Edit Profile (opens in new tab) Johnston, Peter Rex Compute Distance To: Compute Author ID: johnston.peter-rex Published as: Johnston, Peter R.; Johnston, Peter Rex Documents Indexed: 47 Publications since 1991 Co-Authors: 12 Co-Authors with 28 Joint Publications 76 Co-Co-Authors all top 5 Co-Authors 17 single-authored 14 Elliott, David L. 13 Johnston, Barbara M. 5 Kilpatrick, David 1 Amin, Norsarahaida S. 1 Barnes, J. P. 1 Barnes, Josef 1 Bignell, Georgina Juanita 1 Gale, Timothy John 1 Gulrajani, Ramesh M. 1 Harman, David B. 1 Hyttinen, Jari A. K. 1 Mandal, Prashanta Kumar 1 Mustapha, Norzieha 1 Walker, Stephen J. all top 5 Serials 11 Mathematical Biosciences 8 International Journal for Numerical Methods in Engineering 8 Journal of Computational and Applied Mathematics 5 The Australian Mathematical Society Gazette 3 Mathematical and Computer Modelling 2 SIAM Journal on Scientific Computing 2 Communications in Numerical Methods in Engineering 2 The ANZIAM Journal 1 Computers & Mathematics with Applications 1 International Journal of Mathematical Education in Science and Technology 1 Applied Mathematics and Computation 1 Applied Mathematical Modelling 1 Engineering Analysis with Boundary Elements 1 Journal of Universal Computer Science all top 5 Fields 27 Numerical analysis (65-XX) 16 Biology and other natural sciences (92-XX) 15 Partial differential equations (35-XX) 7 Approximations and expansions (41-XX) 6 Mathematics education (97-XX) 4 Optics, electromagnetic theory (78-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 358 times in 183 Documents Cited by ▼ Year ▼ A sinh transformation for evaluating nearly singular boundary element integrals. Zbl 1119.65318Johnston, Peter R.; Elliott, David 52 2005 A sinh transformation for evaluating two-dimensional nearly singular boundary element integrals. Zbl 1194.65143Johnston, Barbara M.; Johnston, Peter R.; Elliott, David 51 2007 Application of sigmoidal transformations to weakly singular and near-singular boundary element integrals. Zbl 0935.65130Johnston, Peter R. 46 1999 A new method for the numerical evaluation of nearly singular integrals on triangular elements in the 3D boundary element method. Zbl 1262.65043Johnston, Barbara M.; Johnston, Peter R.; Elliott, David 37 2013 Semi-sigmoidal transformations for evaluating weakly singular boundary element integrals. Zbl 0966.65093Johnston, Peter R. 20 2000 The iterated sinh transformation. Zbl 1195.65183Elliott, David; Johnston, Peter R. 20 2008 Error analysis for a sinh transformation used in evaluating nearly singular boundary element integrals. Zbl 1116.65032Elliott, David; Johnston, Peter R. 13 2007 Using the iterated sinh transformation to evaluate two dimensional nearly singular boundary element integrals. Zbl 1297.65179Johnston, Peter R.; Johnston, Barbara M.; Elliott, David 12 2013 Error estimation of quadrature rules for evaluating singular integrals in boundary element problems. Zbl 0962.65092Johnston, Peter R.; Elliott, David 12 2000 \(C^2\)-continuous elements for boundary element analysis. Zbl 0929.74120Johnston, Peter R. 12 1997 Transformations for evaluating singular boundary element integrals. Zbl 1014.65019Johnston, Peter R.; Elliott, David 10 2002 A generalisation of Telles’ method for evaluating weakly singular boundary element integrals. Zbl 0984.65123Johnston, Peter R.; Elliott, David 9 2001 A comparison of transformation methods for evaluating two-dimensional weakly singular integrals. Zbl 1022.65130Johnston, Barbara M.; Johnston, Peter R. 7 2003 Second order Overhauser elements for boundary element analysis. Zbl 0858.65119Johnston, P. R. 7 1996 Clenshaw-Curtis and Gauss-Legendre quadrature for certain boundary element integrals. Zbl 1186.65030Elliott, David; Johnston, Barbara M.; Johnston, Peter R. 7 2008 A sensitivity study