Index A | B | C | D | E | F | G | H | I | J | L | M | N | O | P | Q | R | S | T | V | W A Algebraic multiplicity Assert (Python) Auxiliary condition B Basis Bisection method Break statement (Python) BTCS scheme C Canonical form (2nd order PDE) Central difference Class (Python) Coefficient of determination command line Continue statement (Python) Convolution Curl Curl of a vector field Curve fitting D D'Alembert's formula Delta function Determinant Dictionary (Python) Differential equation Differentiation Chain Rule Exponential Functions Polynomials Product Rule Quotient Rule Sum Rule Trigonometric Functions directional derivative Divergence Divergence of a vector field Divergence Theorem E Eigenvalue Eigenvector Elliptic PDE Explicit form (DE) Explicit scheme F File handling (Python) Finding roots of equations numerically For (Python) Forward difference Forward Euler scheme Fourier series Fourier series: coefficients Fourier transform method Fourier transforms Frobenius method FTCS scheme Function (Python) G Gauss-Jordan elimination, [1] Gauss-Seidel's method Gaussian elimination, [1] Gaussian function Geometric multiplicity Gibbs Phenomenon Gibbs phenomenon Gradient of a scalar field Green's Theorem H Handling errors (Python) Heat (diffusion) equation Heun's method Hyperbolic PDE I If (Python) Implicit form (DE) Implicit scheme Importing modules (Python) Inner product Integration by parts Interpolation Interpolation and curve fitting Invariants Inverse of a matrix Iterative methods to solve a matrix J Jacobi's method L Lambda (Python) Laplace operator Laplace's equation Laplacian Laplacian for scalar/vector fields Linear combination Linear Differential Equation Linear regression Linear system Linear transformation List (Python) List comprehension (Python) LU decomposition M Matplotlib (Python) Matrix norm Matrix norms Matrix operations Matrix-matrix multiplication Matrix-vector multiplication Method of characteristics N Nested list (Python) Norm Null space Numerical 2nd derivative Numerical differentiation Numerical integration O Odd and even functions Outer product P Parabolic PDE Partial differentiation Pass statement (Python) Permutations Picard's method Plots: 3D Plots: Animations Plots: histogram Plots: image Poisson's equation Power series method Printing (Python) Python Exercises Q Quiver plot R Range (Linear Algebra) Rank Root bracketing Root-mean-square error Roundoff errors Runge-Kutta method S Scalar field Scalar Laplacian Secant method of root finding Self-similar solution Separation of variables Series solution of ODEs Set (Python) Similar matrix SOR algorithm Spanning set Sparse matrices Statistics: basics Stokes' Theorem Streamline plot String formating (Python) SymPy: curl SymPy: differentiation SymPy: divergence SymPy: gradient T Taylor series Timestepping an ODE Trace Tuple (Python) V Variable (Python) Vector Calculus Vector calculus Vector differentiation Vector field Vector function Vector Laplacian Vector norms Vector space W Wave equation Well-posedness While (Python) Wronskian