Pruess, Steven; Shoaff, William
1994
Concise representation of generalised gradients. Zbl 0596.49012
Osborne, M. R.; Pruess, S. A.; Womersley, R. S.
1986
Estimating the eigenvalues of Sturm-Liouville problems by approximating the differential equation. Zbl 0224.65025
Pruess, Steven
1972
Accurate Sturm-Liouville eigenfunction computation in mathematical software. Zbl 0880.34027
Pruess, Steven
1997
Error analysis in the approximation of Sturm-Liouville spectral density functions. Zbl 0869.65051
Pruess, Steven; Fulton, Charles T.
1996
Erratum: Eigenvalue and eigenfunction asymptotics for regular Sturm- Liouville problems. Zbl 0822.34068
Fulton, Charles T.; Pruess, Steven A.
1995
Shape-preserving interpolation by parametric piecewise cubic polynomials. Zbl 0739.65007
Ferguson, J. C.; Pruess, S.
1991
Stability analysis of two-dimensional digital recursive filters. Zbl 0425.93047
Alexander, Winser E.; Pruess, Steven A.
1980
The approximation of linear functionals and $$h^2$$-extrapolation. Zbl 0307.41003
Pruess, Steven
1975
Estimating spectral density functions for Sturm-Liouville problems with two singular endpoints. Zbl 1300.65056
Fulton, Charles; Pearson, David; Pruess, Steven
2014
New characterizations of spectral density functions for singular Sturm-Liouville problems. Zbl 1153.65079
Fulton, Charles; Pearson, David; Pruess, Steven
2008
Efficient calculation of spectral density functions for specific classes of singular Sturm-Liouville problems. Zbl 1163.65056
Fulton, Charles; Pearson, David; Pruess, Steven
2008
Computing the spectral function for singular Sturm–Liouville problems. Zbl 1064.65075
Fulton, Charles; Pearson, David; Pruess, Steven
2005
The computation of spectral density functions for singular Sturm-Liouville problems involving simple continuous spectra. Zbl 0920.65051
Fulton, C. T.; Pruess, S.
1998
Uniformly superconvergent approximations for linear two-point boundary value problems. Zbl 0910.65056
Jin, Hong Sung; Pruess, Steven
1998
Fundamentals of numerical computing. Zbl 0904.65001
Shampine, L. F.; Allen, R. C. jun.; Pruess, S.
1997
Accurate Sturm-Liouville eigenfunction computation in mathematical software. Zbl 0880.34027
Pruess, Steven
1997
Using the SLEDGE package on Sturm-Lioville problems having nonempty essential spectra. Zbl 0884.65089
Eastham, Michael S. P.; Fulton, Charles T.; Pruess, Steven
1996
A stable high-order interpolation scheme for superconvergent data. Zbl 0922.65061
Pruess, Steven; Jin, Hongsung
1996
Error analysis in the approximation of Sturm-Liouville spectral density functions. Zbl 0869.65051
Pruess, Steven; Fulton, Charles T.
1996
An asymptotic numerical method for a class of singular Sturm-Liouville problems. Zbl 0842.65050
Pruess, Steven; Fulton, Charles T.; Xie, Yuantao
1995
Erratum: Eigenvalue and eigenfunction asymptotics for regular Sturm- Liouville problems. Zbl 0822.34068
Fulton, Charles T.; Pruess, Steven A.
1995
Eigenvalue and eigenfunction asymptotics for regular Sturm-Liouville problems. Zbl 0812.34073
Fulton, Charles T.; Pruess, Steven A.
1994
Parallel computation of Sturm-Liouville spectral density functions. Zbl 1049.68956
Fulton, Charles; Pruess, Steven; Shoaff, William
1994
Shape preserving $$C^ 2$$ cubic spline interpolation. Zbl 0786.65009
Pruess, Steven
1993
Shape-preserving interpolation by parametric piecewise cubic polynomials. Zbl 0739.65007
Ferguson, J. C.; Pruess, S.
1991
Interpolation schemes for collocation solutions of two point boundary value problems. Zbl 0635.65098
Pruess, Steven
1986
Concise representation of generalised gradients. Zbl 0596.49012
Osborne, M. R.; Pruess, S. A.; Womersley, R. S.
1986
On spline basis selection for solving differential equations. Zbl 0525.65060
Ascher, U.; Pruess, S.; Russell, R. D.
1983
An analysis of an inverse problem in ordinary differential equations. Zbl 0471.65064
Allen, Richard C.; Pruess, Steven A.
1981
Stability analysis of two-dimensional digital recursive filters. Zbl 0425.93047
Alexander, Winser E.; Pruess, Steven A.
1980
Alternatives to the exponential spline in tension. Zbl 0438.65011
Pruess, Steven
1979
Numerical methods for a singular eigenvalue problem with eigenparameter in the boundary conditions. Zbl 0464.65056
Fulton, Charles T.; Pruess, Steven
1979
An algorithm for computing smoothing splines in tension. Zbl 0375.65007
Pruess, S.
1978
Properties of splines in tension. Zbl 0327.41009
Pruess, Steven
1976
High order approximation to Sturm-Liouville eigenvalues. Zbl 0298.65058
Pruess, S.
1975
The approximation of linear functionals and $$h^2$$-extrapolation. Zbl 0307.41003
Pruess, Steven
1975
Estimating the eigenvalues of Sturm-Liouville problems by approximating the differential equation. Zbl 0259.65078
Pruess, Steven
1973
Solving linear boundary value problems by approximating the coefficients. Zbl 0293.65057
Pruess, Steven A.
1973
Estimating the eigenvalues of Sturm-Liouville problems by approximating the differential equation. Zbl 0224.65025
Pruess, Steven
1972
all top 5

