Introduction to Applied Mathematics

Three-Dimensional Network Model for Coupling of Fracture and Mass Transport in Quasi-Brittle Geomaterials

Grassl, P., & Bolander, J. (2016) · Materials · doi:10.3390/ma9090782 · Cited by 56

Dynamic Load Analysis of Spur Gears Using a New Tooth Profile

Yoon, K. Y., & Rao, S. S. (1996) · Journal of Mechanical Design · doi:10.1115/1.2826851 · Cited by 56

Systems biology of neurodegenerative diseases

Wood, L. B., Winslow, A. R., & Strasser, S. D. (2015) · Integrative Biology · doi:10.1039/c5ib00031a · Cited by 56

WAVELET BASED GREEN'S FUNCTION APPROACH TO 2D PDEs

Amaratunga, K. S., & Williams, J. R. (1993) · Engineering Computations · doi:10.1108/eb023913 · Cited by 55

Likelihood and Bayesian Prediction of Chaotic Systems

Berliner, L. M. (1991) · Journal of the American Statistical Association · doi:10.1080/01621459.1991.10475137 · Cited by 55

Mechanistic Principles of Colloidal Crystal Growth by Evaporation-Induced Convective Steering

Brewer, D. D., Allen, J. W., Miller, M. R., et al. (2008) · Langmuir · doi:10.1021/la802180d · Cited by 53

APPLICATION OF THE SPECTRAL FINITE ELEMENT METHOD TO TURBULENT BOUNDARY LAYER INDUCED VIBRATION OF PLATES

Birgersson, F., Ferguson, N. S., & Finnveden, S. (2003) · Journal of Sound and Vibration · doi:10.1006/jsvi.2002.5127 · Cited by 52

Effective modelling of spatial buckling of beam assemblages, accounting for warping constraints and rotation‐dependency of moments

Saleeb, A. F., Chang, T. Y., & Gendy, A. S. (1992) · International Journal for Numerical Methods in Engineering · doi:10.1002/nme.1620330303 · Cited by 52

Topology and cascading line outages in power grids

Pepyne, D. L. (2007) · Journal of Systems Science and Systems Engineering · doi:10.1007/s11518-007-5044-8 · Cited by 51

Canonical Duality Theory: Connections between Nonconvex Mechanics and Global Optimization

Gao, D. Y., & Sherali, H. D. (2009) · Advances in mechanics and mathematics · doi:10.1007/978-0-387-75714-8_8 · Cited by 49

SPECTRAL ELEMENT SIMULATIONS OF UNSTEADY FORCED CONVECTIVE HEAT TRANSFER: APPLICATION TO COMPACT HEAT EXCHANGER GEOMETRIES

Amon, C. H., & Mikic, B. B. (1991) · Numerical Heat Transfer Part A Applications · doi:10.1080/10407789108944835 · Cited by 50

INTRODUCTION TO NUMERICAL ANALYSIS

Osswald, T. A., & Hernandez-Ortiz, J. P. (2006) · Carl Hanser Verlag GmbH & Co. KG eBooks · doi:10.1007/978-3-446-41286-6_8 · Cited by 49

A Hamilton-Jacobi-Bellman Approach to High Angular Resolution Diffusion Tractography

Pichon, É., Westin, C., & Tannenbaum, A. (2005) · Lecture notes in computer science · doi:10.1007/11566465_23 · Cited by 49

Cell Segregation and Lysis Have Profound Effects on the Growth of Escherichia coli in High Cell Density Fed Batch Cultures

Andersson, L., Strandberg, L., & Enfors, S. (1996) · Biotechnology Progress · doi:10.1021/bp950069o · Cited by 49

On multiple delamination buckling and growth in composite plates

Larsson, P. (1991) · International Journal of Solids and Structures · doi:10.1016/0020-7683(91)90065-n · Cited by 49

Anti-Hebbian learning in topologically constrained linear networks: a tutorial

Palmieri, F., Zhu, J., & Chang, C. (1993) · IEEE Transactions on Neural Networks · doi:10.1109/72.248453 · Cited by 49

Convective‐Reactive CO 2 Dissolution in Aquifers With Mass Transfer With Immobile Water

