Introduction to Applied Mathematics

An Introduction to the Mechanics of Incompressible Fluids

Deville, M. (2022) · Springer eBooks · doi:10.1007/978-3-031-04683-4 · Cited by 20

Non‐Fourier‐encoded parallel MRI using multiple receiver coils

Mitsouras, D., Hoge, W. S., Rybicki, F. J., et al. (2004) · Magnetic Resonance in Medicine · doi:10.1002/mrm.20172 · Cited by 20

On the Design of Pattern Sequences for Spread Spectrum Image Watermarking

Mayer, J., Silvério, A. V., & Bermudez, J. C. M. (2002) · Anais do 2002 International Telecommunications Symposium · doi:10.14209/its.2002.292 · Cited by 20

Mild Solution for the Time-Fractional Navier–Stokes Equation Incorporating MHD Effects

Shafqat, R., Niazi, A. U. K., Yavuz, M., et al. (2022) · Fractal and Fractional · doi:10.3390/fractalfract6100580 · Cited by 19

Robust stability of recurrent neural networks with ISS learning algorithm

Ahn, C. K. (2010) · Nonlinear Dynamics · doi:10.1007/s11071-010-9901-5 · Cited by 19

A new condition for the elimination of overflow oscillations in direct form digital filters

Ahn, C. K. (2012) · International Journal of Electronics · doi:10.1080/00207217.2012.680185 · Cited by 19

Induced l∞ stability of fixed-point digital filters without overflow oscillations and instability due to finite word length effects

Ahn, C. K., & Lee, Y. S. (2012) · Advances in Difference Equations · doi:10.1186/1687-1847-2012-51 · Cited by 19

Bayesian inference of ocean diffusivity from Lagrangian trajectory data

Ying, Y. K., Maddison, J. R., & Vanneste, J. (2019) · Ocean Modelling · doi:10.1016/j.ocemod.2019.101401 · Cited by 19

Overflow oscillations free implementation of state-delayed digital filter with saturation arithmetic and external disturbance

Parthipan, C., & Kokil, P. (2019) · Transactions of the Institute of Measurement and Control · doi:10.1177/0142331219865058 · Cited by 19

Robust Analytical Redundancy Relations for Fault Diagnosis In Nonlinear Systems

Shumsky, A. Y. (2002) · Asian Journal of Control · doi:10.1111/j.1934-6093.2002.tb00342.x · Cited by 19

Radix-2 Self-Recursive Sparse Factorizations of Delay Vandermonde Matrices for Wideband Multi-Beam Antenna Arrays

Perera, S. M., Madanayake, A., & Cintra, R. J. (2020) · IEEE Access · doi:10.1109/access.2020.2970342 · Cited by 18

Contributions to automated realtime underwater navigation

Stanway, M. J. (2012) · doi:10.1575/1912/5095 · Cited by 18

Identification of error sources in a five-axis machine tool using FFT analysis

Zargarbashi, S. H. H., & Angeles, J. (2014) · The International Journal of Advanced Manufacturing Technology · doi:10.1007/s00170-014-6323-4 · Cited by 18

Operability‐based determination of feasible control constraints for several high‐dimensional nonsquare industrial processes

Lima, F. V., Georgakis, C., Smith, J. F., et al. (2009) · AIChE Journal · doi:10.1002/aic.11897 · Cited by 18

Extracting Infrared Spectra of Protein Secondary Structures Using a Library of Protein Spectra and the Ramachandran Plot

Coe, J. V., Nystrom, S. V., Chen, Z., Li, R., Verreault, D., Hitchcock, C. L., Martin, E. W., & Allen, H. C. (2015) · The Journal of Physical Chemistry B · doi:10.1021/acs.jpcb.5b08052 · Cited by 16

Assimilating data into scientific models: An optimal coupling perspective

Cheng, Y., & Reich, S. (2015) · Frontiers in applied dynamical systems: reviews and tutorials · doi:10.1007/978-3-319-18347-3_2 · Cited by 19