#### Cited by 290 Authors

 10 Pruess, Steven A. 8 Fulton, Charles T. 6 Eastham, Michael S. P. 5 Ao, Jijun 5 Chanane, Bilal 5 Jódar Sanchez, Lucas Antonio 4 Boumenir, Amin A. 4 Cash, Jeff R. 4 Danumjaya, Palla 4 El-Daou, Mohamed K. 4 Ibáñez González, Jacinto Javier 4 Makarov, Volodymyr Leonidovych 4 Sapidis, Nickolas S. 3 Adiguzelov, Ehliman 3 Amodio, Pierluigi 3 Bhal, Santosh Kumar 3 Brown, B. Malcolm 3 Fairweather, Graeme 3 Gao, Chenghua 3 Han, Xuli 3 Hayter, Anthony J. 3 Kadalbajoo, Mohan K. 3 Li, Lingfei 3 Osilenker, Boris P. 3 Patidar, Kailash C. 3 Pearson, David William 3 Schmidt, Jochen Wilhelm 3 Sezer, Yonca 3 Shampine, Lawrence Fred 3 Sun, Jiong 2 Aceto, Lidia 2 Almenar, Pedro 2 Anderssen, Robert Scott 2 Arora, Urvashi 2 Aydin, Kemal 2 Bakşi, Özlem 2 Carlson, Robert C. 2 Chand, Arya Kumar Bedabrata 2 de Hoog, Frank Robert 2 Finden, W. F. 2 Gabrielides, Nikolaos C. 2 Gavrilyuk, Ivan P. 2 Gosse, Laurent 2 Gül, Erdal 2 Harris, Bernard J. 2 Hernández, Vicente G. 2 Kaklis, Panagiotis D. 2 Karayel, Serpil Ṣengül 2 Kounchev, Ognyan Ivanov 2 Kumar, Mukesh 2 Ledoux, Veerle 2 Li, Xiaolong 2 Lin, Yueqiong 2 Linetsky, Vadim 2 Marletta, Marco 2 Mattheij, Robert M. M. 2 Mazure, Marie-Laurence 2 McCormack, D. K. R. M. 2 Mohanty, Ranjan Kumar 2 Ortiz, Eduardo L. 2 Pani, Amiya Kumar 2 Paprzycki, Marcin 2 Pryce, John D. 2 Rao, S. Chandra Sekhara 2 Render, Hermann 2 Romanyuk, Nataliia Mykolaivna 2 Roselló, María Dolores 2 Roulier, John A. 2 Settanni, Giuseppina 2 Van Daele, Marnix 2 Wright, R. W. 2 Zhang, Gongqiu 2 Zhang, Maozhu 1 Agwu, Nwojo N. 1 Al-Matar, Nadia R. 1 Alfy, Itzik 1 Alinia, N. 1 Allahverdiev, Bilender Paşaoğlu 1 Andersen, Leif B. G. 1 Andrew, Alan L. 1 Annaby, Mahmoud H. 1 Arias, Enrique 1 Ascher, Uri M. 1 Asharabi, Rashad M. 1 Avci, Hamit 1 Avdonin, Sergeĭ Anatol’evich 1 Ayalon, Ziv 1 Azor, Ruth 1 Bader, Georges 1 Barzanti, Luca 1 Bayram, Neslihan 1 Belinsky, Boris P. 1 Berger, Alan E. 1 Bhrawy, Ali Hassan 1 Bialecki, Bernard 1 Bocharov, Gennady A. 1 Bockmann, Christine 1 Bogdanov, Vladimir V. 1 Bouheroum-Mentri, Sabria 1 Breda, Dimitri ...and 190 more Authors
all top 5

