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## McCartin, Brian J.

Compute Distance To:
 Author ID: mccartin.brian-j Published as: McCartin, B. J.; McCartin, Brian J.
 Documents Indexed: 55 Publications since 1983, including 3 Books
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#### Co-Authors

 47 single-authored 2 Fisackerly, Michael W. 1 Atkinson, Patrick J. 1 Benny, Jesse V. 1 Causley, Matthew F. 1 Forrester, Sydney B. jun. 1 Jameson, Antony 1 Labadie, Suzanne M. 1 Young, Paul D.
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#### Serials

 15 Applied Mathematical Sciences (Ruse) 4 Applied Mathematics and Computation 4 International Mathematical Forum 3 Statistics 2 Journal of Computational and Applied Mathematics 2 SIAM Review 2 International Journal of Pure and Applied Mathematics 2 Global Journal of Pure and Applied Mathematics 1 AIAA Journal 1 American Mathematical Monthly 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 The Mathematical Intelligencer 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Approximation Theory 1 SIAM Journal on Scientific and Statistical Computing 1 Computational Mechanics 1 Mathematical Problems in Engineering 1 Engineering Computations 1 Journal of Applied Mathematics 1 Journal of Computational Methods in Sciences and Engineering 1 International Journal of Applied Mathematical Sciences 1 The College Mathematics Journal
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#### Fields

 26 Numerical analysis (65-XX) 23 Partial differential equations (35-XX) 9 Geometry (51-XX) 9 Statistics (62-XX) 6 General and overarching topics; collections (00-XX) 5 Ordinary differential equations (34-XX) 5 Fluid mechanics (76-XX) 5 Biology and other natural sciences (92-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Optics, electromagnetic theory (78-XX) 3 Mechanics of particles and systems (70-XX) 2 Approximations and expansions (41-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

