Edit Profile (opens in new tab) Lesnic, Daniel Compute Distance To: Compute Author ID: lesnic.daniel Published as: Lesnic, D.; Lesnic, Daniel External Links: MGP Documents Indexed: 226 Publications since 1994, including 1 Book 6 Contributions as Editor Reviewing Activity: 161 Reviews Co-Authors: 107 Co-Authors with 200 Joint Publications 2,148 Co-Co-Authors all top 5 Co-Authors 30 single-authored 61 Ingham, Derek Binns 45 Elliott, Lionel 36 Marin, Liviu 26 Johansson, B. Tomas 23 Karageorghis, Andreas 13 Đinh Nho Hào 11 Hussein, Mohammed S. 10 Mera, Nicolae S. 9 Cao, Kai 8 Bin-Mohsin, Bandar 8 Pop, Ioan 8 Reeve, Thomas 8 Zeb, Anwar 7 Hazanee, A. 7 Heggs, Peter J. 7 Ismailov, Mansur I. 7 Ivanchov, Mykola I. 7 Nguyen Huy Tuan 6 Onyango, Thomas T. M. 5 Hasanoǧlu, Alemdar 5 Thanh, Phan Xuan 4 Curteanu, Anca E. 4 Hussein, S. O. 4 Slodička, Marián 3 Alosaimi, M. 3 Kerimov, Nazim B. 3 Rap, A. 2 Attili, Basem S. 2 Au, Vo Van 2 Aykroyd, Robert G. 2 Borman, Duncan 2 da Silva, Wilton Bernardino 2 Dutra, Julio Cesar Sampaio 2 Farcas, Adrian 2 Hofmann, Bernd 2 Huntul, M. J. 2 Kabanikhin, Sergeĭ Igorevich 2 Khoa, Vo Anh 2 Kopperschimidt, C. E. P. 2 Meng, Songhe 2 Trucu, Dumitru 2 Yagola, Anatoliĭ Grigor’evich 2 Yousefi, Sohrab Ali 2 Zhuo, Lijun 1 Andreev, Vladimir B. 1 Banks, Harvey Thomas 1 Barikbin, Zahra 1 Bastay, George 1 Binh, Tran Thanh 1 Burns, Alan D. 1 Chantasiriwan, Somchart 1 Chuong, La Huu 1 Clennell, B. 1 Colaço, Marcelo José 1 Crook, Anthony J. 1 Dawson, Michael R. W. 1 Duc, Nguyen Van 1 Dulikravich, George Stevo 1 Elliot, L. 1 Erdem, Arzu 1 Fisher, Quentin J. 1 Ghinda, Theodor 1 Grattoni, Carlos 1 Hammond, Robert B. 1 Hâncu, Simion 1 Hung, Tran The 1 Huong, Bui Viet 1 Jourhmane, Mostafa 1 Kamynin, Vitaly Leonidovich 1 Kanca, Fatma 1 Kinash, N. E. 1 Knipe, R. J. 1 Kostin, Andrey B. 1 Kozlov, Vladimir A. 1 Kuchuk, Fikri J. 1 Liu, Jijun 1 Lorinczi, Piroska 1 Ma, Lin 1 Mantič, Vladislav 1 Munslow, D. 1 Nashed, M. Zuhair 1 Neubauer, Andreas 1 Nguyen Anh Triet 1 Nguyen, Doan Vuong 1 Nguyen, Van- Duc 1 Niesen, Jitse 1 Pham Minh Hien 1 Pickalov, Valery V. 1 Rhodes, Dominic 1 Romanov, Vladimir Gavrilovich 1 Rybalcenko, Konstantin 1 Sacks, Paul E. 1 Shishlenin, Maxim Aleksandrovich 1 Snitko, H. A. 1 Tekin, Ibrahim 1 Thang, Le Duc 1 Tràn Quóc Viêt 1 Triggiani, Roberto 1 Van, Phan Thi Khanh 1 Vasin, Vladimir Vasil’evich ...and 7 more Co-Authors all top 5 Serials 26 Inverse Problems in Science and Engineering 24 Engineering Analysis with Boundary Elements 10 Journal of Inverse and Ill-Posed Problems 9 Computers & Mathematics with Applications 9 International Journal of Heat and Mass Transfer 9 Applied Mathematical Modelling 9 International Journal of Computer Mathematics 8 IMA Journal of Applied Mathematics 8 Applied Mathematics and Computation 7 Journal of Engineering Mathematics 7 Journal of Computational and Applied Mathematics 5 Applicable Analysis 5 International Journal for Numerical Methods in Engineering 5 Computational Mechanics 5 Numerical Methods for Partial Differential Equations 5 Applied Mathematics Letters 4 Computer Methods in Applied Mechanics and Engineering 3 Inverse Problems 3 Journal of Mathematical Analysis and Applications 3 Mathematics and Computers in Simulation 3 Applied Numerical Mathematics 3 International Journal of Numerical Methods for Heat & Fluid Flow 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Acta Universitatis Apulensis. Mathematics - Informatics 3 Journal of Applied Mathematics and Computing 3 International Journal of Computational Mathematics and Numerical Simulation 3 Advances in Applied Mathematics and Mechanics 2 International Journal of Solids and Structures 2 Journal of Sound and Vibration 2 Mathematical Methods in the Applied Sciences 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Mathematical and Computer Modelling 2 Communications in Numerical Methods in Engineering 2 Communications in Nonlinear Science and Numerical Simulation 2 International Journal of Computational Methods 2 East Asian Journal on Applied Mathematics 1 Computers and Fluids 1 Journal of Computational Physics 1 Quarterly Journal of Mechanics and Applied Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Chaos, Solitons and Fractals 1 International Journal of Mathematics and Mathematical Sciences 1 Kybernetes 1 Mathematika 1 Journal of Scientific Computing 1 Journal of Integral Equations and Applications 1 European Journal of Applied Mathematics 1 Studia Universitatis Babeș-Bolyai. Mathematica 1 Journal of Porous Media 1 Buletinul Științific al Universității din Baia Mare. Seria B. Fascicola Matematică - Informatică 1 Communications in Computational Physics 1 Applied and Computational Mathematics 1 Journal of Algorithms & Computational Technology 1 European Journal of Computational Mechanics 1 International Journal of Applied and Computational Mathematics all top 5 Fields 137 Numerical analysis (65-XX) 122 Partial differential equations (35-XX) 62 Classical thermodynamics, heat transfer (80-XX) 42 Fluid mechanics (76-XX) 31 Mechanics of deformable solids (74-XX) 9 Optics, electromagnetic theory (78-XX) 8 Ordinary differential equations (34-XX) 6 General and overarching topics; collections (00-XX) 6 Biology and other natural sciences (92-XX) 5 Potential theory (31-XX) 5 Systems theory; control (93-XX) 3 Operator theory (47-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of