Conductivity simulations of field-grading composites

Nilsson, F., & Unge, M. (2016) · Journal of Physics D Applied Physics · doi:10.1088/0022-3727/49/33/335303 · Cited by 18

Three-dimensional magneto-thermo-elastic analysis of functionally graded cylindrical shell

Mehditabar, A., Rahimi, G., & Sadrabadi, S. A. (2017) · Applied Mathematics and Mechanics · doi:10.1007/s10483-017-2186-6 · Cited by 18

Real-time inverse dynamics control of parallel manipulators using general-purpose multibody software

Fumagalli, A., & Masarati, P. (2009) · Multibody System Dynamics · doi:10.1007/s11044-009-9153-7 · Cited by 18

Input–output operability of control systems: The steady-state case

Lima, F. V., & Georgakis, C. (2010) · Journal of Process Control · doi:10.1016/j.jprocont.2010.04.008 · Cited by 18

Finite‐difference methods for solving the reaction‐diffusion equations of a simple isothermal chemical system

Twizell, E. H., Wang, Y., Price, W. G., et al. (1994) · Numerical Methods for Partial Differential Equations · doi:10.1002/num.1690100404 · Cited by 18

Exact time evolution methods for large bound systems

Iung, C., & Leforestier, C. (1991) · Computer Physics Communications · doi:10.1016/0010-4655(91)90245-g · Cited by 18

Minimum Norm Estimation of Current Distributions in Realistic Geometries

Crowley, C. W., Greenblatt, R. E., & Khalil, I. (1989) · Springer eBooks · doi:10.1007/978-1-4613-0581-1_133 · Cited by 18

Ensemble Forecasting in a System with Model Error

Orrell, D. (2005) · Journal of the Atmospheric Sciences · doi:10.1175/jas3406.1 · Cited by 17

Analysis, characterization and accuracy improvement of optical coordinate measurement systems for car body assembly quality control

Martín, J. J. A., Sanz, M., Guillomía, D., et al. (2006) · The International Journal of Advanced Manufacturing Technology · doi:10.1007/s00170-005-0143-5 · Cited by 17

Analysis, Synthesis, and Classification of Nonlinear Systems Using Synchronized Swept-Sine Method for Audio Effects

Novák, A., Simon, L., & Lotton, P. (2010) · EURASIP Journal on Advances in Signal Processing · doi:10.1155/2010/793816 · Cited by 17

Singular vectors for moisture‐measuring norms

Errico, R. M., Raeder, K., & Ehrendorfer, M. (2004) · Quarterly Journal of the Royal Meteorological Society · doi:10.1256/qj.02.227 · Cited by 17

Design and hybrid realization of FIR Nyquist filters with quantized coefficients and low sensitivity to timing jitter

Boonyanant, P., & Tantaratana, S. (2004) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2004.838968 · Cited by 16

Rigorous convergence analysis of alternating variable minimization with multiplier methods for quadratic programming problems with equality constraints

Bai, Z., & Tao, M. (2015) · BIT Numerical Mathematics · doi:10.1007/s10543-015-0563-z · Cited by 16

Image-Based Finite Element Analysis

Boyd, S. K. (2008) · Springer eBooks · doi:10.1007/978-3-540-68993-5_14 · Cited by 17

Built-in Electric Field Minimization in (In, Ga)N Nanoheterostructures

Liang, Z., Wildeson, I. H., Colby, R. J., et al. (2011) · Nano Letters · doi:10.1021/nl1044605 · Cited by 16

Semispan model wall interference prediction based on the wall signature method

Ulbrich, N. M., & Steinle, R. F. (1995) · AIAA Aerospace Sciences Meeting and Exhibit · doi:10.2514/6.1995-793 · Cited by 16

The Effect of Imprecisions in Thermal Sensor Location and Boundary Conditions on Optimal Sensor Location and Experimental Accuracy

Emery, A. F., & Fadale, T. D. (1997) · ASME Journal of Heat and Mass Transfer · doi:10.1115/1.2824169 · Cited by 16

