# zbMATH — the first resource for mathematics

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 Documents Indexed: 49 Publications since 1983, including 6 Books
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#### Co-Authors

 8 single-authored 20 Whitley, Robert J. 6 Guymon, G. L. 3 Horton, Steven B. 2 Bohannon, A. W. 2 Dean, Thomas R. 2 Lai, Chintu 1 Barton, M. R. 1 Baxter, Robert A. 1 DeMoes, N. J. 1 Doyle, Aidan 1 Grubaugh, Kameron E. 1 Harryman, R. R. III 1 Johnson, Anthony N. 1 Kastner, Thomas 1 Kendall, T. P. 1 Leal, A. F. 1 Lindquist, Joseph M. 1 Menges, Joshua 1 Nelson, Anton 1 Pardoen, Gerard C. 1 Phillips, D. D. 1 Pinder, George Francis 1 Poler, A. C. 1 Schowalter, S. J. 1 Seibel, M. G. 1 Thomasy, C. 1 Vaughn, Jeffrey L. 1 Watson, D. P. 1 Wilkins, B. D. 1 Yuan, Matthew
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#### Serials

 10 Numerical Methods for Partial Differential Equations 8 Engineering Analysis with Boundary Elements 6 Applied Mathematical Modelling 4 Numerical Heat Transfer 3 International Journal for Numerical Methods in Engineering 3 Stochastic Hydrology and Hydraulics 2 Advances in Engineering Software and Workstations 2 Lecture Notes in Engineering 1 Computer Methods in Applied Mechanics and Engineering 1 Applied Numerical Mathematics 1 Computational Mechanics 1 Advances in Engineering Software 1 Stochastic Environmental Research and Risk Assessment 1 SpringerBriefs in Applied Sciences and Technology
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#### Fields

 34 Numerical analysis (65-XX) 19 Partial differential equations (35-XX) 16 Fluid mechanics (76-XX) 9 Potential theory (31-XX) 6 Mechanics of deformable solids (74-XX) 4 Geophysics (86-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Statistics (62-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH Open