of conductivity values in the passive bidomain equation. Zbl 1218.92007Johnston, Peter R. 6 2011 A cylindrical model for studying subendocardial ischaemia in the left ventricle. Zbl 1027.92010Johnston, Peter R. 5 2003 Gauss-Legendre quadrature for the evaluation of integrals involving the Hankel function. Zbl 1135.41010Elliott, David; Johnston, Peter R. 5 2008 The effect of simplifying assumptions in the bidomain model of cardiac tissue: application to ST segment shifts during partial ischaemia. Zbl 1076.92028Johnston, Peter R. 4 2005 An analysis of the zero-crossing method for choosing regularization parameters. Zbl 1014.65140Johnston, Peter R.; Gulrajani, Ramesh M. 4 2002 A numerical simulation of unsteady blood flow through multi-irregular arterial stenoses. Zbl 1193.76166Mustapha, Norzieha; Mandal, Prashanta K.; Johnston, Peter R.; Amin, Norsarahaida 4 2010 Estimates of the error in Gauss-Legendre quadrature for double integrals. Zbl 1252.65062Elliott, David; Johnston, Peter R.; Johnston, Barbara M. 4 2011 Applying the stochastic Galerkin method to epidemic models with uncertainty in the parameters. Zbl 1358.92089Harman, David B.; Johnston, Peter R. 3 2016 Diffusion in composite media: Solution with simple eigenvalues and eigenfunctions. Zbl 0754.35049Johnston, Peter R. 3 1991 A complete error analysis for the evaluation of a two-dimensional nearly singular boundary element integral. Zbl 1306.65172Elliott, David; Johnston, Barbara M.; Johnston, Peter R. 3 2015 A simple device to improve the accuracy of evaluating weakly singular boundary element integrals. Zbl 0996.65126Johnston, Peter R.; Johnston, Barbara M. 3 2002 A new approach to the determination of cardiac potential distributions: application to the analysis of electrode configurations. Zbl 1097.92015Johnston, Barbara M.; Johnston, Peter R.; Kilpatrick, David 2 2006 A modified non-linear transformation method for evaluating weakly singular boundary integrals. Zbl 1035.65141Johnston, Barbara M.; Johnston, Peter R. 2 2004 A solution method for the Graetz problem for non-Newtonian fluids with Dirichlet and Neumann boundary conditions. Zbl 0796.76002Johnston, P. R. 2 1994 Split operator finite element method for modelling pulmonary gas exchange. Zbl 1334.92102Bignell, Georgina Juanita; Johnston, Peter R. 1 2007 Inverse electrocardiographic transformations: Dependence on the number of epicardial regions and body surface data points. Zbl 0792.92012Johnston, Peter R.; Walker, Stephen J.; Hyttinen, Jari A. K.; Kilpatrick, David 1 1994 How ischaemic region shape affects ST potentials in models of cardiac tissue. Zbl 1319.92019Barnes, J. P.; Johnston, P. R. 1 2012 Applying the stochastic Galerkin method to epidemic models with uncertainty in the parameters. Zbl 1358.92089Harman, David B.; Johnston, Peter R. 3 2016 A complete error analysis for the evaluation of a two-dimensional nearly singular boundary element integral. Zbl 1306.65172Elliott, David; Johnston, Barbara M.; Johnston, Peter R. 3 2015 A new method for the numerical evaluation of nearly singular integrals on triangular elements in the 3D boundary element method. Zbl 1262.65043Johnston, Barbara M.; Johnston, Peter R.; Elliott, David 37 2013 Using the iterated sinh transformation to evaluate two dimensional nearly singular boundary element integrals. Zbl 1297.65179Johnston, Peter R.; Johnston, Barbara M.; Elliott, David 12 2013 How ischaemic region shape affects ST potentials in models of cardiac tissue. Zbl 1319.92019Barnes, J. P.; Johnston, P. R. 1 2012 A sensitivity study of conductivity values in the passive bidomain equation. Zbl 1218.92007Johnston, Peter R. 6 2011 Estimates of the error in Gauss-Legendre quadrature for double integrals. Zbl 1252.65062Elliott, David; Johnston, Peter R.; Johnston, Barbara M. 4 2011 A numerical