Multidimensional reactive scattering with quantum trajectories

Wyatt, R. E., & Babyuk, D. (2006) · Physical Review E · doi:10.1103/physreve.73.046701 · Cited by 16

Trackability as a cue for potential obstacle identification and 3-D description

Sawhney, H., & Hanson, A. R. (1993) · International Journal of Computer Vision · doi:10.1007/bf01469344 · Cited by 16

Efficient and Self-Recursive Delay Vandermonde Algorithm for Multi-beam Antenna Arrays

Perera, S. M., Madanayake, A., & Cintra, R. J. (2020) · IEEE Open Journal of Signal Processing · doi:10.1109/ojsp.2020.2991586 · Cited by 15

Parallel experimentation and the problem of variation

Ellerman, D. (2004) · Knowledge, technology & policy/Knowledge in society/Knowledge, technology, & policy · doi:10.1007/s12130-004-1016-1 · Cited by 15

Optimal needle placement for the accurate magnetic material quantification based on uncertainty analysis in the inverse approach

Abdallh, A. M. A., Crevecoeur, G., & Dupré, L. R. (2010) · Measurement Science and Technology · doi:10.1088/0957-0233/21/11/115703 · Cited by 15

Tunable higher-order sideband spectra in a waveguide-coupled photonic crystal molecule beyond the weak-excitation approximation

Li, J., Yu, R., & Wu, Y. (2014) · Physical Review A · doi:10.1103/physreva.89.015802 · Cited by 16

Selection of Measurement Modality for Magnetic Material Characterization of an Electromagnetic Device Using Stochastic Uncertainty Analysis

Abdallh, A. M. A., Crevecoeur, G., & Dupré, L. R. (2011) · IEEE Transactions on Magnetics · doi:10.1109/tmag.2011.2151870 · Cited by 15

Application of Synchronization to Cooperative Control and Formation Flight of Spacecraft

Chung, S., Ahsun, U., Slotine, J.-J. E., et al. (2007) · AIAA Guidance, Navigation, and Control Conference and Exhibit · doi:10.2514/6.2007-6861 · Cited by 15

Novel Results for Induced l∞ Stability for Digital Filters with External Noise

Kokil, P., & Arockiaraj, S. X. (2017) · Fluctuation and Noise Letters · doi:10.1142/s0219477517500328 · Cited by 15

Closed-loop systems for drug delivery

Fields, A. M., Fields, K. M., & Cannon, J. W. (2008) · Current Opinion in Anaesthesiology · doi:10.1097/aco.0b013e3283007ecc · Cited by 15

A new inverse method for trace gas flux estimation: 1. State‐space model identification and constraints

Mulquiney, J. E., & Norton, J. P. (1998) · Journal of Geophysical Research Atmospheres · doi:10.1029/97jd01812 · Cited by 15

Paradox lost: Natural boundary conditions in the Ritz–Galerkin method

Storch, J. A., & Strang, G. (1988) · International Journal for Numerical Methods in Engineering · doi:10.1002/nme.1620261009 · Cited by 15

A new method to determine trabecular bone elastic properties and loading using micromechanical finite-element models

van Rietbergen, B., Weinans, H., Huiskes, R., & Odgaard, A. (1995) · Journal of Biomechanics · doi:10.1016/0021-9290(95)80008-5 · Cited by 865

Large Scale Inverse Problems

Cullen, M., Freitag, M. A., Kindermann, S., & Scheichl, R. (2013) · De Gruyter eBooks · doi:10.1515/9783110282269 · Cited by 14

A Note on the Induced $${\varvec{l}}_\infty $$ l ∞ Stability of Fixed-Point Digital Filters Without Overflow Oscillations and Instability Due to Finite Wordlength Effects

Kokil, P., & Shinde, S. S. (2016) · Circuits Systems and Signal Processing · doi:10.1007/s00034-016-0348-x · Cited by 14