28 Publications have been cited 139 times in 114 Documents Cited by Year
Theory of exponential splines. Zbl 0756.41019
McCartin, Brian J.
1991
Eigenstructure of the equilateral triangle. I: The Dirichlet problem. Zbl 1122.35311
McCartin, Brian J.
2003
Exponential fitting of the delayed recruitment/renewal equation. Zbl 0986.65063
McCartin, Brian J.
2001
Eigenstructure of the equilateral triangle. II: The Neumann problem. Zbl 1122.35312
McCartin, Brian J.
2002
Computation of exponential splines. Zbl 0701.65010
McCartin, Brian J.
1990
Accurate and efficient pricing of vanilla stock options via the Crandall-Douglas scheme. Zbl 1053.91062
McCartin, Brian J.; Labadie, Suzanne M.
2003
Prelude to musical geometry. Zbl 0995.00502
McCartin, Brian J.
1998
Laplacian eigenstructure of the equilateral triangle. Zbl 1319.35116
McCartin, Brian J.
2011
An alternative analysis of Duffing’s equation. Zbl 0765.34022
McCartin, Brian J.
1992
Eigenstructure of the equilateral triangle. III: The Robin problem. Zbl 1123.35008
McCartin, Brian J.
2004
A geometric characterization of linear regression. Zbl 1037.62060
McCartin, Brian J.
2003
Applications of exponential splines in computational fluid dynamics. Zbl 0521.76005
McCartin, B. J.
1983
On polygonal domains with trigonometric eigenfunctions of the Laplacian under Dirichlet or Neumann boundary conditions. Zbl 1187.35144
McCartin, Brian J.
2008
$$e$$: the master of all. Zbl 1163.11085
McCartin, Brian J.
2006
The exponential method of angled derivatives. Zbl 1096.65095
McCartin, Brian J.
2006
The method of angled derivatives. Zbl 1082.65573
McCartin, Brian J.
2005
A model-trust region algorithm utilizing a quadratic interpolant. Zbl 0931.65060
McCartin, Brian J.
1998
Numerical simulation of cylindrical waveguides. Zbl 0925.65229
McCartin, B. J.
1996
Numerical solution of nonlinear hyperbolic conservation laws using exponential splines. Zbl 0724.65089
McCartin, B. J.; Jameson, A.
1990
On Euler’s synthetic demonstration of Pappus’ construction of an ellipse from a pair of conjugate diameters. Zbl 1287.51019
McCartin, Brian J.
2013
Eigenstructure of the discrete Laplacian on the equilateral triangle: the Dirichlet & Neumann problems. Zbl 1219.35152
McCartin, Brian J.
2010
Exponential fitting of the damped wave equation. Zbl 1211.35020
McCartin, Brian J.
2010
Characteristics-based schemes for the hyperbolic heat conduction equations. Zbl 1194.35028
McCartin, Brian J.
2009
Rayleigh-Schrödinger perturbation theory: Pseudoinverse formulation. Zbl 1237.65036
McCartin, Brian J.
2009
Angled derivative approximation of the hyperbolic heat conduction equations. Zbl 1107.65083
McCartin, Brian J.; Causley, Matthew F.
2006
Numerical investigation of the validity of the quasi-static approximation in the modelling of catalytic converters. Zbl 1197.80056
McCartin, Brian J.; Young, Paul D.
2005
The geometry of linear regression with correlated errors. Zbl 1081.62046
McCartin, Brian J.
2005
Seven deadly sins of numerical computation. Zbl 0982.65002
McCartin, Brian J.
1998
On Euler’s synthetic demonstration of Pappus’ construction of an ellipse from a pair of conjugate diameters. Zbl 1287.51019
McCartin, Brian J.
2013
Laplacian eigenstructure of the equilateral triangle. Zbl 1319.35116
McCartin, Brian J.
2011
Eigenstructure of the discrete Laplacian on the equilateral triangle: the Dirichlet & Neumann problems. Zbl 1219.35152
McCartin, Brian J.
2010
Exponential fitting of the damped wave equation. Zbl 1211.35020
McCartin, Brian J.
2010
Characteristics-based schemes for the hyperbolic heat conduction equations. Zbl 1194.35028
McCartin, Brian J.
2009
Rayleigh-Schrödinger perturbation theory: Pseudoinverse formulation. Zbl 1237.65036
McCartin, Brian J.
2009
On polygonal domains with trigonometric eigenfunctions of the Laplacian under Dirichlet or Neumann boundary conditions. Zbl 1187.35144
McCartin, Brian J.
2008
$$e$$: the master of all. Zbl 1163.11085
McCartin, Brian J.
2006
The exponential method of angled derivatives. Zbl 1096.65095
McCartin, Brian J.
2006
Angled derivative approximation of the hyperbolic heat conduction equations. Zbl 1107.65083
McCartin, Brian J.; Causley, Matthew F.
2006
The method of angled derivatives. Zbl 1082.65573
McCartin, Brian J.
2005
Numerical investigation of the validity of the quasi-static approximation in the modelling of catalytic converters. Zbl 1197.80056
McCartin, Brian J.; Young, Paul D.
2005
The geometry of linear regression with correlated errors. Zbl 1081.62046
McCartin, Brian J.
2005
Eigenstructure of the equilateral triangle. III: The Robin problem. Zbl 1123.35008
McCartin, Brian J.
2004
Eigenstructure of the equilateral triangle. I: The Dirichlet problem. Zbl 1122.35311
McCartin, Brian J.
2003
Accurate and efficient pricing of vanilla stock options via the Crandall-Douglas scheme. Zbl 1053.91062
McCartin, Brian J.; Labadie, Suzanne M.
2003
A geometric characterization of linear regression. Zbl 1037.62060
McCartin, Brian J.
2003
Eigenstructure of the equilateral triangle. II: The Neumann problem. Zbl 1122.35312
McCartin, Brian J.
2002
Exponential fitting of the delayed recruitment/renewal equation. Zbl 0986.65063
McCartin, Brian J.
2001
Prelude to musical geometry. Zbl 0995.00502
McCartin, Brian J.
1998
A model-trust region algorithm utilizing a quadratic interpolant. Zbl 0931.65060
McCartin, Brian J.
1998
Seven deadly sins of numerical computation. Zbl 0982.65002
McCartin, Brian J.
1998
Numerical simulation of cylindrical waveguides. Zbl 0925.65229
McCartin, B. J.
1996
An alternative analysis of Duffing’s equation. Zbl 0765.34022
McCartin, Brian J.
1992
Theory of exponential splines. Zbl 0756.41019
McCartin, Brian J.
1991
Computation of exponential splines. Zbl 0701.65010
McCartin, Brian J.
1990
Numerical solution of nonlinear hyperbolic conservation laws using exponential splines. Zbl 0724.65089
McCartin, B. J.; Jameson, A.
1990
Applications of exponential splines in computational fluid dynamics. Zbl 0521.76005
McCartin, B. J.
1983
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#### Cited by 193 Authors

