Computational Methods
Teach reproducible calculations that turn formal exact descriptions into usable numerical or symbolic results.
This volume will develop the subjects in the chapter map below. Use the outline to locate the methods and examples you want to study; the individual readings are still being developed.
Learning sequences: Open Toda · The XXX spin chain · KdV solitons · Finite-ring TASEP
Readings and planned coverage
CHAPTER 01
Bethe-root & spectral solvers
Planned coverage
- Tracking Bethe roots and singular solutions
CHAPTER 02
Integral-equation solvers
Planned coverage
- Solving TBA integral equations numerically
CHAPTER 03
Numerical inverse scattering & Riemann–Hilbert problems
Planned coverage
- Numerical Riemann–Hilbert solvers
CHAPTER 04
Structure-preserving simulation
Planned coverage
- Conservation tests in integrable discretizations
CHAPTER 05
Symbolic verification & model discovery
Planned coverage
- Checking a candidate Yang–Baxter solution
CHAPTER 06
Correlation & form-factor algorithms
Planned coverage
- Sampling form-factor expansions
CHAPTER 07
Error control, benchmarks & reproducibility
Planned coverage
- Finite-size and truncation error budgets