Faculty

Institution

Unit

Venue

Weizhong Dai

Louisiana Tech University

Affiliations

Centers Of Excellence

Human Performance Laboratories

College Of Human Ecology

School Of Human Ecology

NoneWeizhong Dai is currently serving as a Centers Of Excellence faculty at Louisiana Tech University.

Honors

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Experiences

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Education

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Weizhong Dai

Louisiana Tech University

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applied mathematics numerical analysis engineering partial differential equations numerical method for partial differential equation thermal engineering heat transfer numerical mathematics applied physics numerical simulations boundary value problems differential equations nonlinear analysis computational mathematics numerical computation heat mass transfer transport phenomena thermal modeling lasers thermal transport scientific computing heat transfer process laser processing technology physics numerical treatment nonlinear science multiphysics problems thermal analysis semi-implicit method boundary element methods thermodynamics advanced laser processing laser science hyperbolic conservation laws ultrashort-pulsed lasers thermal deformation numerical method fractional calculus computational fluid dynamics numerical algorithms nonlinear phenomena nonlinear equations finite element methods thermal conduction fractional-order systems fractional dynamic finite difference scheme neumann boundary conditions laser-induced breakdown dermal structure optimal temperature distribution variable coefficients nanoscale modeling cutaneous biology mass transfer high-frequency approximation triple-layered skin structure finite difference method computational physics vascular biology nanoparticle research thermography anomalous diffusion thermal conductivity multi-physics modelling nonlinear hyperbolic problem double-layered thin film nanoscale heat conduction medical physics method of fundamental solution nanobiotechnology heat transport equation thin film fourth‐order compact schemes vein vasculature rosenau-kdv-rlw equation

Notable Scholarly Works

Notable Federal Grants

Collaborators

Explicit Finite Analytic Method for Unsteady Incompressible Laminar Two-Dimensional Navier-Stokes Equations. (2026)

Optical Solitons With Polynomial Law of Self-Phase Modulation by the Fourth-Order Conservative Finite Difference Scheme. AIMS Mathematics (2026)

A Conservative Higher-Order Finite Difference Scheme for Solving the Gardner Equation With Dual Power-Law Nonlinearities in Both 1D and 2d. Computers & Mathematics with Applications (2025)

hyperbolic conservation lawsboundary value problemsnonlinear analysisnonlinear sciencenonlinear hyperbolic problemnumerical method for partial differential equationnumerical analysisgardner equationcomputational mathematicsnumerical mathematicspartial differential equationsnumerical computationdifferential equationsdual power-law nonlinearitiesnumerical treatmentapplied mathematics

A Linear and Mass Conservative Scheme for the Thermal Soliton Model Based on Nonlinear SchröDinger and Heat Transfer Equations. Journal of Computational and Applied Mathematics (2025)

nonlinear phenomenanonlinear systemsnonlinear analysisnonlinear sciencemass conservative schemetopological solitonthermal soliton modelnonlinear equationsheat mass transferheat transferpartial differential equationsheat transfer equations

An Artificial Neural Network Method for Simulating Soliton Propagation Based on the Rosenau-Kdv-Rlw Equation on Unbounded Domains. Mathematics (2025)

nonlinear phenomenanonlinear systemsboundary value problemsnonlinear sciencesoliton propagationnonlinear wave propagationnumerical analysistopological solitonwave nonlinearitynonlinear equationsunbounded domainsrosenau-kdv-rlw equationpartial differential equationsnonlinear resonanceapplied mathematics

A Physics-Informed Neural Network Method for Thermal Analysis in Laser-Irradiated 3D Skin Tissues With Embedded Vasculature, Tumor and Gold Nanorods. International Journal of Heat and Mass Transfer (2025)

thermal engineeringmedical optical imagingskin tissuesphotomedicinegold nanorodsbiophotonicsthermographydermatologythermal analysiscancer imagingbiomedical engineeringradiationbiomedical computingbiomedical imaging

Explainable Deep Learning for American Rate and Volatility Models. Research Square (2025)

deep learningexplainable deep learningrecurrent neural networksneural network (machine learning)computational intelligencedata sciencemachine learning

Linear Damped Oscillations Underlying the Fractional Jeffreys Equation. Fractal and Fractional (2025)

nonlinear analysisnonlinear sciencefractional-order systemsnonlinear equationsfractional calculusfractional dynamicnonlinear dynamicsdifferential equationslinear damped oscillationsapplied mathematicsdynamical systems

Neural Network Smoothing of American Options Payoff With Grid Refinement Strategies. Research Square (2025)

mathematical optimizationsystems engineeringoperations researchgrid refinement strategiesamerican optionscontrol optimizationcomputational financeneural network (machine learning)option pricingneural network smoothingfinancial engineeringapplied mathematics

Recent Advances and New Challenges in Coupled Systems and Networks: Theory, Modelling, and Applications (Special Issue in Honor of Professor Roderick Melnik). Mathematical and Computational Applications (2025)

global networksnonlinear sciencesystem sciencenew challengesrecent advancesdynamic networksnetwork analysissystems engineeringprofessor roderick melnikmathematicsnonlinear dynamicsnetwork theorycomplex systemssystem dynamicsnonlinear systemscomplex dynamic systemsgeneral systemsnetwork dynamicsmultiagent systemsnetwork scienceapplied mathematicsdynamical systems

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Weizhong Dai

Louisiana Tech University

Affiliations

Centers Of Excellence

Human Performance Laboratories

College Of Human Ecology

School Of Human Ecology

NoneWeizhong Dai is currently serving as a Centers Of Excellence faculty at Louisiana Tech University.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Weizhong Dai

Louisiana Tech University

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Explicit Finite Analytic Method for Unsteady Incompressible Laminar Two-Dimensional Navier-Stokes Equations. (2026)

Optical Solitons With Polynomial Law of Self-Phase Modulation by the Fourth-Order Conservative Finite Difference Scheme. AIMS Mathematics (2026)

A Conservative Higher-Order Finite Difference Scheme for Solving the Gardner Equation With Dual Power-Law Nonlinearities in Both 1D and 2d. Computers & Mathematics with Applications (2025)

A Linear and Mass Conservative Scheme for the Thermal Soliton Model Based on Nonlinear SchröDinger and Heat Transfer Equations. Journal of Computational and Applied Mathematics (2025)

An Artificial Neural Network Method for Simulating Soliton Propagation Based on the Rosenau-Kdv-Rlw Equation on Unbounded Domains. Mathematics (2025)

Explainable Deep Learning for American Rate and Volatility Models. Research Square (2025)

deep learningexplainable deep learningrecurrent neural networksneural network (machine learning)computational intelligencedata sciencemachine learning

Linear Damped Oscillations Underlying the Fractional Jeffreys Equation. Fractal and Fractional (2025)

Neural Network Smoothing of American Options Payoff With Grid Refinement Strategies. Research Square (2025)

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5
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10 / page