Open science
Open science
The code and notes behind these plots can be shared. Nothing here costs money. Some files are open now, the rest are sent by email once I approve a request.
Free of cost
Downloads and requests are free. There is no payment, no account and no subscription. The request step exists only so that a file reaches the person who wants it.
Open now
The code and PDF notes for the home page fluid demo can be downloaded straight away.
Shared on approval
For every other plot I review the request and reply by email with the code and the PDF notes. The request goes to me, and nobody else sees it.
What is shared
- The plot's code (Python or Julia), as a zip.
- The PDF notes that explain the plot.
What is never shared
- Anything from work that is not yet published (see the disclosure policy).
- Private data and credentials.
To recreate a plot
- Watch the clip in the Studio.
- Request the code and PDF notes for that plot.
- Run the code and change the inputs.
How the Studio fits in
The Math Studio is a teaching and showcase tool. It plays short clips of how a plot is built and explains each figure. Math Studio
Open and on request
| Item | Access | Studio | Get it |
|---|---|---|---|
| Home page fluid simulation (stable-fluids solver) | Open | Watch the clip for Home page fluid simulation (stable-fluids solver) | |
| Enhanced Multi-Stage Optimization Technique for Fuel Combustion Kinetic Mechanisms Project page | On request | Watch the clip for Enhanced Multi-Stage Optimization Technique for Fuel Combustion Kinetic Mechanisms | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| PANSOPHIA multiphysics test cases Project page | On request | Watch the clip for PANSOPHIA multiphysics test cases | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| PANSOPHIA numerics teaching figures Project page | On request | Watch the clip for PANSOPHIA numerics teaching figures | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| PANSOPHIA — In-House CFD & Multiphysics Solver Project page | On request | Watch the clip for PANSOPHIA — In-House CFD & Multiphysics Solver | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| H₂/CH₄ Co-injection in Blast-Furnace Tuyeres Project page | On request | Watch the clip for H₂/CH₄ Co-injection in Blast-Furnace Tuyeres | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| dokimazo — A PIDO Optimization Workbench Project page | On request | Watch the clip for dokimazo — A PIDO Optimization Workbench | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| flamelab Project page | On request | Watch the clip for flamelab | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Reaction-Classification-Aware Multi-Stage Optimization Project page | On request | Watch the clip for Reaction-Classification-Aware Multi-Stage Optimization | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Steam-Catalytic Downdraft Gasification Project page | On request | Watch the clip for Steam-Catalytic Downdraft Gasification | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| PANSOPHIA geometry kernel Project page | On request | Watch the clip for PANSOPHIA geometry kernel | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Power-mean objective: Japan 2026 symposium paper Project page | On request | Watch the clip for Power-mean objective: Japan 2026 symposium paper | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Math Visual Studio Project page | On request | Watch the clip for Math Visual Studio | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| PANSOPHIA microfluidics solver Project page | On request | Watch the clip for PANSOPHIA microfluidics solver | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| MOSIAC Project page | On request | Watch the clip for MOSIAC | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| MSO Objective Functions & Multi-Stage Optimization Project page | On request | Watch the clip for MSO Objective Functions & Multi-Stage Optimization | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| MUQ-SAC — Joint Arrhenius Uncertainty Quantification Project page | On request | Watch the clip for MUQ-SAC — Joint Arrhenius Uncertainty Quantification | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| MUQSAC++ Project page | On request | - | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Neural ODEs and Transformations — A Self-Built Course Project page | On request | Watch the clip for Neural ODEs and Transformations — A Self-Built Course | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| vZero — A Neural ODE Research Playground Project page | On request | Watch the clip for vZero — A Neural ODE Research Playground | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| PhD thesis: a fast, robust, kinetics-based optimization framework Project page | On request | Watch the clip for PhD thesis: a fast, robust, kinetics-based optimization framework | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Plasma sludge pyrolysis Project page | On request | - | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Symbolic Regression for Universal Rate Rules Project page | On request | Watch the clip for Symbolic Regression for Universal Rate Rules | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Quantum chemistry Project page | On request | - | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Scientific ML for Stiff Kinetics Project page | On request | Watch the clip for Scientific ML for Stiff Kinetics | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Turbulence Closures — From Mixing Length to Data-Driven RANS Project page | On request | Watch the clip for Turbulence Closures — From Mixing Length to Data-Driven RANS | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Vaporizer & Combustion Rig Design Project page | On request | Watch the clip for Vaporizer & Combustion Rig Design | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| vZero explainer Project page | On request | Watch the clip for vZero explainer | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Math Studio clip: Mathematical foundations | On request | Watch the clip for Math Studio clip: Mathematical foundations | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Math Studio clip: Classical mechanics and oscillations | On request | Watch the clip for Math Studio clip: Classical mechanics and oscillations | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Math Studio clip: Statics and dynamics | On request | Watch the clip for Math Studio clip: Statics and dynamics | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Math Studio clip: Fluids and strength of materials | On request | Watch the clip for Math Studio clip: Fluids and strength of materials | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Math Studio clip: Electromagnetism, optics and quantum | On request | Watch the clip for Math Studio clip: Electromagnetism, optics and quantum | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Math Studio clip: Lagrange and Hamilton | On request | Watch the clip for Math Studio clip: Lagrange and Hamilton | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Math Studio clip: Finite elements, control and workflow | On request | Watch the clip for Math Studio clip: Finite elements, control and workflow | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Math Studio clip: Visual libraries | On request | Watch the clip for Math Studio clip: Visual libraries | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Math Studio clip: Exercises | On request | Watch the clip for Math Studio clip: Exercises | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Math Studio clip: Cross-disciplinary projects | On request | Watch the clip for Math Studio clip: Cross-disciplinary projects | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Math Studio clip: Molecular dynamics | On request | Watch the clip for Math Studio clip: Molecular dynamics | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Math Studio clip: Deformation and hair | On request | Watch the clip for Math Studio clip: Deformation and hair | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Math Studio clip: Joints and degrees of freedom | On request | Watch the clip for Math Studio clip: Joints and degrees of freedom | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Math Studio clip: Linkages and mobility | On request | Watch the clip for Math Studio clip: Linkages and mobility | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Math Studio clip: Supports and determinacy | On request | Watch the clip for Math Studio clip: Supports and determinacy | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Math Studio clip: Riemann prisms | On request | Watch the clip for Math Studio clip: Riemann prisms | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Math Studio clip: Polar coordinates | On request | Watch the clip for Math Studio clip: Polar coordinates | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Math Studio clip: Triple integral: boxes & mass | On request | Watch the clip for Math Studio clip: Triple integral: boxes & mass | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Math Studio clip: Cylindrical coordinates | On request | Watch the clip for Math Studio clip: Cylindrical coordinates | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Math Studio clip: Spherical coordinates | On request | Watch the clip for Math Studio clip: Spherical coordinates | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Math Studio clip: Change of variables (Jacobian) | On request | Watch the clip for Math Studio clip: Change of variables (Jacobian) | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Math Studio clip: Volumes by slicing: any cross-section | On request | Watch the clip for Math Studio clip: Volumes by slicing: any cross-section | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Math Studio clip: 3D determinant: the unit cube under A | On request | Watch the clip for Math Studio clip: 3D determinant: the unit cube under A | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Math Studio clip: Solids of revolution | On request | Watch the clip for Math Studio clip: Solids of revolution | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Math Studio clip: Linear maps in the plane | On request | Watch the clip for Math Studio clip: Linear maps in the plane | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Math Studio clip: Matrices in space | On request | Watch the clip for Math Studio clip: Matrices in space | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Math Studio clip: Arc length | On request | Watch the clip for Math Studio clip: Arc length | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Math Studio clip: Surface area | On request | Watch the clip for Math Studio clip: Surface area | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Math Studio clip: Double integrals | On request | Watch the clip for Math Studio clip: Double integrals | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Math Studio clip: Polar integration | On request | Watch the clip for Math Studio clip: Polar integration | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |
| Math Studio clip: Phase planes | On request | Watch the clip for Math Studio clip: Phase planes | To request the files, email me at krunalpanchal1995 [at] gmail [dot] com and mention the item id. |