Babaei, M., & Islam, A. W. (2018) · Water Resources Research · doi:10.1029/2018wr023150 · Cited by 47

Karmarkar’s algorithm and its place in applied mathematics

Strang, G. (1987) · The Mathematical Intelligencer · doi:10.1007/bf03025891 · Cited by 47

Interactive topology-aware surface reconstruction

Sharf, A., Lewiner, T., Shklarski, G., Toledo, S., & Cohen‐Or, D. (2007) · ACM Transactions on Graphics · doi:10.1145/1276377.1276431 · Cited by 47

Smoothing constrained generalized linear models with an application to the Lee-Carter model

Currie, I. D. (2013) · Statistical Modelling · doi:10.1177/1471082x12471373 · Cited by 45

Hierarchical Optimization Time Integration for CFL-Rate MPM Stepping

Wang, X., Li, M., Fang, Y., et al. (2020) · ACM Transactions on Graphics · doi:10.1145/3386760 · Cited by 46

On the Asymptotic Expansion of the Spheroidal Wave Function and Its Eigenvalues for Complex Size Parameter

Barrowes, B. E., O'Neill, K. A., Grzegorczyk, T. M., et al. (2004) · Studies in Applied Mathematics · doi:10.1111/j.0022-2526.2004.01526.x · Cited by 44

GPU friendly fast Poisson solver for structured power grid network analysis

Shi, J., Cai, Y., Hou, W., et al. (2009) · Proceedings - ACM IEEE Design Automation Conference · doi:10.1145/1629911.1629961 · Cited by 42

Nonconvex Semi-Linear Problems and Canonical Duality Solutions

Gao, D. Y. (2003) · Advances in mechanics and mathematics · doi:10.1007/978-1-4613-0247-6_5 · Cited by 40

Solution of augmented linear systems using orthogonal factorizations

Björck, Å., & Paige, C. C. (1994) · BIT Numerical Mathematics · doi:10.1007/bf01935013 · Cited by 42

An Observing System Experiment for Typhoon Conson (2004) Using a Singular Vector Method and DOTSTAR Data

Yamaguchi, M., Iriguchi, T., Nakazawa, T., et al. (2009) · Monthly Weather Review · doi:10.1175/2009mwr2683.1 · Cited by 42

- GEM User’s Guide

Little, K. W. (2012) · CRC Press eBooks · doi:10.1201/b12213-6 · Cited by 41

Estimation of Potentials in Lithium-Ion Batteries Using Machine Learning Models

Li, W., Limoge, D. W., Zhang, J., et al. (2021) · IEEE Transactions on Control Systems Technology · doi:10.1109/tcst.2021.3071643 · Cited by 41

Free‐energy model of asymmetry in side‐chain liquid‐crystalline diblock copolymers

Anthamatten, M., & Hammond, P. T. (2001) · Journal of Polymer Science Part B Polymer Physics · doi:10.1002/polb.10027 · Cited by 40

Introduction to the Finite Element Method

Langlois, W. E., & Deville, M. (2013) · Springer eBooks · doi:10.1007/978-3-319-03835-3_10 · Cited by 39

Necessary and sufficient conditions for global stability and uniqueness in finite element simulations of adaptive bone remodeling

Harrigan, T. P., & Hamilton, J. J. (1994) · International Journal of Solids and Structures · doi:10.1016/0020-7683(94)90178-3 · Cited by 39

Design of improved protein inhibitors of HIV‐1 cell entry: Optimization of electrostatic interactions at the binding interface

Green, D. F., & Tidor, B. (2005) · Proteins Structure Function and Bioinformatics · doi:10.1002/prot.20540 · Cited by 38

Linear elasticity of planar delaunay networks. Part II: Voigt and Reuss bounds, and modification for centroids

Ostoja‐Starzewski, M., & Wang, C. (1990) · Acta Mechanica · doi:10.1007/bf01176087 · Cited by 38

A practitioner’s guide to quantum algorithms for optimisation problems

Symons, B. C. B., Galvin, D., Sahin, E., Alexandrov, V., & Mensa, S. (2023) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8121/ad00f0 · Cited by 43

