Numerical Analysis 2000: Vol. VI: Ordinary Differential Equations and Integral Equations
Numerical methods for ordinary differential equations in the 20th century
Initial value problems for ODEs in problem solving environments
Resolvent conditions and bounds on the powers of matrices, with relevance to numerical stability of initial value problems
Numerical bifurcation analysis for ODEs
Preserving algebraic invariants with Runge–Kutta methods
Performance of two methods for solving separable Hamiltonian systems
Order stars and stiff integrators
Exponentially fitted Runge–Kutta methods
Modified extended backward differentiation formulae for the numerical solution of stiff initial value problems in ODEs and DAEs
Software and algorithms for sensitivity analysis of large-scale differential algebraic systems
Compensating for order variation in mesh refinement for direct transcription methods
Continuous numerical methods for ODEs with defect control
Numerical solutions of stochastic differential equations – implementation and stability issues
Numerical modelling in biosciences using delay differential equations
Dynamics of constrained differential delay equations
A perspective on the numerical treatment of Volterra equations
Numerical stability of nonlinear delay differential equations of neutral type
Numerical bifurcation analysis of delay differential equations
How do numerical methods perform for delay differential equations undergoing a Hopf bifurcation?
Designing efficient software for solving delay differential equations
Introduction to the numerical analysis of stochastic delay differential equations
Retarded differential equations
Adaptive space–time finite element solution for Volterra equations arising in viscoelasticity problems
CP methods for the Schrödinger equation
Asymptotic correction of Numerov's eigenvalue estimates with natural boundary conditions
Numerical methods for higher order Sturm–Liouville problems
On a computer assisted proof of the existence of eigenvalues below the essential spectrum of the Sturm–Liouville problem
Numerical analysis for one-dimensional Cauchy singular integral equations
Numerical methods for integral equations of Mellin type
Quadrature methods for 2D and 3D problems
Qualocation
A sparse H-matrix arithmetic: general complexity estimates
Multilevel methods for the h-, p-, and hp-versions of the boundary element method
Domain decomposition methods via boundary integral equations
Index
