Methods for Mathematical Modeling

This cluster focuses on the various methods employed in mathematical modeling to analyze and understand nonlinear systems. It explores sensitivity analysis, Monte Carlo methods, and other techniques applicable to diverse systems.

Mathematical modeling
Sensitivity analysis
Monte Carlo methods
Nonlinear systems
Analysis techniques
Computational approaches

22,786 papers

Parent topic: Fluid Dynamics and Computational Modeling

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Papers Over Time

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Top Papers

Global Sensitivity Indices For Nonlinear Mathematical Models And Their Monte Carlo Estimates

2001 · 4,026 citations

Mathematical Methods Of Classical Mechanics

1989 · 3,250 citations

Mathematical Methods Of Classical Mechanics

1978 · 2,731 citations

Hitchhikerʼs Guide To The Fractional Sobolev Spaces

2012 · 2,729 citations

The Statistical Mechanical Theory Of Transport Processes. IV. The Equations Of Hydrodynamics

1950 · 2,137 citations

Minimax Methods In Critical Point Theory With Applications To Differential Equations

1986 · 1,857 citations

The Boltzmann Equation And Its Applications

1988 · 1,594 citations

Some Asymptotic Methods For Strongly Nonlinear Equations

2006 · 1,593 citations

The Statistical Mechanical Theory Of Solutions. I

1951 · 1,539 citations

Extended Tanh-Function Method And Its Applications To Nonlinear Equations

2000 · 1,487 citations

A Theoretical Basis For The Application Of Fractional Calculus To Viscoelasticity

1983 · 1,465 citations

The Concentration-Compactness Principle In The Calculus Of Variations. The Locally Compact Case, Part 1.

1984 · 1,404 citations

Fractional Calculus And Waves In Linear Viscoelasticity

2010 · 1,346 citations

The Maxwell-Stefan Approach To Mass Transfer

1997 · 1,259 citations

The Concentration-Compactness Principle In The Calculus Of Variations. The Locally Compact Case, Part 2

1984 · 1,243 citations

A New Collection Of Real World Applications Of Fractional Calculus In Science And Engineering

2018 · 1,243 citations

Advanced Mathematical Methods For Scientists And Engineers I

1999 · 1,199 citations

The Concentration-Compactness Principle In The Calculus Of Variations. The Limit Case, Part 1

1985 · 1,196 citations

Convex Bodies: The Brunn–Minkowski Theory

1993 · 1,175 citations

A Scaled Particle Theory Of Aqueous And Nonaqueous Solutions

1976 · 1,137 citations