particles and systems (70-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 187 Publications have been cited 2,515 times in 1,225 Documents Cited by ▼ Year ▼ The boundary-element method for the determination of a heat source dependent on one variable. Zbl 1146.80007Farcas, Adrian; Lesnic, Daniel 119 2006 A survey of applications of the MFS to inverse problems. Zbl 1220.65157Karageorghis, A.; Lesnic, D.; Marin, L. 112 2011 The method of fundamental solutions for inverse boundary value problems associated with the two-dimensional biharmonic equation. Zbl 1088.35079Marin, L.; Lesnic, D. 98 2005 Determination of a spacewise dependent heat source. Zbl 1135.35097Johansson, Tomas; Lesnic, Daniel 86 2007 The Cauchy problem for Laplace’s equation via the conjugate gradient method. Zbl 0967.35032Dinh Nho Hào; Lesnic, D. 71 2000 A variational method for identifying a spacewise-dependent heat source. Zbl 1135.65034Johansson, B. Tomas; Lesnic, Daniel 68 2007 An alternating iterative algorithm for the Cauchy problem associated to the Helmholtz equation. Zbl 1022.78012Marin, L.; Elliott, L.; Heggs, P. J.; Ingham, D. B.; Lesnic, D.; Wen, X. 60 2003 The method of fundamental solutions for the Cauchy problem in two-dimensional linear elasticity. Zbl 1071.74055Marin, Liviu; Lesnic, Daniel 60 2004 Conjugate gradient-boundary element solution to the Cauchy problem for Helmholtz-type equations. Zbl 1047.65097Marin, L.; Elliott, L.; Heggs, P. J.; Ingham, D. B.; Lesnic, D.; Wen, X. 58 2003 An iterative boundary element method for solving the one-dimensional backward heat conduction problem. Zbl 0979.80008Mera, N. S.; Elliott, L.; Ingham, D. B.; Lesnic, D. 46 2001 A procedure for determining a spacewise dependent heat source and the initial temperature. Zbl 1133.35436Johansson, B. Tomas; Lesnic, Daniel 46 2008 BEM solution for the Cauchy problem associated with Helmholtz-type equations by the Landweber method. Zbl 1066.80009Marin, L.; Elliott, L.; Heggs, P. J.; Ingham, D. B.; Lesnic, D.; Wen, X. 44 2004 The decomposition approach to inverse heat conduction. Zbl 0922.35189Lesnic, D.; Elliott, L. 37 1999 Regularization of parabolic equations backward in time by a non-local boundary value problem method. Zbl 1194.35501Hào, Dinh Nho; Duc, Nguyen Van; Lesnic, D. 36 2010 A non-local boundary value problem method for the Cauchy problem for elliptic equations. Zbl 1170.35555Dinh, Nho Hào; Nguyen, Van Duc; Lesnic, D. 36 2009 Determination of a time-dependent heat source under nonlocal boundary and integral overdetermination conditions. Zbl 1247.65126Ismailov, M. I.; Kanca, F.; Lesnic, D. 36 2011 A method of fundamental solutions for transient heat conduction. Zbl 1244.80021Johansson, B. Tomas; Lesnic, Daniel 34 2008 A method of fundamental solutions for the one-dimensional inverse Stefan problem. Zbl 1225.80007Johansson, B. T.; Lesnic, D.; Reeve, T. 34 2011 The method of fundamental solutions for nonlinear functionally graded materials. Zbl 1166.80300Marin, Liviu; Lesnic, Daniel 32 2007 Boundary element method for the Cauchy problem in linear elasticity. Zbl 1048.74049Marin, L.; Elliott, L.; Ingham, D. B.; Lesnic, D. 31 2001 Comparison of regularization methods for solving the Cauchy problem associated with the Helmholtz equation. Zbl 1062.78015Marin, L.; Elliott, L.; Heggs, P. J.; Ingham, D. B.; Lesnic, D.; Wen, X. 29 2004 Application of the boundary element method to inverse heat conduction problems. Zbl 0963.74568Lesnic, D.; Elliott, L.; Ingham, D. B. 28 1996 Boundary element solution for the Cauchy problem in linear elasticity using singular value decomposition. Zbl 1045.74050Marin, L.; Lesnic, D. 28 2002 The boundary element solution of the Cauchy steady heat conduction problem in an anisotropic medium. Zbl 0974.80004Mera, N. S.; Elliott, L.; Ingham, D. B.; Lesnic, D. 26 2000 A comparison of boundary element method formulations for steady state anisotropic heat conduction problems. Zbl 0982.80009Mera, N. S.; Elliott, L.; Ingham, D. B.; Lesnic, D. 25 2001 Convergence of Adomian’s decomposition method: periodic temperatures. Zbl 1125.65347Lesnic, D. 24 2002 The boundary element solution of the Laplace and biharmonic equations subjected to noisy boundary data. Zbl 0941.76056Lesnic, D.; Elliott, L.; Ingham, D. B. 21 1998 The method of fundamental solutions for free surface Stefan problems. Zbl 1244.80019Chantasiriwan, S.; Johansson, B. T.; Lesnic, D. 21 2009 Detection of cavities using the method of fundamental solutions. Zbl 1175.65130Karageorghis, A.; Lesnic, D. 21 2009 Regularized boundary element solution for an inverse boundary value problem in linear elasticity. Zbl 1056.74058Marin, L.; Lesnic, D. 21 2002 A method of fundamental solutions for two-dimensional heat conduction. Zbl 1223.35013Johansson, B. Tomas; Lesnic, Daniel; Reeve, Thomas 20 2011 An inverse time-dependent source problem for the heat equation. Zbl 1284.65124Hazanee, A.; Ismailov, M. I.; Lesnic, D.; Kerimov, N. B. 19 2013 A computational algebraic investigation of the decomposition method for time-dependent problems. Zbl 1023.65107Lesnic, D. 19 2001 Determination of a time-dependent diffusivity from nonlocal conditions. Zbl 1293.35367Lesnic, D.; Yousefi, S. A.; Ivanchov, M. 18 2013 A method of fundamental solutions for transient heat conduction in layered materials. Zbl 1244.80022Johansson, B. Tomas; Lesnic, Daniel 18 2009 An