Department of Applied Mathematics

Research output

Research output per year 1999 2021 2022 2024 2025

• 256 Article
• 41 Conference Proceeding
• 10 Patent
• 9 Review article
• 14 More
  • 7 Paper
  • 3 Chapter
  • 2 Conference article
  • 1 Exhibition/ Event/ Festival
  • 1 Other contribution

Research output per year

Research output per year

Search results

• 2025

  Shape distortion of an acoustically forced gas microbubble

  Shaw, S. J., Mar 2025, In: International Journal of Multiphase Flow. 184, 105074.

  Research output: Contribution to journal › Article › peer-review

  • Pressure Distribution 100%
  • Parametric Instability 100%

• State-dependent prox-regular sweeping process with a general nonconvex composed perturbation

  Timoshin, S. & Tolstonogov, A., 15 Apr 2025, In: Journal of Mathematical Analysis and Applications. 544, 2, 129083.

  Research output: Contribution to journal › Article › peer-review
• 2024

  A Battery-Free Wireless Tactile Sensor for Multimodal Force Perception

  Gu, H., Lu, B., Gao, Z., Wu, S., Zhang, L., Xie, L., Yi, J., Liu, Y., Nie, B., Wen, Z. & Sun, X., Sept 2024, (Accepted/In press) In: Advanced Functional Materials. 11 p., 2410661.

  Research output: Contribution to journal › Article › peer-review

  • Multimodal Processing 100%
  • Eigenfrequencies 100%
  1 Citation (Scopus)

• Advanced dual-input artificial optical synapse for recognition and generative neural network

  Liu, Z., Fang, Y., Cai, Z., Liu, Y., Dong, Z., Zheng, R., Shen, Z., Wu, R., Qu, W., Fu, J., Ru, C., Wu, Y., Gu, J., Liu, Y., Liu, Q., Zhao, C. & Wen, Z., 15 Dec 2024, In: Nano Energy. 132, 110347.

  Research output: Contribution to journal › Article › peer-review

  • Perovskites 100%
  • Neural Network 100%
  • Transistor 100%
  • Thin-Film Transistor 100%
  • Film 50%

• A general existence theorem for a multi-valued control problem

  Emamizadeh, B., Liu, Y. & Zivari-Rezapour, M., 2024, In: Comptes Rendus Mathematique. 362, p. 195-202 8 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Existence Theorem 100%

• A mixed finite element method for the forward problem of electrical impedance tomography with the shunt model

  Ma, E., 1 Dec 2024, In: Journal of Computational and Applied Mathematics. 451, 116095.

  Research output: Contribution to journal › Article › peer-review

  • Electrical Impedance 100%
  • Posedness 50%
  • Constrained Minimization 50%
  • Lagrange Multiplier 50%

• An online generalized multiscale approximation of the multipoint flux mixed finite element method

  He, Z., Chen, J., Chen, Z. & Zhang, T., Feb 2024, In: Journal of Computational and Applied Mathematics. 437, 115498.

  Research output: Contribution to journal › Article › peer-review

  • Basis Function 100%
  • Approximation 100%
  • Mixed Finite Element Method 100%
  • Multiscale 100%
  • Finite Element Method 100%

• Bivariate extreme value analysis of extreme temperature and mortality in Canada, 2000-2020

  Zhang, Y., Wang, K., Ren, J., Liu, Y., Ma, F., Li, T., Chen, Y. & Ling, C., Dec 2024, In: BMC Public Health. 24, 1, 1344.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Bivariate 100%
  • Extreme Value 100%
  • Mortality 100%
  • Canada 100%
  • Extremal 50%

• Density and co-density of the solution set of an evolution inclusion with maximal monotone operators

  Timoshin, S. A. & Tolstonogov, A. A., May 2024, In: Communications in Nonlinear Science and Numerical Simulation. 132, 107907.

  Research output: Contribution to journal › Article › peer-review

  • Maximal Monotone Operator 100%
  • Term 75%
  • Growth Condition 50%
  • Closedness 25%
  • Separable Hilbert Space 25%

• Flexible-Center Hat Complete Electrode Model for EEG Forward Problem

  Zhang, T., Liu, Y., Ma, E., Peng, B., Aarabi, A., Zhang, S., Hu, Y., Xiang, J. & Dai, Y., 2024, In: IEEE Transactions on Biomedical Engineering. 71, 8, p. 2287-2299 13 p.