Analysis of internal wave induced mode coupling effects on the 1995 SWARM experiment acoustic transmissions

Headrick, R. H. (1997) · doi:10.1575/1912/5730 · Cited by 14

Diffraction gratings of isotropic negative-phase velocity materials

Depine, R. A., & Lakhtakia, A. (2005) · Optik · doi:10.1016/j.ijleo.2004.11.004 · Cited by 14

A Fourier-Lanczos method for calculating energy levels without storing or calculating matrices

Charron, G., & Carrington, T. (1993) · Molecular Physics · doi:10.1080/00268979300101041 · Cited by 14

On the numerical treatment of nonconvex energy problems of mechanics

Koltsakis, E., Mistakidis, E. S., & Tzaferopoulos, M. A. (1995) · Journal of Global Optimization · doi:10.1007/bf01100087 · Cited by 14

Analytic representation of member forces in linear elastic redundant trusses

Fuchs, M. B. (1992) · International Journal of Solids and Structures · doi:10.1016/0020-7683(92)90212-c · Cited by 14

Supply Function Equilibria in Networks with Transport ConstraintsPreprint

Holmberg, P., & Philpott, A. (2012) · SSRN Electronic Journal · doi:10.2139/ssrn.2190826 · Cited by 14

A novel recursive Fourier transform for nonuniform sampled signals: application to heart rate variability spectrum estimation

Holland, A., & Aboy, M. (2009) · Medical & Biological Engineering & Computing · doi:10.1007/s11517-009-0461-0 · Cited by 12

Knowledge-Based Optimization of Molecular Geometries Using Crystal Structures

Cole, J. C., Groom, C. R., Korb, O., et al. (2016) · Journal of Chemical Information and Modeling · doi:10.1021/acs.jcim.5b00712 · Cited by 13

On the Monge-Kantorovich Problem and Image Warping

Haker, S. J., & Tannenbaum, A. (2003) · ˜The œIMA volumes in mathematics and its applications · doi:10.1007/978-1-4757-4127-8_5 · Cited by 13

An analysis of errors in the location, current, and velocity of lightning

Hager, W. W., & Wang, D. (1995) · Journal of Geophysical Research Atmospheres · doi:10.1029/95jd02527 · Cited by 13

Safe Trajectories for Autonomous Rendezvous of Spacecraft

Breger, L. S., & How, J. P. (2006) · AIAA Guidance, Navigation, and Control Conference and Exhibit · doi:10.2514/6.2006-6584 · Cited by 13

The monomial method and asymptotic properties of algebraic systems

Burns, S. A. (1994) · International Journal for Numerical Methods in Engineering · doi:10.1002/nme.1620372211 · Cited by 13

Interactive shape design using volumetric implicit PDEs

Du, H. (2003) · ACM Symposium on Solid Modeling and Applications · doi:10.1145/781606.781642 · Cited by 13

Shape Improvement of Surfaces

Hahmann, S. (1998) · Computing. Supplementum · doi:10.1007/978-3-7091-6444-0_11 · Cited by 13

The development of an advanced solid-rocket flow simulation program ROCFLO

Alavilli, P., Tafti, D. K., & Najjar, F. M. (2000) · AIAA Aerospace Sciences Meeting and Exhibit · doi:10.2514/6.2000-824 · Cited by 13

Efficient Multiscale Regularization with Applications to the Computation of Optical Flow

Luettgen, M. R., Karl, W. C., & Willsky, A. S. (1993) · Defense Technical Information Center (DTIC) · doi:10.21236/ada459986 · Cited by 13

Adaptive robust stabilization of a class of uncertain non-linear systems with mismatched time-varying parameters

Arefi, M. M., & Jahed‐Motlagh, M. R. (2011) · Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering · doi:10.1177/0959651811415002 · Cited by 12

Determination of the wall boundary condition of the NASA Ames 11ft transonic wind tunnel

Ulbrich, N. M., & Boone, A. (2001) · AIAA Aerospace Sciences Meeting and Exhibit · doi:10.2514/6.2001-1112 · Cited by 12