efficient method for computing eigenelements of Sturm-Liouville fourth-order boundary value problems. Zbl 1107.65070Attili, B. S.; Lesnic, D. 17 2006 The method of fundamental solutions for the inverse conductivity problem. Zbl 1194.65139Karageorghis, A.; Lesnic, D. 17 2010 Steady-state nonlinear heat conduction in composite materials using the method of fundamental solutions. Zbl 1194.74054Karageorghis, A.; Lesnic, D. 17 2008 The method of fundamental solutions for a biharmonic inverse boundary determination problem. Zbl 1163.65078Zeb, A.; Ingham, D. B.; Lesnic, D. 17 2008 Determination of a time-dependent heat transfer coefficient in a nonlinear inverse heat conduction problem. Zbl 1186.65132Slodička, M.; Lesnic, D.; Onyango, T. T. M. 17 2010 Relaxation procedures for an iterative algorithm for solving the Cauchy problem for the Laplace equation. Zbl 1116.80022Jourhmane, M.; Lesnic, D.; Mera, N. S. 17 2004 The MFS for numerical boundary identification in two-dimensional harmonic problems. Zbl 1259.65194Marin, Liviu; Karageorghis, Andreas; Lesnic, Daniel 17 2011 Determination of a time-dependent heat transfer coefficient from non-standard boundary measurements. Zbl 1169.65091Onyango, T. T. M.; Ingham, D. B.; Lesnic, D.; Slodička, M. 16 2009 Numerical approximation of the one-dimensional inverse Cauchy-Stefan problem using a method of fundamental solutions. Zbl 1254.65101Johansson, B. Tomas; Lesnic, Daniel; Reeve, Thomas 16 2011 Application of the MFS to inverse obstacle scattering problems. Zbl 1259.76046Karageorghis, A.; Lesnic, D. 16 2011 Identification of the population density of a species model with nonlocal diffusion and nonlinear reaction. Zbl 06733563Tuan, Nguyen Huy; Au, Vo Van; Khoa, Vo Anh; Lesnic, Daniel 16 2017 An alternating method for the stationary Stokes system. Zbl 1094.35133Bastay, George; Johansson, Tomas; Kozlov, Vladimir A.; Lesnic, Daniel 15 2006 Determination of a source in the heat equation from integral observations. Zbl 1294.35195Hào, Dinh Nho; Thanh, Phan Xuan; Lesnic, D.; Ivanchov, M. 15 2014 Dual reciprocity boundary element method solution of the Cauchy problem for Helmholtz-type equations with variable coefficients. Zbl 1243.74192Marin, L.; Elliott, L.; Heggs, P. J.; Ingham, D. B.; Lesnic, D.; Wen, X. 15 2006 A boundary element method for a multi-dimensional inverse heat conduction problem. Zbl 1255.65169Hào, Dinh Nho; Thanh, Phan Xuan; Lesnic, D.; Johansson, B. T. 15 2012 Conjugate gradient-boundary element method for the Cauchy problem in elasticity . Zbl 1038.74048Marin, L.; Hào, Dinh Nho; Lesnic, D. 14 2002 A three-dimensional boundary determination problem in potential corrosion damage. Zbl 1100.78022Mera, N. S.; Lesnic, D. 14 2005 Space-dependent perfusion coefficient identification in the transient bio-heat equation. Zbl 1221.92013Trucu, Dumitru; Ingham, Derek B.; Lesnic, Daniel 14 2010 The method of fundamental solutions for detection of cavities in EIT. Zbl 1189.78059Borman, D.; Ingham, D. B.; Johansson, B. T.; Lesnic, D. 14 2009 Reconstruction of heat transfer coefficients using the boundary element method. Zbl 1145.65327Onyango, T. T. M.; Ingham, D. B.; Lesnic, D. 14 2008 Treatment of singularities in Helmholtz-type equations using the boundary element method. Zbl 1236.65150Marin, L.; Lesnic, D.; Mantič, V. 14 2004 A moving pseudo-boundary method of fundamental solutions for void detection. Zbl 1268.65161Karageorghis, Andreas; Lesnic, Daniel; Marin, Liviu 14 2013 A new general filter regularization method for Cauchy problems for elliptic equations with a locally Lipschitz nonlinear source. Zbl 1328.35294Tuan, Nguyen Huy; Thang, Le Duc; Lesnic, Daniel 14 2016 Simultaneous determination of time-dependent coefficients in the heat equation. Zbl 1350.65104Hussein, M. S.; Lesnic, D.; Ivanchov, M. I. 13 2014 Satisfier function in Ritz-Galerkin method for the identification of a time-dependent diffusivity. Zbl 1279.35059Yousefi, S. A.; Lesnic, Daniel; Barikbin, Zahra 13 2012 A comparative study on applying the method of fundamental solutions to the backward heat conduction problem. Zbl 1255.80023Johansson, B. T.; Lesnic, D.; Reeve, T. 13 2011 Blow-up solutions obtained using the decomposition method. Zbl 1109.35024Lesnic, D. 12 2006 The boundary element method for the solution of Stokes equations in two-dimensional domains. Zbl 0956.76059Zeb, A.; Elliott, L.; Ingham, D. B.; Lesnic, D. 12 1998 Free convection boundary-layer flow along a vertical surface in a porous medium with Newtonian heating. Zbl 0984.76083Lesnic, D.; Ingham, D. B.; Pop, I. 12 1999 BEM first-order regularisation method in linear elasticity for boundary identification. Zbl 1041.74075Marin, L.; Lesnic, D. 12 2003 Heuristic regularization methods for numerical differentiation. Zbl 1247.65028Hào, Dinh Nho; Chuong, La Huu; Lesnic, Daniel 12 2012 The method of fundamental solutions for the identification of a sound-soft obstacle in inverse acoustic scattering. Zbl 1255.65203Karageorghis, A.; Johansson, B. T.; Lesnic, D. 12 2012 The method of fundamental solutions for an inverse internal boundary value problem for the biharmonic equation. Zbl 1267.65171Lesnic, D.; Zeb, A. 12 2009 An iterative boundary element algorithm for a singular Cauchy problem in linear elasticity. Zbl 1076.74567Marin, L.; Elliott, L.; Ingham, D. B.; Lesnic, D. 11 2002 Analysis of coefficient identification problems