 7 McCartin, Brian J. 5 Amiraliyev, Gabil M. 5 Erdogan, Fevzi 5 Siudeja, Bartłomiej Andrzej 4 Laugesen, Richard Snyder 3 Dağ, Idiris 3 Ersoy, Ozlem 3 Gosse, Laurent 3 Helffer, Bernard 3 Rogina, Mladen 3 Tang, Chen 3 Yan, Haiqing 2 Amiraliyeva, Ilhame G. 2 Bérard, Pierre H. 2 Chen, Zhanqing 2 Ehrhardt, Matthias 2 Feng, Zhaosheng 2 Fokas, Athanassios S. 2 Kounchev, Ognyan Ivanov 2 Kumar, Mukesh 2 Marušić, Miljenko 2 Pankrashkin, Konstantin 2 Rao, S. Chandra Sekhara 2 Ren, Yuxin 2 Render, Hermann 2 Wang, Qiuju 2 Wang, Song 1 Adar, Nihat 1 Agwu, Nwojo N. 1 Alinia, N. 1 Amadori, Debora 1 Angermann, Lutz 1 Ankudinova, Julia 1 Ayalon, Ziv 1 Azzam-Laouir, Dalila 1 Babu, Desarazu Krishna 1 Baranov, A. Yu. 1 Barba, Luis Felipe 1 Bartholdi, Laurent 1 Begehr, Heinrich 1 Berry, Cameron 1 Bhuruth, Muddun 1 Bogdanov, Vladimir V. 1 Boukrouk, Wafiya 1 Canal, Luisa 1 Caraballo, Luis-Evaristo 1 Carr, James R. 1 Catanzaro, Michael J. 1 Causley, Matthew F. 1 Cen, Zhongdi 1 Chacón Rebollo, Tomás 1 Christensen, Ole 1 Christiansen, Lasse Hjuler 1 Colakoglu, Harun Baris 1 Conti, Costanza 1 Coox, Laurens 1 Córcoles, Juan 1 Cuminato, José Alberto 1 Dağ, İdris 1 Dassios, George 1 Desmet, Wim 1 Díaz-Báñez, Jose Miguel 1 Douthett, Jack 1 Driscoll, Tobin A. 1 Dyn, Nira 1 Elías-Zúñiga, Alex 1 Emsiz, Erdal 1 Erdoğan, Fatma Özen 1 Ersoy, Okan K. 1 Fabila-Monroy, Ruy 1 Fernández-García, Soledad 1 Fiore, Thomas M. 1 Fitzsimons, Conor J. 1 Gaddah, Wajdi A. 1 Gan, Siqing 1 Garg, Neetu 1 Giani, Stefano 1 Gómez Mármol, Macarena 1 Gong, Lianger 1 Gopaul, Ashvin 1 Gou, Chenhua 1 Greco, Francesco 1 Greif, Evan 1 Grubišić, Luka 1 Gupta, Aastha 1 Han, Xuli 1 Harmer, Mark 1 Hayotov, Abdullo Rakhmonovich 1 Hazlett, Randy D. 1 Hu, Jinhao 1 Huang, Wen-Feng 1 Ikonen, Samuli 1 Jain, Sudhir Ranjan 1 Jameson, Antony 1 Jiang, Xiong 1 Kalimeris, Konstantinos 1 Kaplan, Daniel T. 1 Kaushik, Aditya 1 Khalile, Magda 1 Khimich, A. N. ...and 93 more Authors
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#### Cited in 71 Serials

 9 Journal of Computational and Applied Mathematics 6 Computers & Mathematics with Applications 4 Journal of Computational Physics 4 Applied Mathematics and Computation 4 Numerical Algorithms 3 Journal of Mathematical Physics 3 BIT 3 Applied Numerical Mathematics 3 Advances in Computational Mathematics 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Mathematical Analysis and Applications 2 Chaos, Solitons and Fractals 2 The Mathematical Intelligencer 2 Journal of Approximation Theory 2 Statistics 2 International Journal of Computer Mathematics 2 Cybernetics and Systems Analysis 2 International Journal of Theoretical and Applied Finance 2 Advances in Difference Equations 1 Communications in Mathematical Physics 1 International Journal of Mathematical Education in Science and Technology 1 Letters in Mathematical Physics 1 Ukrainian Mathematical Journal 1 Mathematics of Computation 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Quarterly of Applied Mathematics 1 Acta Applicandae Mathematicae 1 Graphs and Combinatorics 1 Computational Mechanics 1 Applied Mathematics Letters 1 Journal of Scientific Computing 1 Japan Journal of Industrial and Applied Mathematics 1 Computational Geometry 1 Journal of Global Optimization 1 Computational Mathematics and Mathematical Physics 1 Applied Mathematical Modelling 1 European Journal of Operational Research 1 Mathematical Programming. Series A. Series B 1 Calculus of Variations and Partial Differential Equations 1 Communications in Numerical Methods in Engineering 1 Statistical Papers 1 Computational and Applied Mathematics 1 Turkish Journal of Mathematics 1 Documenta Mathematica 1 Nonlinear Dynamics 1 Journal of Inequalities and Applications 1 Journal of Combinatorial Optimization 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of the European Mathematical Society (JEMS) 1 Journal of the Australian Mathematical Society 1 Computational Methods in Applied Mathematics 1 Communications on Pure and Applied Analysis 1 Computational Methods and Function Theory 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Mediterranean Journal of Mathematics 1 The Australian Journal of Mathematical Analysis and Applications 1 Complex Variables and Elliptic Equations 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Acta Mechanica Sinica 1 Journal of Mathematics and Music 1 Journal of Fixed Point Theory and Applications 1 Journal of Physics A: Mathematical and Theoretical 1 Involve 1 Advances in Mathematical Physics 1 Advances in Numerical Analysis 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Cited in 39 Fields

 60 Numerical analysis (65-XX) 41 Partial differential equations (35-XX) 16 Ordinary differential equations (34-XX) 13 Approximations and expansions (41-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Operator theory (47-XX) 5 Probability theory and stochastic processes (60-XX) 5 Statistics (62-XX) 5 Fluid mechanics (76-XX) 4 General and overarching topics; collections (00-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Mechanics of deformable solids (74-XX) 4 Operations research, mathematical programming (90-XX) 3 Group theory and generalizations (20-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 2 Mathematics education (97-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX)