Numerical methods for ordinary differential equations: Difference between revisions

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*{{cite book|last=Bradie|first=Brian|title=A Friendly Introduction to Numerical Analysis|year=2006|publisher=Pearson Prentice Hall|___location=Upper Saddle River, New Jersey|isbn=978-0-13-013054-9}}

*[[John C. Butcher|J. C. Butcher]], ''Numerical methods for ordinary differential equations'', {{isbn|0-471-96758-0}}

*{{cite book

*Ernst Hairer, Syvert Paul Nørsett and Gerhard Wanner, ''Solving ordinary differential equations I: Nonstiff problems,'' second edition, Springer Verlag, Berlin, 1993. {{isbn|3-540-56670-8}}.

| last1 = Hairer | first1 = E.

| last2 = Nørsett | first2 = S. P.

| last3 = Wanner | first3 = G.

| edition = 2nd

| isbn = 3-540-56670-8

| mr = 1227985

| publisher = Springer-Verlag, Berlin

| series = Springer Series in Computational Mathematics

| title = Solving Ordinary Differential Equations. I. Nonstiff Problems

| volume = 8

| year = 1993}}

*Ernst Hairer and Gerhard Wanner, ''Solving ordinary differential equations II: Stiff and differential-algebraic problems,'' second edition, Springer Verlag, Berlin, 1996. {{isbn|3-540-60452-9}}. <br> ''(This two-volume monograph systematically covers all aspects of the field.)''

*{{cite journal|last=Hochbruck|first=Marlis|author1-link=Marlis Hochbruck|author2-last=Ostermann, |author2-first=Alexander |title=Exponential integrators|journal=Acta Numerica|volume=19|date=May 2010|pages=209–286|doi=10.1017/S0962492910000048|bibcode=2010AcNum..19..209H|citeseerx=10.1.1.187.6794|s2cid=4841957 }}

*Arieh Iserles, ''A First Course in the Numerical Analysis of Differential Equations,'' Cambridge University Press, 1996. {{isbn|0-521-55376-8}} (hardback), {{isbn|0-521-55655-4}} (paperback). <br> ''(Textbook, targeting advanced undergraduate and postgraduate students in mathematics, which also discusses [[numerical partial differential equations]].)''

*John Denholm Lambert, ''Numerical Methods for Ordinary Differential Systems,'' John Wiley & Sons, Chichester, 1991. {{isbn|0-471-92990-5}}. <br> ''(Textbook, slightly more demanding than the book by Iserles.)''