associated to the inverse Euler-Bernoulli beam theory. Zbl 0954.74025Lesnic, D.; Elliott, L.; Ingham, D. B. 11 1999 Identification of the thermal conductivity and heat capacity in unsteady nonlinear heat conduction problems using the boundary element method. Zbl 0874.65070Lesnic, D.; Elliott, L.; Ingham, D. B. 11 1996 Determination of the heat transfer coefficients in transient heat conduction. Zbl 1296.65124Hào, Dinh Nho; Thanh, Phan Xuan; Lesnic, D. 11 2013 Identification of a spacewise dependent heat source. Zbl 1427.35355Erdem, A.; Lesnic, D.; Hasanov, A. 11 2013 The decomposition method for Cauchy advection-diffusion problems. Zbl 1138.65307Lesnic, D. 11 2005 A meshless method for an inverse two-phase one-dimensional linear Stefan problem. Zbl 1267.80011Johansson, B. Tomas; Lesnic, Daniel; Reeve, Thomas 11 2013 Boundary element two-dimensional solution of an inverse Stokes problem. Zbl 0965.76057Zeb, A.; Elliott, L.; Ingham, D. B.; Lesnic, D. 10 2000 Reconstruction of boundary condition laws in heat conduction using the boundary element method. Zbl 1165.80318Onyango, T. T. M.; Ingham, D. B.; Lesnic, D. 10 2009 A variational method and approximations of a Cauchy problem for elliptic equations. Zbl 1221.65294Dinh Nho Hào; Johansson, B. T.; Lesnic, D.; Pham Minh Hien 10 2010 The method of fundamental solutions for Helmholtz-type equations in composite materials. Zbl 1236.74292Bin-Mohsin, B.; Lesnic, D. 10 2011 A comparison of different methods to solve inverse biharmonic boundary value problems. Zbl 0958.65125Zeb, A.; Elliott, L.; Ingham, D. B.; Lesnic, D. 9 1999 Determination of inner boundaries in modified Helmholtz inverse geometric problems using the method of fundamental solutions. Zbl 1246.65213Bin-Mohsin, B.; Lesnic, D. 9 2012 The decomposition method for forward and backward time-dependent problems. Zbl 1013.65110Lesnic, D. 9 2002 The decomposition method for initial value problems. Zbl 1148.65081Lesnic, D. 9 2006 Determination of forcing functions in the wave equation. I: The space-dependent case. Zbl 1360.65229Hussein, S. O.; Lesnic, D. 9 2016 The Cauchy problem for the wave equation using the decomposition method. Zbl 1011.35036Lesnic, D. 8 2002 Boundary element-Landweber method for the Cauchy problem in linear elasticity. Zbl 1073.74050Marin, Liviu; Lesnic, Daniel 8 2005 An inverse Stokes problem using interior pressure data. Zbl 1032.76630Zeb, A.; Elliott, L.; Ingham, D. B.; Lesnic, D. 8 2002 Reconstruction of a stationary flow from incomplete boundary data using iterative methods. Zbl 1132.76036Johansson, Tomas; Lesnic, Daniel 8 2006 Restoring boundary conditions in heat conduction. Zbl 1153.80005Onyango, Thomas T. M.; Ingham, Derek B.; Lesnic, Daniel 8 2008 Identification of material properties and cavities in two-dimensional linear elasticity. Zbl 1038.74553Marin, L.; Elliott, L.; Ingham, D. B.; Lesnic, D. 8 2003 Decomposition methods for nonlinear, non-characteristic Cauchy heat problems. Zbl 1072.35087Lesnic, D. 8 2005 Inverse space-dependent force problems for the wave equation. Zbl 1382.65296Lesnic, D.; Hussein, S. O.; Johansson, B. T. 8 2016 Determination of forcing functions in the wave equation. II: The time-dependent case. Zbl 1360.65230Hussein, S. O.; Lesnic, D. 8 2016 An iterative method for the reconstruction of a stationary flow. Zbl 1127.76040Johansson, Tomas; Lesnic, Daniel 7 2007 The decomposition method for linear, one-dimensional, time-dependent partial differential equations. Zbl 1121.35004Lesnic, D. 7 2006 A comparison of different regularization methods for a Cauchy problem in anisotropic heat conduction. Zbl 1057.80004Mera, N. S.; Elliott, L.; Ingham, D. B.; Lesnic, D. 7 2003 The decomposition method for Cauchy reaction-diffusion problems. Zbl 1169.35304Lesnic, D. 7 2007 An inverse coefficient identification problem for the bio-heat equation. Zbl 1169.65092Trucu, Dumitru; Ingham, Derek B.; Lesnic, Daniel 7 2009 The boundary element method for the numerical recovery of a circular inhomogeneity in an elliptic equation. Zbl 1074.65126Marin, L.; Elliott, L.; Ingham, D. B.; Lesnic, D. 7 2004 The pressure-streamfunction MFS formulation for the detection of an obstacle immersed in a two-dimensional Stokes flow. Zbl 1262.65188Karageorghis, A.; Lesnic, Daniel 7 2010 Sequential particle filter estimation of a time-dependent heat transfer coefficient in a multidimensional nonlinear inverse heat conduction problem. Zbl 1479.35944da Silva, W. B.; Dutra, J. C. S.; Kopperschimidt, C. E. P.; Lesnic, D.; Aykroyd, R. G. 1 2021 The method of fundamental solutions for Brinkman flows. I: Exterior domains. Zbl 1476.65329Karageorghis, Andreas; Lesnic, Daniel; Marin, Liviu 1 2021 Direct and inverse source problems for degenerate parabolic equations. Zbl 1475.35175Hussein, M. S.; Lesnic, Daniel; Kamynin, Vitaly L.; Kostin, Andrey B. 4 2020 Reconstruction of the heat transfer coefficient at the interface of a bi-material. Zbl 1466.80010Zhuo, Lijun; Lesnic, Daniel; Meng, Songhe 2 2020 Identification of obstacles immersed in a stationary Oseen fluid via boundary measurements. Zbl 1475.65175Karageorghis, Andreas; Lesnic, Daniel 2 2020 The method of fundamental solutions for the Oseen steady-state viscous flow past obstacles of known or unknown shapes. Zbl 1430.76390Karageorghis, Andreas; Lesnic, Daniel 6 2019 Inverse time-dependent source problems for the heat equation with nonlocal boundary conditions. Zbl 1428.80011Hazanee, A.; Lesnic, D.; Ismailov, M. I.; Kerimov, N. B. 6 2019 Simultaneous reconstruction of the perfusion coefficient and initial temperature from time-average integral temperature measurements. Zbl 1481.35396Cao, K.; Lesnic, D. 4 2019 Simultaneous reconstruction of the spatially-distributed reaction coefficient, initial temperature and heat source from temperature measurements at different times. Zbl 1443.35051Cao, K.; Lesnic, D. 2 2019 Determination of thermal conductivity of inhomogeneous orthotropic materials from temperature measurements. Zbl 1465.65088Cao, K.; Lesnic, D.; Colaco, M. J. 2 2019 Regularization of the semilinear sideways heat equation. Zbl 1471.80004Nguyen Huy Tuan; Lesnic, Daniel; Tran Quoc Viet; Vo Van Au 1 2019 Reconstruction of the space-dependent perfusion coefficient from final time or time-average temperature measurements. Zbl 1457.65083Cao, K.; Lesnic, D. 6 2018 On the Cauchy problem for a semilinear fractional elliptic equation. Zbl 06892562Tuan, Nguyen Huy; Xuan, Tran Dong; Triet, Nguyen Anh; Lesnic, Daniel 4 2018 The method of fundamental solutions for the identification of a scatterer with impedance boundary condition in interior inverse acoustic scattering. Zbl 1403.76084Karageorghis, Andreas; Lesnic, D.; Marin, Liviu 3 2018 Determination of space-dependent coefficients from temperature measurements using the conjugate gradient method. Zbl 1407.80012Cao, Kai; Lesnic, Daniel 3 2018 Reconstruction of the perfusion coefficient from temperature measurements using the conjugate gradient method. Zbl 1390.65100Cao, K.; Lesnic, D. 1 2018 Identification of the population density of a species model with nonlocal diffusion and nonlinear reaction. Zbl 06733563Tuan, Nguyen Huy; Au, Vo Van; Khoa, Vo Anh; Lesnic, Daniel 16 2017 Reconstruction of space-dependent potential and/or damping coefficients in the wave equation. Zbl 1394.35580Hussein, S. O.; Lesnic, D.; Yamamoto, M. 6 2017 The MFS for the identification of a sound-soft interior acoustic scatterer. Zbl 1403.76152Karageorghis, Andreas; Lesnic, D.; Marin, Liviu 5 2017 Reconstruction of time-dependent coefficients from heat moments. Zbl 1411.80003Huntul, M. J.; Lesnic, D.; Hussein, M. S. 5 2017 Recovering the initial distribution for strongly damped wave equation. Zbl 06789935Tuan, Nguyen Huy; Nguyen, Doan Vuong; Au, Vo Van; Lesnic, Daniel 4 2017 Retrieving the time-dependent thermal conductivity of an orthotropic rectangular conductor. Zbl 1375.80019Hussein, M. S.; Kinash, N.; Lesnic, D.; Ivanchov, M. 1 2017 Modelling of gas flow in shale using a finite volume method. Zbl 1480.76121Lorinczi, Piroska; Burns, Alan D.; Lesnic, Daniel; Fisher, Quentin J.; Crook, Anthony J.; Grattoni, Carlos; Rybalcenko, Konstantin 1 2017 The method of fundamental solutions for problems in static thermo-elasticity with incomplete boundary data. Zbl 1369.65135Marin, L.; Karageorghis, A.; Lesnic, D.; Johansson, B. T. 1 2017 A new general filter regularization method for Cauchy problems for elliptic equations with a locally Lipschitz nonlinear source. Zbl 1328.35294Tuan, Nguyen Huy; Thang, Le Duc; Lesnic, Daniel 14 2016 Determination of forcing functions in the wave equation. I: The space-dependent case. Zbl 1360.65229Hussein, S. O.; Lesnic, D. 9 2016 Inverse space-dependent force problems for the wave equation. Zbl 1382.65296Lesnic, D.; Hussein, S. O.; Johansson, B. T. 8 2016 Determination of forcing functions in the wave equation. II: The time-dependent case. Zbl 1360.65230Hussein, S. O.; Lesnic, D. 8 2016 An inverse problem of finding the time-dependent diffusion coefficient from an integral condition. Zbl 1338.65225Hussein, Mohammed S.; Lesnic, Daniel; Ismailov, Mansur I. 6 2016 Multiple time-dependent coefficient identification thermal problems with a free boundary. Zbl 1329.65212Hussein, M. S.; Lesnic, D.; Ivanchov, M. I.; Snitko, H. A. 5 2016 On the Cauchy problem for semilinear elliptic equations. Zbl 1381.35237Tuan, Nguyen Huy; Binh, Tran Thanh; Viet, Tran Quoc; Lesnic, Daniel 3 2016 Reconstruction of multiplicative space- and time-dependent sources. Zbl 1348.65132Hazanee, A.; Lesnic, D. 1 2016 Identification of nonlinear heat transfer laws from boundary observations. Zbl 1331.35386Hào, Dinh Nho; Huong, Bui Viet; Thanh, Phan Xuan; Lesnic, D. 6 2015 Determination of the time-dependent perfusion coefficient in the bio-heat equation. Zbl 1395.35217Lesnic, D.; Ivanchov, M. 3 2015 A numerical study of the SVD-MFS solution of inverse boundary value problems in two-dimensional steady-state linear thermoelasticity. Zbl 1308.74038Marin, Liviu; Karageorghis, Andreas; Lesnic, Daniel 3 2015 Determination of the ambient temperature in transient heat conduction. Zbl 1309.35171Hào, Dinh Nho; Thanh, Phan Xuan; Lesnic, D. 3 2015 An inverse time-dependent source problem for the heat equation with a non-classical boundary condition. Zbl 1443.35187Hazanee, A.; Lesnic, D.; Ismailov, M. I.; Kerimov, N. B. 2 2015 Identification of the time-dependent conductivity of an inhomogeneous diffusive material. Zbl 1410.80009Hussein, M. S.; Lesnic, D. 2 2015 Topological derivative for the inverse conductivity problem: a Bayesian approach. Zbl 1319.65107Rocha de Faria, J.; Lesnic, D. 2 2015 Simultaneous numerical determination of a corroded boundary and its admittance. Zbl 1326.65150Karageorghis, A.; Bin-Mohsin, B.; Lesnic, D.; Marin, L. 