#### Cited in 80 Serials

 33 Journal of Computational and Applied Mathematics 21 Applied Mathematics and Computation 14 Journal of Mathematical Analysis and Applications 13 Computers & Mathematics with Applications 8 Numerische Mathematik 7 Mathematics of Computation 7 Applied Numerical Mathematics 6 Journal of Approximation Theory 6 Mathematical and Computer Modelling 5 Computer Aided Geometric Design 5 Numerical Algorithms 5 International Journal of Computer Mathematics 4 Journal of Mathematical Physics 4 BIT 3 Quaestiones Mathematicae 3 Applied Mathematics Letters 3 Linear Algebra and its Applications 2 Applicable Analysis 2 Computer Physics Communications 2 Mathematical Notes 2 Computing 2 Journal of Differential Equations 2 Mathematika 2 Results in Mathematics 2 Insurance Mathematics & Economics 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Mathematical Programming. Series A. Series B 2 Communications in Nonlinear Science and Numerical Simulation 2 Computational Methods in Applied Mathematics 2 Mediterranean Journal of Mathematics 1 Advances in Applied Probability 1 Astrophysics and Space Science 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 International Journal of Control 1 Linear and Multilinear Algebra 1 Rocky Mountain Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 ACM Transactions on Mathematical Software 1 Integral Equations and Operator Theory 1 Journal of Optimization Theory and Applications 1 Journal of Statistical Planning and Inference 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 RAIRO. Analyse Numérique 1 SIAM Journal on Algebraic and Discrete Methods 1 Acta Applicandae Mathematicae 1 Computational Mechanics 1 Journal of Scientific Computing 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Computational Statistics 1 Computational Mathematics and Mathematical Physics 1 Journal of Statistical Computation and Simulation 1 SIAM Journal on Applied Mathematics 1 Computers and Mathematics with Applications. Part A 1 Russian Mathematics 1 SIAM Journal on Scientific Computing 1 The Journal of Analysis 1 Journal of Mathematical Sciences (New York) 1 Numerical Linear Algebra with Applications 1 Advances in Computational Mathematics 1 Journal of Difference Equations and Applications 1 Parallel Algorithms and Applications 1 Finance and Stochastics 1 Journal of Inequalities and Applications 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Review of Derivatives Research 1 Advances in Difference Equations 1 Boundary Value Problems 1 Inverse Problems in Science and Engineering 1 Complex Analysis and Operator Theory 1 Advances in Numerical Analysis 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 S$$\vec{\text{e}}$$MA Journal 1 Journal of Mathematics 1 SIAM/ASA Journal on Uncertainty Quantification
all top 5

#### Cited in 35 Fields

 148 Numerical analysis (65-XX) 109 Ordinary differential equations (34-XX) 44 Approximations and expansions (41-XX) 23 Partial differential equations (35-XX) 10 Operator theory (47-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Statistics (62-XX) 5 Quantum theory (81-XX) 5 Operations research, mathematical programming (90-XX) 4 Difference and functional equations (39-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Probability theory and stochastic processes (60-XX) 4 Mechanics of deformable solids (74-XX) 4 Systems theory; control (93-XX) 3 Special functions (33-XX) 3 Integral equations (45-XX) 2 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Fluid mechanics (76-XX) 2 Information and communication theory, circuits (94-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Biology and other natural sciences (92-XX)