  Research output: Contribution to journal › Article › peer-review

  • Contact Conductance 100%
  • Coarse Mesh 100%
  • Simulation Experiment 100%
  • Uniform Distribution 100%
  • Electroencephalography 100%
  1 Citation (Scopus)

• Formaldehyde degradation by soft-sliding-electrification-induced air ionization

  Chen, G., Zhang, F., Shen, L., Yi, J., Jiang, P., Wei, Y., Hou, J., Liu, Y., Cao, J., Sun, X. & Wen, Z., May 2024, In: Nano Energy. 123, 109431.

  Research output: Contribution to journal › Article › peer-review

  • Ionization 100%
  • Air 100%
  • Air Discharge 50%
  • Pollutant Removal 50%
  • Degradation System 50%

• From law of the iterated logarithm to Zolotarev distance for supercritical branching processes in random environment

  Ye, Y., Nov 2024, In: Statistics and Probability Letters. 214, 8 p., 110194.

  Research output: Contribution to journal › Article › peer-review

  • Iterated Logarithm 100%
  • Wasserstein Distance 50%
  • Distributed Environment 50%
  • Convergence Rate 50%

• Hematoma Expansion Prediction Based on SMOTE And XGBoost Algorithm

  Li, Y., Du, C., Ge, S., Zhang, R., Shao, Y., Chen, K., Li, Z. & Ma, F., Dec 2024, In: BMC Medical Informatics and Decision Making. 24, 1, 172.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Extreme Gradient Boosting 100%
  • Hematoma 100%
  • Machine Learning 33%
  • Imbalanced Data 33%
  • Data Augmentation 33%

• Lightning graph matching

  Shen, B., Zhu, S. & Niu, Q., 13 Aug 2024, In: Journal of Computational and Applied Mathematics. 454, 116189 p., 454.

  Research output: Contribution to journal › Article › peer-review

• Localized kernel-based meshless method for pricing financial options underlying fractal transmission system

  Nikan, O., Avazzadeh, Z. & Tenreiro Machado, J. A., 30 Mar 2024, In: Mathematical Methods in the Applied Sciences. 47, 5, p. 3247-3260 14 p.

  Research output: Contribution to journal › Article › peer-review
  26 Citations (Scopus)

• Mass and heat transfer in audible sound driven bubbles

  Masiello, D., Tudela, I., Shaw, S. J., Jacobson, B., Prentice, P., Valluri, P. & Govindarajan, R., Dec 2024, In: Ultrasonics Sonochemistry. 111, 107068.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Sonochemistry 100%
  • Bubble Size 100%
  • Boundary Layer Thickness 100%
  • Ultrasonic Processing 75%
  • Acoustic Frequency 75%
  1 Citation (Scopus)

• Mean-square exponential stablization of memristive neuralnetworks: Deal

  Xiao, S., Wang, Z., Si, X. & Liu, G., 28 Nov 2024, In: Communications in Nonlinear Science and Numerical Simulation. 138, 108188

  Research output: Contribution to journal › Article › peer-review

  • Numerical Example 100%
  • Lyapunov Stability 100%
  • Lyapunov Function 100%
  • Mean Square 100%
  • Exponential Stabilization 75%

• Neuromorphic Computing Assisted Triboelectric Capacitive-Coupled Tactile Sensor Array for Wireless Mixed Reality Interaction

  Xie, X., Wang, Q., Zhao, C., Sun, Q., Gu, H., Li, J., Tu, X., Nie, B., Sun, X., Liu, Y., Lim, E. G., Wen, Z. & Wang, Z. L., 2024, In: ACS Nano. 18, 17041-17052

  Research output: Contribution to journal › Article › peer-review

  4 Citations (Scopus)

• Nonlinear waves propagating over a deformable seafloor

  Kostikov, V., Hayatdavoodi, M. & Ertekin, R. C., Sept 2024, In: Physics of Fluids. 36, 9, 18 p., 096617.

  Research output: Contribution to journal › Article › peer-review

  • Nonlinear Wave 100%
  • Bottom Condition 100%
  • Coastal Area 100%
  • Propagating Wave 100%
  • Fluid Flow 50%
  1 Citation (Scopus)

• Parametrically excited shape distortion of a submillimeter bubble

  Shaw, S. J., 1 Jul 2024, In: Journal of the Acoustical Society of America. 156, 1, p. 55-64 10 p.