Criterion for limit cycle-free state-space digital filters with external disturbances and generalized overflow non-linearities

Kokil, P., Arockiaraj, S. X., & Kar, H. (2016) · Transactions of the Institute of Measurement and Control · doi:10.1177/0142331216680287 · Cited by 37

Optimality conditions for finite element simulation of adaptive bone remodeling

Harrigan, T. P., & Hamilton, J. J. (1992) · International Journal of Solids and Structures · doi:10.1016/0020-7683(92)90147-l · Cited by 37

Coupled damage-plasticity constitutive model and direct stress interpolation

Ibrahimbegović, A., Jehel, P., & Davenne, L. (2007) · Computational Mechanics · doi:10.1007/s00466-007-0230-6 · Cited by 36

Structure of aura and co-occurrence matrices for the Gibbs texture model

Picard, R. W., & Elfadel, I. M. (1992) · Journal of Mathematical Imaging and Vision · doi:10.1007/bf00123878 · Cited by 36

Nonlinear Damped Vibrations of a Laminated Composite Plate Subjected to Blast Load

Kazancı, Z., & Mecitoğlu, Z. (2006) · AIAA Journal · doi:10.2514/1.17620 · Cited by 36

Constitutive model of coupled damage-plasticity and its finite element implementation

Ibrahimbegović, A., Markovič, D., & Gatuingt, F. (2003) · Revue Européenne des Éléments Finis · doi:10.3166/reef.12.381-405 · Cited by 36

Approximate formulas of average distances associated with regions and their applications to location problems

Koshizuka, T., & Kurita, O. (1991) · Mathematical Programming · doi:10.1007/bf01582882 · Cited by 36

Simultaneous Estimation of System and Input Parameters from Output Measurements

Shi, T., Jones, N. P., & Ellis, J. H. (2000) · Journal of Engineering Mechanics · doi:10.1061/(asce)0733-9399(2000)126:7(746 · Cited by 36

Three-Dimensional Network Model for Coupling of Fracture and Mass Transport in Quasi-Brittle Geomaterials.

Grassl, P., & Bolander, J. E. (2016) · eScholarship (California Digital Library) · Cited by 35

A three-dimensional network model describing a non-linear composite material

Mårtensson, E., & Gäfvert, U. (2003) · Journal of Physics D Applied Physics · doi:10.1088/0022-3727/37/1/019 · Cited by 35

RECONSTRUCTION AND VISUALIZATION OF EQUIVALENT CURRENTS ON A RADOME USING AN INTEGRAL REPRESENTATION FORMULATION

Persson, K. A., Gustafsson, M., & Kristensson, G. (2010) · Progress In Electromagnetics Research B · doi:10.2528/pierb10012109 · Cited by 35

Duality in mathematics and linear and integer programming

Williams, H. P. (1996) · Journal of Optimization Theory and Applications · doi:10.1007/bf02189998 · Cited by 35

Monitoring an effusive eruption at Piton de la Fournaise using radar and thermal infrared remote sensing data: insights into the October 2010 eruption and its lava flows

Bato, M. G., Froger, J., Harris, A. J. L., et al. (2016) · Geological Society London Special Publications · doi:10.1144/sp426.30 · Cited by 35

Fast Transform Based Preconditioners for Toeplitz Equations

Boman, E. C., & Koltracht, I. (1995) · SIAM Journal on Matrix Analysis and Applications · doi:10.1137/s0895479893254269 · Cited by 35

Role of the metric in forecast error growth: how chaotic is the weather?

Orrell, D. (2002) · Tellus A Dynamic Meteorology and Oceanography · doi:10.3402/tellusa.v54i4.12159 · Cited by 34

Insights Into Traumatic Brain Injury From MRI of Harmonic Brain Motion

Okamoto, R. J., Romano, A. J., Johnson, C. L., & Bayly, P. V. (2019) · Journal of Experimental Neuroscience · doi:10.1177/1179069519840444 · Cited by 32

A little more on stabilized Q1Q1 for transient viscous incompressible flow

Gresho, P. M., Chan, S. T., Christon, M., et al. (1995) · International Journal for Numerical Methods in Fluids · doi:10.1002/fld.1650211005 · Cited by 33