2 2015 Determination of the time-dependent thermal conductivity in the heat equation with spacewise dependent heat capacity. Zbl 1359.65178Hussein, M. S.; Lesnic, D. 1 2015 Determination of a source in the heat equation from integral observations. Zbl 1294.35195Hào, Dinh Nho; Thanh, Phan Xuan; Lesnic, D.; Ivanchov, M. 15 2014 Simultaneous determination of time-dependent coefficients in the heat equation. Zbl 1350.65104Hussein, M. S.; Lesnic, D.; Ivanchov, M. I. 13 2014 The method of fundamental solutions for the two-dimensional inverse Stefan problem. Zbl 1304.65214Johansson, B. Tomas; Lesnic, Daniel; Reeve, Thomas 7 2014 Regularized collocation Trefftz method for void detection in two-dimensional steady-state heat conduction problems. Zbl 1308.65205Karageorghis, A.; Lesnic, D.; Marin, L. 4 2014 Numerical reconstruction of an inhomogeneity in an elliptic equation. Zbl 1304.65238Bin-Mohsin, B.; Lesnic, D. 2 2014 A meshless method for an inverse two-phase one-dimensional nonlinear Stefan problem. Zbl 07312604Johansson, B. Tomas; Lesnic, Daniel; Reeve, Thomas 2 2014 An inverse time-dependent source problem for the heat equation. Zbl 1284.65124Hazanee, A.; Ismailov, M. I.; Lesnic, D.; Kerimov, N. B. 19 2013 Determination of a time-dependent diffusivity from nonlocal conditions. Zbl 1293.35367Lesnic, D.; Yousefi, S. A.; Ivanchov, M. 18 2013 A moving pseudo-boundary method of fundamental solutions for void detection. Zbl 1268.65161Karageorghis, Andreas; Lesnic, Daniel; Marin, Liviu 14 2013 Determination of the heat transfer coefficients in transient heat conduction. Zbl 1296.65124Hào, Dinh Nho; Thanh, Phan Xuan; Lesnic, D. 11 2013 Identification of a spacewise dependent heat source. Zbl 1427.35355Erdem, A.; Lesnic, D.; Hasanov, A. 11 2013 A meshless method for an inverse two-phase one-dimensional linear Stefan problem. Zbl 1267.80011Johansson, B. Tomas; Lesnic, Daniel; Reeve, Thomas 11 2013 Determination of a time-dependent heat source from nonlocal boundary conditions. Zbl 1287.65075Hazanee, A.; Lesnic, D. 5 2013 A meshless method for solving a two-dimensional transient inverse geometric problem. Zbl 1357.65157Dawson, Michael; Borman, Duncan; Hammond, Robert B.; Lesnic, Daniel; Rhodes, Dominic 4 2013 Free boundary determination in nonlinear diffusion. Zbl 1288.35491Hussein, M. S.; Lesnic, D.; Ivanchov, M. I. 2 2013 Reconstruction of an additive space- and time-dependent heat source. Zbl 1284.80010Hazanee, A.; Lesnic, D. 1 2013 A boundary element method for a multi-dimensional inverse heat conduction problem. Zbl 1255.65169Hào, Dinh Nho; Thanh, Phan Xuan; Lesnic, D.; Johansson, B. T. 15 2012 Satisfier function in Ritz-Galerkin method for the identification of a time-dependent diffusivity. Zbl 1279.35059Yousefi, S. A.; Lesnic, Daniel; Barikbin, Zahra 13 2012 Heuristic regularization methods for numerical differentiation. Zbl 1247.65028Hào, Dinh Nho; Chuong, La Huu; Lesnic, Daniel 12 2012 The method of fundamental solutions for the identification of a sound-soft obstacle in inverse acoustic scattering. Zbl 1255.65203Karageorghis, A.; Johansson, B. T.; Lesnic, D. 12 2012 Determination of inner boundaries in modified Helmholtz inverse geometric problems using the method of fundamental solutions. Zbl 1246.65213Bin-Mohsin, B.; Lesnic, D. 9 2012 A method of fundamental solutions for radially symmetric and axisymmetric backward heat conduction problems. Zbl 1258.65099Johansson, B. Tomas; Lesnic, Daniel; Reeve, Thomas 6 2012 Inverse shape and surface heat transfer coefficient identification. Zbl 1275.65057Lesnic, D.; Bin-Mohsin, B. 5 2012 Identification of a corroded boundary and its Robin coefficient. Zbl 1287.65104Bin-Mohsin, B.; Lesnic, D. 2 2012 A meshless numerical identification of a sound-hard obstacle. Zbl 1351.74090Karageorghis, A.; Lesnic, D. 2 2012 A survey of applications of the MFS to inverse problems. Zbl 1220.65157Karageorghis, A.; Lesnic, D.; Marin, L. 112 2011 Determination of a time-dependent heat source under nonlocal boundary and integral overdetermination conditions. Zbl 1247.65126Ismailov, M. I.; Kanca, F.; Lesnic, D. 36 2011 A method of fundamental solutions for the one-dimensional inverse Stefan problem. Zbl 1225.80007Johansson, B. T.; Lesnic, D.; Reeve, T. 34 2011 A method of fundamental solutions for two-dimensional heat conduction. Zbl 1223.35013Johansson, B. Tomas; Lesnic, Daniel; Reeve, Thomas 20 2011 The MFS for numerical boundary identification in two-dimensional harmonic problems. Zbl 1259.65194Marin, Liviu; Karageorghis, Andreas; Lesnic, Daniel 17 2011 Numerical approximation of the one-dimensional inverse Cauchy-Stefan problem using a method of fundamental solutions. Zbl 1254.65101Johansson, B. Tomas; Lesnic, Daniel; Reeve, Thomas 16 2011 Application of the MFS to inverse obstacle scattering problems. Zbl 1259.76046Karageorghis, A.; Lesnic, D. 16 2011 A comparative study on applying the method of fundamental solutions to the backward heat conduction problem. Zbl 1255.80023Johansson, B. T.; Lesnic, D.; Reeve, T. 13 2011 The method of fundamental solutions for Helmholtz-type equations in composite materials. Zbl 1236.74292Bin-Mohsin, B.; Lesnic, D. 10 2011 The MFS for the detection of inner boundaries in linear elasticity. Zbl 1275.74005Karageorghis, A.; Lesnic, D.; Marin, L. 2 2011 Regularization of parabolic equations backward in time