Propagation history ranking in social networks: A causality-based approach

Wang, Z., Wang, C., Ye, X., Pei, J., & Li, B. (2019) · Tsinghua Science & Technology · doi:10.26599/tst.2018.9010126 · Cited by 12

Safe Trajectories for Autonomous Rendezvous of Spacecraft

Breger, L. S., & How, J. P. (2007) · AIAA Guidance, Navigation, and Control Conference and Exhibit · doi:10.2514/6.2007-6860 · Cited by 12

The nonlinear dynamic response of functionally graded basalt/nickel composite plates

Baştürk, S. (2018) · Mechanics of Advanced Materials and Structures · doi:10.1080/15376494.2018.1446109 · Cited by 12

Procedure to achieve diagonal dominance using a PI/PID controller structure

CHEN, C.-L., & Munro, N. M. I. (1989) · International Journal of Control · doi:10.1080/00207178908953465 · Cited by 12

A Fast DVM Algorithm for Wideband Time-Delay Multi-Beam Beamformers

Perera, S. M., Lingsch, L., Madanayake, A., Mandal, S., & Mastronardi, N. (2022) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2022.3231182 · Cited by 11

The corrected Uzawa method for solving saddle point problems

Ma, C. F., & Zheng, Q. (2015) · Numerical Linear Algebra with Applications · doi:10.1002/nla.1983 · Cited by 11

Shape-Morphing Using Bistable Triangles With Dwell-Enhanced Stability

Alfattani, R., & Lusk, C. P. (2020) · Journal of Mechanisms and Robotics · doi:10.1115/1.4046350 · Cited by 11

A COMPARATIVE STUDY OF FINITE VOLUME AND FINITE ELEMENT ON SOME TRANSCRITICAL FREE SURFACE FLOW PROBLEMS

Boushaba, F., Chaabelasri, E., Salhi, N., et al. (2008) · International Journal of Computational Methods · doi:10.1142/s0219876208001522 · Cited by 11

Dynamic portfolio selection with nonlinear transaction costs

Chellathurai, T., & Draviam, T. (2005) · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rspa.2005.1518 · Cited by 11

Wear Simulation

Andersson, S. (2010) · Sciyo eBooks · doi:10.5772/10349 · Cited by 11

Rotation Identification in Geometric Algebra: Theory and Application to the Navigation of Underwater Robots in the Field

Stanway, M. J., & Kinsey, J. C. (2015) · Journal of Field Robotics · doi:10.1002/rob.21572 · Cited by 11

A gentle introduction to the thermodynamics of biochemical stoichiometric networks in steady state

Kschischo, M. (2010) · The European Physical Journal Special Topics · doi:10.1140/epjst/e2010-01290-3 · Cited by 11

Efficient nearest-neighbour searches using weighted euclidean metrics

Kurniawati, R., Jin, J. S., & Shepherd, J. A. (1998) · Lecture notes in computer science · doi:10.1007/bfb0053472 · Cited by 11

MR gradient response modeling to ensure excitation coherence

Reese, T. G., & Pearlman, J. D. (1994) · Journal of Magnetic Resonance Imaging · doi:10.1002/jmri.1880040410 · Cited by 11

Two distinct declining trend of autumn Arctic sea ice concentration before and after 2002

Li, Y., Jiang, Z., Yao, Y., et al. (2024) · Environmental Research Communications · doi:10.1088/2515-7620/ad2a8c · Cited by 10

Braille Document Parameters Estimation for Optical Character Recognition

Tai, Z., Cheng, S. S. M., & Verma, P. K. (2008) · Lecture notes in computer science · doi:10.1007/978-3-540-89646-3_90 · Cited by 10

On the decomposition of generalized eigenproblems for the free vibration analysis of cyclically symmetric finite element models

Koohestani, K. (2009) · International Journal for Numerical Methods in Engineering · doi:10.1002/nme.2770 · Cited by 10