Frequency‐Dependent Continuum Electromagnetic Properties of a Gas of Scattering Centers

Lakhtakia, A. (1993) · Advances in chemical physics · doi:10.1002/9780470141441.ch4 · Cited by 33

Interpretations of the total energy and rotational energy norms applied to determination of singular vectors

Errico, R. M. (2000) · Quarterly Journal of the Royal Meteorological Society · doi:10.1002/qj.49712656602 · Cited by 31

Design of unknown input fractional order proportional–integral observer for fractional order singular systems with application to actuator fault diagnosis

Komachali, F. P., Shafiee, M., & Darouach, M. (2019) · IET Control Theory and Applications · doi:10.1049/iet-cta.2018.5712 · Cited by 32

Motion magnification

Liu, C., Torralba, A. B., Freeman, W. T., Durand, F., & Adelson, E. H. (2005) · ACM SIGGRAPH Conference (SIGGRAPH) · doi:10.1145/1186822.1073223 · Cited by 31

Inferring Transactions from Financial Statements*

Arya, A., Fellingham, J. C., Glover, J. C., et al. (2000) · Contemporary Accounting Research · doi:10.1506/l0lw-nx5l-4wur-9jkl · Cited by 32

Equivalent spatial and material descriptions of finite deformation elastoplasticity in principal axes

Ibrahimbegović, A. (1994) · International Journal of Solids and Structures · doi:10.1016/0020-7683(94)90039-6 · Cited by 32

An Experimental Design for Static Eccentricity Detection in Synchronous Machines Using a Cramér–Rao Lower Bound Technique

Doorsamy, W., Abouelyazied, A., Cronjé, W. A., & Dupré, L. R. (2014) · IEEE Transactions on Energy Conversion · doi:10.1109/tec.2014.2347895 · Cited by 31

Dynamic modelling of the brushless doubly fed machine

Roberts, P. C., Long, T., McMahon, R., et al. (2013) · IET Electric Power Applications · doi:10.1049/iet-epa.2012.0293 · Cited by 30

Estimation of impact location on concrete column

Zhu, J., Ho, S. C. M., Kong, Q., et al. (2017) · Smart Materials and Structures · doi:10.1088/1361-665x/aa6768 · Cited by 30

Removal of zero-point drift from AB data and the statistical cost

Swanson, H. E., & Schlamminger, S. (2010) · Measurement Science and Technology · doi:10.1088/0957-0233/21/11/115104 · Cited by 29

Block Power Method for SVD Decomposition

Bentbib, A. H., & Kanber, A. (2015) · Analele Universităţii "Ovidius" Constanţa. Seria Matematică · doi:10.1515/auom-2015-0024 · Cited by 29

Projection operator method for geometry optimization with constraints

Lu, D.-H., Zhao, M., & Truhlar, D. G. (1991) · Journal of Computational Chemistry · doi:10.1002/jcc.540120311 · Cited by 29

Using a priori structural information from magnetic resonance imaging to investigate the feasibility of prostate diffuse optical tomography and spectroscopy: A simulation study

Li, C., Liengsawangwong, R., Choi, H., & Cheung, R. M. (2006) · Medical Physics · doi:10.1118/1.2400614 · Cited by 28

DAMPING FUNCTION ESTIMATION BASED ON MEASURED VIBRATION FREQUENCY RESPONSES AND FINITE-ELEMENT DISPLACEMENT MODES

Dalenbring, M. J. (1999) · Mechanical Systems and Signal Processing · doi:10.1006/mssp.1999.1221 · Cited by 28

Role of the metric in forecast error growth: how chaotic is the weather?