31 Publications have been cited 154 times in 77 Documents Cited by Year
The complex variable boundary element method in engineering analysis. Zbl 0609.65078
Hromadka, Theodore V. II; Lai, Chintu
1987
Theoretical developments in the complex variable boundary element method. Zbl 1195.76299
Whitley, R. J.; Hromadka, T. V. II
2006
A complex variable boundary element method: Development. Zbl 0524.65074
Hromadka, T. V. II; Guymon, G. L.
1984
The complex variable boundary element method. Zbl 0575.76002
1984
Complex logarithms, Cauchy principal values, and the complex variable boundary element method. Zbl 0811.65102
Whitley, Robert J.; Hromadka, T. V. II
1994
A multi-dimensional complex variable boundary element method. Zbl 1014.65126
2002
Application of the CVBEM to non-uniform St. Venant torsion. Zbl 0556.73085
Hromadka, T. V. II; Pardoen, G. C.
1985
Linking the complex variable boundary-element method to the analytic function method. Zbl 0558.65084
1984
Using the complex polynomial method with Mathematica to model problems involving the Laplace and Poisson equations. Zbl 1168.65420
Poler, A. C.; Bohannon, A. W.; Schowalter, S. J.; Hromadka, T. V. II
2009
Approximating three-dimensional steady-state potential flow problems using two-dimensional complex polynomials. Zbl 1182.76935
Hromadka, T. V. II; Whitley, R. J.
2005
Complex variable boundary elements in computational mechanics. Zbl 0615.73095
1987
The complex polynomial method with a least-squares fit to boundary conditions. Zbl 1244.74141
Bohannon, A. W.; Hromadka, T. V.
2009
A collocation CVBEM using program Mathematica. Zbl 1244.76038
Dean, T. R.; Hromadka, T. V. II
2010
Numerical solutions of the Dirichlet problem via a density theorem. Zbl 0842.65072
Whitley, Robert; Hromadka, T. V. II
1994
Approximating harmonic functions on $$\mathbb R ^n$$ with one function of a single complex variable. Zbl 1117.65313
Whitley, R. J.; Hromadka, T. V. II
2005
Stochastic integral equations and rainfall-runoff models. Zbl 0702.60104
Hromadka, Theodore V. II; Whitley, Robert J.
1989
Extension of the CVBEM to higher-order trial functions. Zbl 0665.65006
Hromadka, T. V. II; Yen, C. C.
1988
A general complex variable boundary element method. Zbl 0988.65112
Whitley, R. J.; Hromadka, T. V. II
2001
Expanding the CVBEM approximation in a series. Zbl 0781.65092
Hromadka, T. V. II; Whitley, R. J.
1993
The complex variable boundary element method: Applications. Zbl 0627.65115
Hromadka, T. V. II; Yen, C. C.; Guymon, G. L.
1985
The existence of approximate solutions for two-dimensional potential flow problems. Zbl 0862.76044
Whitley, Robert; Hromadka, T. V. II
1996
Modeling potential flow using Laurent series expansions and boundary elements. Zbl 1372.76071
Dean, T. R.; Hromadka, T. V. II; Kastner, Thomas; Phillips, Michael
2012
The existence of approximate solutions to mixed boundary value problems. Zbl 0931.65115
Whitley, Robert; Hromadka, T. V. II
1999
Variable trial functions and the CVBEM. Zbl 0634.65114
1985
Numerical approximation of linear operator equations using a generalized Fourier series: Ordinary and partial differential equations with boundary conditions. Zbl 0706.65050
Hromadka, Theodore V.; Whitley, Robert J.
1989
The best approximation method. An introduction. Zbl 0617.42001
Hromadka, Th. V. II; Yen, Ch.-Ch.; Pinder, G. F.
1987
Approximation of slow-moving interface phase change problems using a generalized Fourier series and the complex variable boundary element method. Zbl 0617.73117
1987
Mass-lumping numerical models of three-dimensional heat conduction. Zbl 0558.65083
Hromadka, T. V. II; Guymon, G. L.
1983
An algorithm to reduce approximation errors from the complex-variable boundary-element method applied to soil freezing. Zbl 0566.76006
Hromadka, T. V. II; Guymon, G. L.
1985
Error bounds for numerical solution of partial differential equations. Zbl 0753.65084
Hromadka, T. V. II.; Whitley, R. J.
1991
The design storm concept in flood control design and planning. Zbl 0658.76023