simulation of unsteady blood flow through multi-irregular arterial stenoses. Zbl 1193.76166Mustapha, Norzieha; Mandal, Prashanta K.; Johnston, Peter R.; Amin, Norsarahaida 4 2010 The iterated sinh transformation. Zbl 1195.65183Elliott, David; Johnston, Peter R. 20 2008 Clenshaw-Curtis and Gauss-Legendre quadrature for certain boundary element integrals. Zbl 1186.65030Elliott, David; Johnston, Barbara M.; Johnston, Peter R. 7 2008 Gauss-Legendre quadrature for the evaluation of integrals involving the Hankel function. Zbl 1135.41010Elliott, David; Johnston, Peter R. 5 2008 A sinh transformation for evaluating two-dimensional nearly singular boundary element integrals. Zbl 1194.65143Johnston, Barbara M.; Johnston, Peter R.; Elliott, David 51 2007 Error analysis for a sinh transformation used in evaluating nearly singular boundary element integrals. Zbl 1116.65032Elliott, David; Johnston, Peter R. 13 2007 Split operator finite element method for modelling pulmonary gas exchange. Zbl 1334.92102Bignell, Georgina Juanita; Johnston, Peter R. 1 2007 A new approach to the determination of cardiac potential distributions: application to the analysis of electrode configurations. Zbl 1097.92015Johnston, Barbara M.; Johnston, Peter R.; Kilpatrick, David 2 2006 A sinh transformation for evaluating nearly singular boundary element integrals. Zbl 1119.65318Johnston, Peter R.; Elliott, David 52 2005 The effect of simplifying assumptions in the bidomain model of cardiac tissue: application to ST segment shifts during partial ischaemia. Zbl 1076.92028Johnston, Peter R. 4 2005 A modified non-linear transformation method for evaluating weakly singular boundary integrals. Zbl 1035.65141Johnston, Barbara M.; Johnston, Peter R. 2 2004 A comparison of transformation methods for evaluating two-dimensional weakly singular integrals. Zbl 1022.65130Johnston, Barbara M.; Johnston, Peter R. 7 2003 A cylindrical model for studying subendocardial ischaemia in the left ventricle. Zbl 1027.92010Johnston, Peter R. 5 2003 Transformations for evaluating singular boundary element integrals. Zbl 1014.65019Johnston, Peter R.; Elliott, David 10 2002 An analysis of the zero-crossing method for choosing regularization parameters. Zbl 1014.65140Johnston, Peter R.; Gulrajani, Ramesh M. 4 2002 A simple device to improve the accuracy of evaluating weakly singular boundary element integrals. Zbl 0996.65126Johnston, Peter R.; Johnston, Barbara M. 3 2002 A generalisation of Telles’ method for evaluating weakly singular boundary element integrals. Zbl 0984.65123Johnston, Peter R.; Elliott, David 9 2001 Semi-sigmoidal transformations for evaluating weakly singular boundary element integrals. Zbl 0966.65093Johnston, Peter R. 20 2000 Error estimation of quadrature rules for evaluating singular integrals in boundary element problems. Zbl 0962.65092Johnston, Peter R.; Elliott, David 12 2000 Application of sigmoidal transformations to weakly singular and near-singular boundary element integrals. Zbl 0935.65130Johnston, Peter R. 46 1999 \(C^2\)-continuous elements for boundary element analysis. Zbl 0929.74120Johnston, Peter R. 12 1997 Second order Overhauser elements for boundary element analysis. Zbl 0858.65119Johnston, P. R. 7 1996 A solution method for the Graetz problem for non-Newtonian fluids with Dirichlet and Neumann boundary conditions. Zbl 0796.76002Johnston, P. R. 2 1994 Inverse electrocardiographic transformations: Dependence on the number of epicardial regions and body surface data points. Zbl 0792.92012Johnston, Peter R.; Walker, Stephen J.; Hyttinen, Jari A. K.; Kilpatrick, David 1 1994 Diffusion in composite media: Solution with simple eigenvalues and eigenfunctions. Zbl 0754.35049Johnston, Peter R. 3 1991 all cited Publications top 5 cited Publications all top 5 Cited by 313 Authors 17 