Orrell, D. (2002) · Tellus A Dynamic Meteorology and Oceanography · doi:10.1034/j.1600-0870.2002.01389.x · Cited by 28

Nonstationary and nonlinear response of a p-i-n photodiode made of a two-valley semiconductor

Radunovic, J. B., & Gvozdić, D. M. (1993) · IEEE Transactions on Electron Devices · doi:10.1109/16.216427 · Cited by 28

First quantum investigation of the photodissociation of the Ar–HBr complex: three-dimensional time-dependent approach

Monnerville, M., & Pouilly, B. (1998) · Chemical Physics Letters · doi:10.1016/s0009-2614(98)00891-4 · Cited by 28

Scaling relationships of leaf vein and areole traits versus leaf size for nine Magnoliaceae species differing in venation density

Shi, P., Miao, Q., Niinemets, Ü., et al. (2022) · American Journal of Botany · doi:10.1002/ajb2.1856 · Cited by 27

IOSS Criterion for the Absence of Limit Cycles in Interfered Digital Filters Employing Saturation Overflow Arithmetic

Ahn, C. K. (2012) · Circuits Systems and Signal Processing · doi:10.1007/s00034-012-9520-0 · Cited by 27

A mountain pass method for the numerical solution of semilinear wave equations

Choi, Y. S., McKenna, P. J., & Romano, M. (1993) · Numerische Mathematik · doi:10.1007/bf01388701 · Cited by 27

Determination of Saharan dust radiance and chlorophyll from CZCS imagery

Carder, K. L., Gregg, W. W., Costello, D. K., et al. (1991) · Journal of Geophysical Research Atmospheres · doi:10.1029/89jd03280 · Cited by 27

Constraint fusion for recognition and localization of articulated objects

Hel-Or, Y., & Werman, M. (1996) · International Journal of Computer Vision · doi:10.1007/bf00131146 · Cited by 27

Asymptotic Stability of Fixed-Point State-Space Digital Filters with Saturation Arithmetic and External Disturbance: An IOSS Approach

Kokil, P., & Shinde, S. S. (2015) · Circuits Systems and Signal Processing · doi:10.1007/s00034-015-0050-4 · Cited by 25

Iteratively Reweighted Least Squares

Jorgensen, M. A. (2006) · Encyclopedia of Environmetrics · doi:10.1002/9780470057339.vai022 · Cited by 27

Spatiotemporal Stereo and Scene Flow via Stequel Matching

Sizintsev, M., & Wildes, R. P. (2011) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/tpami.2011.202 · Cited by 25

Non-destructive parametric system identification and damage detection in truss structures by static tests

Viola, E., & Bocchini, P. (2011) · Structure and Infrastructure Engineering · doi:10.1080/15732479.2011.560164 · Cited by 25

Application of the dual active set algorithm to quadratic network optimization

Hager, W. W., & Hearn, D. W. (1993) · Computational Optimization and Applications · doi:10.1007/bf00248762 · Cited by 25

Canonical Duality-Triality Theory: Bridge Between Nonconvex Analysis/Mechanics and Global Optimization in Complex System

Gao, D. Y., Ruan, N., & Latorre, V. (2017) · Advances in mechanics and mathematics · doi:10.1007/978-3-319-58017-3_1 · Cited by 22

Double critical coupled ring resonator-based add–drop filters

Bahadoran, M., & Amiri, I. S. (2019) · Journal of theoretical and applied physics · doi:10.1007/s40094-019-00343-7 · Cited by 24

Spectral decomposition-based fast pressure integration algorithm

Wang, C. Y., Gao, Q., Wei, R., et al. (2017) · Experiments in Fluids · doi:10.1007/s00348-017-2368-0 · Cited by 24

An efficient method of selecting ocean observing locations for capturing the leading modes and reconstructing the full field

Zhang, Y., & Bellingham, J. G. (2008) · Journal of Geophysical Research Atmospheres · doi:10.1029/2007jc004327 · Cited by 24

Elements of Statistical Computing: Numerical Computation

Steele, M. (1989) · Technometrics · doi:10.1080/00401706.1989.10488600 · Cited by 24

Scale space tracking and deformable sheet models for computational vision

Whitten, G. (1993) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/34.221170 · Cited by 24

Solutions of underdetermined systems of linear equations

Madych, W. R. (1991) · Lecture notes-monograph series · doi:10.1214/lnms/1215460504 · Cited by 23

Dynamic Pressure of Water and Sediment on Rigid Dam

Chen, B.-F., & Hung, T. (1993) · Journal of Engineering Mechanics · doi:10.1061/(asce)0733-9399(1993)119:7(1411 · Cited by 23

