"Read timed out" and "Socket closed" Errors

My sister was building when suddenly she was disconnected and I got the following on the console:

Code:

2011-08-10 17:08:12 [SEVERE] java.lang.OutOfMemoryError: Java heap space
2011-08-10 17:08:20 [SEVERE] 	at java.io.ByteArrayOutputStream.<init>(Unknown Source)
2011-08-10 17:08:24 [SEVERE] 	at net.minecraft.server.ChunkBuffer.<init>(SourceFile:253)
2011-08-10 17:08:24 [SEVERE] 	at net.minecraft.server.RegionFile.b(SourceFile:242)

After trying again, the error was:

Code:

2011-08-10 17:54:23 [SEVERE] java.net.SocketException: Socket closed
2011-08-10 17:54:23 [SEVERE] 	at java.net.SocketOutputStream.socketWrite(Unknown Source)
2011-08-10 17:54:23 [SEVERE] 	at java.net.SocketOutputStream.write(Unknown Source)
2011-08-10 17:54:23 [SEVERE] 	at java.io.BufferedOutputStream.flushBuffer(Unknown Source)
2011-08-10 17:54:23 [SEVERE] 	at java.io.BufferedOutputStream.flush(Unknown Source)
2011-08-10 17:54:23 [SEVERE] 	at java.io.DataOutputStream.flush(Unknown Source)
2011-08-10 17:54:23 [SEVERE] 	at net.minecraft.server.NetworkWriterThread.run(SourceFile:116)

The error displayed on Minecraft itself was "Internal exception: java.net.SocketTimeoutException: Read timed out"
Someone please help me with this, or at least tell me a plugin that can fix it. I tried Chunkster already and it didn't show any errors.

 

I tried again later and got this:

Code:

2011-08-13 10:13:33 [SEVERE] Exception in thread "Thread-5" java.lang.reflect.InvocationTar
2011-08-13 10:14:09 [SEVERE] getException

 

Same error, happens every once in awhile.

 

Is there no solution?

 

Bumping ancient threads will not help. If you have your own thread, wait patiently for a reply