by a non-local boundary value problem method. Zbl 1194.35501Hào, Dinh Nho; Duc, Nguyen Van; Lesnic, D. 36 2010 The method of fundamental solutions for the inverse conductivity problem. Zbl 1194.65139Karageorghis, A.; Lesnic, D. 17 2010 Determination of a time-dependent heat transfer coefficient in a nonlinear inverse heat conduction problem. Zbl 1186.65132Slodička, M.; Lesnic, D.; Onyango, T. T. M. 17 2010 Space-dependent perfusion coefficient identification in the transient bio-heat equation. Zbl 1221.92013Trucu, Dumitru; Ingham, Derek B.; Lesnic, Daniel 14 2010 A variational method and approximations of a Cauchy problem for elliptic equations. Zbl 1221.65294Dinh Nho Hào; Johansson, B. T.; Lesnic, D.; Pham Minh Hien 10 2010 The pressure-streamfunction MFS formulation for the detection of an obstacle immersed in a two-dimensional Stokes flow. Zbl 1262.65188Karageorghis, A.; Lesnic, Daniel 7 2010 The comparison model method for determining the flexural rigidity of a beam. Zbl 1279.34023Lesnic, D. 1 2010 A non-local boundary value problem method for the Cauchy problem for elliptic equations. Zbl 1170.35555Dinh, Nho Hào; Nguyen, Van Duc; Lesnic, D. 36 2009 The method of fundamental solutions for free surface Stefan problems. Zbl 1244.80019Chantasiriwan, S.; Johansson, B. T.; Lesnic, D. 21 2009 Detection of cavities using the method of fundamental solutions. Zbl 1175.65130Karageorghis, A.; Lesnic, D. 21 2009 A method of fundamental solutions for transient heat conduction in layered materials. Zbl 1244.80022Johansson, B. Tomas; Lesnic, Daniel 18 2009 Determination of a time-dependent heat transfer coefficient from non-standard boundary measurements. Zbl 1169.65091Onyango, T. T. M.; Ingham, D. B.; Lesnic, D.; Slodička, M. 16 2009 The method of fundamental solutions for detection of cavities in EIT. Zbl 1189.78059Borman, D.; Ingham, D. B.; Johansson, B. T.; Lesnic, D. 14 2009 The method of fundamental solutions for an inverse internal boundary value problem for the biharmonic equation. Zbl 1267.65171Lesnic, D.; Zeb, A. 12 2009 Reconstruction of boundary condition laws in heat conduction using the boundary element method. Zbl 1165.80318Onyango, T. T. M.; Ingham, D. B.; Lesnic, D. 10 2009 An inverse coefficient identification problem for the bio-heat equation. Zbl 1169.65092Trucu, Dumitru; Ingham, Derek B.; Lesnic, Daniel 7 2009 On the boundary integral equations for a two-dimensional slowly rotating highly viscous fluid flow. Zbl 1262.31006Lesnic, D. 6 2009 Inverse reconstruction of boundary condition coefficients in one-dimensional transient heat conduction. Zbl 1158.65071Onyango, T. T. M.; Ingham, D. B.; Lesnic, D. 4 2009 Determination of the Robin coefficient in a nonlinear boundary condition for a steady-state problem. Zbl 1167.35547Slodička, Marián; Lesnic, Daniel 3 2009 Identification of the time-dependent perfusion coefficient in the bio-heat conduction equation. Zbl 1181.31001Lesnic, D. 2 2009 A procedure for determining a spacewise dependent heat source and the initial temperature. Zbl 1133.35436Johansson, B. Tomas; Lesnic, Daniel 46 2008 A method of fundamental solutions for transient heat conduction. Zbl 1244.80021Johansson, B. Tomas; Lesnic, Daniel 34 2008 Steady-state nonlinear heat conduction in composite materials using the method of fundamental solutions. Zbl 1194.74054Karageorghis, A.; Lesnic, D. 17 2008 The method of fundamental solutions for a biharmonic inverse boundary determination problem. Zbl 1163.65078Zeb, A.; Ingham, D. B.; Lesnic, D. 17 2008 ...and 87 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,447 Authors 116 Lesnic, Daniel 44 Marin, Liviu 43 Nguyen Huy Tuan 41 Fu, Chuli 38 Johansson, B. Tomas 33 Liu, Chein-Shan 29 Yang, Fan 28 Karageorghis, Andreas 26 Ingham, Derek Binns 26 Slodička, Marián 23 Gu, Yan 22 Wei, Ting 21 Li, Xiaoxiao 18 Dehghan Takht Fooladi, Mehdi 18 Xiong, Xiangtuan 17 Chen, Wen 17 Elliott, Lionel 13 Liu, Jijun 11 Đinh Nho Hào 11 Fan, Chia-Ming 11 Fu, Zhuojia 11 Shidfar, Abdollah 11 Sun, Yao 10 Kolodziej, Jan Adam 10 Wang, Fajie 10 Yan, Liang 9 Alves, Carlos J. S. 9 Au, Vo Van 9 Chapko, Roman 9 Trong, Dang Duc 9 Yang, Fenglian 8 Baranger, Thouraya Nouri 8 Bin-Mohsin, Bandar 8 Hon, Yiu-Chung 8 Ismailov, Mansur I. 8 Khoa, Vo Anh 8 Ma, Fuming 8 Ma, Yunjie 8 Pourgholi, Reza 8 Qian, Zhi 8 Qu, Wenzhen 8 Rashedi, Kamal 8 Reeve, Thomas 8 van Bockstal, Karel 8 Wang, Zewen 8 Yang, Liu 8 Zhang, Deyue 7 Andrieux, Stéphane 7 Can, Nguyen Huu 7 Deng, Zuicha 7 Dou, Fangfang 7 Grabski, Jakub Krzysztof 7 Kozlov, Vladimir A. 7 Martins, Nuno F. M. 7 O’Regan, Donal 7 Qian, Ai-Lin 7 Qiu, Shufang 7 Šarler, Božidar 7 Słota, Damian 7 Yamamoto, Masahiro 7 Zhang, Chuanzeng 7 Zhang, Yuanxiang 6 Băleanu, Dumitru I. 6 Berntsson, Fredrik 6 Cao, Kai 6 Cheng, Hao 6 Duc, Nguyen Van 6 Feng, Xiaoli 6 Gol’dman, Nataliya L’vovna 6 Hasanoǧlu, Alemdar 6 Hematiyan, Mohammad Rahim 6 Huntul, M. J. 6 Jin, Bangti 6 Mera, Nicolae S. 6 Onyango, Thomas T. M. 6 Qin, Qinghua 6 Sun, Linlin 6 Thanh, Phan Xuan 6 Wang, Jungang 6 Yousefi, Sohrab Ali 6 Zhou, Huanlin 5 Adibi, Hojatollah 5 Aida-Zade, Kamil Rajab 5 Boroomand, Bijan 5 Chakib, Abdelkrim 5 Delvare, Franck 5 Hazanee, A. 5 Hussein, Mohammed S. 5 Kamynin, Vitaly Leonidovich 5 Khanh, Tra Quoc 5 Kirane, Mokhtar 5 Ling, Leevan 5 Mierzwiczak, Magdalena 5 Minh, Nguyen Dang 5 Nachaoui, Abdeljalil 5 Pop, Ioan 5 Rahimov, Anar B. 5 Šišková, Katarína 