Johnston, Peter Rex 13 Gu, Yan 11 Xie, Guizhong 9 Elliott, David L. 9 Johnston, Barbara M. 9 Zhang, Yaoming 8 Chen, Wen 8 Zhang, Jianming 7 Ma, Hang 7 Zhong, Yudong 6 Lv, Jiahe 5 Chen, Jeng-Tzong 5 Niu, Zhongrong 5 Wang, Liangwen 4 Cheng, Changzheng 4 Dong, Yunqiao 4 Gao, Xiaowei 4 Gong, Yanpeng 4 Hu, Zongjun 4 Li, Xiaochao 4 Lin, Weicheng 4 Sidi, Avram 4 Veneziani, Alessandro 4 Zhang, Chuanzeng 4 Zhou, Fenglin 4 Zieniuk, Eugeniusz 3 Du, Wenliao 3 Feng, Xiating 3 Gao, Hongwei 3 Han, Zhilin 3 He, Wenbin 3 Nintcheu Fata, Sylvain 3 Shen, Baotang 3 Shi, Jingyu 3 Tornberg, Anna-Karin 3 Trevelyan, Jon 3 Yun, Beong In 2 af Klinteberg, Ludvig 2 Azikri de Deus, Hilbeth P. 2 Barone, Alessandro 2 Bin, Hu 2 Carr, Elliot Joseph 2 Cong, Li 2 Dehghan Takht Fooladi, Mehdi 2 Dong, Chunying 2 Feng, Shizhe 2 Fenton, Flavio H. 2 Hattori, Gabriel 2 He, Donghong 2 Hou, Junjian 2 Jiang, Quan 2 Jiao, Yuyong 2 Ju, Chuanming 2 Kamiya, Norio 2 Kilpatrick, David 2 Li, Guangyao 2 Lysaker, Marius 2 Miao, Yu 2 Nielsen, Bjørn Fredrik 2 Pasternak, Iaroslav M. 2 Qin, Xianyun 2 Rüberg, Thomas 2 Scott, Michael A. 2 Sladek, Jan 2 Sladek, Vladimir 2 Tan, Fei 2 Tian, Yu 2 Yan, Fei 2 Yang, Huanhuan 2 Zhang, Bo 2 Zhang, Jinyang 2 Zhongrong, Niu 2 Zongjun, Hu 1 Adesanya, Samuel Olumide 1 Alastrue, Victor 1 Amoura, N. 1 Assari, Pouria 1 Aussal, Matthieu 1 Ávila S., Claudio R. jun. 1 Awrejcewicz, Jan 1 Aznárez, Juan José 1 Barbosa Pinto Silva, Thales A. 1 Barry, Steven Ian 1 Bayram, Mustafa 1 Beck, André T. 1 Bendahmane, Mostafa 1 Benitez, Francisco G. 1 Benson, David J. 1 Berriochoa Esnaola, Elías 1 Boccia, Edda 1 Bordas, Stéphane Pierre Alain 1 Bordón, Jacob David Rodriguez 1 Borges, Leonardo Silveira 1 Borkowski, Mariusz 1 Brandt, Luca 1 Bürger, Raimund 1 Cachafeiro, Alicia 1 Cai, Xing 1 Cala Rodriguez, Francisco 1 Cano, Alfredo ...and 213 more Authors all top 5 Cited in 42 Serials 61 Engineering Analysis with Boundary Elements 15 Journal of Computational and Applied Mathematics 13 International Journal for Numerical Methods in Engineering 11 Computer Methods in Applied Mechanics and Engineering 9 Mathematical Biosciences 7 Applied Mathematics and Computation 7 Computational Mechanics 6 Computers & Mathematics with Applications 4 Applied Numerical Mathematics 4 Communications in Numerical Methods in Engineering 3 Journal of Computational Physics 3 Applied Mathematical Modelling 3 Journal of Shanghai University 2 Inverse Problems 2 Mathematics of Computation 2 BIT 2 Journal of Scientific Computing 2 SIAM Journal on Scientific Computing 2 Computational and Applied Mathematics 2 Advances in Computational Mathematics 2 Engineering Computations 1 Acta Mechanica 1 Applicable Analysis 1 International Journal for Numerical Methods in Fluids 1 Journal of Fluid Mechanics 1 Chaos, Solitons and Fractals 1 Calcolo 1 Numerische Mathematik 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 Numerical Algorithms 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Chaos 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 European Journal of Mechanics. A. Solids 1 Regular and Chaotic Dynamics 1 CEJOR. Central European Journal of Operations Research 1 Advances in Difference Equations 1 Advances in Applied Mathematics and Mechanics 1 Mathematics 1 International Journal of Applied and Computational Mathematics 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Cited in 22 Fields 145 Numerical analysis (65-XX) 51 Mechanics of deformable solids (74-XX) 36 Partial differential equations (35-XX) 25 Approximations and expansions (41-XX) 24 Biology and other natural sciences (92-XX) 23 Fluid mechanics (76-XX) 10 Classical thermodynamics, heat transfer (80-XX) 5 Integral equations (45-XX) 5 Optics, electromagnetic theory (78-XX) 4 Potential theory (31-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year