Hromadka, T. V.; Whitley, R. J.
1988
Modeling potential flow using Laurent series expansions and boundary elements. Zbl 1372.76071
Dean, T. R.; Hromadka, T. V. II; Kastner, Thomas; Phillips, Michael
2012
A collocation CVBEM using program Mathematica. Zbl 1244.76038
Dean, T. R.; Hromadka, T. V. II
2010
Using the complex polynomial method with Mathematica to model problems involving the Laplace and Poisson equations. Zbl 1168.65420
Poler, A. C.; Bohannon, A. W.; Schowalter, S. J.; Hromadka, T. V. II
2009
The complex polynomial method with a least-squares fit to boundary conditions. Zbl 1244.74141
Bohannon, A. W.; Hromadka, T. V.
2009
Theoretical developments in the complex variable boundary element method. Zbl 1195.76299
Whitley, R. J.; Hromadka, T. V. II
2006
Approximating three-dimensional steady-state potential flow problems using two-dimensional complex polynomials. Zbl 1182.76935
Hromadka, T. V. II; Whitley, R. J.
2005
Approximating harmonic functions on $$\mathbb R ^n$$ with one function of a single complex variable. Zbl 1117.65313
Whitley, R. J.; Hromadka, T. V. II
2005
A multi-dimensional complex variable boundary element method. Zbl 1014.65126
2002
A general complex variable boundary element method. Zbl 0988.65112
Whitley, R. J.; Hromadka, T. V. II
2001
The existence of approximate solutions to mixed boundary value problems. Zbl 0931.65115
Whitley, Robert; Hromadka, T. V. II
1999
The existence of approximate solutions for two-dimensional potential flow problems. Zbl 0862.76044
Whitley, Robert; Hromadka, T. V. II
1996
Complex logarithms, Cauchy principal values, and the complex variable boundary element method. Zbl 0811.65102
Whitley, Robert J.; Hromadka, T. V. II
1994
Numerical solutions of the Dirichlet problem via a density theorem. Zbl 0842.65072
Whitley, Robert; Hromadka, T. V. II
1994
Expanding the CVBEM approximation in a series. Zbl 0781.65092
Hromadka, T. V. II; Whitley, R. J.
1993
Error bounds for numerical solution of partial differential equations. Zbl 0753.65084
Hromadka, T. V. II.; Whitley, R. J.
1991
Stochastic integral equations and rainfall-runoff models. Zbl 0702.60104
Hromadka, Theodore V. II; Whitley, Robert J.
1989
Numerical approximation of linear operator equations using a generalized Fourier series: Ordinary and partial differential equations with boundary conditions. Zbl 0706.65050
Hromadka, Theodore V.; Whitley, Robert J.
1989
Extension of the CVBEM to higher-order trial functions. Zbl 0665.65006
Hromadka, T. V. II; Yen, C. C.
1988
The design storm concept in flood control design and planning. Zbl 0658.76023
Hromadka, T. V.; Whitley, R. J.
1988
The complex variable boundary element method in engineering analysis. Zbl 0609.65078
Hromadka, Theodore V. II; Lai, Chintu
1987
Complex variable boundary elements in computational mechanics. Zbl 0615.73095
1987
The best approximation method. An introduction. Zbl 0617.42001
Hromadka, Th. V. II; Yen, Ch.-Ch.; Pinder, G. F.
1987
Approximation of slow-moving interface phase change problems using a generalized Fourier series and the complex variable boundary element method. Zbl 0617.73117
1987
Application of the CVBEM to non-uniform St. Venant torsion. Zbl 0556.73085
Hromadka, T. V. II; Pardoen, G. C.
1985
The complex variable boundary element method: Applications. Zbl 0627.65115
Hromadka, T. V. II; Yen, C. C.; Guymon, G. L.
1985
Variable trial functions and the CVBEM. Zbl 0634.65114
1985
An algorithm to reduce approximation errors from the complex-variable boundary-element method applied to soil freezing. Zbl 0566.76006
Hromadka, T. V. II; Guymon, G. L.
1985
A complex variable boundary element method: Development. Zbl 0524.65074
Hromadka, T. V. II; Guymon, G. L.
1984
The complex variable boundary element method. Zbl 0575.76002
1984
Linking the complex variable boundary-element method to the analytic function method. Zbl 0558.65084
1984
Mass-lumping numerical models of three-dimensional heat conduction. Zbl 0558.65083
Hromadka, T. V. II; Guymon, G. L.
1983
all top 5