  Research output: Contribution to journal › Article › peer-review

  • Include Shape 100%
  1 Citation (Scopus)

• RCsearcher: Reaction center identification in retrosynthesis via deep Q-learning

  Lan, Z., Zeng, Z., Hong, B., Liu, Z. & Ma, F., Jun 2024, In: Pattern Recognition. 150, 110318.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Chemical Reaction 100%
  • Individual Component 50%
  • Chemical Reaction Product 33%
  • Local Property 33%
  • Multiple Bond 33%
  2 Citations (Scopus)

• Research Progress in Self-Powered Pressure Sensor for Internet of Healthcare

  Lu, B., Xie, L., Lei, H., Liu, Y., Zhao, C., Sun, X. & Wen, Z., 2024, In: Advanced Materials Technologies. 2301480

  Research output: Contribution to journal › Article › peer-review

• Self-propulsion of a periodically forced shape-deforming submillimeter gas bubble

  Shaw, S. J., May 2024, In: Physical Review E. 109, 5, 055107.

  Research output: Contribution to journal › Article › peer-review

  • Growing Mode 100%
  1 Citation (Scopus)

• Strain-insensitive stretchable triboelectric tactile sensors via interfacial stress dispersion

  Zhang, L., Gao, Z., Lei, H., Liu, Y., Yi, J., Wang, A., Gu, H., Shi, J., Zhang, P., Wen, Z. & Sun, X., 16 Nov 2024, In: Nano Energy. 133, 10 p., 110482.

  Research output: Contribution to journal › Article › peer-review

• The heat semigroup associated with the Jacobi–Cherednik operator and its applications

  Poria, A. & Radha, R., 2024, (Accepted/In press) In: Applicable Analysis.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Semigroup 100%
  • Heat Kernel 66%

• Traveling wave solutions of the nonlinear Gilson–Pickering equation in crystal lattice theory

  Nguyen, A. T., Nikan, O. & Avazzadeh, Z., Feb 2024, In: Journal of Ocean Engineering and Science. 9, 1, p. 40-49 10 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Differences 100%
  • Crystal Structure 100%
  • Traveling Wave 100%
  • Terms 50%
  • Foci 50%
  9 Citations (Scopus)

• Ultrasensitive Wearable Pressure Sensors with Stress-Concentrated Tip-Array Design for Long-Term Bimodal Identification

  Xie, L., Lei, H., Liu, Y., Lu, B., Qin, X., Zhu, C., Ji, H., Gao, Z., Wang, Y., Lv, Y., Zhao, C., Mitrovic, I. Z., Sun, X. & Wen, Z., Jul 2024, In: Advanced Materials.

  Research output: Contribution to journal › Article › peer-review

  4 Citations (Scopus)

• Unbounded perturbation of an evolution hemivariational inequality

  Liu, Z., Bin, C., Liu, X. & Timoshin, S. A., Jun 2024, In: Nonlinear Analysis: Real World Applications. 77, 104070.

  Research output: Contribution to journal › Article › peer-review

  • Hemivariational Inequality 100%

• Uncertainty principles for the short-time Fourier transform on the lattice

  Poria, A. & Dasgupta, A., 2024, In: Mathematische Nachrichten. 297, 4, p. 1501-1518 18 p.

  Research output: Contribution to journal › Article › peer-review

  • Time 100%
  • Transform 100%
  • Lattices 100%
  • Time Fourier Transform 100%
  • Uncertainty Principle 100%
• 2023

  AEDNet: Adaptive Edge-Deleting Network For Subgraph Matching

  Lan, Z., Ma, Y., Yu, L., Yuan, L. & Ma, F., Jan 2023, In: Pattern Recognition. 133, 109033.