Reduction of variance in spectral estimates for correction of ultrasonic aberration

Astheimer, J. P., Pilkington, W. C., & Waag, R. C. (2006) · IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control · doi:10.1109/tuffc.2006.1588393 · Cited by 10

Recursive total least squares: An alternative to using the discrete kalman filter in robot navigation

Boley, D. L., Steinmetz, E. S., & Sutherland, K. T. (1996) · Lecture notes in computer science · doi:10.1007/bfb0013963 · Cited by 10

A Moving Grid Framework for Geometric Deformable Models

Han, X., Xu, C., & Prince, J. L. (2009) · International Journal of Computer Vision · doi:10.1007/s11263-009-0231-3 · Cited by 10

Inverse problems and derivatives of determinants

Strang, G. (1991) · Archive for Rational Mechanics and Analysis · doi:10.1007/bf00385971 · Cited by 10

Support Vector Machine for Spatial Feature Extraction andClassification of Remotely Sensed Imagery

骆剑承, 中国科学院地理科学与资源研究所信息室, 周成虎, et al. (2002) · National Remote Sensing Bulletin · doi:10.11834/jrs.20020110 · Cited by 10

Modelling the molecular distribution in chevron FLCDs

Meyere, A. D., & Dahl, I. (1994) · Liquid Crystals · doi:10.1080/02678299408036579 · Cited by 10

Finite Element and Finite Difference Methods

Tezuka, A. (2011) · Springer eBooks · doi:10.1007/978-3-642-16641-9_19 · Cited by 9

Dynamic characteristics of elastically supported beam subjected to a compressive axial force and a moving load

Kien, N. D., & Hà, L. T. T. (2011) · Vietnam Journal of Mechanics · doi:10.15625/0866-7136/33/2/43 · Cited by 9

Stability of Digital Filters with State-Delay and External Interference

Parthipan, C., & Kokil, P. (2021) · Circuits Systems and Signal Processing · doi:10.1007/s00034-021-01650-8 · Cited by 9

Does SVM Really Scale Up to Large Bag of Words Feature Spaces?

Colas, F., Paclı́k, P., Kok, J. N., et al. (2007) · Lecture notes in computer science · doi:10.1007/978-3-540-74825-0_27 · Cited by 9

Active Control Schemes to Satisfy Separation Distance Constraints

Capó-Lugo, P. A., & Bainum, P. M. (2007) · Journal of Guidance Control and Dynamics · doi:10.2514/1.24371 · Cited by 9

Analysis of Regular Structures with Member Irregularity Using the Equilibrium Equations and the Singular Value Decomposition

Kaveh, A., Rahami, H., Asl, M. A., et al. (2013) · Advances in Structural Engineering · doi:10.1260/1369-4332.16.5.823 · Cited by 9

A study on the optimum scheme for determination of operation time of line feeders in automatic combination weighers

Keraita, J. N., & Kim, K.-H. (2006) · Journal of Mechanical Science and Technology · doi:10.1007/bf02916261 · Cited by 9

Wavelet-Based Estimation for Univariate Stable Laws

Antoniadis, A., Feuerverger, A., & Gonçalvés, P. (2006) · Annals of the Institute of Statistical Mathematics · doi:10.1007/s10463-006-0042-z · Cited by 9

The a(3) Scheme---A Fourth-Order Neutrally Stable CESE Solver

Chang, S.-C. (2007) · AIAA Computational Fluid Dynamics Conference · doi:10.2514/6.2007-4321 · Cited by 9

Stability Analysis and Finite Element Simulation of Bone Remodeling Model

Zidi, M., & Ramtani, S. (2000) · Journal of Biomechanical Engineering · doi:10.1115/1.1318942 · Cited by 9

POLYCAD: A finite element package for polymer process analysis and design

Vlachopoulos, J., Behncke, P., & Vlček, J. (1989) · Advances in Polymer Technology · doi:10.1002/adv.1989.060090205 · Cited by 9

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