#### Cited by 99 Authors

 26 Hromadka, Theodore V. II 12 Whitley, Robert J. 4 Ang, Wei Tech 4 Linkov, Aleksandr M. 4 Santoro, Roberta 4 Sato, Kozo 3 Barone, Giorgio 3 Chen, Yizhou 3 Drobek, Jaroslav 3 Pirrotta, Antonina 2 Ang, Whyeteong 2 Bohannon, A. W. 2 Crouch, Steven L. 2 Dean, Thomas R. 2 Hong, Hong-Ki 2 Horton, Steven B. 2 Mogilevskaya, Sofia G. 2 Rybarska-Rusinek, Liliana 2 Zieniuk, Eugeniusz 1 Andréu, Joaquín 1 Bailey, Robert T. 1 Băleanu, Dumitru I. 1 Baxter, Robert A. 1 Capilla, Jose E. 1 Chen, Jeng-Tzong 1 Chuang, J. M. 1 Clements, David L. 1 Cooke, Tristrom 1 DeMoes, N. J. 1 Detournay, Christine 1 Di Paola, Mario 1 Djojodihardjo, Harijono 1 Dobroskok, Anastasia A. 1 Doyle, Aidan 1 Dumir, P. C. 1 Emmanuel, Bosco 1 Gadala, Mohamed S. 1 Gakis, K. G. 1 Grubaugh, Kameron E. 1 Gu, Lei 1 Guymon, G. L. 1 Harryman, R. R. III 1 Hickman, Randal 1 Huang, Maokuang 1 Huang, Yun 1 Huber, Michael R. 1 Jaworski, Dawid 1 Johnson, Anthony N. 1 Jokl, Ludek 1 Kadarman, A. Halim 1 Kang, Ilwon 1 Kapturczak, Marta 1 Karczewska, Anna 1 Kassab, Alain J. 1 Kastner, Thomas 1 Kendall, T. P. 1 Kumar, Rajendra 1 Lee, Jia-Wei 1 Li, Yangyang 1 Liu, Liwei 1 Lizama, Carlos 1 Lo Iacono, Francesco 1 Marmo, Francesco 1 Menges, Joshua 1 Navarra, Giacomo 1 Nelson, Anton 1 Paradiso, Massimo 1 Pardoen, Gerard C. 1 Petrila, Titus 1 Phillips, D. D. 1 Poler, A. C. 1 Polishchuk, O. D. 1 Pulido-Velazquez, David 1 Rasmussen, Todd C. 1 Rejwer, Ewa 1 Rosati, Luciano 1 Sahuquillo, Andrés 1 Schowalter, S. J. 1 Sessa, Salvatore 1 Sivazlian, B. D. 1 Szynal-Liana, Anetta 1 Thomasy, C. 1 Tyagnii, A. V. 1 Vaiana, Nicolò 1 Vaughn, Jeffrey L. 1 Wang, Jianlin 1 Wang, Xue 1 Wang, Zhongxian 1 Watanabe, Yusuke 1 Watson, D. P. 1 Wilkins, B. D. 1 Xie, Gongnan 1 Yang, Xiao-Jun 1 Yu, Guoqing 1 Yu, Kok Hwa 1 Yuan, Matthew 1 Yun, Beong In 1 Zhao, Kai 1 Zhao, Yang
all top 5

#### Cited in 27 Serials

 25 Engineering Analysis with Boundary Elements 10 Applied Mathematical Modelling 7 Numerical Methods for Partial Differential Equations 4 Computer Methods in Applied Mechanics and Engineering 3 International Journal for Numerical Methods in Engineering 3 Communications in Numerical Methods in Engineering 2 Acta Mechanica 2 Applied Mathematics and Computation 2 Computational Mechanics 2 International Journal of Computer Mathematics 1 International Journal of Solids and Structures 1 Journal of Mathematical Analysis and Applications 1 Prikladnaya Matematika i Mekhanika 1 Journal of Computational and Applied Mathematics 1 Mathematica Slovaca 1 Stochastic Analysis and Applications 1 Applied Numerical Mathematics 1 Stochastic Hydrology and Hydraulics 1 Engineering with Computers 1 Applications of Mathematics 1 Journal of Elasticity 1 Acta Mechanica Sinica. (English Edition) 1 Computational and Applied Mathematics 1 Matematychni Metody ta Fizyko-Mekhanichni Polya 1 Journal of Applied Mechanics and Technical Physics 1 European Journal of Mechanics. A. Solids 1 Advances in Mathematical Physics
all top 5

#### Cited in 14 Fields

 39 Numerical analysis (65-XX) 27 Mechanics of deformable solids (74-XX) 18 Partial differential equations (35-XX) 18 Fluid mechanics (76-XX) 6 Potential theory (31-XX) 5 Functions of a complex variable (30-XX) 3 Integral equations (45-XX) 2 Probability theory and stochastic processes (60-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Geophysics (86-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Operations research, mathematical programming (90-XX)