  Research output: Contribution to journal › Article › peer-review

  • Resulting Graph 100%
  10 Citations (Scopus)

• A formula for the sum of n weak* closed sets in L^∞

  Zivari-Rezapour, M., Liu, Y. & Emamizadeh, B., 2023, In: Comptes Rendus Mathematique. 361, G10, p. 1635-1639 5 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Optimal Control Problem 100%
  • Closed Set 100%
  • Closure 100%
  1 Citation (Scopus)

• An equilibrium finite element method for electrical impedance tomography

  Ma, E., Mar 2023, In: Engineering Research Express. 5, 1, 015042.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Density 100%
  • Finite Element Method 100%
  • Electrical Impedance 100%
  • Tomography 100%
  • Joule 50%
  1 Citation (Scopus)

• A New Entropy Stable Finite Difference Scheme for Hyperbolic Systems of Conservation Laws

  Zhang, Z., Zhou, X., Li, G., Qian, S. & Niu, Q., Jun 2023, In: Mathematics. 11, 12, 2604.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Hyperbolic Systems 100%
  • Order 100%
  • Difference Scheme 100%
  • Conservation Law 100%
  • Entropy 100%

• A New Well-Balanced Finite Volume CWENO Scheme for Shallow Water Equations over Bottom Topography

  Guo, W., Chen, Z., Qian, S., Li, G. & Niu, Q., 2023, In: Advances in Applied Mathematics and Mechanics. 15, 6, p. 1515-1539 25 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Volume 100%
  • Reconstruction 100%
  • Decomposition 100%
  • Algorithms 100%
  • Steady State 100%
  2 Citations (Scopus)

• Applying Monte Carlo Dropout to Quantify the Uncertainty of Skip Connection-Based Convolutional Neural Networks Optimized by Big Data

  Choubineh, A., Chen, J., Coenen, F. & Ma, F., Mar 2023, In: Electronics (Switzerland). 12, 6, 1453.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Accuracy 100%
  • Convolutional Neural Network 100%
  • Big Data 100%
  • Reliability 100%
  • Neural Network 100%
  4 Citations (Scopus)

• A Quantitative Insight Into the Role of Skip Connections in Deep Neural Networks of Low Complexity: A Case Study Directed at Fluid Flow Modeling

  Choubineh, A., Chen, J., Coenen, F. & Ma, F., Feb 2023, In: Journal of Computing and Information Science in Engineering. 23, 1, p. 1-21 014502.

  Research output: Contribution to journal › Article › peer-review

  • Complexities 100%
  • Neural Network 100%
  • Inclusion 33%
  • Neighboring Block 33%
  3 Citations (Scopus)

• A self-powered triboelectric UV photodetector based on coupling impedance matching and photoresistive effect by sensing-electrode model

  Peng, M., Ji, H., Liu, S., Lv, P., Kuang, Y., Liu, Y., Liu, Y., Sun, X. & Wen, Z., May 2023, In: Nano Energy. 109, 108294.

  Research output: Contribution to journal › Article › peer-review

  • Models 100%
  • Self-Powered 100%
  • Couplings 100%
  • Impedance 100%
  • Photodetector 100%
  7 Citations (Scopus)

• A two-dimensional transient study on the impact of pore space connectivity on the immiscible two-phase flow in a water-wet, water–oil system

  Zhang, H., Papadikis, K. & Shaw, S. J., Aug 2023, In: International Journal of Multiphase Flow. 165, 104474.

  Research output: Contribution to journal › Article › peer-review

  • Impact 100%
  • Investigation 100%
  • Water 100%
  • Pore Space 100%
  • Connectivity 100%
  4 Citations (Scopus)

• Confluent Vandermonde with Arnoldi

  Niu, Q., Zhang, H. & Zhou, Y., Jan 2023, In: Applied Mathematics Letters. 135, 108420.

  Research output: Contribution to journal › Article › peer-review

  • Approach 100%
  • Vandermonde 100%
  • Value 100%
  • Theorems 100%
  • Procedure 100%
  1 Citation (Scopus)

• Deep ensemble learning for high-dimensional subsurface fluid flow modeling

  Choubineh, A., Chen, J., Wood, D. A., Coenen, F. & Ma, F., Nov 2023, In: Engineering Applications of Artificial Intelligence. 126, 106968.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Fluid Flow 100%
  • Regression 100%
  • Learning 100%
  • Flow Modeling 100%
  • Modeling 100%

• Effective interfacial energy band engineering strategy toward high-performance triboelectric nanogenerator

  Xie, X., Fang, Y., Lu, C., Tao, Y., Yin, L., Zhang, Y., Wang, Z., Wang, S., Zhao, J., Tu, X., Sun, X., Lim, E. G., Zhao, C., Liu, Y. & Wen, Z., 15 Jan 2023, In: Chemical Engineering Journal. 452, 139469.

