Index A | B | C | D | E | F | G | H | I | J | L | M | N | O | P | R | S | T | U | W | Z A A-stability absolutely stable Adams--Bashforth Adams--Moulton adjacency matrix Auxiliary Equation Ordinary Differential Equation B backward difference backward differentiation formulae Binomial Expansion binomial coefficient general binomial coefficient general binomial expansion C Characteristic Equation Ordinary Differential Equation characteristic equation, [1], [2] Characteristic Polynomial Ordinary Differential Equation characteristic polynomial, [1] column count complex conjugate Complex Number Complex Conjugate Complex Number Set Three forms complex number convergent D Derivatives Leibniz notation Newton's dot notation Prime notation Difference Equation Homogeneous Linear Difference Equation Shift Operator difference operators Differential Equation General Form Homogeneous Linear Nonhomogeneous Nonlinear Normal Form Order and Degree Ordinary Differential Equation Partial Differential Equation Differential Operator Ordinary Differential Equation differential operator E error constant Explicit Solution Ordinary Differential Equation explicit solution F first characteristic polynomial forward difference G General Form Differential Equation global error Gregory-Newton Interpolation Formulae Gregory-Newton Backward Interpolation Gregory-Newton Forward Interpolation H Homogeneous Differential Equation I Implicit Solution Ordinary Differential Equation implicit solution Initial Value Problem IVP, Ordinary Differential Equation Integrals interval of absolute/relative stability interval of definition IVP Ordinary Differential Equation Initial Value Problem J Jacobian matrix L Leibniz notation Derivatives Linear Differential Equation Linear Difference Equation linear multistep method local error local truncation error M Milne's device minimum degree N Newton's dot notation Derivatives Nonhomogeneous Differential Equation Nonlinear Differential Equation Normal Form Differential Equation O Operator Form Ordinary Differential Equation Order and Degree Differential Equation Ordinary Differential Equation Auxiliary Equation Characteristic Equation Characteristic Polynomial Differential Equation Differential Operator Existence and Uniqueness Explicit Solution General Form Implicit Solution Initial Value Problem IVP Interval Lipschitz Continuity Normal Form Operator Form Separable Equation Superposition Principle Undetermined Coefficients Method P Partial Differential Equation Differential Equation predictor-corrector Prime notation Derivatives R relatively stable Reverse Cuthill and McKee root condition S second characteristic polynomial Separable Equation Ordinary Differential Equation Sequence shift operators shifting sparse matrix Stability step size stiffness ratio strongly stable Superposition Principle Ordinary Differential Equation T time constants U Undetermined Coefficients Method Ordinary Differential Equation W weakly stable Z zero-stable