5 Viloche Bazán, Fermín S. 5 Wei, Xing ...and 1,347 more Authors all top 5 Cited in 191 Serials 165 Engineering Analysis with Boundary Elements 121 Inverse Problems in Science and Engineering 69 Computers & Mathematics with Applications 68 Applied Mathematics and Computation 61 Journal of Computational and Applied Mathematics 49 Applied Mathematical Modelling 33 Journal of Inverse and Ill-Posed Problems 29 Applied Mathematics Letters 26 Applied Numerical Mathematics 26 International Journal of Computer Mathematics 24 Applicable Analysis 20 Inverse Problems 17 Computer Methods in Applied Mechanics and Engineering 17 Mathematical Problems in Engineering 16 Numerical Algorithms 15 Journal of Mathematical Analysis and Applications 14 International Journal of Heat and Mass Transfer 14 Journal of Engineering Mathematics 13 Mathematics and Computers in Simulation 13 Computational and Applied Mathematics 12 Numerical Methods for Partial Differential Equations 12 International Journal of Numerical Methods for Heat & Fluid Flow 12 Communications in Nonlinear Science and Numerical Simulation 11 Boundary Value Problems 10 International Journal for Numerical Methods in Engineering 10 Computational Mechanics 9 Journal of Computational Physics 9 Mathematical Methods in the Applied Sciences 8 Chaos, Solitons and Fractals 8 Journal of Scientific Computing 8 Inverse Problems and Imaging 8 Advances in Applied Mathematics and Mechanics 7 Journal of Applied Mathematics and Computing 7 Advances in Difference Equations 6 International Journal of Solids and Structures 6 Applied Mathematics and Mechanics. (English Edition) 6 Journal of Applied Mathematics 6 International Journal of Computational Methods 6 Advances in Mathematical Physics 5 Mathematical and Computer Modelling 5 Complexity 5 Differential Equations 5 International Journal of Wavelets, Multiresolution and Information Processing 5 Computational Methods for Differential Equations 5 International Journal of Applied and Computational Mathematics 4 Advances in Computational Mathematics 4 Journal of Inequalities and Applications 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Acta Mechanica 3 Computer Physics Communications 3 Acta Mathematica Vietnamica 3 Computational Mathematics and Mathematical Physics 3 SIAM Journal on Scientific Computing 3 Doklady Mathematics 3 Mathematics and Mechanics of Solids 3 Abstract and Applied Analysis 3 ISRN Mathematical Analysis 3 Open Mathematics 3 Journal of Siberian Federal University. Mathematics & Physics 3 AIMS Mathematics 3 Electronic Research Archive 2 Mathematical Notes 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Mathematics of Computation 2 Applied Mathematics and Optimization 2 Automatica 2 International Journal of Mathematics and Mathematical Sciences 2 Numerical Functional Analysis and Optimization 2 Numerische Mathematik 2 Siberian Mathematical Journal 2 Acta Applicandae Mathematicae 2 Bulletin of the Iranian Mathematical Society 2 Acta Mathematicae Applicatae Sinica. English Series 2 Japan Journal of Industrial and Applied Mathematics 2 Advances in Engineering Software 2 Cybernetics and Systems Analysis 2 Communications in Numerical Methods in Engineering 2 Journal of Mathematical Sciences (New York) 2 Filomat 2 Journal of Mathematical Chemistry 2 Nonlinear Dynamics 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 European Journal of Mechanics. B. Fluids 2 Journal of Dynamical and Control Systems 2 Mathematical Modelling and Analysis 2 Discrete and Continuous Dynamical Systems. Series B 2 Discrete and Continuous Dynamical Systems. Series S 2 Asian-European Journal of Mathematics 2 Advances in Numerical Analysis 2 International Journal for Numerical Methods in Biomedical Engineering 2 Evolution Equations and Control Theory 2 East Asian Journal on Applied Mathematics 2 Mechanics of Solids 2 Results in Applied Mathematics 1 International Journal of Modern Physics B 1 Computers and Fluids 1 International Journal of Control 1 Indian Journal of Pure & Applied Mathematics 1 Journal of the Franklin Institute 1 Journal of Mathematical Biology ...and 91 more Serials all top 5 Cited in 35 Fields 867 Numerical analysis (65-XX) 694 Partial differential equations (35-XX) 203 Classical thermodynamics, heat transfer (80-XX) 163 Mechanics of deformable solids (74-XX) 102 Fluid mechanics (76-XX) 64 Operator theory (47-XX) 58 Ordinary differential equations (34-XX) 29 Calculus of variations and optimal control; optimization (49-XX) 29 Optics, electromagnetic theory (78-XX) 24 Potential theory (31-XX) 24 Integral equations (45-XX) 22 Biology and other natural sciences (92-XX) 15 Probability theory and stochastic processes (60-XX) 14 Real functions (26-XX) 13 Systems theory; control (93-XX) 11 Integral transforms, operational calculus (44-XX) 10 Statistics (62-XX) 6 Mechanics of particles and systems (70-XX) 6 Information and communication theory, circuits (94-XX) 5 Approximations and expansions (41-XX) 5 Computer science (68-XX) 5 Geophysics (86-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Operations research, mathematical programming (90-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 History and biography (01-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Functional analysis (46-XX) 2 Quantum theory (81-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) Citations by Year