  Research output: Contribution to journal › Article › peer-review

  • Permittivity 100%
  • Energy Band 100%
  • Interfacial Energy 100%
  • Electrode 50%
  • Surface 50%
  38 Citations (Scopus)

• Fourier Neural Operator for Fluid Flow in Small-Shape 2D Simulated Porous Media Dataset

  Choubineh, A., Chen, J., Wood, D. A., Coenen, F. & Ma, F., Jan 2023, In: Algorithms. 16, 1, 24.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Shapes 100%
  • Model 100%
  • Media 100%
  • Models 100%
  • Fluid Flow 100%
  7 Citations (Scopus)

• Intelligent interpretation of four lung ultrasonographic features with split attention based deep learning model

  Chen, J., Shen, M., Hou, S., Duan, X., Yang, M., Cao, Y., Niu, Q., Wei, Q., Li, Q., Zhang, Y. & Wang, Y., Mar 2023, In: Biomedical Signal Processing and Control. 81, 104228

  Research output: Contribution to journal › Article › peer-review

  1 Citation (Scopus)

• Localization operators associated with the windowed Opdam–Cherednik transform on modulation spaces

  Poria, A., 2023, In: Complex Variables and Elliptic Equations. 68, 8, p. 1361-1384 24 p.

  Research output: Contribution to journal › Article › peer-review

  • Operators 100%
  • Transforms 100%
  • Modulation Space 100%
  • Classes 75%
  • Boundedness 25%
  2 Citations (Scopus)

• Localization operators on discrete modulation spaces

  Dasgupta, A. & Poria, A., Jul 2023, In: Banach Journal of Mathematical Analysis. 17, 3, 59.

  Research output: Contribution to journal › Article › peer-review

  • Fourier Multipliers 100%
  • Pseudodifferential Operator 100%
  • Time Fourier Transform 100%
  1 Citation (Scopus)

• Neuromorphic visual artificial synapse in-memory computing systems based on GeO_x-coated MXene nanosheets

  Cao, Y., Zhao, T., Liu, C., Zhao, C., Gao, H., Huang, S., Li, X., Wang, C., Liu, Y., Lim, E. G. & Wen, Z., Jul 2023, In: Nano Energy. 112, 108441.

  Research output: Contribution to journal › Article › peer-review

  • Devices 100%
  • Nanosheet 100%
  • MXene 100%
  • Optoelectronics 50%
  • Material 25%
  12 Citations (Scopus)

• Numerical treatment of temporal-fractional porous medium model occurring in fractured media

  Meher, R., Kesarwani, J., Avazzadeh, Z. & Nikan, O., Oct 2023, In: Journal of Ocean Engineering and Science. 8, 5, p. 481-499 19 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access
  8 Citations (Scopus)

• Quasi-electrostatic three-dimensional charge model for contact-separation triboelectric nanogenerator

  Chen, X., Zhang, F., Han, C., Liu, Y., Chen, G. Y., Sun, X. & Wen, Z., 15 Jun 2023, In: Nano Energy. 111, 108435.

  Research output: Contribution to journal › Article › peer-review

  • Model 100%
  • Electrostatics 100%
  • Electric Fields 100%
  • Models 100%
  • Triboelectric Nanogenerators 100%
  4 Citations (Scopus)

• Self-Assembled Porous-Reinforcement Microstructure-Based Flexible Triboelectric Patch for Remote Healthcare

  Lei, H., Ji, H., Liu, X., Lu, B., Xie, L., Lim, E. G., Tu, X., Liu, Y., Zhang, P., Zhao, C., Sun, X. & Wen, Z., Dec 2023, In: Nano-Micro Letters. 15, 1, 109.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Pressure 100%
  • Detection 100%
  • Microstructure 100%
  • Monitoring 100%
  • Rubber 66%
  22 Citations (Scopus)

• Solution for generalized fuzzy fractional Kortewege-de Varies equation using a robust fuzzy double parametric approach

  Verma, L., Meher, R., Avazzadeh, Z. & Nikan, O., Dec 2023, In: Journal of Ocean Engineering and Science. 8, 6, p. 602-622 21 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Nonlinear 100%
  • Modeling 100%
  • Parametric 100%
  • Transforms 100%
  • Homotopy Analysis Method 100%
  18 Citations (Scopus)