Matrix Modeling Methods for Spaceflight Campaign Logistics Analysis

Siddiqi, A., Weck, O. L. D., Lee, G. Y., et al. (2009) · Journal of Spacecraft and Rockets · doi:10.2514/1.43319 · Cited by 23

Stability of Masonry Piers and Arches

Boothby, T. E., & Brown, C. B. (1992) · Journal of Engineering Mechanics · doi:10.1061/(asce)0733-9399(1992)118:2(367 · Cited by 23

Computer Vision, Descriptive Geometry, and Classical Mechanics

Hoffmann, C. M. (1992) · Springer eBooks · doi:10.1007/978-3-642-77586-4_15 · Cited by 23

Hyper-Laplacian Regularized Multi-View Clustering with Exclusive L21 Regularization and Tensor Log-Determinant Minimization Approach

Luo, Q., Yang, M., Li, W., & Xiao, M. (2023) · ACM Transactions on Intelligent Systems and Technology · doi:10.1145/3587034 · Cited by 23

A new modified SSOR iteration method for solving augmented linear systems

Najafi, H. S., & Edalatpanah, S. A. (2013) · International Journal of Computer Mathematics · doi:10.1080/00207160.2013.792923 · Cited by 22

Enhanced matrix spectroscopy: The preconditioned Green-function block Lanczos algorithm

Minehardt, T. J., Adcock, J. D., & Wyatt, R. E. (1997) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.56.4837 · Cited by 22

Mixed convolved action for classical and fractional-derivative dissipative dynamical systems

Dargush, G. F. (2012) · Physical Review E · doi:10.1103/physreve.86.066606 · Cited by 21

Criterion for realizing state-delayed digital filters subjected to external interference employing saturation arithmetic

Kokil, P., Parthipan, C., Jogi, S., et al. (2018) · Cluster Computing · doi:10.1007/s10586-018-2530-3 · Cited by 21

A Six Sigma Approach to Predicting Corporate Defaults

Neagu, R., & Hoerl, R. W. (2005) · Quality and Reliability Engineering International · doi:10.1002/qre.632 · Cited by 21

Free-Form Geometric Modeling by Integrating Parametric and Implicit PDEs

Du, H., & Qin, H. Y. (2007) · IEEE Transactions on Visualization and Computer Graphics · doi:10.1109/tvcg.2007.1004 · Cited by 21

Analysis of Protein-Nucleic Acid and Protein-Protein Interactions Using Multi-Wavelength Scans from the XL-A Analytical Ultracentrifuge

Lewis, M. S., Shrager, R. I., & Kim, S. (1994) · Birkhäuser Boston eBooks · doi:10.1007/978-1-4684-6828-1_6 · Cited by 21

Tracer Inverse Problems

Wunsch, C. I. (1989) · Springer eBooks · doi:10.1007/978-94-009-1013-3_1 · Cited by 21

A General Lagrangian Formulation for the Computation of A Posteriori Finite Element Bounds

Patera, A. T., & Peraire, J. (2003) · Lecture notes in computational science and engineering · doi:10.1007/978-3-662-05189-4_4 · Cited by 21

Parallel experimentation: A basic scheme for dynamic efficiency

Ellerman, D. (2014) · Journal of Bioeconomics · doi:10.1007/s10818-014-9175-y · Cited by 21

Prim�rzerlegung in Steinschen Algebren

Förster, O. (1964) · Mathematische Annalen · doi:10.1007/bf01362567 · Cited by 32

�ber unirationale Scharen auf algebraischen Mannigfaltigkeiten

Reich, L. (1966) · Mathematische Annalen · doi:10.1007/bf01364537 · Cited by 4

Algebraic Set Operations, Multifunctions, and Indefinite Integrals

Jovanović, M. V., & Jungić, V. M. (1996) · Mathematics Magazine · doi:10.2307/2691279

Produkttreue Klassen universeller Algebren

Timm, J. (1969) · Archiv der Mathematik · doi:10.1007/bf01899454 · Cited by 1

Approximation of fixed points of multifunctions in partial metric spaces

Paesano, D. (2015) · Hacettepe Journal of Mathematics and Statistics · doi:10.15672/hjms.2015449088